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isa_cross_project_example
bool
1 class
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.m_spec
val m_spec : Type0
let m_spec = Core.m_spec
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 24, "end_line": 51, "start_col": 0, "start_line": 51 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Impl.Blake2.Core.m_spec" ]
[]
false
false
false
true
true
let m_spec =
Core.m_spec
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.t
val t : a: Hacl.Streaming.Blake2.Common.alg -> Type0
let t (a : alg) = Spec.state a
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 30, "end_line": 58, "start_col": 0, "start_line": 58 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Spec.Blake2.Definitions.state" ]
[]
false
false
false
true
true
let t (a: alg) =
Spec.state a
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.s
val s : a: Hacl.Streaming.Blake2.Common.alg -> m: Hacl.Streaming.Blake2.Common.m_spec -> Type0
let s (a : alg) (m : m_spec) = Core.(state_p a m & state_p a m)
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 63, "end_line": 55, "start_col": 0, "start_line": 55 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> m: Hacl.Streaming.Blake2.Common.m_spec -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Streaming.Blake2.Common.m_spec", "FStar.Pervasives.Native.tuple2", "Hacl.Impl.Blake2.Core.state_p" ]
[]
false
false
false
true
true
let s (a: alg) (m: m_spec) =
let open Core in state_p a m & state_p a m
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.s_v
val s_v (#a: alg) (#m: m_spec) (h: HS.mem) (s: s a m) : GTot (t a)
val s_v (#a: alg) (#m: m_spec) (h: HS.mem) (s: s a m) : GTot (t a)
let s_v (#a : alg) (#m : m_spec) (h : HS.mem) (s : s a m) : GTot (t a) = state_v h s
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 13, "end_line": 79, "start_col": 0, "start_line": 78 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
h: FStar.Monotonic.HyperStack.mem -> s: Hacl.Streaming.Blake2.Common.s a m -> Prims.GTot (Hacl.Streaming.Blake2.Common.t a)
Prims.GTot
[ "sometrivial" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Streaming.Blake2.Common.m_spec", "FStar.Monotonic.HyperStack.mem", "Hacl.Streaming.Blake2.Common.s", "Hacl.Streaming.Blake2.Common.state_v", "Hacl.Streaming.Blake2.Common.t" ]
[]
false
false
false
false
false
let s_v (#a: alg) (#m: m_spec) (h: HS.mem) (s: s a m) : GTot (t a) =
state_v h s
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.key_size_t
val key_size_t : a: Hacl.Streaming.Blake2.Common.alg -> Type0
let key_size_t (a : alg) = key_size:U32.t{U32.v key_size <= Spec.max_key a}
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 50, "end_line": 144, "start_col": 0, "start_line": 143 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "FStar.UInt32.t", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.UInt32.v", "Spec.Blake2.Definitions.max_key" ]
[]
false
false
false
true
true
let key_size_t (a: alg) =
key_size: U32.t{U32.v key_size <= Spec.max_key a}
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.key_size
val key_size : a: Hacl.Streaming.Blake2.Common.alg -> Type0
let key_size (a : alg) = kk:nat{kk <= Spec.max_key a}
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 53, "end_line": 140, "start_col": 0, "start_line": 140 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Spec.Blake2.Definitions.max_key" ]
[]
false
false
false
true
true
let key_size (a: alg) =
kk: nat{kk <= Spec.max_key a}
false
Hacl.Bignum.MontExponentiation.fst
Hacl.Bignum.MontExponentiation.bn_exp_mont_consttime
val bn_exp_mont_consttime: #t:limb_t -> k:BM.mont t -> bn_exp_mont_st t k.BM.bn.BN.len
val bn_exp_mont_consttime: #t:limb_t -> k:BM.mont t -> bn_exp_mont_st t k.BM.bn.BN.len
let bn_exp_mont_consttime #t k n mu r2 aM bBits b resM = if bBits <. size S.bn_exp_mont_consttime_threshold then bn_exp_mont_bm_consttime k n mu r2 aM bBits b resM else bn_exp_mont_fw_consttime k 4ul n mu r2 aM bBits b resM
{ "file_name": "code/bignum/Hacl.Bignum.MontExponentiation.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 58, "end_line": 300, "start_col": 0, "start_line": 296 }
module Hacl.Bignum.MontExponentiation open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer open Hacl.Bignum.Definitions module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BD = Hacl.Spec.Bignum.Definitions module SN = Hacl.Spec.Bignum module SM = Hacl.Spec.B...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery...
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Hacl.Impl.Exponentiation", "short_module": "BE" },...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
k: Hacl.Bignum.Montgomery.mont t -> Hacl.Bignum.MontExponentiation.bn_exp_mont_st t (Mkbn?.len (Mkmont?.bn k))
Prims.Tot
[ "total" ]
[]
[ "Hacl.Bignum.Definitions.limb_t", "Hacl.Bignum.Montgomery.mont", "Hacl.Bignum.Definitions.lbignum", "Hacl.Bignum.__proj__Mkbn__item__len", "Hacl.Bignum.Montgomery.__proj__Mkmont__item__bn", "Hacl.Bignum.Definitions.limb", "Lib.IntTypes.size_t", "Hacl.Bignum.Definitions.blocks0", "Lib.IntTypes.size",...
[]
false
false
false
false
false
let bn_exp_mont_consttime #t k n mu r2 aM bBits b resM =
if bBits <. size S.bn_exp_mont_consttime_threshold then bn_exp_mont_bm_consttime k n mu r2 aM bBits b resM else bn_exp_mont_fw_consttime k 4ul n mu r2 aM bBits b resM
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.get_state_p
val get_state_p (#a: alg) (#m: m_spec) (s: s a m) : Tot (Core.state_p a m)
val get_state_p (#a: alg) (#m: m_spec) (s: s a m) : Tot (Core.state_p a m)
let get_state_p (#a : alg) (#m : m_spec) (s : s a m) : Tot (Core.state_p a m) = match s with _, p -> p
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 24, "end_line": 69, "start_col": 0, "start_line": 68 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
s: Hacl.Streaming.Blake2.Common.s a m -> Hacl.Impl.Blake2.Core.state_p a m
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Streaming.Blake2.Common.m_spec", "Hacl.Streaming.Blake2.Common.s", "Hacl.Impl.Blake2.Core.state_p" ]
[]
false
false
false
false
false
let get_state_p (#a: alg) (#m: m_spec) (s: s a m) : Tot (Core.state_p a m) =
match s with | _, p -> p
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.k
val k : a: Hacl.Streaming.Blake2.Common.alg -> kk: Hacl.Streaming.Blake2.Common.key_size a -> Hacl.Streaming.Interface.stateful Prims.unit
let k = stateful_key
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 20, "end_line": 215, "start_col": 0, "start_line": 215 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> kk: Hacl.Streaming.Blake2.Common.key_size a -> Hacl.Streaming.Interface.stateful Prims.unit
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.stateful_key" ]
[]
false
false
false
false
false
let k =
stateful_key
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.mem_memP
val mem_memP (#a: eqtype) (x: a) (l: list a) : Lemma (ensures (mem x l <==> memP x l)) [SMTPat (mem x l); SMTPat (memP x l)]
val mem_memP (#a: eqtype) (x: a) (l: list a) : Lemma (ensures (mem x l <==> memP x l)) [SMTPat (mem x l); SMTPat (memP x l)]
let rec mem_memP (#a: eqtype) (x: a) (l: list a) : Lemma (ensures (mem x l <==> memP x l)) [SMTPat (mem x l); SMTPat (memP x l)] = match l with | [] -> () | a :: q -> mem_memP x q
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 26, "end_line": 42, "start_col": 0, "start_line": 34 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.mem x l <==> FStar.List.Tot.Base.memP x l) [SMTPat (FStar.List.Tot.Base.mem x l); SMTPat (FStar.List.Tot.Base.memP x l)]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.mem_memP", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_iff", "Prims.b2t", "FStar.List.Tot.Base.mem", "FStar.List.Tot.Base.memP", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.bool", "Prims....
[ "recursion" ]
false
false
true
false
false
let rec mem_memP (#a: eqtype) (x: a) (l: list a) : Lemma (ensures (mem x l <==> memP x l)) [SMTPat (mem x l); SMTPat (memP x l)] =
match l with | [] -> () | a :: q -> mem_memP x q
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.llist
val llist : a: Type -> n: Prims.nat -> Type
let llist a (n:nat) = l:list a {length l = n}
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 45, "end_line": 26, "start_col": 0, "start_line": 26 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Type -> n: Prims.nat -> Type
Prims.Tot
[ "total" ]
[]
[ "Prims.nat", "Prims.list", "Prims.b2t", "Prims.op_Equality", "FStar.List.Tot.Base.length" ]
[]
false
false
false
true
true
let llist a (n: nat) =
l: list a {length l = n}
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.memP_map_intro
val memP_map_intro (#a #b: Type) (f: (a -> Tot b)) (x: a) (l: list a) : Lemma (requires True) (ensures (memP x l ==> memP (f x) (map f l))) (decreases l)
val memP_map_intro (#a #b: Type) (f: (a -> Tot b)) (x: a) (l: list a) : Lemma (requires True) (ensures (memP x l ==> memP (f x) (map f l))) (decreases l)
let rec memP_map_intro (#a #b: Type) (f: a -> Tot b) (x: a) (l: list a) : Lemma (requires True) (ensures (memP x l ==> memP (f x) (map f l))) (decreases l) = match l with | [] -> () | _ :: q -> memP_map_intro f x q
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 34, "end_line": 79, "start_col": 0, "start_line": 68 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> b) -> x: a -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.memP x l ==> FStar.List.Tot.Base.memP (f x) (FStar.List.Tot.Base.map f l)) (decreases l)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.memP_map_intro", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_imp", "FStar.List.Tot.Base.memP", "FStar.List.Tot.Base.map", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec memP_map_intro (#a #b: Type) (f: (a -> Tot b)) (x: a) (l: list a) : Lemma (requires True) (ensures (memP x l ==> memP (f x) (map f l))) (decreases l) =
match l with | [] -> () | _ :: q -> memP_map_intro f x q
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.mem_existsb
val mem_existsb: #a:eqtype -> f:(a -> Tot bool) -> xs:list a -> Lemma(ensures (existsb f xs <==> (exists (x:a). (f x = true /\ mem x xs))))
val mem_existsb: #a:eqtype -> f:(a -> Tot bool) -> xs:list a -> Lemma(ensures (existsb f xs <==> (exists (x:a). (f x = true /\ mem x xs))))
let rec mem_existsb #a f xs = match xs with | [] -> () | hd::tl -> mem_existsb f tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 107, "start_col": 0, "start_line": 104 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> Prims.bool) -> xs: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.existsb f xs <==> (exists (x: a). f x = true /\ FStar.List.Tot.Base.mem x xs))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.mem_existsb", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec mem_existsb #a f xs =
match xs with | [] -> () | hd :: tl -> mem_existsb f tl
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.memP_existsb
val memP_existsb: #a: Type -> f:(a -> Tot bool) -> xs:list a -> Lemma(ensures (existsb f xs <==> (exists (x:a). (f x = true /\ memP x xs))))
val memP_existsb: #a: Type -> f:(a -> Tot bool) -> xs:list a -> Lemma(ensures (existsb f xs <==> (exists (x:a). (f x = true /\ memP x xs))))
let rec memP_existsb #a f xs = match xs with | [] -> () | hd::tl -> memP_existsb f tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 31, "end_line": 66, "start_col": 0, "start_line": 63 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> Prims.bool) -> xs: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.existsb f xs <==> (exists (x: a). f x = true /\ FStar.List.Tot.Base.memP x xs))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.memP_existsb", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec memP_existsb #a f xs =
match xs with | [] -> () | hd :: tl -> memP_existsb f tl
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.memP_map_elim
val memP_map_elim (#a #b: Type) (f: (a -> Tot b)) (y: b) (l: list a) : Lemma (requires True) (ensures (memP y (map f l) ==> (exists (x: a). memP x l /\ f x == y))) (decreases l)
val memP_map_elim (#a #b: Type) (f: (a -> Tot b)) (y: b) (l: list a) : Lemma (requires True) (ensures (memP y (map f l) ==> (exists (x: a). memP x l /\ f x == y))) (decreases l)
let rec memP_map_elim (#a #b: Type) (f: a -> Tot b) (y: b) (l: list a) : Lemma (requires True) (ensures (memP y (map f l) ==> (exists (x : a) . memP x l /\ f x == y))) (decreases l) = match l with | [] -> () | _ :: q -> memP_map_elim f y q
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 33, "end_line": 92, "start_col": 0, "start_line": 81 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> b) -> y: b -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.memP y (FStar.List.Tot.Base.map f l) ==> (exists (x: a). FStar.List.Tot.Base.memP x l /\ f x == y)) (decreases l)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.memP_map_elim", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_imp", "FStar.List.Tot.Base.memP", "FStar.List.Tot.Base.map", "Prims.l_Exists", "Prims.l_and", "Prims.eq2", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec memP_map_elim (#a #b: Type) (f: (a -> Tot b)) (y: b) (l: list a) : Lemma (requires True) (ensures (memP y (map f l) ==> (exists (x: a). memP x l /\ f x == y))) (decreases l) =
match l with | [] -> () | _ :: q -> memP_map_elim f y q
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_index_memP
val lemma_index_memP (#t: Type) (l: list t) (i: nat{i < length l}) : Lemma (ensures ((index l i) `memP` l)) [SMTPat ((index l i) `memP` l)]
val lemma_index_memP (#t: Type) (l: list t) (i: nat{i < length l}) : Lemma (ensures ((index l i) `memP` l)) [SMTPat ((index l i) `memP` l)]
let rec lemma_index_memP (#t:Type) (l:list t) (i:nat{i < length l}) : Lemma (ensures (index l i `memP` l)) [SMTPat (index l i `memP` l)] = match i with | 0 -> () | _ -> lemma_index_memP (tl l) (i - 1)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 40, "end_line": 51, "start_col": 0, "start_line": 45 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list t -> i: Prims.nat{i < FStar.List.Tot.Base.length l} -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.memP (FStar.List.Tot.Base.index l i) l) [SMTPat (FStar.List.Tot.Base.memP (FStar.List.Tot.Base.index l i) l)]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.List.Tot.Base.length", "Prims.int", "FStar.List.Tot.Properties.lemma_index_memP", "FStar.List.Tot.Base.tl", "Prims.op_Subtraction", "Prims.unit", "Prims.l_True", "Prims.squash", "FStar.List.Tot.Base.memP", "FStar.List.Tot....
