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FStar.UInt128.fst
FStar.UInt128.u64_l32_mask
val u64_l32_mask:x: U64.t{U64.v x == pow2 32 - 1}
val u64_l32_mask:x: U64.t{U64.v x == pow2 32 - 1}
let u64_l32_mask: x:U64.t{U64.v x == pow2 32 - 1} = U64.uint_to_t 0xffffffff
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 76, "end_line": 899, "start_col": 0, "start_line": 899 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t{FStar.UInt64.v x == Prims.pow2 32 - 1}
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.uint_to_t" ]
[]
false
false
false
false
false
let u64_l32_mask:x: U64.t{U64.v x == pow2 32 - 1} =
U64.uint_to_t 0xffffffff
false
FStar.UInt128.fst
FStar.UInt128.u64_mod_32
val u64_mod_32 (a: U64.t) : Pure U64.t (requires True) (ensures (fun r -> U64.v r = U64.v a % pow2 32))
val u64_mod_32 (a: U64.t) : Pure U64.t (requires True) (ensures (fun r -> U64.v r = U64.v a % pow2 32))
let u64_mod_32 (a: U64.t) : Pure U64.t (requires True) (ensures (fun r -> U64.v r = U64.v a % pow2 32)) = UInt.logand_mask (U64.v a) 32; U64.logand a u64_l32_mask
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 27, "end_line": 905, "start_col": 0, "start_line": 901 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: FStar.UInt64.t -> Prims.Pure FStar.UInt64.t
Prims.Pure
[]
[]
[ "FStar.UInt64.t", "FStar.UInt64.logand", "FStar.UInt128.u64_l32_mask", "Prims.unit", "FStar.UInt.logand_mask", "FStar.UInt64.n", "FStar.UInt64.v", "Prims.l_True", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.op_Modulus", "Prims.pow2" ]
[]
false
false
false
false
false
let u64_mod_32 (a: U64.t) : Pure U64.t (requires True) (ensures (fun r -> U64.v r = U64.v a % pow2 32)) =
UInt.logand_mask (U64.v a) 32; U64.logand a u64_l32_mask
false
FStar.UInt128.fst
FStar.UInt128.plh
val plh (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1}
val plh (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1}
let plh (x y: U64.t) : n:UInt.uint_t 64{n < pow2 64 - pow2 32 - 1} = mul32_bound (l32 (U64.v x)) (h32 (U64.v y))
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 45, "end_line": 979, "start_col": 0, "start_line": 978 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> n: FStar.UInt.uint_t 64 {n < Prims.pow2 64 - Prims.pow2 32 - 1}
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.mul32_bound", "FStar.UInt128.l32", "FStar.UInt64.v", "FStar.UInt128.h32", "FStar.UInt.uint_t", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Subtraction", "Prims.pow2" ]
[]
false
false
false
false
false
let plh (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1} =
mul32_bound (l32 (U64.v x)) (h32 (U64.v y))
false
FStar.UInt128.fst
FStar.UInt128.mul_wide_low
val mul_wide_low : x: FStar.UInt64.t -> y: FStar.UInt64.t -> Prims.int
let mul_wide_low (x y: U64.t) = (plh x y + (phl x y + pll_h x y) % pow2 32) * pow2 32 % pow2 64 + pll_l x y
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 107, "end_line": 990, "start_col": 0, "start_line": 990 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> Prims.int
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.t", "Prims.op_Addition", "Prims.op_Modulus", "FStar.Mul.op_Star", "FStar.UInt128.plh", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "Prims.pow2", "FStar.UInt128.pll_l", "Prims.int" ]
[]
false
false
false
true
false
let mul_wide_low (x y: U64.t) =
(plh x y + (phl x y + pll_h x y) % pow2 32) * pow2 32 % pow2 64 + pll_l x y
false
FStar.UInt128.fst
FStar.UInt128.phl
val phl (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1}
val phl (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1}
let phl (x y: U64.t) : n:UInt.uint_t 64{n < pow2 64 - pow2 32 - 1} = mul32_bound (h32 (U64.v x)) (l32 (U64.v y))
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 45, "end_line": 981, "start_col": 0, "start_line": 980 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> n: FStar.UInt.uint_t 64 {n < Prims.pow2 64 - Prims.pow2 32 - 1}
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.mul32_bound", "FStar.UInt128.h32", "FStar.UInt64.v", "FStar.UInt128.l32", "FStar.UInt.uint_t", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Subtraction", "Prims.pow2" ]
[]
false
false
false
false
false
let phl (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1} =
mul32_bound (h32 (U64.v x)) (l32 (U64.v y))
false
FStar.UInt128.fst
FStar.UInt128.pll
val pll (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1}
val pll (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1}
let pll (x y: U64.t) : n:UInt.uint_t 64{n < pow2 64 - pow2 32 - 1} = mul32_bound (l32 (U64.v x)) (l32 (U64.v y))
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 45, "end_line": 977, "start_col": 0, "start_line": 976 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> n: FStar.UInt.uint_t 64 {n < Prims.pow2 64 - Prims.pow2 32 - 1}
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.mul32_bound", "FStar.UInt128.l32", "FStar.UInt64.v", "FStar.UInt.uint_t", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Subtraction", "Prims.pow2" ]
[]
false
false
false
false
false
let pll (x y: U64.t) : n: UInt.uint_t 64 {n < pow2 64 - pow2 32 - 1} =
mul32_bound (l32 (U64.v x)) (l32 (U64.v y))
false
FStar.UInt128.fst
FStar.UInt128.product_bound
val product_bound (a b: nat) (k: pos) : Lemma (requires (a < k /\ b < k)) (ensures a * b <= k * k - 2 * k + 1)
val product_bound (a b: nat) (k: pos) : Lemma (requires (a < k /\ b < k)) (ensures a * b <= k * k - 2 * k + 1)
let product_bound (a b:nat) (k:pos) : Lemma (requires (a < k /\ b < k)) (ensures a * b <= k * k - 2*k + 1) = Math.lemma_mult_le_right b a (k-1); Math.lemma_mult_le_left (k-1) b (k-1)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 927, "start_col": 0, "start_line": 923 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: Prims.nat -> b: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (requires a < k /\ b < k) (ensures a * b <= k * k - 2 * k + 1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.Math.Lemmas.lemma_mult_le_left", "Prims.op_Subtraction", "Prims.unit", "FStar.Math.Lemmas.lemma_mult_le_right", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Prims.squash", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Prims.op_Addition", "Prims.Nil...
[]
true
false
true
false
false
let product_bound (a b: nat) (k: pos) : Lemma (requires (a < k /\ b < k)) (ensures a * b <= k * k - 2 * k + 1) =
Math.lemma_mult_le_right b a (k - 1); Math.lemma_mult_le_left (k - 1) b (k - 1)
false
FStar.UInt128.fst
FStar.UInt128.u32_product_bound
val u32_product_bound : a:nat{a < pow2 32} -> b:nat{b < pow2 32} -> Lemma (UInt.size (a * b) 64 /\ a * b < pow2 64 - pow2 32 - 1)
val u32_product_bound : a:nat{a < pow2 32} -> b:nat{b < pow2 32} -> Lemma (UInt.size (a * b) 64 /\ a * b < pow2 64 - pow2 32 - 1)
let u32_product_bound a b = uint_product_bound #32 a b
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 28, "end_line": 938, "start_col": 0, "start_line": 937 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: Prims.nat{a < Prims.pow2 32} -> b: Prims.nat{b < Prims.pow2 32} -> FStar.Pervasives.Lemma (ensures FStar.UInt.size (a * b) 64 /\ a * b < Prims.pow2 64 - Prims.pow2 32 - 1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Prims.pow2", "FStar.UInt128.uint_product_bound", "Prims.unit" ]
[]
true
false
true
false
false
let u32_product_bound a b =
uint_product_bound #32 a b
false
FStar.UInt128.fst
FStar.UInt128.u64_32_digits
val u64_32_digits (a: U64.t) : Lemma ((U64.v a / pow2 32) * pow2 32 + U64.v a % pow2 32 == U64.v a)
val u64_32_digits (a: U64.t) : Lemma ((U64.v a / pow2 32) * pow2 32 + U64.v a % pow2 32 == U64.v a)
let u64_32_digits (a: U64.t) : Lemma (U64.v a / pow2 32 * pow2 32 + U64.v a % pow2 32 == U64.v a) = div_mod (U64.v a) (pow2 32)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 29, "end_line": 908, "start_col": 0, "start_line": 907 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures (FStar.UInt64.v a / Prims.pow2 32) * Prims.pow2 32 + FStar.UInt64.v a % Prims.pow2 32 == FStar.UInt64.v a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.div_mod", "FStar.UInt64.v", "Prims.pow2", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "Prims.int", "Prims.op_Addition", "FStar.Mul.op_Star", "Prims.op_Division", "Prims.op_Modulus", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let u64_32_digits (a: U64.t) : Lemma ((U64.v a / pow2 32) * pow2 32 + U64.v a % pow2 32 == U64.v a) =
div_mod (U64.v a) (pow2 32)
false
FStar.UInt128.fst
FStar.UInt128.gte_mask
val gte_mask: a:t -> b:t -> Tot (c:t{(v a >= v b ==> v c = pow2 n - 1) /\ (v a < v b ==> v c = 0)})
val gte_mask: a:t -> b:t -> Tot (c:t{(v a >= v b ==> v c = pow2 n - 1) /\ (v a < v b ==> v c = 0)})
let gte_mask (a b: t) : Pure t (requires True) (ensures (fun r -> (v a >= v b ==> v r = pow2 128 - 1) /\ (v a < v b ==> v r = 0))) = let mask_hi_gte = U64.logand (U64.gte_mask a.high b.high) (U64.lognot (U64.eq_mask a.high b.high)) in let mask_lo_gte = U64.logand (U64.eq_mask a.hi...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 892, "start_col": 0, "start_line": 882 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: FStar.UInt128.t -> b: FStar.UInt128.t -> c: FStar.UInt128.t { (FStar.UInt128.v a >= FStar.UInt128.v b ==> FStar.UInt128.v c = Prims.pow2 FStar.UInt128.n - 1) /\ (FStar.UInt128.v a < FStar.UInt128.v b ==> FStar.UInt128.v c = 0) }
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt128.t", "FStar.UInt128.Mkuint128", "Prims.unit", "FStar.UInt128.lt_characterization", "FStar.UInt128.gte_characterization", "FStar.UInt64.t", "FStar.UInt64.logor", "FStar.UInt64.logand", "FStar.UInt64.eq_mask", "FStar.UInt128.__proj__Mkuint128__item__high", "FStar.UInt64.gte_mask", ...
