blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0afdb443d40a45d1ba2d5caa07fd14cfdd18996a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/nonarchimedean/basic.lean | 8f6d94f28a25a1690ecaaccdfaf28c54b89de396 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,396 | lean | /-
Copyright (c) 2021 Ashwin Iyengar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Ashwin Iyengar, Patrick Massot
-/
import group_theory.subgroup.basic
import topology.algebra.open_subgroup
import topology.algebra.ring.basic
/-!
# Nona... |
f4f361e52e5999413f9d94e95d673a70a5a31e31 | 99b5e6372af1f404777312358869f95be7de84a3 | /src/hott/types/nat/hott.lean | 5efa9e7919581b44d3f62503b7e9425762f86b2c | [
"Apache-2.0"
] | permissive | forked-from-1kasper/hott3 | 8fa064ab5e8c9d6752a783d74ab226ddc5b5232a | 2db24de7a361a7793b0eae4ca5c3fd4d4a0fc691 | refs/heads/master | 1,584,867,131,028 | 1,530,766,841,000 | 1,530,766,841,000 | 139,797,034 | 0 | 0 | Apache-2.0 | 1,530,766,961,000 | 1,530,766,961,000 | null | UTF-8 | Lean | false | false | 9,451 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about the natural numbers specific to HoTT
-/
import .order ..pointed .sub
universes u v w
hott_theory
namespace hott
open nat is_trunc hott.algebra hott.i... |
0fb2e1bf95bbf496b8e835f23e820f1c481c8ae1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/fintype/basic.lean | f323070c5ba65f41f4d41952c075aa9732ddbb55 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 90,706 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.array.lemmas
import data.finset.fin
import data.finset.option
import data.finset.pi
import data.finset.powerset
import data.finset.prod
import data.finset... |
ddf2919895c63f12c2bb345d056c637d86975730 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/char_p.lean | 342390dd09494831a8e72e567f830f96ce52ed65 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 8,677 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
Characteristic of semirings.
-/
import data.padics.padic_norm data.nat.choose data.fintype
import data.zmod.basic algebra.module
universes u v
/--... |
f39e81d856d881d599faf85f3cc607c396623ede | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/pempty_instances.lean | bacafd4d32d1e0c1d2b1f6c2b47ea1c509ba391f | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 495 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.module.basic
/-!
# Instances on pempty
This file collects facts about algebraic structures on the (universe-polymorphic) empty type, e.g.
th... |
351a51ed6547709225b1a305d54e96d400f80e1b | 38193807b9085b93599c814229d2b0dacb64ba22 | /benchmarks/diverge/Diverge.lean | 4cc495208bd42157227d3053a5400b974a88f65f | [] | no_license | zgrannan/rest-old | d650363e403a9d5322fb44ee892b743aec558e1b | 6a6974641b25259cb8701af4302169db22b33b6b | refs/heads/master | 1,670,816,037,466 | 1,599,571,928,000 | 1,599,571,928,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 340 | lean | open nat
mutual def f,g
with f : ℕ → ℕ
| (succ x) := have 1 < 1, from sorry, g (succ x)
| zero := zero
with g : ℕ → ℕ
| (succ x) := have x < succ x, from lt_succ_self x, f x
| zero := zero
theorem diverge (x : ℕ): f x = g (succ (succ x)) := sorry
theorem proof (x : ℕ) : g x = f x := begin
simp [diverge]
... |
c089d7259f0778d22ce17765e67039d1b549b950 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Server/Watchdog.lean | 7f6c6dc125a5a7aa77a20ec3a2e9f41d72fbdfd7 | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,537 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Init.Data.ByteArray
import Std.Data.RBMap
import Lean.Elab.Import
import Lean.Data.Lsp
import Lean.Server.FileSource
... |
d4aa0491937fd72536fe87d12dbd4a74bf19e3a5 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/yoneda.lean | be75fce2bd51d4e36863a1fbea94ca80a0c3cb46 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 6,549 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.hom_functor
/-!
# The Yoneda embedding
The Yoneda embedding as a functor `yoneda : C ⥤ (Cᵒᵖ ⥤ Type v₁)`,
along with an instance that it is `f... |
84e07096dcaef74643782ad5dd0aa673b124b476 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/setoid_auto.lean | 0a66c08d040b2257c626feb40f5347c93fbf00e6 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 757 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.logic
universes u l
namespace Mathlib
class setoid (α : Sort u) where
r : α → α → Prop
iseqv : ... |
570145eb62d5c3d00907c495cf0d8ecc9497ee7c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/field_theory/adjoin.lean | c6f2e7dcd0a4aa0db6efc8c9f766c220dd4be540 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,349 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.intermediate_field
import field_theory.splitting_field
import field_theory.separable
import ring_theory.adjoin_root... |
7497f742faee55a5a6ae606b5789ea22df4724ea | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/invertible.lean | e7bf9715b372412fc0520dd48158567c0549e680 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 10,411 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.group.units
import algebra.ring.basic
/-!