[ "recursion" ]
false
false
true
false
false
let rec lemma_index_memP (#t: Type) (l: list t) (i: nat{i < length l}) : Lemma (ensures ((index l i) `memP` l)) [SMTPat ((index l i) `memP` l)] =
match i with | 0 -> () | _ -> lemma_index_memP (tl l) (i - 1)
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.block_len
val block_len (a: alg) : U32.t
val block_len (a: alg) : U32.t
let block_len (a : alg) : U32.t = Core.size_block a
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 51, "end_line": 235, "start_col": 0, "start_line": 235 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> FStar.UInt32.t
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Impl.Blake2.Core.size_block", "FStar.UInt32.t" ]
[]
false
false
false
true
false
let block_len (a: alg) : U32.t =
Core.size_block a
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_acc_memP
val rev_acc_memP : #a:Type -> l:list a -> acc:list a -> x:a -> Lemma (requires True) (ensures (memP x (rev_acc l acc) <==> (memP x l \/ memP x acc)))
val rev_acc_memP : #a:Type -> l:list a -> acc:list a -> x:a -> Lemma (requires True) (ensures (memP x (rev_acc l acc) <==> (memP x l \/ memP x acc)))
let rec rev_acc_memP #a l acc x = match l with | [] -> () | hd::tl -> rev_acc_memP tl (hd::acc) x
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 43, "end_line": 138, "start_col": 0, "start_line": 136 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a -> acc: Prims.list a -> x: a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.memP x (FStar.List.Tot.Base.rev_acc l acc) <==> FStar.List.Tot.Base.memP x l \/ FStar.List.Tot.Base.memP x acc)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev_acc_memP", "Prims.Cons", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec rev_acc_memP #a l acc x =
match l with | [] -> () | hd :: tl -> rev_acc_memP tl (hd :: acc) x
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_length
val rev_length : l:list 'a -> Lemma (requires True) (ensures (length (rev l) = length l))
val rev_length : l:list 'a -> Lemma (requires True) (ensures (length (rev l) = length l))
let rev_length l = rev_acc_length l []
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 38, "end_line": 131, "start_col": 0, "start_line": 131 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.length (FStar.List.Tot.Base.rev l) = FStar.List.Tot.Base.length l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev_acc_length", "Prims.Nil", "Prims.unit" ]
[]
true
false
true
false
false
let rev_length l =
rev_acc_length l []
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_acc_length
val rev_acc_length : l:list 'a -> acc:list 'a -> Lemma (requires True) (ensures (length (rev_acc l acc) = length l + length acc))
val rev_acc_length : l:list 'a -> acc:list 'a -> Lemma (requires True) (ensures (length (rev_acc l acc) = length l + length acc))
let rec rev_acc_length l acc = match l with | [] -> () | hd::tl -> rev_acc_length tl (hd::acc)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 43, "end_line": 126, "start_col": 0, "start_line": 124 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> acc: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.length (FStar.List.Tot.Base.rev_acc l acc) = FStar.List.Tot.Base.length l + FStar.List.Tot.Base.length acc)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev_acc_length", "Prims.Cons", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec rev_acc_length l acc =
match l with | [] -> () | hd :: tl -> rev_acc_length tl (hd :: acc)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_memP
val rev_memP : #a:Type -> l:list a -> x:a -> Lemma (requires True) (ensures (memP x (rev l) <==> memP x l))
val rev_memP : #a:Type -> l:list a -> x:a -> Lemma (requires True) (ensures (memP x (rev l) <==> memP x l))
let rev_memP #a l x = rev_acc_memP l [] x
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 144, "start_col": 0, "start_line": 144 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a -> x: a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.memP x (FStar.List.Tot.Base.rev l) <==> FStar.List.Tot.Base.memP x l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev_acc_memP", "Prims.Nil", "Prims.unit" ]
[]
true
false
true
false
false
let rev_memP #a l x =
rev_acc_memP l [] x
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_mem
val rev_mem : #a:eqtype -> l:list a -> x:a -> Lemma (requires True) (ensures (mem x (rev l) <==> mem x l))
val rev_mem : #a:eqtype -> l:list a -> x:a -> Lemma (requires True) (ensures (mem x (rev l) <==> mem x l))
let rev_mem l x = rev_memP l x
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 149, "start_col": 0, "start_line": 149 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a -> x: a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.mem x (FStar.List.Tot.Base.rev l) <==> FStar.List.Tot.Base.mem x l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.rev_memP", "Prims.unit" ]
[]
true
false
true
false
false
let rev_mem l x =
rev_memP l x
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.mem_count
val mem_count (#a: eqtype) (l: list a) (x: a) : Lemma (mem x l <==> count x l > 0)
val mem_count (#a: eqtype) (l: list a) (x: a) : Lemma (mem x l <==> count x l > 0)
let rec mem_count (#a: eqtype) (l: list a) (x: a) : Lemma (mem x l <==> count x l > 0) = match l with | [] -> () | x' :: l' -> mem_count l' x
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 117, "start_col": 0, "start_line": 109 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a -> x: a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.mem x l <==> FStar.List.Tot.Base.count x l > 0)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.mem_count", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_iff", "Prims.b2t", "FStar.List.Tot.Base.mem", "Prims.op_GreaterThan", "FStar.List.Tot.Base.count", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec mem_count (#a: eqtype) (l: list a) (x: a) : Lemma (mem x l <==> count x l > 0) =
match l with | [] -> () | x' :: l' -> mem_count l' x
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_l_cons
val append_l_cons: hd:'a -> tl:list 'a -> l:list 'a -> Lemma (requires True) (ensures ((l@(hd::tl)) == ((l@[hd])@tl)))
val append_l_cons: hd:'a -> tl:list 'a -> l:list 'a -> Lemma (requires True) (ensures ((l@(hd::tl)) == ((l@[hd])@tl)))
let rec append_l_cons hd tl l = match l with | [] -> () | hd'::tl' -> append_l_cons hd tl tl'
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 175, "start_col": 0, "start_line": 173 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
hd: 'a -> tl: Prims.list 'a -> l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures l @ hd :: tl == (l @ [hd]) @ tl)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_l_cons", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_l_cons hd tl l =
match l with | [] -> () | hd' :: tl' -> append_l_cons hd tl tl'
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_assoc
val append_assoc: l1:list 'a -> l2:list 'a -> l3:list 'a -> Lemma (requires True) (ensures ((l1@(l2@l3)) == ((l1@l2)@l3)))
val append_assoc: l1:list 'a -> l2:list 'a -> l3:list 'a -> Lemma (requires True) (ensures ((l1@(l2@l3)) == ((l1@l2)@l3)))
let rec append_assoc l1 l2 l3 = match l1 with | [] -> () | hd::tl -> append_assoc tl l2 l3
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 37, "end_line": 182, "start_col": 0, "start_line": 180 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list 'a -> l2: Prims.list 'a -> l3: Prims.list 'a -> FStar.Pervasives.Lemma (ensures l1 @ l2 @ l3 == (l1 @ l2) @ l3)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_assoc", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_assoc l1 l2 l3 =
match l1 with | [] -> () | hd :: tl -> append_assoc tl l2 l3
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_length
val append_length: l1:list 'a -> l2:list 'a -> Lemma (requires True) (ensures (length (l1@l2) = length l1 + length l2)) [SMTPat (length (l1 @ l2))]
val append_length: l1:list 'a -> l2:list 'a -> Lemma (requires True) (ensures (length (l1@l2) = length l1 + length l2)) [SMTPat (length (l1 @ l2))]
let rec append_length l1 l2 = match l1 with | [] -> () | hd::tl -> append_length tl l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 33, "end_line": 189, "start_col": 0, "start_line": 187 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list 'a -> l2: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.length (l1 @ l2) = FStar.List.Tot.Base.length l1 + FStar.List.Tot.Base.length l2) [SMTPat (FStar.List.Tot.Base.length (l1 @ l2))]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_length", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_length l1 l2 =
match l1 with | [] -> () | hd :: tl -> append_length tl l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_l_nil
val append_l_nil: l:list 'a -> Lemma (requires True) (ensures (l@[] == l)) [SMTPat (l@[])]
val append_l_nil: l:list 'a -> Lemma (requires True) (ensures (l@[] == l)) [SMTPat (l@[])]
let rec append_l_nil = function | [] -> () | hd::tl -> append_l_nil tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 29, "end_line": 163, "start_col": 0, "start_line": 161 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures l @ [] == l) [SMTPat (l @ [])]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_l_nil", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_l_nil =
function | [] -> () | hd :: tl -> append_l_nil tl
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_mem
val append_mem: #t:eqtype -> l1:list t -> l2:list t -> a:t -> Lemma (requires True) (ensures (mem a (l1@l2) = (mem a l1 || mem a l2)))
val append_mem: #t:eqtype -> l1:list t -> l2:list t -> a:t -> Lemma (requires True) (ensures (mem a (l1@l2) = (mem a l1 || mem a l2)))
let rec append_mem #t l1 l2 a = match l1 with | [] -> () | hd::tl -> append_mem tl l2 a
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 32, "end_line": 199, "start_col": 0, "start_line": 197 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list t -> l2: Prims.list t -> a: t -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.mem a (l1 @ l2) = (FStar.List.Tot.Base.mem a l1 || FStar.List.Tot.Base.mem a l2))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.append_mem", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_mem #t l1 l2 a =
match l1 with | [] -> () | hd :: tl -> append_mem tl l2 a
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_mem_forall
val append_mem_forall: #a:eqtype -> l1:list a -> l2:list a -> Lemma (requires True) (ensures (forall a. mem a (l1@l2) = (mem a l1 || mem a l2)))
val append_mem_forall: #a:eqtype -> l1:list a -> l2:list a -> Lemma (requires True) (ensures (forall a. mem a (l1@l2) = (mem a l1 || mem a l2)))
let rec append_mem_forall #a l1 l2 = match l1 with | [] -> () | hd::tl -> append_mem_forall tl l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 37, "end_line": 218, "start_col": 0, "start_line": 216 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (ensures forall (a: a). FStar.List.Tot.Base.mem a (l1 @ l2) = (FStar.List.Tot.Base.mem a l1 || FStar.List.Tot.Base.mem a l2))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.append_mem_forall", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_mem_forall #a l1 l2 =
match l1 with | [] -> () | hd :: tl -> append_mem_forall tl l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_memP_forall
val append_memP_forall: #a:Type -> l1:list a -> l2:list a -> Lemma (requires True) (ensures (forall a. memP a (l1 `append` l2) <==> (memP a l1 \/ memP a l2)))
val append_memP_forall: #a:Type -> l1:list a -> l2:list a -> Lemma (requires True) (ensures (forall a. memP a (l1 `append` l2) <==> (memP a l1 \/ memP a l2)))
let rec append_memP_forall #a l1 l2 = match l1 with | [] -> () | hd::tl -> append_memP_forall tl l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 38, "end_line": 226, "start_col": 0, "start_line": 224 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (ensures forall (a: a). FStar.List.Tot.Base.memP a (l1 @ l2) <==> FStar.List.Tot.Base.memP a l1 \/ FStar.List.Tot.Base.memP a l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_memP_forall", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_memP_forall #a l1 l2 =
match l1 with | [] -> () | hd :: tl -> append_memP_forall tl l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev'T
val rev'T : _: Prims.list _ -> Prims.list _
let rev'T = rev'
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 16, "end_line": 339, "start_col": 0, "start_line": 339 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
_: Prims.list _ -> Prims.list _
Prims.Tot
[ "total" ]
[]
[ "FStar.List.Tot.Properties.rev'", "Prims.list" ]
[]
false
false
false
true
false
let rev'T =
rev'
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_memP
val append_memP: #t:Type -> l1:list t -> l2:list t -> a:t -> Lemma (requires True) (ensures (memP a (l1 `append` l2) <==> (memP a l1 \/ memP a l2)))
val append_memP: #t:Type -> l1:list t -> l2:list t -> a:t -> Lemma (requires True) (ensures (memP a (l1 `append` l2) <==> (memP a l1 \/ memP a l2)))
let rec append_memP #t l1 l2 a = match l1 with | [] -> () | hd::tl -> append_memP tl l2 a
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 33, "end_line": 209, "start_col": 0, "start_line": 207 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list t -> l2: Prims.list t -> a: t -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.memP a (l1 @ l2) <==> FStar.List.Tot.Base.memP a l1 \/ FStar.List.Tot.Base.memP a l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_memP", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_memP #t l1 l2 a =
match l1 with | [] -> () | hd :: tl -> append_memP tl l2 a
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_count_forall
val append_count_forall: #a:eqtype -> l1:list a -> l2:list a -> Lemma (requires True) (ensures (forall a. count a (l1@l2) = (count a l1 + count a l2)))
val append_count_forall: #a:eqtype -> l1:list a -> l2:list a -> Lemma (requires True) (ensures (forall a. count a (l1@l2) = (count a l1 + count a l2)))
let rec append_count_forall #a l1 l2 = match l1 with | [] -> () | hd::tl -> append_count_forall tl l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 245, "start_col": 0, "start_line": 243 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (ensures forall (a: a). FStar.List.Tot.Base.count a (l1 @ l2) = FStar.List.Tot.Base.count a l1 + FStar.List.Tot.Base.count a l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.append_count_forall", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_count_forall #a l1 l2 =
match l1 with | [] -> () | hd :: tl -> append_count_forall tl l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_count
val append_count: #t:eqtype -> l1:list t -> l2:list t -> a:t -> Lemma (requires True) (ensures (count a (l1@l2) = (count a l1 + count a l2)))
val append_count: #t:eqtype -> l1:list t -> l2:list t -> a:t -> Lemma (requires True) (ensures (count a (l1@l2) = (count a l1 + count a l2)))
let rec append_count #t l1 l2 a = match l1 with | [] -> () | hd::tl -> append_count tl l2 a
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 34, "end_line": 236, "start_col": 0, "start_line": 234 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list t -> l2: Prims.list t -> a: t -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.count a (l1 @ l2) = FStar.List.Tot.Base.count a l1 + FStar.List.Tot.Base.count a l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.append_count", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_count #t l1 l2 a =
match l1 with | [] -> () | hd :: tl -> append_count tl l2 a
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_length_inv_tail
val append_length_inv_tail (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length right1 == length right2)) (ensures (left1 == left2 /\ right1 == right2))
val append_length_inv_tail (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length right1 == length right2)) (ensures (left1 == left2 /\ right1 == right2))
let append_length_inv_tail (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length right1 == length right2)) (ensures (left1 == left2 /\ right1 == right2)) = append_length left1 right1; append_length left2 right2; append_length_inv_head left1 ri...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 50, "end_line": 303, "start_col": 0, "start_line": 295 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