[]
false
false
false
false
false
let gte_mask (a b: t) : Pure t (requires True) (ensures (fun r -> (v a >= v b ==> v r = pow2 128 - 1) /\ (v a < v b ==> v r = 0))) =
let mask_hi_gte = U64.logand (U64.gte_mask a.high b.high) (U64.lognot (U64.eq_mask a.high b.high)) in let mask_lo_gte = U64.logand (U64.eq_mask a.high b.high) (U64.gte_mask a.low b.low) in let mask = U64.logor mask_hi_gte mask_lo_gte in gte_characterization a b; lt_characterization a b; { low = mask; high = mask }
false
FStar.UInt128.fst
FStar.UInt128.u32_combine
val u32_combine (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = (U64.v hi % pow2 32) * pow2 32 + U64.v lo))
val u32_combine (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = (U64.v hi % pow2 32) * pow2 32 + U64.v lo))
let u32_combine (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = U64.v hi % pow2 32 * pow2 32 + U64.v lo)) = U64.add lo (U64.shift_left hi u32_32)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 920, "start_col": 0, "start_line": 917 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
hi: FStar.UInt64.t -> lo: FStar.UInt64.t -> Prims.Pure FStar.UInt64.t
Prims.Pure
[]
[]
[ "FStar.UInt64.t", "FStar.UInt64.add", "FStar.UInt64.shift_left", "FStar.UInt128.u32_32", "Prims.b2t", "Prims.op_LessThan", "FStar.UInt64.v", "Prims.pow2", "Prims.op_Equality", "Prims.int", "Prims.op_Addition", "FStar.Mul.op_Star", "Prims.op_Modulus" ]
[]
false
false
false
false
false
let u32_combine (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = (U64.v hi % pow2 32) * pow2 32 + U64.v lo)) =
U64.add lo (U64.shift_left hi u32_32)
false
FStar.UInt128.fst
FStar.UInt128.mul_wide_high
val mul_wide_high : x: FStar.UInt64.t -> y: FStar.UInt64.t -> Prims.int
let mul_wide_high (x y: U64.t) = phh x y + (phl x y + pll_h x y) / pow2 32 + (plh x y + (phl x y + pll_h x y) % pow2 32) / pow2 32
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 57, "end_line": 995, "start_col": 0, "start_line": 992 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> Prims.int
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.t", "Prims.op_Addition", "FStar.UInt128.phh", "Prims.op_Division", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "Prims.pow2", "FStar.UInt128.plh", "Prims.op_Modulus", "Prims.int" ]
[]
false
false
false
true
false
let mul_wide_high (x y: U64.t) =
phh x y + (phl x y + pll_h x y) / pow2 32 + (plh x y + (phl x y + pll_h x y) % pow2 32) / pow2 32
false
FStar.UInt128.fst
FStar.UInt128.u32_32
val u32_32:x: U32.t{U32.v x == 32}
val u32_32:x: U32.t{U32.v x == 32}
let u32_32 : x:U32.t{U32.v x == 32} = U32.uint_to_t 32
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 54, "end_line": 914, "start_col": 0, "start_line": 914 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt32.t{FStar.UInt32.v x == 32}
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt32.uint_to_t" ]
[]
false
false
false
false
false
let u32_32:x: U32.t{U32.v x == 32} =
U32.uint_to_t 32
false
FStar.UInt128.fst
FStar.UInt128.uint_product_bound
val uint_product_bound : #n:nat -> a:UInt.uint_t n -> b:UInt.uint_t n -> Lemma (a * b <= pow2 (2*n) - 2*(pow2 n) + 1)
val uint_product_bound : #n:nat -> a:UInt.uint_t n -> b:UInt.uint_t n -> Lemma (a * b <= pow2 (2*n) - 2*(pow2 n) + 1)
let uint_product_bound #n a b = product_bound a b (pow2 n); Math.pow2_plus n n
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 20, "end_line": 933, "start_col": 0, "start_line": 931 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: FStar.UInt.uint_t n -> b: FStar.UInt.uint_t n -> FStar.Pervasives.Lemma (ensures a * b <= Prims.pow2 (2 * n) - 2 * Prims.pow2 n + 1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "FStar.UInt.uint_t", "FStar.Math.Lemmas.pow2_plus", "Prims.unit", "FStar.UInt128.product_bound", "Prims.pow2" ]
[]
true
false
true
false
false
let uint_product_bound #n a b =
product_bound a b (pow2 n); Math.pow2_plus n n
false
FStar.UInt128.fst
FStar.UInt128.u32_combine'
val u32_combine' (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = U64.v hi * pow2 32 % pow2 64 + U64.v lo))
val u32_combine' (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = U64.v hi * pow2 32 % pow2 64 + U64.v lo))
let u32_combine' (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = U64.v hi * pow2 32 % pow2 64 + U64.v lo)) = U64.add lo (U64.shift_left hi u32_32)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 1024, "start_col": 0, "start_line": 1021 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
hi: FStar.UInt64.t -> lo: FStar.UInt64.t -> Prims.Pure FStar.UInt64.t
Prims.Pure
[]
[]
[ "FStar.UInt64.t", "FStar.UInt64.add", "FStar.UInt64.shift_left", "FStar.UInt128.u32_32", "Prims.b2t", "Prims.op_LessThan", "FStar.UInt64.v", "Prims.pow2", "Prims.op_Equality", "Prims.int", "Prims.op_Addition", "Prims.op_Modulus", "FStar.Mul.op_Star" ]
[]
false
false
false
false
false
let u32_combine' (hi lo: U64.t) : Pure U64.t (requires (U64.v lo < pow2 32)) (ensures (fun r -> U64.v r = U64.v hi * pow2 32 % pow2 64 + U64.v lo)) =
U64.add lo (U64.shift_left hi u32_32)
false
FStar.UInt128.fst
FStar.UInt128.u64_32_product
val u64_32_product (xl xh yl yh:UInt.uint_t 32) : Lemma ((xl + xh * pow2 32) * (yl + yh * pow2 32) == xl * yl + (xl * yh) * pow2 32 + (xh * yl) * pow2 32 + (xh * yh) * pow2 64)
val u64_32_product (xl xh yl yh:UInt.uint_t 32) : Lemma ((xl + xh * pow2 32) * (yl + yh * pow2 32) == xl * yl + (xl * yh) * pow2 32 + (xh * yl) * pow2 32 + (xh * yh) * pow2 64)
let u64_32_product xl xh yl yh = assert (xh >= 0); //flakiness; without this, can't prove that (xh * pow2 32) >= 0 assert (pow2 32 >= 0); //flakiness; without this, can't prove that (xh * pow2 32) >= 0 assert (xh*pow2 32 >= 0); product_sums xl (xh*pow2 32) yl (yh*pow2 32); mul_abc_to_acb xh (pow2 32) yl; as...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 65, "end_line": 1068, "start_col": 0, "start_line": 1060 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
xl: FStar.UInt.uint_t 32 -> xh: FStar.UInt.uint_t 32 -> yl: FStar.UInt.uint_t 32 -> yh: FStar.UInt.uint_t 32 -> FStar.Pervasives.Lemma (ensures (xl + xh * Prims.pow2 32) * (yl + yh * Prims.pow2 32) == xl * yl + (xl * yh) * Prims.pow2 32 + (xh * yl) * Prims.pow2 32 + (xh * yh) * Prims....
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt.uint_t", "Prims._assert", "Prims.eq2", "Prims.int", "FStar.Mul.op_Star", "Prims.pow2", "Prims.unit", "FStar.Math.Lemmas.pow2_plus", "FStar.UInt128.mul_abc_to_acb", "FStar.UInt128.product_sums", "Prims.b2t", "Prims.op_GreaterThanOrEqual" ]
[]
true
false
true
false
false
let u64_32_product xl xh yl yh =
assert (xh >= 0); assert (pow2 32 >= 0); assert (xh * pow2 32 >= 0); product_sums xl (xh * pow2 32) yl (yh * pow2 32); mul_abc_to_acb xh (pow2 32) yl; assert (xl * (yh * pow2 32) == (xl * yh) * pow2 32); Math.pow2_plus 32 32; assert ((xh * pow2 32) * (yh * pow2 32) == (xh * yh) * pow2 64)
false
FStar.UInt128.fst
FStar.UInt128.product_expand
val product_expand (x y: U64.t) : Lemma (U64.v x * U64.v y == phh x y * pow2 64 + (plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y)
val product_expand (x y: U64.t) : Lemma (U64.v x * U64.v y == phh x y * pow2 64 + (plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y)
let product_expand (x y: U64.t) : Lemma (U64.v x * U64.v y == phh x y * pow2 64 + (plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) = assert (U64.v x == l32 (U64.v x) + h32 (U64.v x) * pow2 32); assert (U64.v y == l32 (U64.v y) + h32 (U64.v y) * pow...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 80, "end_line": 1077, "start_col": 0, "start_line": 1071 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures FStar.UInt64.v x * FStar.UInt64.v y == FStar.UInt128.phh x y * Prims.pow2 64 + (FStar.UInt128.plh x y + FStar.UInt128.phl x y + FStar.UInt128.pll_h x y) * Prims.pow2 32 + FStar.UInt128.pll_l x y)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.u64_32_product", "FStar.UInt128.l32", "FStar.UInt64.v", "FStar.UInt128.h32", "Prims.unit", "Prims._assert", "Prims.eq2", "Prims.int", "Prims.op_Addition", "FStar.Mul.op_Star", "Prims.pow2", "Prims.l_True", "Prims.squash", "FStar.UInt128.phh", "FStar.UIn...
[]
true
false
true
false
false
let product_expand (x y: U64.t) : Lemma (U64.v x * U64.v y == phh x y * pow2 64 + (plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) =
assert (U64.v x == l32 (U64.v x) + h32 (U64.v x) * pow2 32); assert (U64.v y == l32 (U64.v y) + h32 (U64.v y) * pow2 32); u64_32_product (l32 (U64.v x)) (h32 (U64.v x)) (l32 (U64.v y)) (h32 (U64.v y))
false
FStar.UInt128.fst
FStar.UInt128.add_mod_then_mod
val add_mod_then_mod (n m: nat) (k: pos) : Lemma ((n + m % k) % k == (n + m) % k)
val add_mod_then_mod (n m: nat) (k: pos) : Lemma ((n + m % k) % k == (n + m) % k)
let add_mod_then_mod (n m:nat) (k:pos) : Lemma ((n + m % k) % k == (n + m) % k) = mod_add n m k; mod_add n (m % k) k; mod_double m k
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 16, "end_line": 1089, "start_col": 0, "start_line": 1085 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
n: Prims.nat -> m: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures (n + m % k) % k == (n + m) % k)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.UInt128.mod_double", "Prims.unit", "FStar.UInt128.mod_add", "Prims.op_Modulus", "Prims.l_True", "Prims.squash", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let add_mod_then_mod (n m: nat) (k: pos) : Lemma ((n + m % k) % k == (n + m) % k) =
mod_add n m k; mod_add n (m % k) k; mod_double m k
false
FStar.UInt128.fst
FStar.UInt128.mul_wide_impl_t'
val mul_wide_impl_t' (x y: U64.t) : Pure (tuple4 U64.t U64.t U64.t U64.t) (requires True) (ensures (fun r -> let u1, w3, x', t' = r in U64.v u1 == U64.v x % pow2 32 /\ U64.v w3 == pll_l x y /\ U64.v x' == h32 (U64.v x) /\ U64.v t' == phl x y + pll_h x y))
val mul_wide_impl_t' (x y: U64.t) : Pure (tuple4 U64.t U64.t U64.t U64.t) (requires True) (ensures (fun r -> let u1, w3, x', t' = r in U64.v u1 == U64.v x % pow2 32 /\ U64.v w3 == pll_l x y /\ U64.v x' == h32 (U64.v x) /\ U64.v t' == phl x y + pll_h x y))
let mul_wide_impl_t' (x y: U64.t) : Pure (tuple4 U64.t U64.t U64.t U64.t) (requires True) (ensures (fun r -> let (u1, w3, x', t') = r in U64.v u1 == U64.v x % pow2 32 /\ U64.v w3 == pll_l x y /\ U64.v x' == h32 (U64.v x) /\ U64.v t' == phl x y + pll_h x y)) = let u1 = u64_mod_32 x in let v1 = u6...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 18, "end_line": 1018, "start_col": 0, "start_line": 998 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> Prims.Pure (((FStar.UInt64.t * FStar.UInt64.t) * FStar.UInt64.t) * FStar.UInt64.t)
Prims.Pure
[]
[]
[ "FStar.UInt64.t", "FStar.Pervasives.Native.Mktuple4", "FStar.UInt64.add", "FStar.UInt64.mul", "Prims.unit", "FStar.UInt128.u32_product_bound", "FStar.UInt64.v", "Prims._assert", "Prims.eq2", "Prims.int", "Prims.l_or", "FStar.UInt.size", "FStar.UInt64.n", "FStar.UInt128.h32", "FStar.UInt6...
[]
false
false
false
false
false
let mul_wide_impl_t' (x y: U64.t) : Pure (tuple4 U64.t U64.t U64.t U64.t) (requires True) (ensures (fun r -> let u1, w3, x', t' = r in U64.v u1 == U64.v x % pow2 32 /\ U64.v w3 == pll_l x y /\ U64.v x' == h32 (U64.v x) /\ U64.v t' == phl x y + pll_h x y)) =
let u1 = u64_mod_32 x in let v1 = u64_mod_32 y in u32_product_bound (U64.v u1) (U64.v v1); let t = U64.mul u1 v1 in assert (U64.v t == pll x y); let w3 = u64_mod_32 t in assert (U64.v w3 == pll_l x y); let k = U64.shift_right t u32_32 in assert (U64.v k == pll_h x y); let x' = U64.shift_right x u32_32 in assert (U64.v ...
false
FStar.UInt128.fst
FStar.UInt128.mul_wide_impl
val mul_wide_impl (x y: U64.t) : Tot (r: t{U64.v r.low == mul_wide_low x y /\ U64.v r.high == mul_wide_high x y % pow2 64})
val mul_wide_impl (x y: U64.t) : Tot (r: t{U64.v r.low == mul_wide_low x y /\ U64.v r.high == mul_wide_high x y % pow2 64})
let mul_wide_impl (x: U64.t) (y: U64.t) : Tot (r:t{U64.v r.low == mul_wide_low x y /\ U64.v r.high == mul_wide_high x y % pow2 64}) = let (u1, w3, x', t') = mul_wide_impl_t' x y in let k' = u64_mod_32 t' in let w1 = U64.shift_right t' u32_32 in assert (U64.v w1 == (phl x y + pll_h x y) / pow2 3...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 3, "end_line": 1051, "start_col": 0, "start_line": 1027 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> r: FStar.UInt128.t { FStar.UInt64.v (Mkuint128?.low r) == FStar.UInt128.mul_wide_low x y /\ FStar.UInt64.v (Mkuint128?.high r) == FStar.UInt128.mul_wide_high x y % Prims.pow2 64 }
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.uint128", "FStar.UInt128.Mkuint128", "Prims.unit", "Prims._assert", "Prims.eq2", "Prims.int", "FStar.UInt64.v", "Prims.op_Modulus", "Prims.op_Addition", "FStar.UInt128.phh", "Prims.op_Division", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "Prims.pow2", ...