# Invertible elements
This file defines a typeclass `invertible a` for elements `a` with a two-sided
multiplicat... |
538170a2f7f8849a2cf2aa3ce202d844cd973b92 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Init/Data/String/Extra.lean | 7b3de051a77c7fb3a91101faa5c5cfec8821b0bf | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 743 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Except
import Init.Data.ByteArray
import Init.Util
namespace String
def toNat! (s : String) : Nat :=
if s.isNat then
s.foldl ... |
1a78dbeefecd03d62b2127406f422ceada370ae5 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/tactic/core.lean | a871a011708e079c8e3606e1037421bf416aa836 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 56,760 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic category.basic meta.expr meta.rb_map data.bool tactic.library_note
namespace expr
open tactic
attr... |
2bebd7ba1c57234f0a1b34578c898140b93849e9 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Meta/Tactic/Intro.lean | 097e64b33a5f2cbf2b8019d604f73967550ad9e0 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,425 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Util
namespace Lean.Meta
@[inline] private partial def introNImp {σ} (mvarId : MVarId) (n : Nat) (mkName : LocalContext → Name → B... |
a19b63354bf88382df306a8ed9065a4073de78f8 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/num/ops.lean | b9b9bc09305cd21bdb597056f4134215ab735b50 | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,032 | lean | ----------------------------------------------------------------------------------------------------
-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
-----------------------------------------------------... |
1f8fd4f357bacefd66d51dc24d86e41a4b69b7f8 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/types/option/dm_option_preliminary_test.lean | 99eeb14d65eab89eaeff4a5e812e76cae32871c8 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 232 | lean | import .dm_option_preliminary
open hidden
def o1 := dm_option.none -- Hmm. Check it.
#check o1
def o2 := dm_option.none bool -- Probably right
def o3 := dm_option.some tt
#reduce p 0
#reduce p 1
#reduce p 0
-- etc
|
de5d71bcf6ff267dfb9137774f517601fac72de9 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/limits/shapes/biproducts.lean | 18cb405f2951e3b266458ec557bf6545c8dd8add | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 81,721 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Jakob von Raumer
-/
import algebra.group.ext
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.binary_products
import category_t... |
1caab42605c74eb038cc1cd32eef7ca696380656 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/subtype.lean | 6bd3b6e6b4b68bb4676a65a3207ab448091d65e9 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 996 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
-/
prelude
import init.datatypes init.logic
open decidable
universe variables u
structure subtype {A : Type u} (P : A → Prop) :=
tag :: (elt_of... |
bd5f03e7f62d0b36d2ac7187df1c74ea456db96c | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/continued_fractions/computation/basic.lean | 30fe9159a3887c62fc4243778ca32b94741788b6 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 7,885 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.basic
import algebra.ordered_field
import algebra.archimedean
/-!
# Computable Continued Fractions
## Summary
We formalise th... |
055a9a1f88ae37f4f9d69bdb2577c13a901f6ca0 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/simplifier18.lean | 7ba2caaafd58047037cf88ffa44d14bb4fa17a98 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 1,015 | lean | -- Basic fusion
import algebra.ring
open algebra
universe l
constants (T : Type.{l}) (s : comm_ring T)
constants (x1 x2 x3 x4 : T) (f g : T → T)
attribute s [instance]
set_option simplify.max_steps 50000
set_option simplify.fuse true
open simplifier.unit simplifier.ac simplifier.neg
#simplify eq env 0 x1 * x2
#simpl... |
8686cf064e61e1304c8115b52fa8a5eea08124ec | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /tests/lean/run/def7.lean | 719bb856c3bb5f2abd52671614d4f2ecd1c348c8 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,406 | lean | inductive InfTree.{u} (α : Type u)
| leaf : α → InfTree α
| node : (Nat → InfTree α) → InfTree α
open InfTree
def szn.{u} {α : Type u} (n : Nat) : InfTree α → InfTree α → Nat
| leaf a, t2 => 1
| node c, leaf b => 0
| node c, node d => szn n (c n) (d n)
universes u
theorem ex1 {α : Type u} (n : Nat) (c : Nat → I... |
f96deffb3baf5913fbc79225f534b3272c2c9e99 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/fintype/sort.lean | 41ce485adc587ef93fa06ca3f8dd4c02d26dd287 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 858 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.fintype.basic
import data.finset.sort
variables {α : Type*}
open finset
/-- Given a linearly ordered fintype `α` of cardinal `k`, the equiv `mono_equiv_... |
2ff365afdcc8ac2b63ba28dcc1a2550612de3fc7 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/compiler/str.lean | 43696454f91fd2d9735730a28d7f34fdc97c3c79 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 949 | lean | #lang lean4
def showChars : Nat → String → String.Pos → IO Unit
| 0, _, _ => pure ()
| n+1, s, idx => do
unless s.atEnd idx do
IO.println (">> " ++ toString (s.get idx)) *>
showChars n s (s.next idx)
def main : IO UInt32 :=
let s₁ := "hello α_world_β";
let b : String.Pos := 0;
let e ... |
8bed1a312a734ecb776ee95c02484020204fa7f6 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/omega/nat/sub_elim.lean | 1e5d457f30287800cc3c8cdff829a606cdd5d8e1 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 5,100 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Subtraction elimination for linear natural number arithmetic.