left1: Prims.list a -> right1: Prims.list a -> left2: Prims.list a -> right2: Prims.list a -> FStar.Pervasives.Lemma (requires left1 @ right1 == left2 @ right2 /\ FStar.List.Tot.Base.length right1 == FStar.List.Tot.Base.length right2) (ensures left1 == left2 /\ right1 == right2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_length_inv_head", "Prims.unit", "FStar.List.Tot.Properties.append_length", "Prims.l_and", "Prims.eq2", "FStar.List.Tot.Base.append", "Prims.nat", "FStar.List.Tot.Base.length", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let append_length_inv_tail (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length right1 == length right2)) (ensures (left1 == left2 /\ right1 == right2)) =
append_length left1 right1; append_length left2 right2; append_length_inv_head left1 right1 left2 right2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_inv_tail
val append_inv_tail: l:list 'a -> l1:list 'a -> l2:list 'a -> Lemma (requires ((l1@l) == (l2@l))) (ensures (l1 == l2))
val append_inv_tail: l:list 'a -> l1:list 'a -> l2:list 'a -> Lemma (requires ((l1@l) == (l2@l))) (ensures (l1 == l2))
let rec append_inv_tail l l1 l2 = match l1, l2 with | [], [] -> () | hd1::tl1, hd2::tl2 -> append_inv_tail l tl1 tl2 | [], hd2::tl2 -> (match l with | [] -> () | hd::tl -> append_l_cons hd tl tl2; append_inv_tail tl [] (tl2@[hd]) (* We can here apply the induction hypothesi...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 8, "end_line": 281, "start_col": 0, "start_line": 267 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> l1: Prims.list 'a -> l2: Prims.list 'a -> FStar.Pervasives.Lemma (requires l1 @ l == l2 @ l) (ensures l1 == l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.Pervasives.Native.Mktuple2", "FStar.List.Tot.Properties.append_inv_tail", "Prims.Nil", "FStar.List.Tot.Base.op_At", "Prims.Cons", "Prims.unit", "FStar.List.Tot.Properties.append_l_cons" ]
[ "recursion" ]
false
false
true
false
false
let rec append_inv_tail l l1 l2 =
match l1, l2 with | [], [] -> () | hd1 :: tl1, hd2 :: tl2 -> append_inv_tail l tl1 tl2 | [], hd2 :: tl2 -> (match l with | [] -> () | hd :: tl -> append_l_cons hd tl tl2; append_inv_tail tl [] (tl2 @ [hd])) | hd1 :: tl1, [] -> (match l with | [] -> () | hd :: tl -> append_l_cons hd...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_length_inv_head
val append_length_inv_head (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length left1 == length left2)) (ensures (left1 == left2 /\ right1 == right2)) (decreases left1)
val append_length_inv_head (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length left1 == length left2)) (ensures (left1 == left2 /\ right1 == right2)) (decreases left1)
let rec append_length_inv_head (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length left1 == length left2)) (ensures (left1 == left2 /\ right1 == right2)) (decreases left1) = match left1 with | [] -> () | _ :: left1' -> append_length_in...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 58, "end_line": 293, "start_col": 0, "start_line": 283 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
left1: Prims.list a -> right1: Prims.list a -> left2: Prims.list a -> right2: Prims.list a -> FStar.Pervasives.Lemma (requires left1 @ right1 == left2 @ right2 /\ FStar.List.Tot.Base.length left1 == FStar.List.Tot.Base.length left2) (ensures left1 == left2 /\ right1 == right2) (decre...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_length_inv_head", "FStar.List.Tot.Base.tl", "Prims.unit", "Prims.l_and", "Prims.eq2", "FStar.List.Tot.Base.append", "Prims.nat", "FStar.List.Tot.Base.length", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec append_length_inv_head (#a: Type) (left1 right1 left2 right2: list a) : Lemma (requires (append left1 right1 == append left2 right2 /\ length left1 == length left2)) (ensures (left1 == left2 /\ right1 == right2)) (decreases left1) =
match left1 with | [] -> () | _ :: left1' -> append_length_inv_head left1' right1 (tl left2) right2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_inv_head
val append_inv_head: l:list 'a -> l1:list 'a -> l2:list 'a -> Lemma (requires ((l@l1) == (l@l2))) (ensures (l1 == l2))
val append_inv_head: l:list 'a -> l1:list 'a -> l2:list 'a -> Lemma (requires ((l@l1) == (l@l2))) (ensures (l1 == l2))
let rec append_inv_head l l1 l2 = match l with | [] -> () | hd::tl -> append_inv_head tl l1 l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 40, "end_line": 262, "start_col": 0, "start_line": 260 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> l1: Prims.list 'a -> l2: Prims.list 'a -> FStar.Pervasives.Lemma (requires l @ l1 == l @ l2) (ensures l1 == l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_inv_head", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_inv_head l l1 l2 =
match l with | [] -> () | hd :: tl -> append_inv_head tl l1 l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev'
val rev': list 'a -> Tot (list 'a)
val rev': list 'a -> Tot (list 'a)
let rec rev' = function | [] -> [] | hd::tl -> (rev' tl)@[hd]
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 28, "end_line": 338, "start_col": 0, "start_line": 336 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
_: Prims.list 'a -> Prims.list 'a
Prims.Tot
[ "total" ]
[]
[ "Prims.list", "Prims.Nil", "FStar.List.Tot.Base.op_At", "FStar.List.Tot.Properties.rev'", "Prims.Cons" ]
[ "recursion" ]
false
false
false
true
false
let rec rev' =
function | [] -> [] | hd :: tl -> (rev' tl) @ [hd]
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_injective
val append_injective (#a: _) (l0 l0' l1 l1': list a) : Lemma (ensures (length l0 == length l0' \/ length l1 == length l1') /\ append l0 l1 == append l0' l1' ==> l0 == l0' /\ l1 == l1')
val append_injective (#a: _) (l0 l0' l1 l1': list a) : Lemma (ensures (length l0 == length l0' \/ length l1 == length l1') /\ append l0 l1 == append l0' l1' ==> l0 == l0' /\ l1 == l1')
let append_injective #a (l0 l0':list a) (l1 l1':list a) : Lemma (ensures (length l0 == length l0' \/ length l1 == length l1') /\ append l0 l1 == append l0' l1' ==> l0 == l0' /\ l1 == l1') = introduce ((length l0 == length l0' \/ length l1 == length l1') /\ ...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 49, "end_line": 321, "start_col": 0, "start_line": 305 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l0: Prims.list a -> l0': Prims.list a -> l1: Prims.list a -> l1': Prims.list a -> FStar.Pervasives.Lemma (ensures (FStar.List.Tot.Base.length l0 == FStar.List.Tot.Base.length l0' \/ FStar.List.Tot.Base.length l1 == FStar.List.Tot.Base.length l1') /\ l0 @ l1 == l0' @ l1' ==> l0 == l0' /\ l1 == ...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.Classical.Sugar.implies_intro", "Prims.l_and", "Prims.l_or", "Prims.eq2", "Prims.nat", "FStar.List.Tot.Base.length", "FStar.List.Tot.Base.append", "Prims.squash", "FStar.Classical.Sugar.or_elim", "Prims.l_not", "FStar.List.Tot.Properties.append_length_inv_head", "FStar.L...
[]
false
false
true
false
false
let append_injective #a (l0: list a) (l0': list a) (l1: list a) (l1': list a) : Lemma (ensures (length l0 == length l0' \/ length l1 == length l1') /\ append l0 l1 == append l0' l1' ==> l0 == l0' /\ l1 == l1') =
introduce ((length l0 == length l0' \/ length l1 == length l1') /\ append l0 l1 == append l0' l1') ==> ( l0 == l0' /\ l1 == l1') with _. eliminate (length l0 == length l0') \/ (length l1 == length l1') returns _ with _ . append_length_inv_head l0 l1 l0' l1' and _ . append_length_inv_tail l0 l1 l0' l1'
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_rev'
val rev_rev': l:list 'a -> Lemma (requires True) (ensures ((rev l) == (rev' l)))
val rev_rev': l:list 'a -> Lemma (requires True) (ensures ((rev l) == (rev' l)))
let rev_rev' l = rev_acc_rev' l []; append_l_nil (rev' l)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 57, "end_line": 351, "start_col": 0, "start_line": 351 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.rev l == FStar.List.Tot.Properties.rev' l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_l_nil", "FStar.List.Tot.Properties.rev'", "Prims.unit", "FStar.List.Tot.Properties.rev_acc_rev'", "Prims.Nil" ]
[]
true
false
true
false
false
let rev_rev' l =
rev_acc_rev' l []; append_l_nil (rev' l)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_acc_rev'
val rev_acc_rev': l:list 'a -> acc:list 'a -> Lemma (requires (True)) (ensures ((rev_acc l acc) == ((rev' l)@acc)))
val rev_acc_rev': l:list 'a -> acc:list 'a -> Lemma (requires (True)) (ensures ((rev_acc l acc) == ((rev' l)@acc)))
let rec rev_acc_rev' l acc = match l with | [] -> () | hd::tl -> rev_acc_rev' tl (hd::acc); append_l_cons hd acc (rev' tl)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 73, "end_line": 346, "start_col": 0, "start_line": 344 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> acc: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.rev_acc l acc == FStar.List.Tot.Properties.rev' l @ acc)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_l_cons", "FStar.List.Tot.Properties.rev'", "Prims.unit", "FStar.List.Tot.Properties.rev_acc_rev'", "Prims.Cons" ]
[ "recursion" ]
false
false
true
false
false
let rec rev_acc_rev' l acc =
match l with | [] -> () | hd :: tl -> rev_acc_rev' tl (hd :: acc); append_l_cons hd acc (rev' tl)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev'_involutive
val rev'_involutive : l:list 'a -> Lemma (requires True) (ensures (rev' (rev' l) == l))
val rev'_involutive : l:list 'a -> Lemma (requires True) (ensures (rev' (rev' l) == l))
let rec rev'_involutive = function | [] -> () | hd::tl -> rev'_append (rev' tl) [hd]; rev'_involutive tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 60, "end_line": 370, "start_col": 0, "start_line": 368 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Properties.rev' (FStar.List.Tot.Properties.rev' l) == l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev'_involutive", "Prims.unit", "FStar.List.Tot.Properties.rev'_append", "FStar.List.Tot.Properties.rev'", "Prims.Cons", "Prims.Nil" ]
[ "recursion" ]
false
false
true
false
false
let rec rev'_involutive =
function | [] -> () | hd :: tl -> rev'_append (rev' tl) [hd]; rev'_involutive tl
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_snoc_length
val lemma_snoc_length : (lx:(list 'a * 'a)) -> Lemma (requires True) (ensures (length (snoc lx) = length (fst lx) + 1))
val lemma_snoc_length : (lx:(list 'a * 'a)) -> Lemma (requires True) (ensures (length (snoc lx) = length (fst lx) + 1))
let lemma_snoc_length (l, x) = append_length l [x]
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 50, "end_line": 382, "start_col": 0, "start_line": 382 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
lx: (Prims.list 'a * 'a) -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.length (FStar.List.Tot.Base.snoc lx) = FStar.List.Tot.Base.length (FStar.Pervasives.Native.fst lx) + 1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Pervasives.Native.tuple2", "Prims.list", "FStar.List.Tot.Properties.append_length", "Prims.Cons", "Prims.Nil", "Prims.unit" ]
[]
false
false
true
false
false
let lemma_snoc_length (l, x) =
append_length l [x]
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev'_list_ind
val rev'_list_ind: p:(list 'a -> Tot bool) -> l:list 'a -> Lemma (requires ((p []) /\ (forall hd tl. p (rev' tl) ==> p (rev' (hd::tl))))) (ensures (p (rev' l)))
val rev'_list_ind: p:(list 'a -> Tot bool) -> l:list 'a -> Lemma (requires ((p []) /\ (forall hd tl. p (rev' tl) ==> p (rev' (hd::tl))))) (ensures (p (rev' l)))
let rec rev'_list_ind p = function | [] -> () | hd::tl -> rev'_list_ind p tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 32, "end_line": 391, "start_col": 0, "start_line": 389 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
p: (_: Prims.list 'a -> Prims.bool) -> l: Prims.list 'a -> FStar.Pervasives.Lemma (requires p [] /\ (forall (hd: 'a) (tl: Prims.list 'a). p (FStar.List.Tot.Properties.rev' tl) ==> p (FStar.List.Tot.Properties.rev' (hd :: tl))) ) (ensures p (FStar.List.Tot.Properties.rev' l))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.bool", "FStar.List.Tot.Properties.rev'_list_ind", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec rev'_list_ind p =
function | [] -> () | hd :: tl -> rev'_list_ind p tl
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_involutive
val rev_involutive : l:list 'a -> Lemma (requires True) (ensures (rev (rev l) == l))
val rev_involutive : l:list 'a -> Lemma (requires True) (ensures (rev (rev l) == l))
let rev_involutive l = rev_rev' l; rev_rev' (rev' l); rev'_involutive l
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 71, "end_line": 375, "start_col": 0, "start_line": 375 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.rev (FStar.List.Tot.Base.rev l) == l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev'_involutive", "Prims.unit", "FStar.List.Tot.Properties.rev_rev'", "FStar.List.Tot.Properties.rev'" ]
[]
true
false
true
false
false
let rev_involutive l =
rev_rev' l; rev_rev' (rev' l); rev'_involutive l
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev'_append
val rev'_append: l1:list 'a -> l2:list 'a -> Lemma (requires True) (ensures ((rev' (l1@l2)) == ((rev' l2)@(rev' l1))))
val rev'_append: l1:list 'a -> l2:list 'a -> Lemma (requires True) (ensures ((rev' (l1@l2)) == ((rev' l2)@(rev' l1))))
let rec rev'_append l1 l2 = match l1 with | [] -> append_l_nil (rev' l2) | hd::tl -> rev'_append tl l2; append_assoc (rev' l2) (rev' tl) [hd]
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 72, "end_line": 358, "start_col": 0, "start_line": 356 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list 'a -> l2: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Properties.rev' (l1 @ l2) == FStar.List.Tot.Properties.rev' l2 @ FStar.List.Tot.Properties.rev' l1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_l_nil", "FStar.List.Tot.Properties.rev'", "FStar.List.Tot.Properties.append_assoc", "Prims.Cons", "Prims.Nil", "Prims.unit", "FStar.List.Tot.Properties.rev'_append" ]
[ "recursion" ]
false
false
true
false
false
let rec rev'_append l1 l2 =
match l1 with | [] -> append_l_nil (rev' l2) | hd :: tl -> rev'_append tl l2; append_assoc (rev' l2) (rev' tl) [hd]
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_append
val rev_append: l1:list 'a -> l2:list 'a -> Lemma (requires True) (ensures ((rev (l1@l2)) == ((rev l2)@(rev l1))))
val rev_append: l1:list 'a -> l2:list 'a -> Lemma (requires True) (ensures ((rev (l1@l2)) == ((rev l2)@(rev l1))))
let rev_append l1 l2 = rev_rev' l1; rev_rev' l2; rev_rev' (l1@l2); rev'_append l1 l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 84, "end_line": 363, "start_col": 0, "start_line": 363 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list 'a -> l2: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.rev (l1 @ l2) == FStar.List.Tot.Base.rev l2 @ FStar.List.Tot.Base.rev l1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.rev'_append", "Prims.unit", "FStar.List.Tot.Properties.rev_rev'", "FStar.List.Tot.Base.op_At" ]
[]
true
false
true
false
false
let rev_append l1 l2 =
rev_rev' l1; rev_rev' l2; rev_rev' (l1 @ l2); rev'_append l1 l2
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.buffer_to_stateful_key_t
val buffer_to_stateful_key_t (a: alg) (kk: key_size a {kk > 0}) (k: B.buffer uint8 {B.length k == kk}) : Tot (stateful_key_t a kk)
val buffer_to_stateful_key_t (a: alg) (kk: key_size a {kk > 0}) (k: B.buffer uint8 {B.length k == kk}) : Tot (stateful_key_t a kk)
let buffer_to_stateful_key_t (a : alg) (kk : key_size a{kk > 0}) (k : B.buffer uint8 { B.length k == kk }) : Tot (stateful_key_t a kk) = k
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 155, "start_col": 0, "start_line": 152 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> kk: Hacl.Streaming.Blake2.Common.key_size a {kk > 0} -> k: LowStar.Buffer.buffer Hacl.Streaming.Blake2.Common.uint8 {LowStar.Monotonic.Buffer.length k == kk} -> Hacl.Streaming.Blake2.Common.stateful_key_t a kk
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Streaming.Blake2.Common.key_size", "Prims.b2t", "Prims.op_GreaterThan", "LowStar.Buffer.buffer", "Hacl.Streaming.Blake2.Common.uint8", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "LowStar.Buffer.trivial_preorder", "Hacl.Streaming.Blake2....