[]
false
false
false
false
false
let mul_wide_impl (x y: U64.t) : Tot (r: t{U64.v r.low == mul_wide_low x y /\ U64.v r.high == mul_wide_high x y % pow2 64}) =
let u1, w3, x', t' = mul_wide_impl_t' x y in let k' = u64_mod_32 t' in let w1 = U64.shift_right t' u32_32 in assert (U64.v w1 == (phl x y + pll_h x y) / pow2 32); let y' = U64.shift_right y u32_32 in assert (U64.v y' == h32 (U64.v y)); u32_product_bound (U64.v u1) (U64.v y'); let t'' = U64.add (U64.mul u1 y') k' in ass...
false
FStar.UInt128.fst
FStar.UInt128.mod_spec_multiply
val mod_spec_multiply : n:nat -> k:pos -> Lemma ((n - n%k) / k * k == n - n%k)
val mod_spec_multiply : n:nat -> k:pos -> Lemma ((n - n%k) / k * k == n - n%k)
let mod_spec_multiply n k = Math.lemma_mod_spec2 n k
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 26, "end_line": 1135, "start_col": 0, "start_line": 1134 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
n: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures ((n - n % k) / k) * k == n - n % k)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.Math.Lemmas.lemma_mod_spec2", "Prims.unit" ]
[]
true
false
true
false
false
let mod_spec_multiply n k =
Math.lemma_mod_spec2 n k
false
FStar.UInt128.fst
FStar.UInt128.shift_add
val shift_add (n: nat) (m: nat{m < pow2 32}) : Lemma (n * pow2 32 % pow2 64 + m == (n * pow2 32 + m) % pow2 64)
val shift_add (n: nat) (m: nat{m < pow2 32}) : Lemma (n * pow2 32 % pow2 64 + m == (n * pow2 32 + m) % pow2 64)
let shift_add (n:nat) (m:nat{m < pow2 32}) : Lemma (n * pow2 32 % pow2 64 + m == (n * pow2 32 + m) % pow2 64) = add_mod_small' m (n*pow2 32) (pow2 64)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 40, "end_line": 1093, "start_col": 0, "start_line": 1091 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
n: Prims.nat -> m: Prims.nat{m < Prims.pow2 32} -> FStar.Pervasives.Lemma (ensures n * Prims.pow2 32 % Prims.pow2 64 + m == (n * Prims.pow2 32 + m) % Prims.pow2 64)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Prims.pow2", "FStar.UInt128.add_mod_small'", "FStar.Mul.op_Star", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "Prims.int", "Prims.op_Addition", "Prims.op_Modulus", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let shift_add (n: nat) (m: nat{m < pow2 32}) : Lemma (n * pow2 32 % pow2 64 + m == (n * pow2 32 + m) % pow2 64) =
add_mod_small' m (n * pow2 32) (pow2 64)
false
FStar.UInt128.fst
FStar.UInt128.mul_wide_low_ok
val mul_wide_low_ok (x y: U64.t) : Lemma (mul_wide_low x y == (U64.v x * U64.v y) % pow2 64)
val mul_wide_low_ok (x y: U64.t) : Lemma (mul_wide_low x y == (U64.v x * U64.v y) % pow2 64)
let mul_wide_low_ok (x y: U64.t) : Lemma (mul_wide_low x y == (U64.v x * U64.v y) % pow2 64) = Math.pow2_plus 32 32; mod_mul (plh x y + (phl x y + pll_h x y) % pow2 32) (pow2 32) (pow2 32); assert (mul_wide_low x y == (plh x y + (phl x y + pll_h x y) % pow2 32) % pow2 32 * pow2 32 + pll_l x y); add_...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 24, "end_line": 1106, "start_col": 0, "start_line": 1095 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures FStar.UInt128.mul_wide_low x y == FStar.UInt64.v x * FStar.UInt64.v y % Prims.pow2 64)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.product_low_expand", "Prims.unit", "Prims._assert", "Prims.eq2", "Prims.int", "FStar.UInt128.mul_wide_low", "Prims.op_Modulus", "Prims.op_Addition", "FStar.Mul.op_Star", "FStar.UInt128.plh", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "Prims.pow2", "FStar...
[]
true
false
true
false
false
let mul_wide_low_ok (x y: U64.t) : Lemma (mul_wide_low x y == (U64.v x * U64.v y) % pow2 64) =
Math.pow2_plus 32 32; mod_mul (plh x y + (phl x y + pll_h x y) % pow2 32) (pow2 32) (pow2 32); assert (mul_wide_low x y == ((plh x y + (phl x y + pll_h x y) % pow2 32) % pow2 32) * pow2 32 + pll_l x y); add_mod_then_mod (plh x y) (phl x y + pll_h x y) (pow2 32); assert (mul_wide_low x y == ((plh x y + phl x y + pll...
false
FStar.UInt128.fst
FStar.UInt128.product_low_expand
val product_low_expand (x y: U64.t) : Lemma ((U64.v x * U64.v y) % pow2 64 == ((plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) % pow2 64)
val product_low_expand (x y: U64.t) : Lemma ((U64.v x * U64.v y) % pow2 64 == ((plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) % pow2 64)
let product_low_expand (x y: U64.t) : Lemma ((U64.v x * U64.v y) % pow2 64 == ((plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) % pow2 64) = product_expand x y; Math.lemma_mod_plus ((plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) (phh x y) (pow2 64)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 97, "end_line": 1083, "start_col": 0, "start_line": 1079 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures FStar.UInt64.v x * FStar.UInt64.v y % Prims.pow2 64 == ((FStar.UInt128.plh x y + FStar.UInt128.phl x y + FStar.UInt128.pll_h x y) * Prims.pow2 32 + FStar.UInt128.pll_l x y) % Prims.pow2 64)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "FStar.Math.Lemmas.lemma_mod_plus", "Prims.op_Addition", "FStar.Mul.op_Star", "FStar.UInt128.plh", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "Prims.pow2", "FStar.UInt128.pll_l", "FStar.UInt128.phh", "Prims.unit", "FStar.UInt128.product_expand", "Prims.l_True", "Prims.sq...
[]
true
false
true
false
false
let product_low_expand (x y: U64.t) : Lemma ((U64.v x * U64.v y) % pow2 64 == ((plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) % pow2 64) =
product_expand x y; Math.lemma_mod_plus ((plh x y + phl x y + pll_h x y) * pow2 32 + pll_l x y) (phh x y) (pow2 64)
false
FStar.UInt128.fst
FStar.UInt128.product_high32
val product_high32 : x:U64.t -> y:U64.t -> Lemma ((U64.v x * U64.v y) / pow2 32 == phh x y * pow2 32 + plh x y + phl x y + pll_h x y)
val product_high32 : x:U64.t -> y:U64.t -> Lemma ((U64.v x * U64.v y) / pow2 32 == phh x y * pow2 32 + plh x y + phl x y + pll_h x y)
let product_high32 x y = Math.pow2_plus 32 32; product_expand x y; Math.division_addition_lemma (plh x y + phl x y + pll_h x y) (pow2 32) (phh x y * pow2 32); mul_div_cancel (phh x y * pow2 32) (pow2 32); mul_div_cancel (plh x y + phl x y + pll_h x y) (pow2 32); Math.small_division_lemma_1 (pll_l x y) (pow2...
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 51, "end_line": 1117, "start_col": 0, "start_line": 1111 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures FStar.UInt64.v x * FStar.UInt64.v y / Prims.pow2 32 == FStar.UInt128.phh x y * Prims.pow2 32 + FStar.UInt128.plh x y + FStar.UInt128.phl x y + FStar.UInt128.pll_h x y)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "FStar.Math.Lemmas.small_division_lemma_1", "FStar.UInt128.pll_l", "Prims.pow2", "Prims.unit", "FStar.UInt128.mul_div_cancel", "Prims.op_Addition", "FStar.UInt128.plh", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "FStar.Mul.op_Star", "FStar.UInt128.phh", "FStar.Math.Lemmas....
[]
true
false
true
false
false
let product_high32 x y =
Math.pow2_plus 32 32; product_expand x y; Math.division_addition_lemma (plh x y + phl x y + pll_h x y) (pow2 32) (phh x y * pow2 32); mul_div_cancel (phh x y * pow2 32) (pow2 32); mul_div_cancel (plh x y + phl x y + pll_h x y) (pow2 32); Math.small_division_lemma_1 (pll_l x y) (pow2 32)
false
FStar.UInt128.fst
FStar.UInt128.mod_spec_mod
val mod_spec_mod (n:nat) (k:pos) : Lemma ((n - n%k) % k == 0)
val mod_spec_mod (n:nat) (k:pos) : Lemma ((n - n%k) % k == 0)
let mod_spec_mod n k = assert (n - n%k == n / k * k); Math.multiple_modulo_lemma (n/k) k
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 1140, "start_col": 0, "start_line": 1138 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
n: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures (n - n % k) % k == 0)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.Math.Lemmas.multiple_modulo_lemma", "Prims.op_Division", "Prims.unit", "Prims._assert", "Prims.eq2", "Prims.int", "Prims.op_Subtraction", "Prims.op_Modulus", "FStar.Mul.op_Star" ]
[]
true
false
true
false
false
let mod_spec_mod n k =
assert (n - n % k == (n / k) * k); Math.multiple_modulo_lemma (n / k) k
false
FStar.UInt128.fst
FStar.UInt128.sum_shift_carry
val sum_shift_carry : a:nat -> b:nat -> k:pos -> Lemma (a / k + (b + a%k) / k == (a + b) / k)
val sum_shift_carry : a:nat -> b:nat -> k:pos -> Lemma (a / k + (b + a%k) / k == (a + b) / k)
let sum_shift_carry a b k = div_sum_combine a (b+a%k) k; // assert (a / k + (b + a%k) / k == (a + b + (a % k - a % k) - (b + a%k) % k) / k); // assert ((a + b + (a % k - a % k) - (b + a%k) % k) / k == (a + b - (b + a%k) % k) / k); add_mod_then_mod b a k; Math.lemma_mod_spec (a+b) k
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 29, "end_line": 1194, "start_col": 0, "start_line": 1189 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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: Prims.nat -> b: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures a / k + (b + a % k) / k == (a + b) / k)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.Math.Lemmas.lemma_mod_spec", "Prims.op_Addition", "Prims.unit", "FStar.UInt128.add_mod_then_mod", "FStar.UInt128.div_sum_combine", "Prims.op_Modulus" ]
[]
true
false
true
false
false
let sum_shift_carry a b k =
div_sum_combine a (b + a % k) k; add_mod_then_mod b a k; Math.lemma_mod_spec (a + b) k
false
FStar.UInt128.fst
FStar.UInt128.product_high_expand
val product_high_expand : x:U64.t -> y:U64.t -> Lemma ((U64.v x * U64.v y) / pow2 64 == phh x y + (plh x y + phl x y + pll_h x y) / pow2 32)
val product_high_expand : x:U64.t -> y:U64.t -> Lemma ((U64.v x * U64.v y) / pow2 64 == phh x y + (plh x y + phl x y + pll_h x y) / pow2 32)
let product_high_expand x y = Math.pow2_plus 32 32; div_product (mul_wide_high x y) (pow2 32) (pow2 32); product_high32 x y; Math.division_addition_lemma (plh x y + phl x y + pll_h x y) (pow2 32) (phh x y); ()
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 4, "end_line": 1129, "start_col": 0, "start_line": 1124 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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": 5, "quake_keep": false, "quake_lo": 1, "retry": true, "reuse_hint_for": null, "smtencoding_eli...
false
x: FStar.UInt64.t -> y: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures FStar.UInt64.v x * FStar.UInt64.v y / Prims.pow2 64 == FStar.UInt128.phh x y + (FStar.UInt128.plh x y + FStar.UInt128.phl x y + FStar.UInt128.pll_h x y) / Prims.pow2 32)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "Prims.unit", "FStar.Math.Lemmas.division_addition_lemma", "Prims.op_Addition", "FStar.UInt128.plh", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "Prims.pow2", "FStar.UInt128.phh", "FStar.UInt128.product_high32", "FStar.UInt128.div_product", "FStar.UInt128.mul_wide_high", "F...
[]
true
false
true
false
false
let product_high_expand x y =
Math.pow2_plus 32 32; div_product (mul_wide_high x y) (pow2 32) (pow2 32); product_high32 x y; Math.division_addition_lemma (plh x y + phl x y + pll_h x y) (pow2 32) (phh x y); ()
false
FStar.UInt128.fst
FStar.UInt128.div_sum_combine1
val div_sum_combine1 : n:nat -> m:nat -> k:pos -> Lemma ((n / k + m / k) * k == (n - n % k) + (m - m % k))
val div_sum_combine1 : n:nat -> m:nat -> k:pos -> Lemma ((n / k + m / k) * k == (n - n % k) + (m - m % k))
let div_sum_combine1 n m k = Math.distributivity_add_left (n / k) (m / k) k; div_mod n k; div_mod m k; ()
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 4, "end_line": 1152, "start_col": 0, "start_line": 1148 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
n: Prims.nat -> m: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures (n / k + m / k) * k == n - n % k + (m - m % k))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "Prims.unit", "FStar.UInt128.div_mod", "FStar.Math.Lemmas.distributivity_add_left", "Prims.op_Division" ]
[]
true
false
true
false
false
let div_sum_combine1 n m k =
Math.distributivity_add_left (n / k) (m / k) k; div_mod n k; div_mod m k; ()
false
FStar.UInt128.fst
FStar.UInt128.sum_rounded_mod_exact
val sum_rounded_mod_exact : n:nat -> m:nat -> k:pos -> Lemma (((n - n%k) + (m - m%k)) / k * k == (n - n%k) + (m - m%k))
val sum_rounded_mod_exact : n:nat -> m:nat -> k:pos -> Lemma (((n - n%k) + (m - m%k)) / k * k == (n - n%k) + (m - m%k))
let sum_rounded_mod_exact n m k = n_minus_mod_exact n k; n_minus_mod_exact m k; sub_mod_gt_0 n k; sub_mod_gt_0 m k; mod_add (n - n%k) (m - m%k) k; Math.div_exact_r ((n - n%k) + (m - m % k)) k
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 46, "end_line": 1174, "start_col": 0, "start_line": 1168 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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": 5, "quake_keep": false, "quake_lo": 1, "retry": true, "reuse_hint_for": null, "smtencoding_eli...
false
n: Prims.nat -> m: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures ((n - n % k + (m - m % k)) / k) * k == n - n % k + (m - m % k))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.Math.Lemmas.div_exact_r", "Prims.op_Addition", "Prims.op_Subtraction", "Prims.op_Modulus", "Prims.unit", "FStar.UInt128.mod_add", "FStar.UInt128.sub_mod_gt_0", "FStar.UInt128.n_minus_mod_exact" ]
[]
true
false
true
false
false
let sum_rounded_mod_exact n m k =
n_minus_mod_exact n k; n_minus_mod_exact m k; sub_mod_gt_0 n k; sub_mod_gt_0 m k; mod_add (n - n % k) (m - m % k) k; Math.div_exact_r ((n - n % k) + (m - m % k)) k
false
FStar.UInt128.fst
FStar.UInt128.mul_wide_high_ok
val mul_wide_high_ok (x y: U64.t) : Lemma ((U64.v x * U64.v y) / pow2 64 == mul_wide_high x y)
val mul_wide_high_ok (x y: U64.t) : Lemma ((U64.v x * U64.v y) / pow2 64 == mul_wide_high x y)
let mul_wide_high_ok (x y: U64.t) : Lemma ((U64.v x * U64.v y) / pow2 64 == mul_wide_high x y) = product_high_expand x y; sum_shift_carry (phl x y + pll_h x y) (plh x y) (pow2 32)
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 59, "end_line": 1199, "start_col": 0, "start_line": 1196 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> FStar.Pervasives.Lemma (ensures FStar.UInt64.v x * FStar.UInt64.v y / Prims.pow2 64 == FStar.UInt128.mul_wide_high x y)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt64.t", "FStar.UInt128.sum_shift_carry", "Prims.op_Addition", "FStar.UInt128.phl", "FStar.UInt128.pll_h", "FStar.UInt128.plh", "Prims.pow2", "Prims.unit", "FStar.UInt128.product_high_expand", "Prims.l_True", "Prims.squash", "Prims.eq2", "Prims.int", "Prims.op_Division", "FStar....
[]
true
false
true
false
false
let mul_wide_high_ok (x y: U64.t) : Lemma ((U64.v x * U64.v y) / pow2 64 == mul_wide_high x y) =
product_high_expand x y; sum_shift_carry (phl x y + pll_h x y) (plh x y) (pow2 32)
false
FStar.UInt128.fst
FStar.UInt128.n_minus_mod_exact
val n_minus_mod_exact (n: nat) (k: pos) : Lemma ((n - n % k) % k == 0)
val n_minus_mod_exact (n: nat) (k: pos) : Lemma ((n - n % k) % k == 0)
let n_minus_mod_exact (n:nat) (k:pos) : Lemma ((n - n % k) % k == 0) = mod_spec_mod n k; mod_0 k
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 11, "end_line": 1160, "start_col": 0, "start_line": 1157 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
n: Prims.nat -> k: Prims.pos -> FStar.Pervasives.Lemma (ensures (n - n % k) % k == 0)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "Prims.pos", "FStar.UInt128.mod_0", "Prims.unit", "FStar.UInt128.mod_spec_mod", "Prims.l_True", "Prims.squash", "Prims.eq2", "Prims.int", "Prims.op_Modulus", "Prims.op_Subtraction", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let n_minus_mod_exact (n: nat) (k: pos) : Lemma ((n - n % k) % k == 0) =
mod_spec_mod n k; mod_0 k
false
FStar.UInt128.fst
FStar.UInt128.product_div_bound
val product_div_bound (#n: pos) (x y: UInt.uint_t n) : Lemma (x * y / pow2 n < pow2 n)
val product_div_bound (#n: pos) (x y: UInt.uint_t n) : Lemma (x * y / pow2 n < pow2 n)
let product_div_bound (#n:pos) (x y: UInt.uint_t n) : Lemma (x * y / pow2 n < pow2 n) = Math.pow2_plus n n; product_bound x y (pow2 n); pow2_div_bound #(n+n) (x * y) n
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 33, "end_line": 1205, "start_col": 0, "start_line": 1201 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt.uint_t n -> y: FStar.UInt.uint_t n -> FStar.Pervasives.Lemma (ensures x * y / Prims.pow2 n < Prims.pow2 n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "FStar.UInt.uint_t", "FStar.UInt128.pow2_div_bound", "Prims.op_Addition", "FStar.Mul.op_Star", "Prims.unit", "FStar.UInt128.product_bound", "Prims.pow2", "FStar.Math.Lemmas.pow2_plus", "Prims.l_True", "Prims.squash", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Division", "Pr...
[]
true
false
true
false
false
let product_div_bound (#n: pos) (x y: UInt.uint_t n) : Lemma (x * y / pow2 n < pow2 n) =
Math.pow2_plus n n; product_bound x y (pow2 n); pow2_div_bound #(n + n) (x * y) n
false
FStar.UInt128.fst
FStar.UInt128.mul_wide
val mul_wide: x:U64.t -> y:U64.t -> Pure t (requires True) (ensures (fun r -> v r == U64.v x * U64.v y))
val mul_wide: x:U64.t -> y:U64.t -> Pure t (requires True) (ensures (fun r -> v r == U64.v x * U64.v y))
let mul_wide (x y:U64.t) : Pure t (requires True) (ensures (fun r -> v r == U64.v x * U64.v y)) = mul_wide_low_ok x y; mul_wide_high_ok x y; product_div_bound (U64.v x) (U64.v y); Math.modulo_lemma (mul_wide_high x y) (pow2 64); mul_wide_impl x y
{ "file_name": "ulib/FStar.UInt128.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 19, "end_line": 1214, "start_col": 0, "start_line": 1207 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt.fsti.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.Effect.fsti.checked", "FStar.Tactics.BV.fst.checked", "FStar.Seq.fst.checked", "FStar....
[ { "abbrev": true, "full_module": "FStar.Tactics.BV", "short_module": "TBV" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_mod...
{ "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
x: FStar.UInt64.t -> y: FStar.UInt64.t -> Prims.Pure FStar.UInt128.t
Prims.Pure
[]
[]
[ "FStar.UInt64.t", "FStar.UInt128.mul_wide_impl", "Prims.unit", "FStar.Math.Lemmas.modulo_lemma", "FStar.UInt128.mul_wide_high", "Prims.pow2", "FStar.UInt128.product_div_bound", "FStar.UInt64.n", "FStar.UInt64.v", "FStar.UInt128.mul_wide_high_ok", "FStar.UInt128.mul_wide_low_ok", "FStar.UInt128...
[]
false
false
false
false
false
let mul_wide (x y: U64.t) : Pure t (requires True) (ensures (fun r -> v r == U64.v x * U64.v y)) =
mul_wide_low_ok x y; mul_wide_high_ok x y; product_div_bound (U64.v x) (U64.v y); Math.modulo_lemma (mul_wide_high x y) (pow2 64); mul_wide_impl x y
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.felem_list
val felem_list : Type0
let felem_list = x:list uint64{FL.length x == 4}
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 48, "end_line": 19, "start_col": 0, "start_line": 19 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" unfold let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; ...
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
Type0
Prims.Tot
[ "total" ]
[]
[ "Prims.list", "Lib.IntTypes.uint64", "Prims.eq2", "Prims.int", "FStar.List.Tot.Base.length" ]
[]
false
false
false
true
true
let felem_list =
x: list uint64 {FL.length x == 4}
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.create4
val create4 (x0 x1 x2 x3: uint64) : list uint64
val create4 (x0 x1 x2 x3: uint64) : list uint64
let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; x3]
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 65, "end_line": 16, "start_col": 0, "start_line": 16 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0"
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
x0: Lib.IntTypes.uint64 -> x1: Lib.IntTypes.uint64 -> x2: Lib.IntTypes.uint64 -> x3: Lib.IntTypes.uint64 -> Prims.list Lib.IntTypes.uint64
Prims.Tot
[ "total" ]
[]
[ "Lib.IntTypes.uint64", "Prims.Cons", "Prims.Nil", "Prims.list" ]
[]
false
false
false
true
false
let create4 (x0 x1 x2 x3: uint64) : list uint64 =
[x0; x1; x2; x3]
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.point_list
val point_list : Type0
let point_list = x:list uint64{FL.length x == 12}
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 49, "end_line": 21, "start_col": 0, "start_line": 21 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" unfold let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; ...
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
Type0
Prims.Tot
[ "total" ]
[]
[ "Prims.list", "Lib.IntTypes.uint64", "Prims.eq2", "Prims.int", "FStar.List.Tot.Base.length" ]
[]
false
false
false
true
true
let point_list =
x: list uint64 {FL.length x == 12}
false
FStar.OrdSet.fsti
FStar.OrdSet.mem_of
val mem_of : s: FStar.OrdSet.ordset a f -> x: a -> Prims.bool
let mem_of #a #f (s:ordset a f) x = mem x s
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 50, "end_line": 45, "start_col": 7, "start_line": 45 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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
s: FStar.OrdSet.ordset a f -> x: a -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.OrdSet.cmp", "FStar.OrdSet.ordset", "FStar.OrdSet.mem", "Prims.bool" ]
[]
false
false
false
false
false
let mem_of #a #f (s: ordset a f) x =
mem x s
false
FStar.OrdSet.fsti
FStar.OrdSet.strict_superset
val strict_superset (#a #f: _) (s1 s2: ordset a f) : Tot bool
val strict_superset (#a #f: _) (s1 s2: ordset a f) : Tot bool
let strict_superset #a #f (s1 s2: ordset a f) : Tot bool = strict_subset s2 s1
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 78, "end_line": 88, "start_col": 0, "start_line": 88 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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
s1: FStar.OrdSet.ordset a f -> s2: FStar.OrdSet.ordset a f -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.OrdSet.cmp", "FStar.OrdSet.ordset", "FStar.OrdSet.strict_subset", "Prims.bool" ]
[]
false
false
false
false
false
let strict_superset #a #f (s1: ordset a f) (s2: ordset a f) : Tot bool =
strict_subset s2 s1
false
FStar.OrdSet.fsti
FStar.OrdSet.superset
val superset (#a #f: _) (s1 s2: ordset a f) : Tot bool
val superset (#a #f: _) (s1 s2: ordset a f) : Tot bool
let superset #a #f (s1 s2: ordset a f) : Tot bool = subset s2 s1
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 64, "end_line": 81, "start_col": 0, "start_line": 81 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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
s1: FStar.OrdSet.ordset a f -> s2: FStar.OrdSet.ordset a f -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.OrdSet.cmp", "FStar.OrdSet.ordset", "FStar.OrdSet.subset", "Prims.bool" ]
[]
false
false
false
false
false
let superset #a #f (s1: ordset a f) (s2: ordset a f) : Tot bool =
subset s2 s1
false
FStar.OrdSet.fsti
FStar.OrdSet.equal
val equal (#a: eqtype) (#f: cmp a) (s1 s2: ordset a f) : Tot prop
val equal (#a: eqtype) (#f: cmp a) (s1 s2: ordset a f) : Tot prop
let equal (#a:eqtype) (#f:cmp a) (s1:ordset a f) (s2:ordset a f) : Tot prop = forall x. mem #_ #f x s1 = mem #_ #f x s2
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 43, "end_line": 93, "start_col": 0, "start_line": 92 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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
s1: FStar.OrdSet.ordset a f -> s2: FStar.OrdSet.ordset a f -> Prims.prop
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.OrdSet.cmp", "FStar.OrdSet.ordset", "Prims.l_Forall", "Prims.b2t", "Prims.op_Equality", "Prims.bool", "FStar.OrdSet.mem", "Prims.prop" ]
[]
false
false
false
false
true
let equal (#a: eqtype) (#f: cmp a) (s1 s2: ordset a f) : Tot prop =
forall x. mem #_ #f x s1 = mem #_ #f x s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.notin
val notin (#a: eqtype) (x: a) (s: set a) : bool
val notin (#a: eqtype) (x: a) (s: set a) : bool
let notin (#a: eqtype) (x: a) (s: set a) : bool = not (mem x s)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 15, "end_line": 150, "start_col": 0, "start_line": 148 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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 -> s: FStar.FiniteSet.Base.set a -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.op_Negation", "FStar.FiniteSet.Base.mem", "Prims.bool" ]
[]
false
false
false
false
false
let notin (#a: eqtype) (x: a) (s: set a) : bool =
not (mem x s)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.empty_set_contains_no_elements_fact
val empty_set_contains_no_elements_fact : Prims.logical
let empty_set_contains_no_elements_fact = forall (a: eqtype) (o: a).{:pattern mem o (emptyset)} not (mem o (emptyset #a))
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 81, "end_line": 166, "start_col": 0, "start_line": 165 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "Prims.b2t", "Prims.op_Negation", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.emptyset" ]
[]
false
false
false
true
true
let empty_set_contains_no_elements_fact =
forall (a: eqtype) (o: a). {:pattern mem o (emptyset)} not (mem o (emptyset #a))
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.remove
val remove (#a: eqtype) (x: a) (s: set a) : set a
val remove (#a: eqtype) (x: a) (s: set a) : set a
let remove (#a: eqtype) (x: a) (s: set a) : set a = difference s (singleton x)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 28, "end_line": 146, "start_col": 0, "start_line": 144 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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 -> s: FStar.FiniteSet.Base.set a -> FStar.FiniteSet.Base.set a
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.FiniteSet.Base.set", "FStar.FiniteSet.Base.difference", "FStar.FiniteSet.Base.singleton" ]
[]
false
false
false
false
false
let remove (#a: eqtype) (x: a) (s: set a) : set a =
difference s (singleton x)
false
FStar.OrdSet.fsti
FStar.OrdSet.sorted
val sorted (#a: eqtype) (f: cmp a) (l: list a) : Tot bool
val sorted (#a: eqtype) (f: cmp a) (l: list a) : Tot bool
let rec sorted (#a:eqtype) (f:cmp a) (l:list a) : Tot bool = match l with | [] -> true | x::[] -> true | x::y::tl -> f x y && x <> y && sorted f (y::tl)
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 51, "end_line": 29, "start_col": 0, "start_line": 25 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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: FStar.OrdSet.cmp a -> l: Prims.list a -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.OrdSet.cmp", "Prims.list", "Prims.op_AmpAmp", "Prims.op_disEquality", "FStar.OrdSet.sorted", "Prims.Cons", "Prims.bool" ]
[ "recursion" ]
false
false
false
false
false
let rec sorted (#a: eqtype) (f: cmp a) (l: list a) : Tot bool =
match l with | [] -> true | x :: [] -> true | x :: y :: tl -> f x y && x <> y && sorted f (y :: tl)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.singleton_contains_argument_fact
val singleton_contains_argument_fact : Prims.logical
let singleton_contains_argument_fact = forall (a: eqtype) (r: a).{:pattern singleton r} mem r (singleton r)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 70, "end_line": 184, "start_col": 0, "start_line": 183 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.singleton" ]
[]
false
false
false
true
true
let singleton_contains_argument_fact =
forall (a: eqtype) (r: a). {:pattern singleton r} mem r (singleton r)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.singleton_contains_fact
val singleton_contains_fact : Prims.logical
let singleton_contains_fact = forall (a: eqtype) (r: a) (o: a).{:pattern mem o (singleton r)} mem o (singleton r) <==> r == o
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 97, "end_line": 191, "start_col": 0, "start_line": 190 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "Prims.l_iff", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.singleton", "Prims.eq2" ]
[]
false
false
false
true
true
let singleton_contains_fact =
forall (a: eqtype) (r: a) (o: a). {:pattern mem o (singleton r)} mem o (singleton r) <==> r == o
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.singleton_cardinality_fact
val singleton_cardinality_fact : Prims.logical
let singleton_cardinality_fact = forall (a: eqtype) (r: a).{:pattern cardinality (singleton r)} cardinality (singleton r) = 1
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 94, "end_line": 198, "start_col": 0, "start_line": 197 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "Prims.b2t", "Prims.op_Equality", "Prims.int", "FStar.FiniteSet.Base.cardinality", "FStar.FiniteSet.Base.singleton" ]
[]
false
false
false
true
true
let singleton_cardinality_fact =
forall (a: eqtype) (r: a). {:pattern cardinality (singleton r)} cardinality (singleton r) = 1
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.length_zero_fact
val length_zero_fact : Prims.logical
let length_zero_fact = forall (a: eqtype) (s: set a).{:pattern cardinality s} (cardinality s = 0 <==> s == emptyset) /\ (cardinality s <> 0 <==> (exists x. mem x s))
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 52, "end_line": 177, "start_col": 0, "start_line": 174 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_and", "Prims.l_iff", "Prims.b2t", "Prims.op_Equality", "Prims.int", "FStar.FiniteSet.Base.cardinality", "Prims.eq2", "FStar.FiniteSet.Base.emptyset", "Prims.op_disEquality", "Prims.l_Exists", "FStar.FiniteSet.Base.mem" ...