[]
false
false
false
false
false
let buffer_to_stateful_key_t (a: alg) (kk: key_size a {kk > 0}) (k: B.buffer uint8 {B.length k == kk}) : Tot (stateful_key_t a kk) =
k
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_append_last
val lemma_append_last (#a: Type) (l1 l2: list a) : Lemma (requires (length l2 > 0)) (ensures (last (l1 @ l2) == last l2))
val lemma_append_last (#a: Type) (l1 l2: list a) : Lemma (requires (length l2 > 0)) (ensures (last (l1 @ l2) == last l2))
let rec lemma_append_last (#a:Type) (l1 l2:list a) : Lemma (requires (length l2 > 0)) (ensures (last (l1 @ l2) == last l2)) = match l1 with | [] -> () | _ :: l1' -> lemma_append_last l1' l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 40, "end_line": 331, "start_col": 0, "start_line": 325 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.length l2 > 0) (ensures FStar.List.Tot.Base.last (l1 @ l2) == FStar.List.Tot.Base.last l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.lemma_append_last", "Prims.unit", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "Prims.squash", "Prims.eq2", "FStar.List.Tot.Base.last", "FStar.List.Tot.Base.op_At", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_append_last (#a: Type) (l1 l2: list a) : Lemma (requires (length l2 > 0)) (ensures (last (l1 @ l2) == last l2)) =
match l1 with | [] -> () | _ :: l1' -> lemma_append_last l1' l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.rev_ind
val rev_ind: p:(list 'a -> Tot bool) -> l:list 'a -> Lemma (requires ((p []) /\ (forall hd tl. p hd ==> p (hd@[tl])))) (ensures (p l))
val rev_ind: p:(list 'a -> Tot bool) -> l:list 'a -> Lemma (requires ((p []) /\ (forall hd tl. p hd ==> p (hd@[tl])))) (ensures (p l))
let rev_ind p l = rev'_involutive l; rev'_list_ind p (rev' l)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 61, "end_line": 396, "start_col": 0, "start_line": 396 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
p: (_: Prims.list 'a -> Prims.bool) -> l: Prims.list 'a -> FStar.Pervasives.Lemma (requires p [] /\ (forall (hd: Prims.list 'a) (tl: 'a). p hd ==> p (hd @ [tl]))) (ensures p l)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.bool", "FStar.List.Tot.Properties.rev'_list_ind", "FStar.List.Tot.Properties.rev'", "Prims.unit", "FStar.List.Tot.Properties.rev'_involutive" ]
[]
true
false
true
false
false
let rev_ind p l =
rev'_involutive l; rev'_list_ind p (rev' l)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.subset_reflexive
val subset_reflexive (#a: eqtype) (l: list a) : Lemma (subset l l) [SMTPat (subset l l)]
val subset_reflexive (#a: eqtype) (l: list a) : Lemma (subset l l) [SMTPat (subset l l)]
let subset_reflexive (#a: eqtype) (l: list a) : Lemma (subset l l) [SMTPat (subset l l)] = mem_subset l l
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 63, "end_line": 605, "start_col": 0, "start_line": 604 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.subset l l) [SMTPat (FStar.List.Tot.Base.subset l l)]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.mem_subset", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.b2t", "FStar.List.Tot.Base.subset", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.bool", "Prims.Nil" ]
[]
true
false
true
false
false
let subset_reflexive (#a: eqtype) (l: list a) : Lemma (subset l l) [SMTPat (subset l l)] =
mem_subset l l
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.split_using
val split_using (#t: Type) (l: list t) (x: t{x `memP` l}) : GTot (list t * list t)
val split_using (#t: Type) (l: list t) (x: t{x `memP` l}) : GTot (list t * list t)
let rec split_using (#t:Type) (l:list t) (x:t{x `memP` l}) : GTot (list t * list t) = match l with | [_] -> [], l | a :: rest -> if FStar.StrongExcludedMiddle.strong_excluded_middle (a == x) then ( [], l ) else ( let l1', l2' = split_using rest x in a :: l1', l2' )
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 496, "start_col": 0, "start_line": 486 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list t -> x: t{FStar.List.Tot.Base.memP x l} -> Prims.GTot (Prims.list t * Prims.list t)
Prims.GTot
[ "sometrivial" ]
[]
[ "Prims.list", "FStar.List.Tot.Base.memP", "FStar.Pervasives.Native.Mktuple2", "Prims.Nil", "FStar.StrongExcludedMiddle.strong_excluded_middle", "Prims.eq2", "Prims.bool", "Prims.Cons", "FStar.Pervasives.Native.tuple2", "FStar.List.Tot.Properties.split_using" ]
[ "recursion" ]
false
false
false
false
false
let rec split_using (#t: Type) (l: list t) (x: t{x `memP` l}) : GTot (list t * list t) =
match l with | [_] -> [], l | a :: rest -> if FStar.StrongExcludedMiddle.strong_excluded_middle (a == x) then ([], l) else (let l1', l2' = split_using rest x in a :: l1', l2')
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_unsnoc_length
val lemma_unsnoc_length: #a:Type -> l:list a{length l > 0} -> Lemma (requires True) (ensures (length (fst (unsnoc l)) == length l - 1))
val lemma_unsnoc_length: #a:Type -> l:list a{length l > 0} -> Lemma (requires True) (ensures (length (fst (unsnoc l)) == length l - 1))
let lemma_unsnoc_length #a l = lemma_snoc_length (unsnoc l)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 445, "start_col": 0, "start_line": 444 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a {FStar.List.Tot.Base.length l > 0} -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.length (FStar.Pervasives.Native.fst (FStar.List.Tot.Base.unsnoc l)) == FStar.List.Tot.Base.length l - 1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "FStar.List.Tot.Properties.lemma_snoc_length", "FStar.List.Tot.Base.unsnoc", "Prims.unit" ]
[]
true
false
true
false
false
let lemma_unsnoc_length #a l =
lemma_snoc_length (unsnoc l)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.map_lemma
val map_lemma: f:('a -> Tot 'b) -> l:(list 'a) -> Lemma (requires True) (ensures (length (map f l)) = length l) [SMTPat (map f l)]
val map_lemma: f:('a -> Tot 'b) -> l:(list 'a) -> Lemma (requires True) (ensures (length (map f l)) = length l) [SMTPat (map f l)]
let rec map_lemma f l = match l with | [] -> () | h::t -> map_lemma f t
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 27, "end_line": 408, "start_col": 0, "start_line": 405 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: 'a -> 'b) -> l: Prims.list 'a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.length (FStar.List.Tot.Base.map f l) = FStar.List.Tot.Base.length l) [SMTPat (FStar.List.Tot.Base.map f l)]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.map_lemma", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec map_lemma f l =
match l with | [] -> () | h :: t -> map_lemma f t
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.partition_mem
val partition_mem: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> x:a -> Lemma (requires True) (ensures (let l1, l2 = partition f l in mem x l = (mem x l1 || mem x l2)))
val partition_mem: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> x:a -> Lemma (requires True) (ensures (let l1, l2 = partition f l in mem x l = (mem x l1 || mem x l2)))
let rec partition_mem #a f l x = match l with | [] -> () | hd::tl -> partition_mem f tl x
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 34, "end_line": 550, "start_col": 0, "start_line": 548 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> Prims.bool) -> l: Prims.list a -> x: a -> FStar.Pervasives.Lemma (ensures (let _ = FStar.List.Tot.Base.partition f l in (let FStar.Pervasives.Native.Mktuple2 #_ #_ l1 l2 = _ in FStar.List.Tot.Base.mem x l = (FStar.List.Tot.Base.mem x l1 || FStar.List.Tot.Base.mem x l2...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.partition_mem", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec partition_mem #a f l x =
match l with | [] -> () | hd :: tl -> partition_mem f tl x
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.output_size
val output_size (a: alg) : nat
val output_size (a: alg) : nat
let output_size (a : alg) : nat = Spec.max_output a
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 51, "end_line": 238, "start_col": 0, "start_line": 238 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Spec.Blake2.Definitions.max_output", "Prims.nat" ]
[]
false
false
false
true
false
let output_size (a: alg) : nat =
Spec.max_output a
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.partition_mem_p_forall
val partition_mem_p_forall: #a:eqtype -> p:(a -> Tot bool) -> l:list a -> Lemma (requires True) (ensures (let l1, l2 = partition p l in (forall x. mem x l1 ==> p x) /\ (forall x. mem x l2 ==> not (p x))))
val partition_mem_p_forall: #a:eqtype -> p:(a -> Tot bool) -> l:list a -> Lemma (requires True) (ensures (let l1, l2 = partition p l in (forall x. mem x l1 ==> p x) /\ (forall x. mem x l2 ==> not (p x))))
let rec partition_mem_p_forall #a p l = match l with | [] -> () | hd::tl -> partition_mem_p_forall p tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 571, "start_col": 0, "start_line": 569 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
p: (_: a -> Prims.bool) -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures (let _ = FStar.List.Tot.Base.partition p l in (let FStar.Pervasives.Native.Mktuple2 #_ #_ l1 l2 = _ in (forall (x: a). FStar.List.Tot.Base.mem x l1 ==> p x) /\ (forall (x: a). FStar.List.Tot.Base.mem x ...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.partition_mem_p_forall", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec partition_mem_p_forall #a p l =
match l with | [] -> () | hd :: tl -> partition_mem_p_forall p tl
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_snoc_unsnoc
val lemma_snoc_unsnoc: #a:Type -> lx:(list a * a) -> Lemma (requires True) (ensures (unsnoc (snoc lx) == lx)) (decreases (length (fst (lx)))) [SMTPat (unsnoc (snoc lx))]
val lemma_snoc_unsnoc: #a:Type -> lx:(list a * a) -> Lemma (requires True) (ensures (unsnoc (snoc lx) == lx)) (decreases (length (fst (lx)))) [SMTPat (unsnoc (snoc lx))]
let rec lemma_snoc_unsnoc #a lx = let l, x = lx in match l with | [] -> () | _ -> lemma_snoc_unsnoc (tl l, x)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 438, "start_col": 0, "start_line": 434 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
lx: (Prims.list a * a) -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.unsnoc (FStar.List.Tot.Base.snoc lx) == lx) (decreases FStar.List.Tot.Base.length (FStar.Pervasives.Native.fst lx)) [SMTPat (FStar.List.Tot.Base.unsnoc (FStar.List.Tot.Base.snoc lx))]
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "FStar.Pervasives.Native.tuple2", "Prims.list", "FStar.List.Tot.Properties.lemma_snoc_unsnoc", "FStar.Pervasives.Native.Mktuple2", "FStar.List.Tot.Base.tl", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_snoc_unsnoc #a lx =
let l, x = lx in match l with | [] -> () | _ -> lemma_snoc_unsnoc (tl l, x)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_unsnoc_is_last
val lemma_unsnoc_is_last (#t: Type) (l: list t) : Lemma (requires (length l > 0)) (ensures (snd (unsnoc l) == last l /\ snd (unsnoc l) == index l (length l - 1)))
val lemma_unsnoc_is_last (#t: Type) (l: list t) : Lemma (requires (length l > 0)) (ensures (snd (unsnoc l) == last l /\ snd (unsnoc l) == index l (length l - 1)))
let rec lemma_unsnoc_is_last (#t:Type) (l:list t) : Lemma (requires (length l > 0)) (ensures (snd (unsnoc l) == last l /\ snd (unsnoc l) == index l (length l - 1))) = match l with | [_] -> () | _ -> lemma_unsnoc_is_last (tl l)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 466, "start_col": 0, "start_line": 460 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list t -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.length l > 0) (ensures FStar.Pervasives.Native.snd (FStar.List.Tot.Base.unsnoc l) == FStar.List.Tot.Base.last l /\ FStar.Pervasives.Native.snd (FStar.List.Tot.Base.unsnoc l) == FStar.List.Tot.Base.index l (FStar.List...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.lemma_unsnoc_is_last", "FStar.List.Tot.Base.tl", "Prims.unit", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "Prims.squash", "Prims.l_and", "Prims.eq2", "FStar.Pervasives.Native.snd", "FStar.List.Tot.Base.unsnoc", "FStar.List.Tot....
[ "recursion" ]
false
false
true
false
false
let rec lemma_unsnoc_is_last (#t: Type) (l: list t) : Lemma (requires (length l > 0)) (ensures (snd (unsnoc l) == last l /\ snd (unsnoc l) == index l (length l - 1))) =
match l with | [_] -> () | _ -> lemma_unsnoc_is_last (tl l)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.partition_count
val partition_count: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> x:a -> Lemma (requires True) (ensures (count x l = (count x (fst (partition f l)) + count x (snd (partition f l)))))
val partition_count: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> x:a -> Lemma (requires True) (ensures (count x l = (count x (fst (partition f l)) + count x (snd (partition f l)))))
let rec partition_count #a f l x = match l with | [] -> () | hd::tl -> partition_count f tl x
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 583, "start_col": 0, "start_line": 581 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> Prims.bool) -> l: Prims.list a -> x: a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.count x l = FStar.List.Tot.Base.count x (FStar.Pervasives.Native.fst (FStar.List.Tot.Base.partition f l)) + FStar.List.Tot.Base.count x (FStar.Pervasives.Native.snd (FStar.List.Tot.Base.part...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.partition_count", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec partition_count #a f l x =
match l with | [] -> () | hd :: tl -> partition_count f tl x
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_unsnoc_append
val lemma_unsnoc_append (#a: Type) (l1 l2: list a) : Lemma (requires (length l2 > 0)) (ensures (let al, a = unsnoc (l1 @ l2) in let bl, b = unsnoc l2 in al == l1 @ bl /\ a == b))
val lemma_unsnoc_append (#a: Type) (l1 l2: list a) : Lemma (requires (length l2 > 0)) (ensures (let al, a = unsnoc (l1 @ l2) in let bl, b = unsnoc l2 in al == l1 @ bl /\ a == b))
let rec lemma_unsnoc_append (#a:Type) (l1 l2:list a) : Lemma (requires (length l2 > 0)) // the [length l2 = 0] is trivial (ensures ( let al, a = unsnoc (l1 @ l2) in let bl, b = unsnoc l2 in al == l1 @ bl /\ a == b)) = match l1 with | [] -> () | _ :: l1' -> lemma_unsnoc_append l1'...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 42, "end_line": 457, "start_col": 0, "start_line": 448 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.length l2 > 0) (ensures (let _ = FStar.List.Tot.Base.unsnoc (l1 @ l2) in (let FStar.Pervasives.Native.Mktuple2 #_ #_ al a = _ in let _ = FStar.List.Tot.Base.unsnoc l2 in (let FS...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.lemma_unsnoc_append", "Prims.unit", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "Prims.squash", "Prims.l_and", "Prims.eq2", "FStar.List.Tot.Base.op_At", "FStar.Pervasives.Native.tuple2", "FStar.List.Tot.Base.unsnoc", "Prims.Nil"...
[ "recursion" ]
false
false
true
false
false
let rec lemma_unsnoc_append (#a: Type) (l1 l2: list a) : Lemma (requires (length l2 > 0)) (ensures (let al, a = unsnoc (l1 @ l2) in let bl, b = unsnoc l2 in al == l1 @ bl /\ a == b)) =
match l1 with | [] -> () | _ :: l1' -> lemma_unsnoc_append l1' l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_unsnoc_snoc
val lemma_unsnoc_snoc: #a:Type -> l:list a{length l > 0} -> Lemma (requires True) (ensures (snoc (unsnoc l) == l)) [SMTPat (snoc (unsnoc l))]
val lemma_unsnoc_snoc: #a:Type -> l:list a{length l > 0} -> Lemma (requires True) (ensures (snoc (unsnoc l) == l)) [SMTPat (snoc (unsnoc l))]
let lemma_unsnoc_snoc #a l = let l', x = unsnoc l in let l1, l2 = l', [x] in lemma_splitAt_snd_length (length l - 1) l; // assert ((l1, l2) == splitAt (length l - 1) l); let rec aux (l:list a{length l > 0}) : Lemma (let l1, l2 = splitAt (length l - 1) l in append l1 l2 == l) = if length l =...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 7, "end_line": 426, "start_col": 0, "start_line": 417 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list a {FStar.List.Tot.Base.length l > 0} -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.snoc (FStar.List.Tot.Base.unsnoc l) == l) [SMTPat (FStar.List.Tot.Base.snoc (FStar.List.Tot.Base.unsnoc l))]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.List.Tot.Base.append", "FStar.Pervasives.Native.tuple2", "FStar.List.Tot.Base.splitAt", "Prims.op_Subtraction", "Prims.Nil", "FStar.Pervasives....