[]
false
false
false
true
true
let length_zero_fact =
forall (a: eqtype) (s: set a). {:pattern cardinality s} (cardinality s = 0 <==> s == emptyset) /\ (cardinality s <> 0 <==> (exists x. mem x s))
false
FStar.OrdSet.fsti
FStar.OrdSet.disjoint
val disjoint (#a #f: _) (s1 s2: ordset a f) : Tot bool
val disjoint (#a #f: _) (s1 s2: ordset a f) : Tot bool
let disjoint #a #f (s1 s2 : ordset a f) : Tot bool = intersect s1 s2 = empty
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 76, "end_line": 90, "start_col": 0, "start_line": 90 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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
s1: FStar.OrdSet.ordset a f -> s2: FStar.OrdSet.ordset a f -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "FStar.OrdSet.cmp", "FStar.OrdSet.ordset", "Prims.op_Equality", "FStar.OrdSet.intersect", "FStar.OrdSet.empty", "Prims.bool" ]
[]
false
false
false
false
false
let disjoint #a #f (s1: ordset a f) (s2: ordset a f) : Tot bool =
intersect s1 s2 = empty
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.list_nonrepeating
val list_nonrepeating (#a: eqtype) (xs: list a) : bool
val list_nonrepeating (#a: eqtype) (xs: list a) : bool
let rec list_nonrepeating (#a: eqtype) (xs: list a) : bool = match xs with | [] -> true | hd :: tl -> not (FLT.mem hd tl) && list_nonrepeating tl
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 59, "end_line": 60, "start_col": 0, "start_line": 57 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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
xs: Prims.list a -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Prims.eqtype", "Prims.list", "Prims.op_AmpAmp", "Prims.op_Negation", "FStar.List.Tot.Base.mem", "FStar.FiniteSet.Base.list_nonrepeating", "Prims.bool" ]
[ "recursion" ]
false
false
false
false
false
let rec list_nonrepeating (#a: eqtype) (xs: list a) : bool =
match xs with | [] -> true | hd :: tl -> not (FLT.mem hd tl) && list_nonrepeating tl
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.insert_fact
val insert_fact : Prims.logical
let insert_fact = forall (a: eqtype) (s: set a) (x: a) (o: a).{:pattern mem o (insert x s)} mem o (insert x s) <==> o == x \/ mem o s
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 45, "end_line": 207, "start_col": 0, "start_line": 205 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.insert", "Prims.l_or", "Prims.eq2" ]
[]
false
false
false
true
true
let insert_fact =
forall (a: eqtype) (s: set a) (x: a) (o: a). {:pattern mem o (insert x s)} mem o (insert x s) <==> o == x \/ mem o s
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.insert_contains_argument_fact
val insert_contains_argument_fact : Prims.logical
let insert_contains_argument_fact = forall (a: eqtype) (s: set a) (x: a).{:pattern insert x s} mem x (insert x s)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 22, "end_line": 216, "start_col": 0, "start_line": 214 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.insert" ]
[]
false
false
false
true
true
let insert_contains_argument_fact =
forall (a: eqtype) (s: set a) (x: a). {:pattern insert x s} mem x (insert x s)
false
Spec.Blake2.Alternative.fst
Spec.Blake2.Alternative.lemma_spec_equivalence_update
val lemma_spec_equivalence_update: a:alg -> kk:size_nat{kk <= max_key a} -> k:lbytes kk -> d:bytes{if kk = 0 then length d <= max_limb a else length d + (size_block a) <= max_limb a} -> s:state a -> Lemma (blake2_update a kk k d s `Seq.equal` blake2_update' a kk k d s)
val lemma_spec_equivalence_update: a:alg -> kk:size_nat{kk <= max_key a} -> k:lbytes kk -> d:bytes{if kk = 0 then length d <= max_limb a else length d + (size_block a) <= max_limb a} -> s:state a -> Lemma (blake2_update a kk k d s `Seq.equal` blake2_update' a kk k d s)
let lemma_spec_equivalence_update a kk k d s = let ll = length d in let key_block: bytes = if kk > 0 then blake2_key_block a kk k else Seq.empty in if kk = 0 then begin assert (key_block `Seq.equal` Seq.empty); assert ((key_block `Seq.append` d) `Seq.equal` d); () end else if ll = 0 then let (nb...
{ "file_name": "specs/lemmas/Spec.Blake2.Alternative.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 136, "start_col": 0, "start_line": 100 }
module Spec.Blake2.Alternative open Spec.Blake2 open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence open Lib.LoopCombinators module Lems = Lib.Sequence.Lemmas module UpdateMulti = Lib.UpdateMulti #set-options "--fuel 0 --ifuel 0 --z3rlimit 50" val lemma_shift_update_last: ...
{ "checked_file": "/", "dependencies": [ "Spec.Blake2.fst.checked", "prims.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.Sequence.Lemmas.fsti.checked", "Lib.Sequence.fsti.checked", "Lib.RawIntTypes.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", ...
[ { "abbrev": true, "full_module": "Lib.UpdateMulti", "short_module": "UpdateMulti" }, { "abbrev": true, "full_module": "Lib.Sequence.Lemmas", "short_module": "Lems" }, { "abbrev": false, "full_module": "Lib.LoopCombinators", "short_module": null }, { "abbrev": fals...
{ "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
a: Spec.Blake2.Definitions.alg -> kk: Lib.IntTypes.size_nat{kk <= Spec.Blake2.Definitions.max_key a} -> k: Lib.ByteSequence.lbytes kk -> d: Lib.ByteSequence.bytes { (match kk = 0 with | true -> Lib.Sequence.length d <= Spec.Blake2.Definitions.max_limb a | _ -> ...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.Blake2.Definitions.alg", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Spec.Blake2.Definitions.max_key", "Lib.ByteSequence.lbytes", "Lib.ByteSequence.bytes", "Prims.op_Equality", "Prims.int", "Lib.Sequence.length", "Lib.IntTypes.uint_t", "Lib.IntTypes.U8", "Lib.Int...
[]
false
false
true
false
false
let lemma_spec_equivalence_update a kk k d s =
let ll = length d in let key_block:bytes = if kk > 0 then blake2_key_block a kk k else Seq.empty in if kk = 0 then (assert (key_block `Seq.equal` Seq.empty); assert ((key_block `Seq.append` d) `Seq.equal` d); ()) else if ll = 0 then let nb, rem = split a (length (blake2_key_block a kk k)) in calc ...
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.insert_contains_fact
val insert_contains_fact : Prims.logical
let insert_contains_fact = forall (a: eqtype) (s: set a) (x: a) (y: a).{:pattern insert x s; mem y s} mem y s ==> mem y (insert x s)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 34, "end_line": 225, "start_col": 0, "start_line": 223 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.insert" ]
[]
false
false
false
true
true
let insert_contains_fact =
forall (a: eqtype) (s: set a) (x: a) (y: a). {:pattern insert x s; mem y s} mem y s ==> mem y (insert x s)
false
FStar.OrdSet.fsti
FStar.OrdSet.inv
val inv (#a: _) (c: condition a) : (z: condition a {forall x. c x = not (z x)})
val inv (#a: _) (c: condition a) : (z: condition a {forall x. c x = not (z x)})
let inv #a (c: condition a) : (z:condition a{forall x. c x = not (z x)}) = fun x -> not (c x)
{ "file_name": "ulib/experimental/FStar.OrdSet.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 93, "end_line": 205, "start_col": 0, "start_line": 205 }
(* Copyright 2008-2018 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 applicable law or agre...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Set.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked" ], "interface_file": false, "source_file": "FStar.OrdSet.fsti"...
[ { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "...
{ "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
c: FStar.OrdSet.condition a -> z: FStar.OrdSet.condition a {forall (x: a). c x = Prims.op_Negation (z x)}
Prims.Tot
[ "total" ]
[]
[ "FStar.OrdSet.condition", "Prims.op_Negation", "Prims.bool", "Prims.l_Forall", "Prims.b2t", "Prims.op_Equality" ]
[]
false
false
false
false
false
let inv #a (c: condition a) : (z: condition a {forall x. c x = not (z x)}) =
fun x -> not (c x)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.union_contains_element_from_second_argument_fact
val union_contains_element_from_second_argument_fact : Prims.logical
let union_contains_element_from_second_argument_fact = forall (a: eqtype) (s1: set a) (s2: set a) (y: a).{:pattern union s1 s2; mem y s2} mem y s2 ==> mem y (union s1 s2)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 270, "start_col": 0, "start_line": 268 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.union" ]
[]
false
false
false
true
true
let union_contains_element_from_second_argument_fact =
forall (a: eqtype) (s1: set a) (s2: set a) (y: a). {:pattern union s1 s2; mem y s2} mem y s2 ==> mem y (union s1 s2)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.union_contains_fact
val union_contains_fact : Prims.logical
let union_contains_fact = forall (a: eqtype) (s1: set a) (s2: set a) (o: a).{:pattern mem o (union s1 s2)} mem o (union s1 s2) <==> mem o s1 \/ mem o s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 49, "end_line": 252, "start_col": 0, "start_line": 250 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.union", "Prims.l_or" ]
[]
false
false
false
true
true
let union_contains_fact =
forall (a: eqtype) (s1: set a) (s2: set a) (o: a). {:pattern mem o (union s1 s2)} mem o (union s1 s2) <==> mem o s1 \/ mem o s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.insert_nonmember_cardinality_fact
val insert_nonmember_cardinality_fact : Prims.logical
let insert_nonmember_cardinality_fact = forall (a: eqtype) (s: set a) (x: a).{:pattern cardinality (insert x s)} not (mem x s) ==> cardinality (insert x s) = cardinality s + 1
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 66, "end_line": 243, "start_col": 0, "start_line": 241 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "Prims.op_Negation", "FStar.FiniteSet.Base.mem", "Prims.op_Equality", "Prims.int", "FStar.FiniteSet.Base.cardinality", "FStar.FiniteSet.Base.insert", "Prims.op_Addition" ]
[]
false
false
false
true
true
let insert_nonmember_cardinality_fact =
forall (a: eqtype) (s: set a) (x: a). {:pattern cardinality (insert x s)} not (mem x s) ==> cardinality (insert x s) = cardinality s + 1
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.union_of_disjoint_fact
val union_of_disjoint_fact : Prims.logical
let union_of_disjoint_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern union s1 s2} disjoint s1 s2 ==> difference (union s1 s2) s1 == s2 /\ difference (union s1 s2) s2 == s1
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 93, "end_line": 281, "start_col": 0, "start_line": 279 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "FStar.FiniteSet.Base.disjoint", "Prims.l_and", "Prims.eq2", "FStar.FiniteSet.Base.difference", "FStar.FiniteSet.Base.union" ]
[]
false
false
false
true
true
let union_of_disjoint_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern union s1 s2} disjoint s1 s2 ==> difference (union s1 s2) s1 == s2 /\ difference (union s1 s2) s2 == s1
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.union_contains_element_from_first_argument_fact
val union_contains_element_from_first_argument_fact : Prims.logical
let union_contains_element_from_first_argument_fact = forall (a: eqtype) (s1: set a) (s2: set a) (y: a).{:pattern union s1 s2; mem y s1} mem y s1 ==> mem y (union s1 s2)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 261, "start_col": 0, "start_line": 259 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.union" ]
[]
false
false
false
true
true
let union_contains_element_from_first_argument_fact =
forall (a: eqtype) (s1: set a) (s2: set a) (y: a). {:pattern union s1 s2; mem y s1} mem y s1 ==> mem y (union s1 s2)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.intersection_contains_fact
val intersection_contains_fact : Prims.logical
let intersection_contains_fact = forall (a: eqtype) (s1: set a) (s2: set a) (o: a).{:pattern mem o (intersection s1 s2)} mem o (intersection s1 s2) <==> mem o s1 /\ mem o s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 56, "end_line": 290, "start_col": 0, "start_line": 288 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.intersection", "Prims.l_and" ]
[]
false
false
false
true
true
let intersection_contains_fact =
forall (a: eqtype) (s1: set a) (s2: set a) (o: a). {:pattern mem o (intersection s1 s2)} mem o (intersection s1 s2) <==> mem o s1 /\ mem o s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.union_idempotent_right_fact
val union_idempotent_right_fact : Prims.logical
let union_idempotent_right_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern union (union s1 s2) s2} union (union s1 s2) s2 == union s1 s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 299, "start_col": 0, "start_line": 297 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.eq2", "FStar.FiniteSet.Base.union" ]
[]
false
false
false
true
true
let union_idempotent_right_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern union (union s1 s2) s2} union (union s1 s2) s2 == union s1 s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.intersection_idempotent_left_fact
val intersection_idempotent_left_fact : Prims.logical
let intersection_idempotent_left_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern intersection s1 (intersection s1 s2)} intersection s1 (intersection s1 s2) == intersection s1 s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 62, "end_line": 326, "start_col": 0, "start_line": 324 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.eq2", "FStar.FiniteSet.Base.intersection" ]
[]
false
false
false
true
true
let intersection_idempotent_left_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern intersection s1 (intersection s1 s2)} intersection s1 (intersection s1 s2) == intersection s1 s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.intersection_idempotent_right_fact
val intersection_idempotent_right_fact : Prims.logical
let intersection_idempotent_right_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern intersection (intersection s1 s2) s2} intersection (intersection s1 s2) s2 == intersection s1 s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 62, "end_line": 317, "start_col": 0, "start_line": 315 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.eq2", "FStar.FiniteSet.Base.intersection" ]