[]
false
false
true
false
false
let lemma_unsnoc_snoc #a l =
let l', x = unsnoc l in let l1, l2 = l', [x] in lemma_splitAt_snd_length (length l - 1) l; let rec aux (l: list a {length l > 0}) : Lemma (let l1, l2 = splitAt (length l - 1) l in append l1 l2 == l) = if length l = 1 then () else aux (tl l) in aux l
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_unsnoc_index
val lemma_unsnoc_index (#t: Type) (l: list t) (i: nat) : Lemma (requires (length l > 0 /\ i < length l - 1)) (ensures (i < length (fst (unsnoc l)) /\ index (fst (unsnoc l)) i == index l i))
val lemma_unsnoc_index (#t: Type) (l: list t) (i: nat) : Lemma (requires (length l > 0 /\ i < length l - 1)) (ensures (i < length (fst (unsnoc l)) /\ index (fst (unsnoc l)) i == index l i))
let rec lemma_unsnoc_index (#t:Type) (l:list t) (i:nat) : Lemma (requires (length l > 0 /\ i < length l - 1)) (ensures ( i < length (fst (unsnoc l)) /\ index (fst (unsnoc l)) i == index l i)) = match i with | 0 -> () | _ -> lemma_unsnoc_index (tl l) (i - 1)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 42, "end_line": 478, "start_col": 0, "start_line": 470 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list t -> i: Prims.nat -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.length l > 0 /\ i < FStar.List.Tot.Base.length l - 1) (ensures i < FStar.List.Tot.Base.length (FStar.Pervasives.Native.fst (FStar.List.Tot.Base.unsnoc l)) /\ FStar.List.Tot.Base.index (FStar.Pervasives....
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.int", "FStar.List.Tot.Properties.lemma_unsnoc_index", "FStar.List.Tot.Base.tl", "Prims.op_Subtraction", "Prims.unit", "Prims.l_and", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "Prims.op_LessThan", "Prims.squash", "FStar.Pervasives.N...
[ "recursion" ]
false
false
true
false
false
let rec lemma_unsnoc_index (#t: Type) (l: list t) (i: nat) : Lemma (requires (length l > 0 /\ i < length l - 1)) (ensures (i < length (fst (unsnoc l)) /\ index (fst (unsnoc l)) i == index l i)) =
match i with | 0 -> () | _ -> lemma_unsnoc_index (tl l) (i - 1)
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.block
val block : a: Hacl.Streaming.Blake2.Common.alg -> Type0
let block (a : alg) = (block: S.seq uint8 { S.length block = Spec.size_block a })
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 81, "end_line": 232, "start_col": 0, "start_line": 232 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "FStar.Seq.Base.seq", "Hacl.Streaming.Blake2.Common.uint8", "Prims.b2t", "Prims.op_Equality", "Prims.nat", "FStar.Seq.Base.length", "Spec.Blake2.Definitions.size_block" ]
[]
false
false
false
true
true
let block (a: alg) =
(block: S.seq uint8 {S.length block = Spec.size_block a})
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.mem_subset
val mem_subset (#a: eqtype) (la lb: list a) : Lemma (requires (forall x. mem x la ==> mem x lb)) (ensures (subset la lb))
val mem_subset (#a: eqtype) (la lb: list a) : Lemma (requires (forall x. mem x la ==> mem x lb)) (ensures (subset la lb))
let rec mem_subset (#a: eqtype) (la lb: list a) : Lemma (requires (forall x. mem x la ==> mem x lb)) (ensures (subset la lb)) = match la with | [] -> () | hd :: tl -> mem_subset tl lb
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 32, "end_line": 602, "start_col": 0, "start_line": 597 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
la: Prims.list a -> lb: Prims.list a -> FStar.Pervasives.Lemma (requires forall (x: a). FStar.List.Tot.Base.mem x la ==> FStar.List.Tot.Base.mem x lb) (ensures FStar.List.Tot.Base.subset la lb)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.mem_subset", "Prims.unit", "Prims.l_Forall", "Prims.l_imp", "Prims.b2t", "FStar.List.Tot.Base.mem", "Prims.squash", "FStar.List.Tot.Base.subset", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec mem_subset (#a: eqtype) (la lb: list a) : Lemma (requires (forall x. mem x la ==> mem x lb)) (ensures (subset la lb)) =
match la with | [] -> () | hd :: tl -> mem_subset tl lb
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.partition_mem_forall
val partition_mem_forall: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> Lemma (requires True) (ensures (let l1, l2 = partition f l in (forall x. mem x l = (mem x l1 || mem x l2))))
val partition_mem_forall: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> Lemma (requires True) (ensures (let l1, l2 = partition f l in (forall x. mem x l = (mem x l1 || mem x l2))))
let rec partition_mem_forall #a f l = match l with | [] -> () | hd::tl -> partition_mem_forall f tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 560, "start_col": 0, "start_line": 558 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> Prims.bool) -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures (let _ = FStar.List.Tot.Base.partition f l in (let FStar.Pervasives.Native.Mktuple2 #_ #_ l1 l2 = _ in forall (x: a). FStar.List.Tot.Base.mem x l = (FStar.List.Tot.Base.mem x l1 || FStar.L...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.partition_mem_forall", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec partition_mem_forall #a f l =
match l with | [] -> () | hd :: tl -> partition_mem_forall f tl
false
Hacl.Bignum.MontExponentiation.fst
Hacl.Bignum.MontExponentiation.bn_exp_mont_fw_vartime
val bn_exp_mont_fw_vartime: #t:limb_t -> k:BM.mont t -> l:size_t{0 < v l /\ v l < bits U32 /\ pow2 (v l) * v k.BM.bn.BN.len <= max_size_t} -> bn_exp_mont_st t k.BM.bn.BN.len
val bn_exp_mont_fw_vartime: #t:limb_t -> k:BM.mont t -> l:size_t{0 < v l /\ v l < bits U32 /\ pow2 (v l) * v k.BM.bn.BN.len <= max_size_t} -> bn_exp_mont_st t k.BM.bn.BN.len
let bn_exp_mont_fw_vartime #t k l n mu r2 aM bBits b resM = push_frame (); let h0 = ST.get () in [@inline_let] let len = k.BM.bn.BN.len in let bLen = blocks0 bBits (size (bits t)) in let k1 = Ghost.hide (E.mk_nat_mont_ll_comm_monoid (bits t) (v len) (bn_v h0 n) (v mu)) in let ctx = create (len +! len) (uint...
{ "file_name": "code/bignum/Hacl.Bignum.MontExponentiation.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 14, "end_line": 256, "start_col": 0, "start_line": 245 }
module Hacl.Bignum.MontExponentiation open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer open Hacl.Bignum.Definitions module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BD = Hacl.Spec.Bignum.Definitions module SN = Hacl.Spec.Bignum module SM = Hacl.Spec.B...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery...
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Hacl.Impl.Exponentiation", "short_module": "BE" },...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
k: Hacl.Bignum.Montgomery.mont t -> l: Lib.IntTypes.size_t { 0 < Lib.IntTypes.v l /\ Lib.IntTypes.v l < Lib.IntTypes.bits Lib.IntTypes.U32 /\ Prims.pow2 (Lib.IntTypes.v l) * Lib.IntTypes.v (Mkbn?.len (Mkmont?.bn k)) <= Lib.IntTypes.max_size_t } -> Hacl.Bignum.MontExponentiat...
Prims.Tot
[ "total" ]
[]
[ "Hacl.Bignum.Definitions.limb_t", "Hacl.Bignum.Montgomery.mont", "Lib.IntTypes.size_t", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.bits", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Prims.pow2", "Hacl.Bignu...
[]
false
false
false
false
false
let bn_exp_mont_fw_vartime #t k l n mu r2 aM bBits b resM =
push_frame (); let h0 = ST.get () in [@@ inline_let ]let len = k.BM.bn.BN.len in let bLen = blocks0 bBits (size (bits t)) in let k1 = Ghost.hide (E.mk_nat_mont_ll_comm_monoid (bits t) (v len) (bn_v h0 n) (v mu)) in let ctx = create (len +! len) (uint #t #SEC 0) in mk_ctx #t len n r2 ctx; BE.lexp_fw_vartime len (len +! ...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.index_of
val index_of (#t: Type) (l: list t) (x: t{x `memP` l}) : GTot (i: nat{i < length l /\ index l i == x})
val index_of (#t: Type) (l: list t) (x: t{x `memP` l}) : GTot (i: nat{i < length l /\ index l i == x})
let rec index_of (#t:Type) (l:list t) (x:t{x `memP` l}) : GTot (i:nat{i < length l /\ index l i == x}) = match l with | [_] -> 0 | a :: rest -> if FStar.StrongExcludedMiddle.strong_excluded_middle (a == x) then ( 0 ) else ( 1 + index_of rest x )
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 536, "start_col": 0, "start_line": 527 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list t -> x: t{FStar.List.Tot.Base.memP x l} -> Prims.GTot (i: Prims.nat{i < FStar.List.Tot.Base.length l /\ FStar.List.Tot.Base.index l i == x})
Prims.GTot
[ "sometrivial" ]
[]
[ "Prims.list", "FStar.List.Tot.Base.memP", "FStar.StrongExcludedMiddle.strong_excluded_middle", "Prims.eq2", "Prims.bool", "Prims.op_Addition", "FStar.List.Tot.Properties.index_of", "Prims.nat", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "FStar.List.Tot.Base.length", "FStar.List.Tot.Bas...
[ "recursion" ]
false
false
false
false
false
let rec index_of (#t: Type) (l: list t) (x: t{x `memP` l}) : GTot (i: nat{i < length l /\ index l i == x}) =
match l with | [_] -> 0 | a :: rest -> if FStar.StrongExcludedMiddle.strong_excluded_middle (a == x) then (0) else (1 + index_of rest x)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.partition_count_forall
val partition_count_forall: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> Lemma (requires True) (ensures (forall x. count x l = (count x (fst (partition f l)) + count x (snd (partition f l)))))
val partition_count_forall: #a:eqtype -> f:(a -> Tot bool) -> l:list a -> Lemma (requires True) (ensures (forall x. count x l = (count x (fst (partition f l)) + count x (snd (partition f l)))))
let rec partition_count_forall #a f l= match l with | [] -> () | hd::tl -> partition_count_forall f tl
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 593, "start_col": 0, "start_line": 591 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> Prims.bool) -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures forall (x: a). FStar.List.Tot.Base.count x l = FStar.List.Tot.Base.count x (FStar.Pervasives.Native.fst (FStar.List.Tot.Base.partition f l)) + FStar.List.Tot.Base.count x (FStar.Pervasiv...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "FStar.List.Tot.Properties.partition_count_forall", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec partition_count_forall #a f l =
match l with | [] -> () | hd :: tl -> partition_count_forall f tl
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.state_to_lbuffer
val state_to_lbuffer (#a: alg) (#m: m_spec) (s: Core.state_p a m) : B.lbuffer (Core.element_t a m) (4 * U32.v (Core.row_len a m))
val state_to_lbuffer (#a: alg) (#m: m_spec) (s: Core.state_p a m) : B.lbuffer (Core.element_t a m) (4 * U32.v (Core.row_len a m))
let state_to_lbuffer (#a : alg) (#m : m_spec) (s : Core.state_p a m) : B.lbuffer (Core.element_t a m) (4 * U32.v (Core.row_len a m)) = s
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 86, "start_col": 0, "start_line": 84 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
s: Hacl.Impl.Blake2.Core.state_p a m -> LowStar.Buffer.lbuffer (Hacl.Impl.Blake2.Core.element_t a m) (4 * FStar.UInt32.v (Hacl.Impl.Blake2.Core.row_len a m))
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Streaming.Blake2.Common.m_spec", "Hacl.Impl.Blake2.Core.state_p", "LowStar.Buffer.lbuffer", "Hacl.Impl.Blake2.Core.element_t", "FStar.Mul.op_Star", "FStar.UInt32.v", "Hacl.Impl.Blake2.Core.row_len" ]
[]
false
false
false
false
false
let state_to_lbuffer (#a: alg) (#m: m_spec) (s: Core.state_p a m) : B.lbuffer (Core.element_t a m) (4 * U32.v (Core.row_len a m)) =
s
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.lemma_split_using
val lemma_split_using (#t: Type) (l: list t) (x: t{x `memP` l}) : Lemma (ensures (let l1, l2 = split_using l x in length l2 > 0 /\ ~(x `memP` l1) /\ hd l2 == x /\ append l1 l2 == l))
val lemma_split_using (#t: Type) (l: list t) (x: t{x `memP` l}) : Lemma (ensures (let l1, l2 = split_using l x in length l2 > 0 /\ ~(x `memP` l1) /\ hd l2 == x /\ append l1 l2 == l))
let rec lemma_split_using (#t:Type) (l:list t) (x:t{x `memP` l}) : Lemma (ensures ( let l1, l2 = split_using l x in length l2 > 0 /\ ~(x `memP` l1) /\ hd l2 == x /\ append l1 l2 == l)) = match l with | [_] -> () | a :: rest -> let goal = let l1, l2 = split...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 66, "end_line": 520, "start_col": 0, "start_line": 498 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l: Prims.list t -> x: t{FStar.List.Tot.Base.memP x l} -> FStar.Pervasives.Lemma (ensures (let _ = FStar.List.Tot.Properties.split_using l x in (let FStar.Pervasives.Native.Mktuple2 #_ #_ l1 l2 = _ in FStar.List.Tot.Base.length l2 > 0 /\ ~(FStar.List.Tot.Base.memP x l1) /\ FStar.L...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Base.memP", "FStar.Classical.or_elim", "Prims.eq2", "Prims.unit", "Prims.squash", "FStar.List.Tot.Properties.lemma_split_using", "Prims.l_and", "Prims.b2t", "Prims.op_GreaterThan", "FStar.List.Tot.Base.length", "Prims.l_not", "FStar.List.Tot.Base.hd", "FStar.L...
[ "recursion" ]
false
false
true
false
false
let rec lemma_split_using (#t: Type) (l: list t) (x: t{x `memP` l}) : Lemma (ensures (let l1, l2 = split_using l x in length l2 > 0 /\ ~(x `memP` l1) /\ hd l2 == x /\ append l1 l2 == l)) =
match l with | [_] -> () | a :: rest -> let goal = let l1, l2 = split_using l x in length l2 > 0 /\ ~(x `memP` l1) /\ hd l2 == x /\ append l1 l2 == l in FStar.Classical.or_elim #_ #_ #(fun () -> goal) (fun (_: squash (a == x)) -> ()) (fun (_: squash (x `memP` rest)) -> lemma_split_using re...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.append_sorted
val append_sorted: #a:eqtype -> f:(a -> a -> Tot bool) -> l1:list a{sorted f l1} -> l2:list a{sorted f l2} -> pivot:a -> Lemma (requires (total_order #a f /\ (forall y. mem y l1 ==> not(f pivot y)) ...
val append_sorted: #a:eqtype -> f:(a -> a -> Tot bool) -> l1:list a{sorted f l1} -> l2:list a{sorted f l2} -> pivot:a -> Lemma (requires (total_order #a f /\ (forall y. mem y l1 ==> not(f pivot y)) ...
let rec append_sorted #a f l1 l2 pivot = match l1 with | [] -> () | hd::tl -> append_sorted f tl l2 pivot
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 656, "start_col": 0, "start_line": 654 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> _: a -> Prims.bool) -> l1: Prims.list a {FStar.List.Tot.Properties.sorted f l1} -> l2: Prims.list a {FStar.List.Tot.Properties.sorted f l2} -> pivot: a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Properties.total_order f /\ (forall (y: a). FStar.List.Tot.Base....