[]
false
false
false
true
true
let intersection_idempotent_right_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern intersection (intersection s1 s2) s2} intersection (intersection s1 s2) s2 == intersection s1 s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.difference_contains_fact
val difference_contains_fact : Prims.logical
let difference_contains_fact = forall (a: eqtype) (s1: set a) (s2: set a) (o: a).{:pattern mem o (difference s1 s2)} mem o (difference s1 s2) <==> mem o s1 /\ not (mem o s2)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 60, "end_line": 344, "start_col": 0, "start_line": 342 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "Prims.b2t", "FStar.FiniteSet.Base.mem", "FStar.FiniteSet.Base.difference", "Prims.l_and", "Prims.op_Negation" ]
[]
false
false
false
true
true
let difference_contains_fact =
forall (a: eqtype) (s1: set a) (s2: set a) (o: a). {:pattern mem o (difference s1 s2)} mem o (difference s1 s2) <==> mem o s1 /\ not (mem o s2)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.union_idempotent_left_fact
val union_idempotent_left_fact : Prims.logical
let union_idempotent_left_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern union s1 (union s1 s2)} union s1 (union s1 s2) == union s1 s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 308, "start_col": 0, "start_line": 306 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.eq2", "FStar.FiniteSet.Base.union" ]
[]
false
false
false
true
true
let union_idempotent_left_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern union s1 (union s1 s2)} union s1 (union s1 s2) == union s1 s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.difference_doesnt_include_fact
val difference_doesnt_include_fact : Prims.logical
let difference_doesnt_include_fact = forall (a: eqtype) (s1: set a) (s2: set a) (y: a).{:pattern difference s1 s2; mem y s2} mem y s2 ==> not (mem y (difference s1 s2))
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 47, "end_line": 353, "start_col": 0, "start_line": 351 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "FStar.FiniteSet.Base.mem", "Prims.op_Negation", "FStar.FiniteSet.Base.difference" ]
[]
false
false
false
true
true
let difference_doesnt_include_fact =
forall (a: eqtype) (s1: set a) (s2: set a) (y: a). {:pattern difference s1 s2; mem y s2} mem y s2 ==> not (mem y (difference s1 s2))
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.intersection_cardinality_fact
val intersection_cardinality_fact : Prims.logical
let intersection_cardinality_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern cardinality (intersection s1 s2)} cardinality (union s1 s2) + cardinality (intersection s1 s2) = cardinality s1 + cardinality s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 98, "end_line": 335, "start_col": 0, "start_line": 333 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.op_Addition", "FStar.FiniteSet.Base.cardinality", "FStar.FiniteSet.Base.union", "FStar.FiniteSet.Base.intersection" ]
[]
false
false
false
true
true
let intersection_cardinality_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern cardinality (intersection s1 s2)} cardinality (union s1 s2) + cardinality (intersection s1 s2) = cardinality s1 + cardinality s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.difference_cardinality_fact
val difference_cardinality_fact : Prims.logical
let difference_cardinality_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern cardinality (difference s1 s2)} cardinality (difference s1 s2) + cardinality (difference s2 s1) + cardinality (intersection s1 s2) = cardinality (union s1 s2) /\ cardinality (difference s1 s2) = cardinality s1 - cardinali...
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 89, "end_line": 367, "start_col": 0, "start_line": 364 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_and", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.op_Addition", "FStar.FiniteSet.Base.cardinality", "FStar.FiniteSet.Base.difference", "FStar.FiniteSet.Base.intersection", "FStar.FiniteSet.Base.union", "Prims.op...
[]
false
false
false
true
true
let difference_cardinality_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern cardinality (difference s1 s2)} cardinality (difference s1 s2) + cardinality (difference s2 s1) + cardinality (intersection s1 s2) = cardinality (union s1 s2) /\ cardinality (difference s1 s2) = cardinality s1 - cardinality (intersection s1 s2)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.equal_extensionality_fact
val equal_extensionality_fact : Prims.logical
let equal_extensionality_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern equal s1 s2} equal s1 s2 ==> s1 == s2
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 28, "end_line": 394, "start_col": 0, "start_line": 392 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "FStar.FiniteSet.Base.equal", "Prims.eq2" ]
[]
false
false
false
true
true
let equal_extensionality_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern equal s1 s2} equal s1 s2 ==> s1 == s2
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.insert_remove_fact
val insert_remove_fact : Prims.logical
let insert_remove_fact = forall (a: eqtype) (x: a) (s: set a).{:pattern insert x (remove x s)} mem x s = true ==> insert x (remove x s) == s
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 49, "end_line": 409, "start_col": 0, "start_line": 407 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "Prims.op_Equality", "Prims.bool", "FStar.FiniteSet.Base.mem", "Prims.eq2", "FStar.FiniteSet.Base.insert", "FStar.FiniteSet.Base.remove" ]
[]
false
false
false
true
true
let insert_remove_fact =
forall (a: eqtype) (x: a) (s: set a). {:pattern insert x (remove x s)} mem x s = true ==> insert x (remove x s) == s
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.equal_fact
val equal_fact : Prims.logical
let equal_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern equal s1 s2} equal s1 s2 <==> (forall o.{:pattern mem o s1 \/ mem o s2} mem o s1 <==> mem o s2)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 86, "end_line": 385, "start_col": 0, "start_line": 383 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "FStar.FiniteSet.Base.equal", "Prims.b2t", "FStar.FiniteSet.Base.mem" ]
[]
false
false
false
true
true
let equal_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern equal s1 s2} equal s1 s2 <==> (forall o. {:pattern mem o s1\/mem o s2} mem o s1 <==> mem o s2)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.subset_fact
val subset_fact : Prims.logical
let subset_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern subset s1 s2} subset s1 s2 <==> (forall o.{:pattern mem o s1 \/ mem o s2} mem o s1 ==> mem o s2)
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 86, "end_line": 376, "start_col": 0, "start_line": 374 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "FStar.FiniteSet.Base.subset", "Prims.l_imp", "Prims.b2t", "FStar.FiniteSet.Base.mem" ]
[]
false
false
false
true
true
let subset_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern subset s1 s2} subset s1 s2 <==> (forall o. {:pattern mem o s1\/mem o s2} mem o s1 ==> mem o s2)
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.insert_member_cardinality_fact
val insert_member_cardinality_fact : Prims.logical
let insert_member_cardinality_fact = forall (a: eqtype) (s: set a) (x: a).{:pattern cardinality (insert x s)} mem x s ==> cardinality (insert x s) = cardinality s
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 56, "end_line": 234, "start_col": 0, "start_line": 232 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "FStar.FiniteSet.Base.mem", "Prims.op_Equality", "Prims.nat", "FStar.FiniteSet.Base.cardinality", "FStar.FiniteSet.Base.insert" ]
[]
false
false
false
true
true
let insert_member_cardinality_fact =
forall (a: eqtype) (s: set a) (x: a). {:pattern cardinality (insert x s)} mem x s ==> cardinality (insert x s) = cardinality s
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.disjoint_fact
val disjoint_fact : Prims.logical
let disjoint_fact = forall (a: eqtype) (s1: set a) (s2: set a).{:pattern disjoint s1 s2} disjoint s1 s2 <==> (forall o.{:pattern mem o s1 \/ mem o s2} not (mem o s1) \/ not (mem o s2))
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 99, "end_line": 403, "start_col": 0, "start_line": 401 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_iff", "FStar.FiniteSet.Base.disjoint", "Prims.l_or", "Prims.b2t", "Prims.op_Negation", "FStar.FiniteSet.Base.mem" ]
[]
false
false
false
true
true
let disjoint_fact =
forall (a: eqtype) (s1: set a) (s2: set a). {:pattern disjoint s1 s2} disjoint s1 s2 <==> (forall o. {:pattern mem o s1\/mem o s2} not (mem o s1) \/ not (mem o s2))
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.remove_insert_fact
val remove_insert_fact : Prims.logical
let remove_insert_fact = forall (a: eqtype) (x: a) (s: set a).{:pattern remove x (insert x s)} mem x s = false ==> remove x (insert x s) == s
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 50, "end_line": 413, "start_col": 0, "start_line": 411 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.l_imp", "Prims.b2t", "Prims.op_Equality", "Prims.bool", "FStar.FiniteSet.Base.mem", "Prims.eq2", "FStar.FiniteSet.Base.remove", "FStar.FiniteSet.Base.insert" ]
[]
false
false
false
true
true
let remove_insert_fact =
forall (a: eqtype) (x: a) (s: set a). {:pattern remove x (insert x s)} mem x s = false ==> remove x (insert x s) == s
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.all_finite_set_facts
val all_finite_set_facts : Prims.logical
let all_finite_set_facts = empty_set_contains_no_elements_fact /\ length_zero_fact /\ singleton_contains_argument_fact /\ singleton_contains_fact /\ singleton_cardinality_fact /\ insert_fact /\ insert_contains_argument_fact /\ insert_contains_fact /\ insert_member_cardinality_fact /\ insert_nonmem...
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 33, "end_line": 454, "start_col": 0, "start_line": 424 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_and", "FStar.FiniteSet.Base.empty_set_contains_no_elements_fact", "FStar.FiniteSet.Base.length_zero_fact", "FStar.FiniteSet.Base.singleton_contains_argument_fact", "FStar.FiniteSet.Base.singleton_contains_fact", "FStar.FiniteSet.Base.singleton_cardinality_fact", "FStar.FiniteSet.Base.insert_fac...
[]
false
false
false
true
true
let all_finite_set_facts =
empty_set_contains_no_elements_fact /\ length_zero_fact /\ singleton_contains_argument_fact /\ singleton_contains_fact /\ singleton_cardinality_fact /\ insert_fact /\ insert_contains_argument_fact /\ insert_contains_fact /\ insert_member_cardinality_fact /\ insert_nonmember_cardinality_fact /\ union_contains_fact /\ un...
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.proj_point_to_list
val proj_point_to_list (p: S.proj_point) : point_list
val proj_point_to_list (p: S.proj_point) : point_list
let proj_point_to_list (p:S.proj_point) : point_list = [@inline_let] let (px, py, pz) = p in [@inline_let] let pxM = SM.to_mont px in [@inline_let] let pyM = SM.to_mont py in [@inline_let] let pzM = SM.to_mont pz in FL.(felem_to_list pxM @ felem_to_list pyM @ felem_to_list pzM)
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 64, "end_line": 39, "start_col": 0, "start_line": 34 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" unfold let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; ...
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
p: Spec.P256.PointOps.proj_point -> Hacl.Spec.P256.PrecompTable.point_list
Prims.Tot
[ "total" ]
[]
[ "Spec.P256.PointOps.proj_point", "Prims.nat", "FStar.List.Tot.Base.op_At", "Lib.IntTypes.uint64", "Hacl.Spec.P256.PrecompTable.felem_to_list", "Spec.P256.PointOps.felem", "Hacl.Spec.P256.Montgomery.to_mont", "Hacl.Spec.P256.PrecompTable.point_list" ]
[]
false
false
false
true
false
let proj_point_to_list (p: S.proj_point) : point_list =
[@@ inline_let ]let px, py, pz = p in [@@ inline_let ]let pxM = SM.to_mont px in [@@ inline_let ]let pyM = SM.to_mont py in [@@ inline_let ]let pzM = SM.to_mont pz in let open FL in felem_to_list pxM @ felem_to_list pyM @ felem_to_list pzM
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.point_inv_list
val point_inv_list : p: Hacl.Spec.P256.PrecompTable.point_list -> Prims.logical
let point_inv_list (p:point_list) = let x = Seq.seq_of_list p <: lseq uint64 12 in point_inv_seq x
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 17, "end_line": 44, "start_col": 0, "start_line": 42 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" unfold let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; ...
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
p: Hacl.Spec.P256.PrecompTable.point_list -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.P256.PrecompTable.point_list", "Hacl.Impl.P256.Point.point_inv_seq", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "FStar.Seq.Base.seq_of_list", "Lib.IntTypes.uint64", "Prims.logical" ]
[]
false
false
false
true
true
let point_inv_list (p: point_list) =
let x = Seq.seq_of_list p <: lseq uint64 12 in point_inv_seq x
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.felem_to_list
val felem_to_list (x: S.felem) : felem_list
val felem_to_list (x: S.felem) : felem_list
let felem_to_list (x:S.felem) : felem_list = [@inline_let] let x0 = x % pow2 64 in [@inline_let] let x1 = x / pow2 64 % pow2 64 in [@inline_let] let x2 = x / pow2 128 % pow2 64 in [@inline_let] let x3 = x / pow2 192 % pow2 64 in [@inline_let] let r = create4 (u64 x0) (u64 x1) (u64 x2) (u64 x3) in assert_nor...
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 31, "start_col": 0, "start_line": 24 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" unfold let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; ...