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.bool", "Prims.list", "Prims.b2t", "FStar.List.Tot.Properties.sorted", "FStar.List.Tot.Properties.append_sorted", "Prims.unit" ]
[ "recursion" ]
false
false
true
false
false
let rec append_sorted #a f l1 l2 pivot =
match l1 with | [] -> () | hd :: tl -> append_sorted f tl l2 pivot
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.sortWith_permutation
val sortWith_permutation: #a:eqtype -> f:(a -> a -> Tot int) -> l:list a -> Lemma (requires True) (ensures (forall x. count x l = count x (sortWith f l))) (decreases (length l))
val sortWith_permutation: #a:eqtype -> f:(a -> a -> Tot int) -> l:list a -> Lemma (requires True) (ensures (forall x. count x l = count x (sortWith f l))) (decreases (length l))
let rec sortWith_permutation #a f l = match l with | [] -> () | pivot::tl -> let hi, lo = partition (bool_of_compare f pivot) tl in partition_length (bool_of_compare f pivot) tl; partition_count_forall (bool_of_compare f pivot) tl; sortWith_permutation f lo; sortWith_permutat...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 65, "end_line": 624, "start_col": 0, "start_line": 616 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> _: a -> Prims.int) -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures forall (x: a). FStar.List.Tot.Base.count x l = FStar.List.Tot.Base.count x (FStar.List.Tot.Base.sortWith f l)) (decreases FStar.List.Tot.Base.length l)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.int", "Prims.list", "FStar.List.Tot.Properties.append_count_forall", "FStar.List.Tot.Base.sortWith", "Prims.Cons", "Prims.unit", "FStar.List.Tot.Properties.sortWith_permutation", "FStar.List.Tot.Properties.partition_count_forall", "FStar.List.Tot.Base.bool_of_compare", "FS...
[ "recursion" ]
false
false
true
false
false
let rec sortWith_permutation #a f l =
match l with | [] -> () | pivot :: tl -> let hi, lo = partition (bool_of_compare f pivot) tl in partition_length (bool_of_compare f pivot) tl; partition_count_forall (bool_of_compare f pivot) tl; sortWith_permutation f lo; sortWith_permutation f hi; append_count_forall (sortWith f lo) (pivot :: sortWith f h...
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.max_input_len
val max_input_len (a: alg) : (x: U64.t{U64.v x == max_input_length a})
val max_input_len (a: alg) : (x: U64.t{U64.v x == max_input_length a})
let max_input_len (a: alg): (x:U64.t { U64.v x == max_input_length a }) = 0xffffffffffffffffUL
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 94, "end_line": 229, "start_col": 0, "start_line": 229 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> x: FStar.UInt64.t{FStar.UInt64.v x == Hacl.Streaming.Blake2.Common.max_input_length a}
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "FStar.UInt64.__uint_to_t", "FStar.UInt64.t", "Prims.eq2", "Prims.int", "Prims.l_or", "FStar.UInt.size", "FStar.UInt64.n", "Prims.l_and", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "Prims.op_LessThanOrEqual", "Spec.Blake2.Definitions.max_limb", "Prims.o...
[]
false
false
false
false
false
let max_input_len (a: alg) : (x: U64.t{U64.v x == max_input_length a}) =
0xffffffffffffffffuL
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.sorted
val sorted: ('a -> 'a -> Tot bool) -> list 'a -> Tot bool
val sorted: ('a -> 'a -> Tot bool) -> list 'a -> Tot bool
let rec sorted f = function | [] | [_] -> true | x::y::tl -> f x y && sorted f (y::tl)
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 633, "start_col": 0, "start_line": 630 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: 'a -> _: 'a -> Prims.bool) -> _: Prims.list 'a -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.bool", "Prims.list", "Prims.op_AmpAmp", "FStar.List.Tot.Properties.sorted", "Prims.Cons" ]
[ "recursion" ]
false
false
false
true
false
let rec sorted f =
function | [] | [_] -> true | x :: y :: tl -> f x y && sorted f (y :: tl)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.noRepeats_append_elim
val noRepeats_append_elim (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats (l1 @ l2))) (ensures (noRepeats l1 /\ noRepeats l2 /\ (forall x. mem x l1 ==> ~(mem x l2)))) (decreases l1)
val noRepeats_append_elim (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats (l1 @ l2))) (ensures (noRepeats l1 /\ noRepeats l2 /\ (forall x. mem x l1 ==> ~(mem x l2)))) (decreases l1)
let rec noRepeats_append_elim (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats (l1 @ l2))) (ensures (noRepeats l1 /\ noRepeats l2 /\ (forall x . mem x l1 ==> ~ (mem x l2)))) (decreases l1) = match l1 with | [] -> () | x :: q1 -> append_mem q1 l2 x; noRepeats_append_elim q1 l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 31, "end_line": 704, "start_col": 0, "start_line": 693 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.noRepeats (l1 @ l2)) (ensures FStar.List.Tot.Base.noRepeats l1 /\ FStar.List.Tot.Base.noRepeats l2 /\ (forall (x: a). FStar.List.Tot.Base.mem x l1 ==> ~(FStar.List.Tot.Base.mem x l2))) (decreases l...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.noRepeats_append_elim", "Prims.unit", "FStar.List.Tot.Properties.append_mem", "Prims.b2t", "FStar.List.Tot.Base.noRepeats", "FStar.List.Tot.Base.op_At", "Prims.squash", "Prims.l_and", "Prims.l_Forall", "Prims.l_imp", "FStar.List.Tot.Ba...
[ "recursion" ]
false
false
true
false
false
let rec noRepeats_append_elim (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats (l1 @ l2))) (ensures (noRepeats l1 /\ noRepeats l2 /\ (forall x. mem x l1 ==> ~(mem x l2)))) (decreases l1) =
match l1 with | [] -> () | x :: q1 -> append_mem q1 l2 x; noRepeats_append_elim q1 l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.noRepeats_append_intro
val noRepeats_append_intro (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats l1 /\ noRepeats l2 /\ (forall x. mem x l1 ==> ~(mem x l2)))) (ensures (noRepeats (l1 @ l2))) (decreases l1)
val noRepeats_append_intro (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats l1 /\ noRepeats l2 /\ (forall x. mem x l1 ==> ~(mem x l2)))) (ensures (noRepeats (l1 @ l2))) (decreases l1)
let rec noRepeats_append_intro (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats l1 /\ noRepeats l2 /\ (forall x . mem x l1 ==> ~ (mem x l2)))) (ensures (noRepeats (l1 @ l2))) (decreases l1) = match l1 with | [] -> () | x :: q1 -> append_mem q1 l2 x; noRepeats_append_intro q1 l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 32, "end_line": 717, "start_col": 0, "start_line": 706 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.noRepeats l1 /\ FStar.List.Tot.Base.noRepeats l2 /\ (forall (x: a). FStar.List.Tot.Base.mem x l1 ==> ~(FStar.List.Tot.Base.mem x l2))) (ensures FStar.List.Tot.Base.noRepeats (l1 @ l2)) (decre...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.List.Tot.Properties.noRepeats_append_intro", "Prims.unit", "FStar.List.Tot.Properties.append_mem", "Prims.l_and", "Prims.b2t", "FStar.List.Tot.Base.noRepeats", "Prims.l_Forall", "Prims.l_imp", "FStar.List.Tot.Base.mem", "Prims.l_not", "Prims.squash", "F...
[ "recursion" ]
false
false
true
false
false
let rec noRepeats_append_intro (#a: eqtype) (l1 l2: list a) : Lemma (requires (noRepeats l1 /\ noRepeats l2 /\ (forall x. mem x l1 ==> ~(mem x l2)))) (ensures (noRepeats (l1 @ l2))) (decreases l1) =
match l1 with | [] -> () | x :: q1 -> append_mem q1 l2 x; noRepeats_append_intro q1 l2
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.stateful_key_to_buffer
val stateful_key_to_buffer (#a: alg) (#kk: key_size a) (key: stateful_key_t a kk) : b: B.buffer uint8 {B.length b = kk}
val stateful_key_to_buffer (#a: alg) (#kk: key_size a) (key: stateful_key_t a kk) : b: B.buffer uint8 {B.length b = kk}
let stateful_key_to_buffer (#a : alg) (#kk : key_size a) (key : stateful_key_t a kk) : b:B.buffer uint8 { B.length b = kk } = if kk = 0 then B.null #uint8 else key
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 39, "end_line": 212, "start_col": 0, "start_line": 209 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
key: Hacl.Streaming.Blake2.Common.stateful_key_t a kk -> b: LowStar.Buffer.buffer Hacl.Streaming.Blake2.Common.uint8 {LowStar.Monotonic.Buffer.length b = kk}
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Hacl.Streaming.Blake2.Common.key_size", "Hacl.Streaming.Blake2.Common.stateful_key_t", "Prims.op_Equality", "Prims.int", "LowStar.Buffer.null", "Hacl.Streaming.Blake2.Common.uint8", "Prims.bool", "LowStar.Buffer.buffer", "Prims.b2t", "Prims.nat", "LowStar.M...
[]
false
false
false
false
false
let stateful_key_to_buffer (#a: alg) (#kk: key_size a) (key: stateful_key_t a kk) : b: B.buffer uint8 {B.length b = kk} =
if kk = 0 then B.null #uint8 else key
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.no_repeats_p_append_elim
val no_repeats_p_append_elim (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p (l1 `append` l2))) (ensures (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))) (decreases l1)
val no_repeats_p_append_elim (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p (l1 `append` l2))) (ensures (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))) (decreases l1)
let rec no_repeats_p_append_elim (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p (l1 `append` l2))) (ensures (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x . memP x l1 ==> ~ (memP x l2)))) (decreases l1) = match l1 with | [] -> () | x :: q1 -> append_memP q1 l2 x; no_repeats_p_append_...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 34, "end_line": 746, "start_col": 0, "start_line": 735 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.no_repeats_p (l1 @ l2)) (ensures FStar.List.Tot.Base.no_repeats_p l1 /\ FStar.List.Tot.Base.no_repeats_p l2 /\ (forall (x: a). FStar.List.Tot.Base.memP x l1 ==> ~(FStar.List.Tot.Base.memP x l2))) (...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.no_repeats_p_append_elim", "Prims.unit", "FStar.List.Tot.Properties.append_memP", "FStar.List.Tot.Base.no_repeats_p", "FStar.List.Tot.Base.append", "Prims.squash", "Prims.l_and", "Prims.l_Forall", "Prims.l_imp", "FStar.List.Tot.Base.memP", "Prims.l_not"...
[ "recursion" ]
false
false
true
false
false
let rec no_repeats_p_append_elim (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p (l1 `append` l2))) (ensures (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))) (decreases l1) =
match l1 with | [] -> () | x :: q1 -> append_memP q1 l2 x; no_repeats_p_append_elim q1 l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.no_repeats_p_append
val no_repeats_p_append (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> ((no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))))
val no_repeats_p_append (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> ((no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))))
let no_repeats_p_append (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> ( (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x . memP x l1 ==> ~ (memP x l2))) )) = FStar.Classical.move_requires (no_repeats_p_append_intro l1) l2; FStar.Classical.move_requires (no_repeats_p_append_elim l1...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 64, "end_line": 769, "start_col": 0, "start_line": 761 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.no_repeats_p (l1 @ l2) <==> FStar.List.Tot.Base.no_repeats_p l1 /\ FStar.List.Tot.Base.no_repeats_p l2 /\ (forall (x: a). FStar.List.Tot.Base.memP x l1 ==> ~(FStar.List.Tot.Base.memP x l2)))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.Classical.move_requires", "FStar.List.Tot.Base.no_repeats_p", "FStar.List.Tot.Base.append", "Prims.l_and", "Prims.l_Forall", "Prims.l_imp", "FStar.List.Tot.Base.memP", "Prims.l_not", "FStar.List.Tot.Properties.no_repeats_p_append_elim", "Prims.unit", "FStar.List.Tot.Proper...
[]
false
false
true
false
false
let no_repeats_p_append (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> ((no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2))))) =
FStar.Classical.move_requires (no_repeats_p_append_intro l1) l2; FStar.Classical.move_requires (no_repeats_p_append_elim l1) l2
false
Hacl.Bignum.MontExponentiation.fst
Hacl.Bignum.MontExponentiation.bn_exp_mont_bm_vartime
val bn_exp_mont_bm_vartime: #t:limb_t -> k:BM.mont t -> bn_exp_mont_st t k.BM.bn.BN.len
val bn_exp_mont_bm_vartime: #t:limb_t -> k:BM.mont t -> bn_exp_mont_st t k.BM.bn.BN.len
let bn_exp_mont_bm_vartime #t k n mu r2 aM bBits b resM = push_frame (); let h0 = ST.get () in [@inline_let] let len = k.BM.bn.BN.len in [@inline_let] let bLen = blocks0 bBits (size (bits t)) in let k1 = Ghost.hide (E.mk_nat_mont_ll_comm_monoid (bits t) (v len) (bn_v h0 n) (v mu)) in let ctx = create (len +...
{ "file_name": "code/bignum/Hacl.Bignum.MontExponentiation.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 14, "end_line": 216, "start_col": 0, "start_line": 205 }
module Hacl.Bignum.MontExponentiation open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer open Hacl.Bignum.Definitions module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BD = Hacl.Spec.Bignum.Definitions module SN = Hacl.Spec.Bignum module SM = Hacl.Spec.B...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery...
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Hacl.Impl.Exponentiation", "short_module": "BE" },...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
k: Hacl.Bignum.Montgomery.mont t -> Hacl.Bignum.MontExponentiation.bn_exp_mont_st t (Mkbn?.len (Mkmont?.bn k))
Prims.Tot
[ "total" ]
[]
[ "Hacl.Bignum.Definitions.limb_t", "Hacl.Bignum.Montgomery.mont", "Hacl.Bignum.Definitions.lbignum", "Hacl.Bignum.__proj__Mkbn__item__len", "Hacl.Bignum.Montgomery.__proj__Mkmont__item__bn", "Hacl.Bignum.Definitions.limb", "Lib.IntTypes.size_t", "Hacl.Bignum.Definitions.blocks0", "Lib.IntTypes.size",...
[]
false
false
false
false
false
let bn_exp_mont_bm_vartime #t k n mu r2 aM bBits b resM =
push_frame (); let h0 = ST.get () in [@@ inline_let ]let len = k.BM.bn.BN.len in [@@ inline_let ]let bLen = blocks0 bBits (size (bits t)) in let k1 = Ghost.hide (E.mk_nat_mont_ll_comm_monoid (bits t) (v len) (bn_v h0 n) (v mu)) in let ctx = create (len +! len) (uint #t #SEC 0) in mk_ctx #t len n r2 ctx; BE.lexp_rl_vart...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.sortWith_sorted
val sortWith_sorted: #a:eqtype -> f:(a -> a -> Tot int) -> l:list a -> Lemma (requires (total_order #a (bool_of_compare f))) (ensures ((sorted (bool_of_compare f) (sortWith f l)) /\ (forall x. mem x l = mem x (sortWith f l)))) (decreases (length l))
val sortWith_sorted: #a:eqtype -> f:(a -> a -> Tot int) -> l:list a -> Lemma (requires (total_order #a (bool_of_compare f))) (ensures ((sorted (bool_of_compare f) (sortWith f l)) /\ (forall x. mem x l = mem x (sortWith f l)))) (decreases (length l))
let rec sortWith_sorted #a f l = match l with | [] -> () | pivot::tl -> let hi, lo = partition (bool_of_compare f pivot) tl in partition_length (bool_of_compare f pivot) tl; partition_mem_forall (bool_of_compare f pivot) tl; partition_mem_p_forall (bool_of_compare f pivot) tl; ...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 78, "end_line": 675, "start_col": 0, "start_line": 665 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> _: a -> Prims.int) -> l: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Properties.total_order (FStar.List.Tot.Base.bool_of_compare f)) (ensures FStar.List.Tot.Properties.sorted (FStar.List.Tot.Base.bool_of_compare f) (FStar.List.Tot.Base.sortWith f l) /\ ...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.int", "Prims.list", "FStar.List.Tot.Properties.append_sorted", "FStar.List.Tot.Base.bool_of_compare", "FStar.List.Tot.Base.sortWith", "Prims.unit", "FStar.List.Tot.Properties.append_mem_forall", "Prims.Cons", "FStar.List.Tot.Properties.sortWith_sorted", "FStar.List.Tot.Pro...