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
x: Spec.P256.PointOps.felem -> Hacl.Spec.P256.PrecompTable.felem_list
Prims.Tot
[ "total" ]
[]
[ "Spec.P256.PointOps.felem", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_Equality", "Prims.int", "FStar.List.Tot.Base.length", "Lib.IntTypes.uint64", "Prims.list", "Lib.IntTypes.int_t", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Hacl.Spec.P256.PrecompTable.create4", "...
[]
false
false
false
true
false
let felem_to_list (x: S.felem) : felem_list =
[@@ inline_let ]let x0 = x % pow2 64 in [@@ inline_let ]let x1 = x / pow2 64 % pow2 64 in [@@ inline_let ]let x2 = x / pow2 128 % pow2 64 in [@@ inline_let ]let x3 = x / pow2 192 % pow2 64 in [@@ inline_let ]let r = create4 (u64 x0) (u64 x1) (u64 x2) (u64 x3) in assert_norm (FL.length r = 4); r
false
FStar.FiniteSet.Base.fsti
FStar.FiniteSet.Base.set_as_list_cardinality_fact
val set_as_list_cardinality_fact : Prims.logical
let set_as_list_cardinality_fact = forall (a: eqtype) (s: set a).{:pattern FLT.length (set_as_list s)} FLT.length (set_as_list s) = cardinality s
{ "file_name": "ulib/FStar.FiniteSet.Base.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 46, "end_line": 417, "start_col": 0, "start_line": 415 }
(* Copyright 2008-2021 John Li, Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 c...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.FunctionalExtensionality.fsti.checked" ], "interface_file": false, "source_file": "FStar.FiniteSet.Base.fsti" }
[ { "abbrev": false, "full_module": "FStar.FunctionalExtensionality", "short_module": null }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, ...
{ "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.logical
Prims.Tot
[ "total" ]
[]
[ "Prims.l_Forall", "Prims.eqtype", "FStar.FiniteSet.Base.set", "Prims.b2t", "Prims.op_Equality", "Prims.nat", "FStar.List.Tot.Base.length", "FStar.FiniteSet.Base.set_as_list", "FStar.FiniteSet.Base.cardinality" ]
[]
false
false
false
true
true
let set_as_list_cardinality_fact =
forall (a: eqtype) (s: set a). {:pattern FLT.length (set_as_list s)} FLT.length (set_as_list s) = cardinality s
false
Hacl.Spec.P256.PrecompTable.fsti
Hacl.Spec.P256.PrecompTable.point_eval_list
val point_eval_list : p: Hacl.Spec.P256.PrecompTable.point_list -> Spec.P256.PointOps.proj_point
let point_eval_list (p:point_list) = let x = Seq.seq_of_list p <: lseq uint64 12 in from_mont_point (as_point_nat_seq x)
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.PrecompTable.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 49, "start_col": 0, "start_line": 47 }
module Hacl.Spec.P256.PrecompTable open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Impl.P256.Point module S = Spec.P256 module SM = Hacl.Spec.P256.Montgomery module FL = FStar.List.Tot #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" unfold let create4 (x0 x1 x2 x3:uint64) : list uint64 = [x0; x1; x2; ...
{ "checked_file": "/", "dependencies": [ "Spec.P256.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.P256.Montgomery.fsti.checked", "Hacl.Impl.P256.Point.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", ...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FL" }, { "abbrev": true, "full_module": "Hacl.Spec.P256.Montgomery", "short_module": "SM" }, { "abbrev": true, "full_module": "Spec.P256", "short_module": "S" }, { "abbrev": false, "full_modul...
{ "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
p: Hacl.Spec.P256.PrecompTable.point_list -> Spec.P256.PointOps.proj_point
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.P256.PrecompTable.point_list", "Hacl.Impl.P256.Point.from_mont_point", "Hacl.Impl.P256.Point.as_point_nat_seq", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "FStar.Seq.Base.seq_of_list", "Lib.IntTypes.uint64", "Spec.P256.PointOps.proj_point" ]
[]
false
false
false
true
false
let point_eval_list (p: point_list) =
let x = Seq.seq_of_list p <: lseq uint64 12 in from_mont_point (as_point_nat_seq x)
false
LowParse.TestLib.SLow.fst
LowParse.TestLib.SLow.test_string
val test_string (t: test_t) (testname inputstring: string) : Stack unit (fun _ -> true) (fun _ _ _ -> true)
val test_string (t: test_t) (testname inputstring: string) : Stack unit (fun _ -> true) (fun _ _ _ -> true)
let test_string (t:test_t) (testname:string) (inputstring:string): Stack unit (fun _ -> true) (fun _ _ _ -> true) = push_frame(); let input = bytes_of_hex inputstring in test_bytes t testname input; pop_frame()
{ "file_name": "src/lowparse/LowParse.TestLib.SLow.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 13, "end_line": 48, "start_col": 0, "start_line": 44 }
module LowParse.TestLib.SLow open FStar.HyperStack.ST open FStar.Bytes open FStar.HyperStack.IO open FStar.Printf module U32 = FStar.UInt32 #reset-options "--using_facts_from '* -LowParse'" #reset-options "--z3cliopt smt.arith.nl=false" (** The type of a unit test. It takes an input Bytes, parses it, and retur...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.IO.fst.checked", "FStar.Bytes.fsti.checked" ], "interface_file": false, "sou...
[ { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": false, "full_module": "FStar.Printf", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.IO", "short_module": null }, { "abbrev": false, "full_module...
{ "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
t: LowParse.TestLib.SLow.test_t -> testname: Prims.string -> inputstring: Prims.string -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "LowParse.TestLib.SLow.test_t", "Prims.string", "FStar.HyperStack.ST.pop_frame", "Prims.unit", "LowParse.TestLib.SLow.test_bytes", "FStar.Bytes.bytes", "FStar.Bytes.bytes_of_hex", "FStar.HyperStack.ST.push_frame", "FStar.Monotonic.HyperStack.mem", "Prims.b2t" ]
[]
false
true
false
false
false
let test_string (t: test_t) (testname inputstring: string) : Stack unit (fun _ -> true) (fun _ _ _ -> true) =
push_frame (); let input = bytes_of_hex inputstring in test_bytes t testname input; pop_frame ()
false
LowParse.TestLib.SLow.fst
LowParse.TestLib.SLow.test_file
val test_file (t: test_t) (filename: string) : Stack unit (fun _ -> true) (fun _ _ _ -> true)
val test_file (t: test_t) (filename: string) : Stack unit (fun _ -> true) (fun _ _ _ -> true)
let test_file (t:test_t) (filename:string): Stack unit (fun _ -> true) (fun _ _ _ -> true) = push_frame(); let input = load_file filename in test_bytes t filename input; pop_frame()
{ "file_name": "src/lowparse/LowParse.TestLib.SLow.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 13, "end_line": 55, "start_col": 0, "start_line": 51 }
module LowParse.TestLib.SLow open FStar.HyperStack.ST open FStar.Bytes open FStar.HyperStack.IO open FStar.Printf module U32 = FStar.UInt32 #reset-options "--using_facts_from '* -LowParse'" #reset-options "--z3cliopt smt.arith.nl=false" (** The type of a unit test. It takes an input Bytes, parses it, and retur...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.IO.fst.checked", "FStar.Bytes.fsti.checked" ], "interface_file": false, "sou...
[ { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": false, "full_module": "FStar.Printf", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.IO", "short_module": null }, { "abbrev": false, "full_module...
{ "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
t: LowParse.TestLib.SLow.test_t -> filename: Prims.string -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "LowParse.TestLib.SLow.test_t", "Prims.string", "FStar.HyperStack.ST.pop_frame", "Prims.unit", "LowParse.TestLib.SLow.test_bytes", "FStar.Bytes.bytes", "LowParse.TestLib.SLow.load_file", "FStar.HyperStack.ST.push_frame", "FStar.Monotonic.HyperStack.mem", "Prims.b2t" ]
[]
false
true
false
false
false
let test_file (t: test_t) (filename: string) : Stack unit (fun _ -> true) (fun _ _ _ -> true) =
push_frame (); let input = load_file filename in test_bytes t filename input; pop_frame ()
false
LowParse.TestLib.SLow.fst
LowParse.TestLib.SLow.test_bytes
val test_bytes (t: test_t) (testname: string) (input: FStar.Bytes.bytes) : Stack unit (fun _ -> true) (fun _ _ _ -> true)
val test_bytes (t: test_t) (testname: string) (input: FStar.Bytes.bytes) : Stack unit (fun _ -> true) (fun _ _ _ -> true)
let test_bytes (t:test_t) (testname:string) (input:FStar.Bytes.bytes): Stack unit (fun _ -> true) (fun _ _ _ -> true) = push_frame(); print_string (sprintf "==== Testing Bytes %s ====\n" testname); let result = t input in (match result with | Some (formattedresult, offset) -> ( if U32.gt offset (len input...
{ "file_name": "src/lowparse/LowParse.TestLib.SLow.fst", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 13, "end_line": 41, "start_col": 0, "start_line": 21 }
module LowParse.TestLib.SLow open FStar.HyperStack.ST open FStar.Bytes open FStar.HyperStack.IO open FStar.Printf module U32 = FStar.UInt32 #reset-options "--using_facts_from '* -LowParse'" #reset-options "--z3cliopt smt.arith.nl=false" (** The type of a unit test. It takes an input Bytes, parses it, and retur...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.IO.fst.checked", "FStar.Bytes.fsti.checked" ], "interface_file": false, "sou...
[ { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": false, "full_module": "FStar.Printf", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.IO", "short_module": null }, { "abbrev": false, "full_module...
{ "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
t: LowParse.TestLib.SLow.test_t -> testname: Prims.string -> input: FStar.Bytes.bytes -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "LowParse.TestLib.SLow.test_t", "Prims.string", "FStar.Bytes.bytes", "FStar.HyperStack.ST.pop_frame", "Prims.unit", "FStar.HyperStack.IO.print_string", "FStar.Printf.sprintf", "FStar.UInt32.t", "FStar.UInt32.gt", "FStar.Bytes.len", "Prims.bool", "Prims.op_Equality", "Prims.eq2", "FStar.Seq...
[]
false
true
false
false
false
let test_bytes (t: test_t) (testname: string) (input: FStar.Bytes.bytes) : Stack unit (fun _ -> true) (fun _ _ _ -> true) =
push_frame (); print_string (sprintf "==== Testing Bytes %s ====\n" testname); let result = t input in (match result with | Some (formattedresult, offset) -> (if U32.gt offset (len input) then (print_string "Invalid length return - it is longer than the input buffer!") else (let inputslice = F...
false
LowParse.Spec.Int.fsti
LowParse.Spec.Int.parse_u8_kind
val parse_u8_kind:parser_kind
val parse_u8_kind:parser_kind
let parse_u8_kind : parser_kind = total_constant_size_parser_kind 1
{ "file_name": "src/lowparse/LowParse.Spec.Int.fsti", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 67, "end_line": 12, "start_col": 0, "start_line": 12 }
module LowParse.Spec.Int include LowParse.Spec.Base module Seq = FStar.Seq module E = FStar.Endianness module U8 = FStar.UInt8 module U16 = FStar.UInt16 module U32 = FStar.UInt32 module U64 = FStar.UInt64
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt16.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.End...
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": true, "full_module": "FSta...
{ "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
LowParse.Spec.Base.parser_kind
Prims.Tot
[ "total" ]
[]
[ "LowParse.Spec.Base.total_constant_size_parser_kind" ]
[]
false
false
false
true
false
let parse_u8_kind:parser_kind =
total_constant_size_parser_kind 1
false
LowParse.Spec.Int.fsti
LowParse.Spec.Int.parse_u8
val parse_u8:parser parse_u8_kind U8.t
val parse_u8:parser parse_u8_kind U8.t
let parse_u8: parser parse_u8_kind U8.t = tot_parse_u8
{ "file_name": "src/lowparse/LowParse.Spec.Int.fsti", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 54, "end_line": 16, "start_col": 0, "start_line": 16 }
module LowParse.Spec.Int include LowParse.Spec.Base module Seq = FStar.Seq module E = FStar.Endianness module U8 = FStar.UInt8 module U16 = FStar.UInt16 module U32 = FStar.UInt32 module U64 = FStar.UInt64 inline_for_extraction let parse_u8_kind : parser_kind = total_constant_size_parser_kind 1 val tot_parse_u8: tot...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt16.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.End...
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": true, "full_module": "FSta...
{ "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
LowParse.Spec.Base.parser LowParse.Spec.Int.parse_u8_kind FStar.UInt8.t
Prims.Tot
[ "total" ]
[]
[ "LowParse.Spec.Int.tot_parse_u8" ]
[]
false
false
false
true
false
let parse_u8:parser parse_u8_kind U8.t =
tot_parse_u8
false
LowParse.Spec.Int.fsti
LowParse.Spec.Int.parse_u32_kind
val parse_u32_kind:parser_kind
val parse_u32_kind:parser_kind
let parse_u32_kind : parser_kind = total_constant_size_parser_kind 4
{ "file_name": "src/lowparse/LowParse.Spec.Int.fsti", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 35, "end_line": 76, "start_col": 0, "start_line": 75 }
module LowParse.Spec.Int include LowParse.Spec.Base module Seq = FStar.Seq module E = FStar.Endianness module U8 = FStar.UInt8 module U16 = FStar.UInt16 module U32 = FStar.UInt32 module U64 = FStar.UInt64 inline_for_extraction let parse_u8_kind : parser_kind = total_constant_size_parser_kind 1 val tot_parse_u8: tot...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt16.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.End...
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": true, "full_module": "FSta...