[ "recursion" ]
false
false
true
false
false
let rec sortWith_sorted #a f l =
match l with | [] -> () | pivot :: tl -> let hi, lo = partition (bool_of_compare f pivot) tl in partition_length (bool_of_compare f pivot) tl; partition_mem_forall (bool_of_compare f pivot) tl; partition_mem_p_forall (bool_of_compare f pivot) tl; sortWith_sorted f lo; sortWith_sorted f hi; append_mem_fora...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.no_repeats_p_append_swap
val no_repeats_p_append_swap (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> no_repeats_p (l2 `append` l1))
val no_repeats_p_append_swap (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> no_repeats_p (l2 `append` l1))
let no_repeats_p_append_swap (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> no_repeats_p (l2 `append` l1)) = no_repeats_p_append l1 l2; no_repeats_p_append l2 l1
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 27, "end_line": 777, "start_col": 0, "start_line": 771 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.no_repeats_p (l1 @ l2) <==> FStar.List.Tot.Base.no_repeats_p (l2 @ l1))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.no_repeats_p_append", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_iff", "FStar.List.Tot.Base.no_repeats_p", "FStar.List.Tot.Base.append", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let no_repeats_p_append_swap (#a: Type) (l1 l2: list a) : Lemma (no_repeats_p (l1 `append` l2) <==> no_repeats_p (l2 `append` l1)) =
no_repeats_p_append l1 l2; no_repeats_p_append l2 l1
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.no_repeats_p_false_intro
val no_repeats_p_false_intro (#a: Type) (l1 l l2 l3: list a) : Lemma (requires (Cons? l)) (ensures (~(no_repeats_p (l1 `append` (l `append` (l2 `append` (l `append` l3)))))))
val no_repeats_p_false_intro (#a: Type) (l1 l l2 l3: list a) : Lemma (requires (Cons? l)) (ensures (~(no_repeats_p (l1 `append` (l `append` (l2 `append` (l `append` l3)))))))
let no_repeats_p_false_intro (#a: Type) (l1 l l2 l3: list a) : Lemma (requires (Cons? l)) (ensures (~ (no_repeats_p (l1 `append` (l `append` (l2 `append` (l `append` l3))))))) = let x = hd l in assert (memP x l); no_repeats_p_append l1 (l `append` (l2 `append` (l `append` l3))); no_repeats_p_append l (l2 ...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 20, "end_line": 810, "start_col": 0, "start_line": 799 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l: Prims.list a -> l2: Prims.list a -> l3: Prims.list a -> FStar.Pervasives.Lemma (requires Cons? l) (ensures ~(FStar.List.Tot.Base.no_repeats_p (l1 @ l @ l2 @ l @ l3)))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_memP", "Prims.unit", "FStar.List.Tot.Base.append", "FStar.List.Tot.Properties.no_repeats_p_append", "Prims._assert", "FStar.List.Tot.Base.memP", "FStar.List.Tot.Base.hd", "Prims.b2t", "Prims.uu___is_Cons", "Prims.squash", "Prims.l_not", "FStar....
[]
true
false
true
false
false
let no_repeats_p_false_intro (#a: Type) (l1 l l2 l3: list a) : Lemma (requires (Cons? l)) (ensures (~(no_repeats_p (l1 `append` (l `append` (l2 `append` (l `append` l3))))))) =
let x = hd l in assert (memP x l); no_repeats_p_append l1 (l `append` (l2 `append` (l `append` l3))); no_repeats_p_append l (l2 `append` (l `append` l3)); append_memP l2 (l `append` l3) x; append_memP l l3 x
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.fold_left_invar
val fold_left_invar (#a #b: Type) (f: (a -> b -> Tot a)) (l: list b) (p: (a -> Tot Type0)) : Lemma (requires forall (x: a) (y: b). p x ==> memP y l ==> p (f x y)) (ensures forall (x: a). p x ==> p (fold_left f x l))
val fold_left_invar (#a #b: Type) (f: (a -> b -> Tot a)) (l: list b) (p: (a -> Tot Type0)) : Lemma (requires forall (x: a) (y: b). p x ==> memP y l ==> p (f x y)) (ensures forall (x: a). p x ==> p (fold_left f x l))
let rec fold_left_invar (#a #b: Type) (f: (a -> b -> Tot a)) (l: list b) (p: (a -> Tot Type0)) : Lemma (requires forall (x: a) (y: b) . p x ==> memP y l ==> p (f x y) ) (ensures forall (x: a) . p x ==> p (fold_left f x l)) = match l with | [] -> () | y :: q -> fold_left_invar f q p
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 35, "end_line": 926, "start_col": 0, "start_line": 915 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> _: b -> a) -> l: Prims.list b -> p: (_: a -> Type0) -> FStar.Pervasives.Lemma (requires forall (x: a) (y: b). p x ==> FStar.List.Tot.Base.memP y l ==> p (f x y)) (ensures forall (x: a). p x ==> p (FStar.List.Tot.Base.fold_left f x l))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.fold_left_invar", "Prims.unit", "Prims.l_Forall", "Prims.l_imp", "FStar.List.Tot.Base.memP", "Prims.squash", "FStar.List.Tot.Base.fold_left", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec fold_left_invar (#a #b: Type) (f: (a -> b -> Tot a)) (l: list b) (p: (a -> Tot Type0)) : Lemma (requires forall (x: a) (y: b). p x ==> memP y l ==> p (f x y)) (ensures forall (x: a). p x ==> p (fold_left f x l)) =
match l with | [] -> () | y :: q -> fold_left_invar f q p
false
Hacl.Streaming.Blake2.Common.fst
Hacl.Streaming.Blake2.Common.max_input_length
val max_input_length (a: alg) : n: nat{n <= Spec.max_limb a /\ n > Spec.size_block a}
val max_input_length (a: alg) : n: nat{n <= Spec.max_limb a /\ n > Spec.size_block a}
let max_input_length (a : alg) : n:nat { n <= Spec.max_limb a /\ n > Spec.size_block a } = assert_norm (pow2 64 < pow2 128); pow2 64 - 1
{ "file_name": "code/streaming/Hacl.Streaming.Blake2.Common.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 13, "end_line": 226, "start_col": 0, "start_line": 224 }
module Hacl.Streaming.Blake2.Common module HS = FStar.HyperStack module B = LowStar.Buffer module S = FStar.Seq module LS = Lib.Sequence module U32 = FStar.UInt32 module U64 = FStar.UInt64 module U128 = FStar.UInt128 module I = Hacl.Streaming.Interface module ST = FStar.HyperStack.ST open FStar.Mul module Loops = Li...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.Alternative.fsti.checked", "Spec.Blake2.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.che...
[ { "abbrev": false, "full_module": "Hacl.Impl.Blake2.Generic", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Impl.Blake2.Core", "short_module": "Core" }, { "abbrev": true, "full_module": "Spec.Blake2", "short_module": "Spec" }, { "abbrev": true, ...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
a: Hacl.Streaming.Blake2.Common.alg -> n: Prims.nat{n <= Spec.Blake2.Definitions.max_limb a /\ n > Spec.Blake2.Definitions.size_block a}
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Blake2.Common.alg", "Prims.op_Subtraction", "Prims.pow2", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_LessThan", "Prims.nat", "Prims.l_and", "Prims.op_LessThanOrEqual", "Spec.Blake2.Definitions.max_limb", "Prims.op_GreaterThan", "Spec.Blake2.Definitio...
[]
false
false
false
false
false
let max_input_length (a: alg) : n: nat{n <= Spec.max_limb a /\ n > Spec.size_block a} =
assert_norm (pow2 64 < pow2 128); pow2 64 - 1
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.no_repeats_p_append_permut
val no_repeats_p_append_permut (#a: Type) (l1 l2 l3 l4 l5: list a) : Lemma ((no_repeats_p (l1 `append` (l2 `append` (l3 `append` (l4 `append` l5))))) <==> no_repeats_p (l1 `append` (l4 `append` (l3 `append` (l2 `append` l5)))))
val no_repeats_p_append_permut (#a: Type) (l1 l2 l3 l4 l5: list a) : Lemma ((no_repeats_p (l1 `append` (l2 `append` (l3 `append` (l4 `append` l5))))) <==> no_repeats_p (l1 `append` (l4 `append` (l3 `append` (l2 `append` l5)))))
let no_repeats_p_append_permut (#a: Type) (l1 l2 l3 l4 l5: list a) : Lemma ((no_repeats_p (l1 `append` (l2 `append` (l3 `append` (l4 `append` l5))))) <==> no_repeats_p (l1 `append` (l4 `append` (l3 `append` (l2 `append` l5))))) = no_repeats_p_append l1 (l2 `append` (l3 `append` (l4 `append` l5))); append_memP_f...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 54, "end_line": 797, "start_col": 0, "start_line": 779 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> l3: Prims.list a -> l4: Prims.list a -> l5: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.no_repeats_p (l1 @ l2 @ l3 @ l4 @ l5) <==> FStar.List.Tot.Base.no_repeats_p (l1 @ l4 @ l3 @ l2 @ l5))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.append_memP_forall", "FStar.List.Tot.Base.append", "Prims.unit", "FStar.List.Tot.Properties.no_repeats_p_append", "Prims.l_True", "Prims.squash", "Prims.l_iff", "FStar.List.Tot.Base.no_repeats_p", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let no_repeats_p_append_permut (#a: Type) (l1 l2 l3 l4 l5: list a) : Lemma ((no_repeats_p (l1 `append` (l2 `append` (l3 `append` (l4 `append` l5))))) <==> no_repeats_p (l1 `append` (l4 `append` (l3 `append` (l2 `append` l5))))) =
no_repeats_p_append l1 (l2 `append` (l3 `append` (l4 `append` l5))); append_memP_forall l2 (l3 `append` (l4 `append` l5)); append_memP_forall l3 (l4 `append` l5); append_memP_forall l4 l5; no_repeats_p_append l2 (l3 `append` (l4 `append` l5)); no_repeats_p_append l3 (l4 `append` l5); no_repeats_p_append l4 l5; no_repea...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.assoc_append_elim_r
val assoc_append_elim_r (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l2 == None \/ ~(assoc x l1 == None))) (ensures (assoc x (l1 @ l2) == assoc x l1)) (decreases l1)
val assoc_append_elim_r (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l2 == None \/ ~(assoc x l1 == None))) (ensures (assoc x (l1 @ l2) == assoc x l1)) (decreases l1)
let rec assoc_append_elim_r (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l2 == None \/ ~ (assoc x l1 == None))) (ensures (assoc x (l1 @ l2) == assoc x l1)) (decreases l1) = match l1 with | [] -> () | (x', _) :: q -> if x = x' then () else assoc_append_elim_r x q l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 69, "end_line": 854, "start_col": 0, "start_line": 843 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> l1: Prims.list (a * b) -> l2: Prims.list (a * b) -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.assoc x l2 == FStar.Pervasives.Native.None \/ ~(FStar.List.Tot.Base.assoc x l1 == FStar.Pervasives.Native.None)) (ensures FStar.List.Tot.Base.assoc x (l1 @ l2) == FStar.List.Tot...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "Prims.bool", "FStar.List.Tot.Properties.assoc_append_elim_r", "Prims.unit", "Prims.l_or", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native.None", "Prims.l...
[ "recursion" ]
false
false
true
false
false
let rec assoc_append_elim_r (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l2 == None \/ ~(assoc x l1 == None))) (ensures (assoc x (l1 @ l2) == assoc x l1)) (decreases l1) =
match l1 with | [] -> () | (x', _) :: q -> if x = x' then () else assoc_append_elim_r x q l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.assoc_append_elim_l
val assoc_append_elim_l (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l1 == None)) (ensures (assoc x (l1 @ l2) == assoc x l2)) (decreases l1)
val assoc_append_elim_l (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l1 == None)) (ensures (assoc x (l1 @ l2) == assoc x l2)) (decreases l1)
let rec assoc_append_elim_l (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l1 == None)) (ensures (assoc x (l1 @ l2) == assoc x l2)) (decreases l1) = match l1 with | [] -> () | (x', _) :: q -> if x = x' then assert False else assoc_append_elim_l x q l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 79, "end_line": 867, "start_col": 0, "start_line": 856 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> l1: Prims.list (a * b) -> l2: Prims.list (a * b) -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.assoc x l1 == FStar.Pervasives.Native.None) (ensures FStar.List.Tot.Base.assoc x (l1 @ l2) == FStar.List.Tot.Base.assoc x l2) (decreases l1)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "Prims._assert", "Prims.l_False", "Prims.bool", "FStar.List.Tot.Properties.assoc_append_elim_l", "Prims.unit", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Na...
[ "recursion" ]
false
false
true
false
false
let rec assoc_append_elim_l (#a: eqtype) (#b: Type) (x: a) (l1 l2: list (a * b)) : Lemma (requires (assoc x l1 == None)) (ensures (assoc x (l1 @ l2) == assoc x l2)) (decreases l1) =
match l1 with | [] -> () | (x', _) :: q -> if x = x' then assert False else assoc_append_elim_l x q l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.assoc_mem
val assoc_mem (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (ensures (mem x (map fst l) <==> (exists y. assoc x l == Some y)))
val assoc_mem (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (ensures (mem x (map fst l) <==> (exists y. assoc x l == Some y)))
let assoc_mem (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (ensures (mem x (map fst l) <==> (exists y . assoc x l == Some y))) = match assoc x l with | None -> assoc_memP_none x l; mem_memP x (map fst l); memP_map_elim fst x l | Some y -> assoc_memP_some x y l; memP_map_int...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 26, "end_line": 911, "start_col": 0, "start_line": 896 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> l: Prims.list (a * b) -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.mem x (FStar.List.Tot.Base.map FStar.Pervasives.Native.fst l) <==> (exists (y: b). FStar.List.Tot.Base.assoc x l == FStar.Pervasives.Native.Some y))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.List.Tot.Base.assoc", "FStar.List.Tot.Properties.memP_map_elim", "FStar.Pervasives.Native.fst", "Prims.unit", "FStar.List.Tot.Properties.mem_memP", "FStar.List.Tot.Base.map", "FStar.List.Tot.Properties.assoc_memP_none", "FSta...
[]
false
false
true
false
false
let assoc_mem (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (ensures (mem x (map fst l) <==> (exists y. assoc x l == Some y))) =
match assoc x l with | None -> assoc_memP_none x l; mem_memP x (map fst l); memP_map_elim fst x l | Some y -> assoc_memP_some x y l; memP_map_intro fst (x, y) l; mem_memP x (map fst l)
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.no_repeats_p_append_intro
val no_repeats_p_append_intro (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))) (ensures (no_repeats_p (l1 `append` l2))) (decreases l1)
val no_repeats_p_append_intro (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))) (ensures (no_repeats_p (l1 `append` l2))) (decreases l1)
let rec no_repeats_p_append_intro (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x . memP x l1 ==> ~ (memP x l2)))) (ensures (no_repeats_p (l1 `append` l2))) (decreases l1) = match l1 with | [] -> () | x :: q1 -> append_memP q1 l2 x; no_repeats_p_append...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 35, "end_line": 759, "start_col": 0, "start_line": 748 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.no_repeats_p l1 /\ FStar.List.Tot.Base.no_repeats_p l2 /\ (forall (x: a). FStar.List.Tot.Base.memP x l1 ==> ~(FStar.List.Tot.Base.memP x l2))) (ensures FStar.List.Tot.Base.no_repeats_p (l1 @ l2)) ...
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.no_repeats_p_append_intro", "Prims.unit", "FStar.List.Tot.Properties.append_memP", "Prims.l_and", "FStar.List.Tot.Base.no_repeats_p", "Prims.l_Forall", "Prims.l_imp", "FStar.List.Tot.Base.memP", "Prims.l_not", "Prims.squash", "FStar.List.Tot.Base.append...
[ "recursion" ]
false
false
true
false
false
let rec no_repeats_p_append_intro (#a: Type) (l1 l2: list a) : Lemma (requires (no_repeats_p l1 /\ no_repeats_p l2 /\ (forall x. memP x l1 ==> ~(memP x l2)))) (ensures (no_repeats_p (l1 `append` l2))) (decreases l1) =
match l1 with | [] -> () | x :: q1 -> append_memP q1 l2 x; no_repeats_p_append_intro q1 l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.assoc_memP_none
val assoc_memP_none (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (requires (assoc x l == None)) (ensures (forall y. ~(memP (x, y) l))) (decreases l)
val assoc_memP_none (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (requires (assoc x l == None)) (ensures (forall y. ~(memP (x, y) l))) (decreases l)
let rec assoc_memP_none (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (requires (assoc x l == None)) (ensures (forall y . ~ (memP (x, y) l))) (decreases l) = match l with | [] -> () | (x', _) :: q -> if x = x' then assert False else assoc_memP_none x q
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 72, "end_line": 894, "start_col": 0, "start_line": 883 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> l: Prims.list (a * b) -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.assoc x l == FStar.Pervasives.Native.None) (ensures forall (y: b). ~(FStar.List.Tot.Base.memP (x, y) l)) (decreases l)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "Prims._assert", "Prims.l_False", "Prims.bool", "FStar.List.Tot.Properties.assoc_memP_none", "Prims.unit", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native...
[ "recursion" ]
false
false
true
false
false
let rec assoc_memP_none (#a: eqtype) (#b: Type) (x: a) (l: list (a * b)) : Lemma (requires (assoc x l == None)) (ensures (forall y. ~(memP (x, y) l))) (decreases l) =
match l with | [] -> () | (x', _) :: q -> if x = x' then assert False else assoc_memP_none x q
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.index_extensionality
val index_extensionality (#a: Type) (l1 l2: list a) : Lemma (requires (length l1 == length l2 /\ (forall (i: nat). i < length l1 ==> index l1 i == index l2 i))) (ensures (l1 == l2))
val index_extensionality (#a: Type) (l1 l2: list a) : Lemma (requires (length l1 == length l2 /\ (forall (i: nat). i < length l1 ==> index l1 i == index l2 i))) (ensures (l1 == l2))
let index_extensionality (#a: Type) (l1 l2: list a) : Lemma (requires (length l1 == length l2 /\ (forall (i: nat) . i < length l1 ==> index l1 i == index l2 i))) (ensures (l1 == l2)) = index_extensionality_aux l1 l2 () (fun i -> ())
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 49, "end_line": 1023, "start_col": 0, "start_line": 1015 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.length l1 == FStar.List.Tot.Base.length l2 /\ (forall (i: Prims.nat). i < FStar.List.Tot.Base.length l1 ==> FStar.List.Tot.Base.index l1 i == FStar.List.Tot.Base.index l2 i)) (ens...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.index_extensionality_aux", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.List.Tot.Base.length", "Prims.unit", "Prims.eq2", "FStar.List.Tot.Base.index", "Prims.l_and", "Prims.l_Forall", "Prims.l_imp", "Prims.squash", "Prims.Nil", "FStar.Per...
[]
false
false
true
false
false
let index_extensionality (#a: Type) (l1 l2: list a) : Lemma (requires (length l1 == length l2 /\ (forall (i: nat). i < length l1 ==> index l1 i == index l2 i))) (ensures (l1 == l2)) =
index_extensionality_aux l1 l2 () (fun i -> ())
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.assoc_memP_some
val assoc_memP_some (#a: eqtype) (#b: Type) (x: a) (y: b) (l: list (a * b)) : Lemma (requires (assoc x l == Some y)) (ensures (memP (x, y) l)) (decreases l)
val assoc_memP_some (#a: eqtype) (#b: Type) (x: a) (y: b) (l: list (a * b)) : Lemma (requires (assoc x l == Some y)) (ensures (memP (x, y) l)) (decreases l)
let rec assoc_memP_some (#a: eqtype) (#b: Type) (x: a) (y: b) (l: list (a * b)) : Lemma (requires (assoc x l == Some y)) (ensures (memP (x, y) l)) (decreases l) = match l with | [] -> () | (x', _) :: q -> if x = x' then () else assoc_memP_some x y q
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 64, "end_line": 881, "start_col": 0, "start_line": 869 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> y: b -> l: Prims.list (a * b) -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.assoc x l == FStar.Pervasives.Native.Some y) (ensures FStar.List.Tot.Base.memP (x, y) l) (decreases l)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "Prims.bool", "FStar.List.Tot.Properties.assoc_memP_some", "Prims.unit", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native.Some", "Prims.squash", "FStar.Lis...
[ "recursion" ]
false
false
true
false
false
let rec assoc_memP_some (#a: eqtype) (#b: Type) (x: a) (y: b) (l: list (a * b)) : Lemma (requires (assoc x l == Some y)) (ensures (memP (x, y) l)) (decreases l) =
match l with | [] -> () | (x', _) :: q -> if x = x' then () else assoc_memP_some x y q
false
Hacl.Bignum.MontExponentiation.fst
Hacl.Bignum.MontExponentiation.bn_exp_mont_fw_consttime
val bn_exp_mont_fw_consttime: #t:limb_t -> k:BM.mont t -> l:size_t{0 < v l /\ v l < bits U32 /\ pow2 (v l) * v k.BM.bn.BN.len <= max_size_t} -> bn_exp_mont_st t k.BM.bn.BN.len
val bn_exp_mont_fw_consttime: #t:limb_t -> k:BM.mont t -> l:size_t{0 < v l /\ v l < bits U32 /\ pow2 (v l) * v k.BM.bn.BN.len <= max_size_t} -> bn_exp_mont_st t k.BM.bn.BN.len
let bn_exp_mont_fw_consttime #t k l n mu r2 aM bBits b resM = push_frame (); let h0 = ST.get () in [@inline_let] let len = k.BM.bn.BN.len in let bLen = blocks0 bBits (size (bits t)) in let k1 = Ghost.hide (E.mk_nat_mont_ll_comm_monoid (bits t) (v len) (bn_v h0 n) (v mu)) in let ctx = create (len +! len) (ui...
{ "file_name": "code/bignum/Hacl.Bignum.MontExponentiation.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 14, "end_line": 278, "start_col": 0, "start_line": 267 }
module Hacl.Bignum.MontExponentiation open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer open Hacl.Bignum.Definitions module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module BD = Hacl.Spec.Bignum.Definitions module SN = Hacl.Spec.Bignum module SM = Hacl.Spec.B...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery...
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Hacl.Impl.Exponentiation", "short_module": "BE" },...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
k: Hacl.Bignum.Montgomery.mont t -> l: Lib.IntTypes.size_t { 0 < Lib.IntTypes.v l /\ Lib.IntTypes.v l < Lib.IntTypes.bits Lib.IntTypes.U32 /\ Prims.pow2 (Lib.IntTypes.v l) * Lib.IntTypes.v (Mkbn?.len (Mkmont?.bn k)) <= Lib.IntTypes.max_size_t } -> Hacl.Bignum.MontExponentiat...
Prims.Tot
[ "total" ]
[]
[ "Hacl.Bignum.Definitions.limb_t", "Hacl.Bignum.Montgomery.mont", "Lib.IntTypes.size_t", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.bits", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Prims.pow2", "Hacl.Bignu...
[]
false
false
false
false
false
let bn_exp_mont_fw_consttime #t k l n mu r2 aM bBits b resM =
push_frame (); let h0 = ST.get () in [@@ inline_let ]let len = k.BM.bn.BN.len in let bLen = blocks0 bBits (size (bits t)) in let k1 = Ghost.hide (E.mk_nat_mont_ll_comm_monoid (bits t) (v len) (bn_v h0 n) (v mu)) in let ctx = create (len +! len) (uint #t #SEC 0) in mk_ctx #t len n r2 ctx; BE.lexp_fw_consttime len (len +...
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.strict_suffix_of_nil
val strict_suffix_of_nil (#a: Type) (x: a) (l: list a) : Lemma (requires True) (ensures (strict_suffix_of [] (x :: l))) (decreases l)
val strict_suffix_of_nil (#a: Type) (x: a) (l: list a) : Lemma (requires True) (ensures (strict_suffix_of [] (x :: l))) (decreases l)
let rec strict_suffix_of_nil (#a: Type) (x: a) (l: list a) : Lemma (requires True) (ensures (strict_suffix_of [] (x::l))) (decreases l) = match l with | [] -> () | a' :: q -> strict_suffix_of_nil a' q
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 40, "end_line": 1034, "start_col": 0, "start_line": 1027 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
x: a -> l: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.strict_suffix_of [] (x :: l)) (decreases l)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.strict_suffix_of_nil", "Prims.unit", "Prims.l_True", "Prims.squash", "FStar.List.Tot.Base.strict_suffix_of", "Prims.Nil", "Prims.Cons", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec strict_suffix_of_nil (#a: Type) (x: a) (l: list a) : Lemma (requires True) (ensures (strict_suffix_of [] (x :: l))) (decreases l) =
match l with | [] -> () | a' :: q -> strict_suffix_of_nil a' q
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.fold_left_append_monoid
val fold_left_append_monoid (#a: Type) (f: (a -> a -> Tot a)) (z: a) (l1 l2: list a) : Lemma (requires (forall u v w. f u (f v w) == f (f u v) w) /\ (forall x. f x z == x) /\ (forall x. f z x == x)) (ensures fold_left f z (l1 @ l2) == f (fold_left f z l1) (fold_left f z l2))
val fold_left_append_monoid (#a: Type) (f: (a -> a -> Tot a)) (z: a) (l1 l2: list a) : Lemma (requires (forall u v w. f u (f v w) == f (f u v) w) /\ (forall x. f x z == x) /\ (forall x. f z x == x)) (ensures fold_left f z (l1 @ l2) == f (fold_left f z l1) (fold_left f z l2))
let fold_left_append_monoid (#a: Type) (f: (a -> a -> Tot a)) (z: a) (l1 l2: list a) : Lemma (requires (forall u v w . f u (f v w) == f (f u v) w) /\ (forall x . f x z == x) /\ (forall x . f z x == x)) (ensures fold_left f z (l1 @ l2) == f (fold_left f z l1) (fold_left f z l2)) = fold_left_a...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 25, "end_line": 994, "start_col": 0, "start_line": 981 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> _: a -> a) -> z: a -> l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (requires (forall (u905: a) (v: a) (w: a). f u905 (f v w) == f (f u905 v) w) /\ (forall (x: a). f x z == x) /\ (forall (x: a). f z x == x)) (ensures FStar.List.Tot.Base.fold_left f z (l...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.fold_left_monoid", "Prims.unit", "FStar.List.Tot.Properties.fold_left_append", "Prims.l_and", "Prims.l_Forall", "Prims.eq2", "Prims.squash", "FStar.List.Tot.Base.fold_left", "FStar.List.Tot.Base.op_At", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let fold_left_append_monoid (#a: Type) (f: (a -> a -> Tot a)) (z: a) (l1 l2: list a) : Lemma (requires (forall u v w. f u (f v w) == f (f u v) w) /\ (forall x. f x z == x) /\ (forall x. f z x == x)) (ensures fold_left f z (l1 @ l2) == f (fold_left f z l1) (fold_left f z l2)) =
fold_left_append f l1 l2; fold_left_monoid f z l2
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.fold_left_monoid
val fold_left_monoid (#a: Type) (opA: (a -> a -> Tot a)) (zeroA: a) (l: list a) : Lemma (requires (forall u v w. (u `opA` (v `opA` w)) == ((u `opA` v) `opA` w)) /\ (forall x. (x `opA` zeroA) == x) /\ (forall x. (zeroA `opA` x) == x)) (ensures forall x. (fold_left opA x l) == (x `opA` (fo...
val fold_left_monoid (#a: Type) (opA: (a -> a -> Tot a)) (zeroA: a) (l: list a) : Lemma (requires (forall u v w. (u `opA` (v `opA` w)) == ((u `opA` v) `opA` w)) /\ (forall x. (x `opA` zeroA) == x) /\ (forall x. (zeroA `opA` x) == x)) (ensures forall x. (fold_left opA x l) == (x `opA` (fo...
let rec fold_left_monoid (#a: Type) (opA: (a -> a -> Tot a)) (zeroA: a) (l: list a) : Lemma (requires (forall u v w . (u `opA` (v `opA` w)) == ((u `opA` v) `opA` w)) /\ (forall x . (x `opA` zeroA) == x) /\ (forall x . (zeroA `opA` x) == x)) (ensures forall x . (fold_left opA x l) == (x `...
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 42, "end_line": 979, "start_col": 0, "start_line": 964 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
opA: (_: a -> _: a -> a) -> zeroA: a -> l: Prims.list a -> FStar.Pervasives.Lemma (requires (forall (u890: a) (v: a) (w: a). opA u890 (opA v w) == opA (opA u890 v) w) /\ (forall (x: a). opA x zeroA == x) /\ (forall (x: a). opA zeroA x == x)) (ensures forall (x: a). FStar....
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.fold_left_monoid", "Prims.unit", "Prims.l_and", "Prims.l_Forall", "Prims.eq2", "Prims.squash", "FStar.List.Tot.Base.fold_left", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec fold_left_monoid (#a: Type) (opA: (a -> a -> Tot a)) (zeroA: a) (l: list a) : Lemma (requires (forall u v w. (u `opA` (v `opA` w)) == ((u `opA` v) `opA` w)) /\ (forall x. (x `opA` zeroA) == x) /\ (forall x. (zeroA `opA` x) == x)) (ensures forall x. (fold_left opA x l) == (x `opA`...
match l with | [] -> () | x :: q -> fold_left_monoid opA zeroA q
false
FStar.List.Tot.Properties.fst
FStar.List.Tot.Properties.map_append
val map_append (#a #b: Type) (f: (a -> Tot b)) (l1 l2: list a) : Lemma (ensures map f (l1 @ l2) == map f l1 @ map f l2)
val map_append (#a #b: Type) (f: (a -> Tot b)) (l1 l2: list a) : Lemma (ensures map f (l1 @ l2) == map f l1 @ map f l2)
let rec map_append (#a #b: Type) (f: a -> Tot b) (l1 l2: list a) : Lemma (ensures map f (l1 @ l2) == map f l1 @ map f l2) = match l1 with | [] -> () | x :: q -> map_append f q l2
{ "file_name": "ulib/FStar.List.Tot.Properties.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 31, "end_line": 952, "start_col": 0, "start_line": 942 }
(* Copyright 2008-2014 Nikhil Swamy and Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by appli...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.StrongExcludedMiddle.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.Classical.Sugar.fsti.checked", "FStar.Classical.fsti.checked" ], "...
[ { "abbrev": false, "full_module": "FStar.List.Tot.Base", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_mo...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_el...
false
f: (_: a -> b) -> l1: Prims.list a -> l2: Prims.list a -> FStar.Pervasives.Lemma (ensures FStar.List.Tot.Base.map f (l1 @ l2) == FStar.List.Tot.Base.map f l1 @ FStar.List.Tot.Base.map f l2)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "FStar.List.Tot.Properties.map_append", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.List.Tot.Base.map", "FStar.List.Tot.Base.op_At", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec map_append (#a #b: Type) (f: (a -> Tot b)) (l1 l2: list a) : Lemma (ensures map f (l1 @ l2) == map f l1 @ map f l2) =
match l1 with | [] -> () | x :: q -> map_append f q l2
false