{ "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
LowParse.Spec.Base.parser_kind
Prims.Tot
[ "total" ]
[]
[ "LowParse.Spec.Base.total_constant_size_parser_kind" ]
[]
false
false
false
true
false
let parse_u32_kind:parser_kind =
total_constant_size_parser_kind 4
false
LowParse.Spec.Int.fsti
LowParse.Spec.Int.parse_u16_kind
val parse_u16_kind:parser_kind
val parse_u16_kind:parser_kind
let parse_u16_kind : parser_kind = total_constant_size_parser_kind 2
{ "file_name": "src/lowparse/LowParse.Spec.Int.fsti", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 35, "end_line": 57, "start_col": 0, "start_line": 56 }
module LowParse.Spec.Int include LowParse.Spec.Base module Seq = FStar.Seq module E = FStar.Endianness module U8 = FStar.UInt8 module U16 = FStar.UInt16 module U32 = FStar.UInt32 module U64 = FStar.UInt64 inline_for_extraction let parse_u8_kind : parser_kind = total_constant_size_parser_kind 1 val tot_parse_u8: tot...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt16.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.End...
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": true, "full_module": "FSta...
{ "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
LowParse.Spec.Base.parser_kind
Prims.Tot
[ "total" ]
[]
[ "LowParse.Spec.Base.total_constant_size_parser_kind" ]
[]
false
false
false
true
false
let parse_u16_kind:parser_kind =
total_constant_size_parser_kind 2
false
LowParse.Spec.Int.fsti
LowParse.Spec.Int.parse_u64_kind
val parse_u64_kind:parser_kind
val parse_u64_kind:parser_kind
let parse_u64_kind : parser_kind = total_constant_size_parser_kind 8
{ "file_name": "src/lowparse/LowParse.Spec.Int.fsti", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 35, "end_line": 95, "start_col": 0, "start_line": 94 }
module LowParse.Spec.Int include LowParse.Spec.Base module Seq = FStar.Seq module E = FStar.Endianness module U8 = FStar.UInt8 module U16 = FStar.UInt16 module U32 = FStar.UInt32 module U64 = FStar.UInt64 inline_for_extraction let parse_u8_kind : parser_kind = total_constant_size_parser_kind 1 val tot_parse_u8: tot...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt16.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.End...
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": true, "full_module": "FSta...
{ "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
LowParse.Spec.Base.parser_kind
Prims.Tot
[ "total" ]
[]
[ "LowParse.Spec.Base.total_constant_size_parser_kind" ]
[]
false
false
false
true
false
let parse_u64_kind:parser_kind =
total_constant_size_parser_kind 8
false
LowParse.Spec.Int.fsti
LowParse.Spec.Int.serialize_u8_spec'
val serialize_u8_spec' (x: U8.t) : Lemma (let s = serialize serialize_u8 x in Seq.length s == 1 /\ Seq.index s 0 == x)
val serialize_u8_spec' (x: U8.t) : Lemma (let s = serialize serialize_u8 x in Seq.length s == 1 /\ Seq.index s 0 == x)
let serialize_u8_spec' (x: U8.t) : Lemma (let s = serialize serialize_u8 x in Seq.length s == 1 /\ Seq.index s 0 == x) = serialize_u8_spec x
{ "file_name": "src/lowparse/LowParse.Spec.Int.fsti", "git_rev": "00217c4a89f5ba56002ba9aa5b4a9d5903bfe9fa", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
{ "end_col": 21, "end_line": 53, "start_col": 0, "start_line": 47 }
module LowParse.Spec.Int include LowParse.Spec.Base module Seq = FStar.Seq module E = FStar.Endianness module U8 = FStar.UInt8 module U16 = FStar.UInt16 module U32 = FStar.UInt32 module U64 = FStar.UInt64 inline_for_extraction let parse_u8_kind : parser_kind = total_constant_size_parser_kind 1 val tot_parse_u8: tot...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.UInt16.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.End...
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": true, "full_module": "FSta...
{ "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: FStar.UInt8.t -> FStar.Pervasives.Lemma (ensures (let s = LowParse.Spec.Base.serialize LowParse.Spec.Int.serialize_u8 x in FStar.Seq.Base.length s == 1 /\ FStar.Seq.Base.index s 0 == x))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.UInt8.t", "LowParse.Spec.Int.serialize_u8_spec", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_and", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "FStar.Seq.Base.index", "LowParse.Bytes.bytes", "LowParse.Spec.Base.serialize", "LowParse.Spec.Int....
[]
true
false
true
false
false
let serialize_u8_spec' (x: U8.t) : Lemma (let s = serialize serialize_u8 x in Seq.length s == 1 /\ Seq.index s 0 == x) =
serialize_u8_spec x
false
Pulse.Checker.Exists.fst
Pulse.Checker.Exists.terms_to_string
val terms_to_string (t: list term) : T.Tac string
val terms_to_string (t: list term) : T.Tac string
let terms_to_string (t:list term) : T.Tac string = String.concat "\n" (T.map Pulse.Syntax.Printer.term_to_string t)
{ "file_name": "lib/steel/pulse/Pulse.Checker.Exists.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 68, "end_line": 41, "start_col": 0, "start_line": 39 }
(* Copyright 2023 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 applicable law or agreed to...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.FV.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.Combinators.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pul...
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.FV", "short_module": "FV" }, { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": true...
{ "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
t: Prims.list Pulse.Syntax.Base.term -> FStar.Tactics.Effect.Tac Prims.string
FStar.Tactics.Effect.Tac
[]
[]
[ "Prims.list", "Pulse.Syntax.Base.term", "FStar.String.concat", "Prims.string", "FStar.Tactics.Util.map", "Pulse.Syntax.Printer.term_to_string" ]
[]
false
true
false
false
false
let terms_to_string (t: list term) : T.Tac string =
String.concat "\n" (T.map Pulse.Syntax.Printer.term_to_string t)
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.mk_felem_zero
val mk_felem_zero: b:F51.felem -> Stack unit (requires fun h -> live h b) (ensures fun h0 _ h1 -> modifies (loc b) h0 h1 /\ F51.mul_inv_t h1 b /\ F51.fevalh h1 b == SC.zero)
val mk_felem_zero: b:F51.felem -> Stack unit (requires fun h -> live h b) (ensures fun h0 _ h1 -> modifies (loc b) h0 h1 /\ F51.mul_inv_t h1 b /\ F51.fevalh h1 b == SC.zero)
let mk_felem_zero b = Hacl.Bignum25519.make_zero b
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 30, "end_line": 37, "start_col": 0, "start_line": 36 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
b: Hacl.Impl.Ed25519.Field51.felem -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Impl.Ed25519.Field51.felem", "Hacl.Bignum25519.make_zero", "Prims.unit" ]
[]
false
true
false
false
false
let mk_felem_zero b =
Hacl.Bignum25519.make_zero b
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.mk_point_at_inf
val mk_point_at_inf: p:F51.point -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ F51.point_inv_t h1 p /\ F51.inv_ext_point (as_seq h1 p) /\ SE.to_aff_point (F51.point_eval h1 p) == SE.aff_point_at_infinity)
val mk_point_at_inf: p:F51.point -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ F51.point_inv_t h1 p /\ F51.inv_ext_point (as_seq h1 p) /\ SE.to_aff_point (F51.point_eval h1 p) == SE.aff_point_at_infinity)
let mk_point_at_inf p = Hacl.Impl.Ed25519.PointConstants.make_point_inf p
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 51, "end_line": 236, "start_col": 0, "start_line": 235 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
p: Hacl.Impl.Ed25519.Field51.point -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Impl.Ed25519.Field51.point", "Hacl.Impl.Ed25519.PointConstants.make_point_inf", "Prims.unit" ]
[]
false
true
false
false
false
let mk_point_at_inf p =
Hacl.Impl.Ed25519.PointConstants.make_point_inf p
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.mk_felem_one
val mk_felem_one: b:F51.felem -> Stack unit (requires fun h -> live h b) (ensures fun h0 _ h1 -> modifies (loc b) h0 h1 /\ F51.mul_inv_t h1 b /\ F51.fevalh h1 b == SC.one)
val mk_felem_one: b:F51.felem -> Stack unit (requires fun h -> live h b) (ensures fun h0 _ h1 -> modifies (loc b) h0 h1 /\ F51.mul_inv_t h1 b /\ F51.fevalh h1 b == SC.one)
let mk_felem_one b = Hacl.Bignum25519.make_one b
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 29, "end_line": 51, "start_col": 0, "start_line": 50 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
b: Hacl.Impl.Ed25519.Field51.felem -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Impl.Ed25519.Field51.felem", "Hacl.Bignum25519.make_one", "Prims.unit" ]
[]
false
true
false
false
false
let mk_felem_one b =
Hacl.Bignum25519.make_one b
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.mk_base_point
val mk_base_point: p:F51.point -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ F51.point_inv_t h1 p /\ F51.inv_ext_point (as_seq h1 p) /\ SE.to_aff_point (F51.point_eval h1 p) == SE.aff_g)
val mk_base_point: p:F51.point -> Stack unit (requires fun h -> live h p) (ensures fun h0 _ h1 -> modifies (loc p) h0 h1 /\ F51.point_inv_t h1 p /\ F51.inv_ext_point (as_seq h1 p) /\ SE.to_aff_point (F51.point_eval h1 p) == SE.aff_g)
let mk_base_point p = Spec.Ed25519.Lemmas.g_is_on_curve (); Hacl.Impl.Ed25519.PointConstants.make_g p
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 43, "end_line": 251, "start_col": 0, "start_line": 249 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
p: Hacl.Impl.Ed25519.Field51.point -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Impl.Ed25519.Field51.point", "Hacl.Impl.Ed25519.PointConstants.make_g", "Prims.unit", "Spec.Ed25519.Lemmas.g_is_on_curve" ]
[]
false
true
false
false
false
let mk_base_point p =
Spec.Ed25519.Lemmas.g_is_on_curve (); Hacl.Impl.Ed25519.PointConstants.make_g p
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.felem_load
val felem_load: b:lbuffer uint8 32ul -> out:F51.felem -> Stack unit (requires fun h -> live h b /\ live h out) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ F51.mul_inv_t h1 out /\ F51.as_nat h1 out == Lib.ByteSequence.nat_from_bytes_le (as_seq h0 b) % pow2 255)
val felem_load: b:lbuffer uint8 32ul -> out:F51.felem -> Stack unit (requires fun h -> live h b /\ live h out) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ F51.mul_inv_t h1 out /\ F51.as_nat h1 out == Lib.ByteSequence.nat_from_bytes_le (as_seq h0 b) % pow2 255)
let felem_load b out = Hacl.Bignum25519.load_51 out b
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 32, "end_line": 192, "start_col": 0, "start_line": 191 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
b: Lib.Buffer.lbuffer Lib.IntTypes.uint8 32ul -> out: Hacl.Impl.Ed25519.Field51.felem -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "Hacl.Impl.Ed25519.Field51.felem", "Hacl.Bignum25519.load_51", "Prims.unit" ]
[]
false
true
false
false
false
let felem_load b out =
Hacl.Bignum25519.load_51 out b
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.felem_store
val felem_store: a:F51.felem -> out:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h a /\ live h out /\ F51.mul_inv_t h a) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ as_seq h1 out == Lib.ByteSequence.nat_to_bytes_le 32 (F51.fevalh h0 a))
val felem_store: a:F51.felem -> out:lbuffer uint8 32ul -> Stack unit (requires fun h -> live h a /\ live h out /\ F51.mul_inv_t h a) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ as_seq h1 out == Lib.ByteSequence.nat_to_bytes_le 32 (F51.fevalh h0 a))
let felem_store a out = Hacl.Bignum25519.store_51 out a
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 33, "end_line": 212, "start_col": 0, "start_line": 211 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
a: Hacl.Impl.Ed25519.Field51.felem -> out: Lib.Buffer.lbuffer Lib.IntTypes.uint8 32ul -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Impl.Ed25519.Field51.felem", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "Hacl.Bignum25519.store_51", "Prims.unit" ]
[]
false
true
false
false
false
let felem_store a out =
Hacl.Bignum25519.store_51 out a
false
Hacl.EC.Ed25519.fst
Hacl.EC.Ed25519.felem_inv
val felem_inv: a:F51.felem -> out:F51.felem -> Stack unit (requires fun h -> live h a /\ live h out /\ disjoint a out /\ F51.mul_inv_t h a) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ F51.mul_inv_t h1 out /\ F51.fevalh h1 out == SC.fpow (F51.fevalh h0 a) (SC.prime - 2))
val felem_inv: a:F51.felem -> out:F51.felem -> Stack unit (requires fun h -> live h a /\ live h out /\ disjoint a out /\ F51.mul_inv_t h a) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ F51.mul_inv_t h1 out /\ F51.fevalh h1 out == SC.fpow (F51.fevalh h0 a) (SC.prime - 2))
let felem_inv a out = Hacl.Bignum25519.inverse out a; Hacl.Bignum25519.reduce_513 out
{ "file_name": "code/ed25519/Hacl.EC.Ed25519.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 33, "end_line": 171, "start_col": 0, "start_line": 169 }
module Hacl.EC.Ed25519 open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer module ST = FStar.HyperStack.ST module F51 = Hacl.Impl.Ed25519.Field51 module SE = Spec.Ed25519 module SC = Spec.Curve25519 module ML = Hacl.Impl.Ed25519.Ladder #set-options "--z3rlimit 50 --fuel 0...
{ "checked_file": "/", "dependencies": [ "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "Spec.Curve25519.fst.checked", "prims.fst.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Ed25519.PointNegate.fst.che...
[ { "abbrev": true, "full_module": "Hacl.Impl.Ed25519.Ladder", "short_module": "ML" }, { "abbrev": true, "full_module": "Spec.Curve25519", "short_module": "SC" }, { "abbrev": true, "full_module": "Spec.Ed25519", "short_module": "SE" }, { "abbrev": true, "full_mo...
{ "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
a: Hacl.Impl.Ed25519.Field51.felem -> out: Hacl.Impl.Ed25519.Field51.felem -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Impl.Ed25519.Field51.felem", "Hacl.Bignum25519.reduce_513", "Prims.unit", "Hacl.Bignum25519.inverse" ]
[]
false
true
false
false
false
let felem_inv a out =
Hacl.Bignum25519.inverse out a; Hacl.Bignum25519.reduce_513 out
false