Works by repeatedly rewriting goals of the form `P[t-s]` into
`P[x] ∧ (t = s + x ∨ (t ≤ s ∧ x = 0))`, where `x` is fr... |
906a2898db33805bd2d4090d9e7a8c27ccb63b0f | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/deps/x86_semantics/src/X86Semantics/Instructions.lean | 30c09773d53bba86b3dcbaed7c92647318209925 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 35,812 | lean | import X86Semantics.Common
-- import system.io
namespace x86
------------------------------------------------------------------------
-- Notation
open mc_semantics
open mc_semantics.type
open reg
open semantics
set_option class.instance_max_depth 1000
notation `pattern` body `pat_end` := mk_pattern body
-- Introd... |
e1a2a11bd64414e22d5d034cf3b2ca5531a98727 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/algebra/ring.lean | cf0391be3cd840db474ab35e8a06003f4e1c8768 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 11,525 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn
-/
import algebra.group data.set.basic
universes u v
variable {α : Type u}
section
variable [semiring α]
theorem mul_two (n : α) : ... |
fe3d4449a36cbc932461cdd6e8d0286dd200eed0 | 8c9f90127b78cbeb5bb17fd6b5db1db2ffa3cbc4 | /deMorgan.lean | d964453eddd43364449f0b53cbc544e78bba078d | [] | no_license | picrin/lean | 420f4d08bb3796b911d56d0938e4410e1da0e072 | 3d10c509c79704aa3a88ebfb24d08b30ce1137cc | refs/heads/master | 1,611,166,610,726 | 1,536,671,438,000 | 1,536,671,438,000 | 60,029,899 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,342 | lean | -- `variable` is an unfortunate name, conflicting
-- with usual meaning of the word.
-- `p` and `q` are *implicit parameters*
-- passed to our functions. (All lemmas and theorems
-- will be functions)
variables p q : Prop
-- These introduction and elimination rules
-- are analogous to and.intro and and.elim,
-- but t... |
6dd498ae4b386920e7be85c4402802b7c2c0525f | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/measure_theory/outer_measure.lean | fae94309036592561dfc9bcbc3ae36d89dcdf3d5 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 19,601 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Outer measures -- overapproximations of measures
-/
import algebra.big_operators algebra.module
topology.instances.ennreal analysis.specific_lim... |
76a941861a1677641b0de5ae74ae68a413c2af6e | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Transform/Basic.lean | c9b9bee7b1004b9f3303630ee958452d2dba0256 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,899 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Mathport.Syntax.Translate.Basic
namespace Mathport
namespace Transform
open Lean Elab Elab.Command
abbrev M := CommandElabM
abbrev Transformer := Syn... |
905facd714da7ed9d811d6afd45a52514e4fad82 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/tactic/congr.lean | 37d5efe57eaef08e284fb1620db86168412944b1 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 8,663 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.lint
import tactic.ext
/-!
# Congruence and related tactics
This file contains the tactic `congr'`, which is an extension of `congr`, and various ... |
b8e9b37398ac519c50fbc331ffc2a768688f2636 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/codeBindUnreachIssue.lean | 97a709d7eb7062730854d70e35d5ba540dd9e996 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 151 | lean | set_option trace.Compiler.result true
def f (x : Empty) (y : Nat) : Nat :=
let g (_ : Unit) : Nat → Nat := x.casesOn
let aux := g ()
y + aux y
|
cbc276278687df9ae492d356bac9a1cb1ba81036 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/logic/relation.lean | cda84742cb0c2686e59db1f3dd692bd806907cd1 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 13,257 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Transitive reflexive as well as reflexive closure of relations.
-/
import tactic.basic logic.relator
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
namespac... |
8c380f4de0a03a1104c6b728fa67dc043e36218c | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Meta/Offset.lean | 76dcf4321945e23bb6e6a965ce3f036e50195cbb | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,207 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.LBool
import Lean.Meta.InferType
namespace Lean.Meta
private abbrev withInstantiatedMVars (e : Expr) (k : Expr → OptionT MetaM α) : Optio... |
ed0a09ce8a96b16a6269e956c1473c841074a2bc | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/group_theory/perm/subgroup.lean | 95cea04e829a4bb91626548929ae5d6547982347 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,229 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.perm.basic
import data.fintype.basic
import group_theory.subgroup
/-!
# Lemmas about subgroups within the permutations (self-equivalences) of a type `α`... |
fea2264fce73f09217bce207d7ea2809b99239b0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Lsp/InitShutdown.lean | ad1eea912c96f5faefaf380b90dee041c36ebd78 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 4,033 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.Lsp.Capabilities
import Lean.Data.Lsp.Workspace
import Lean.Data.Json
/-! Functionality to do with initializing and shutting down
... |
7e9310fe69a7bd4f7df896970ff567905a927236 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1686.lean | 3f83c58aec579e5d8d07f29450b04d19e1da9a04 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 465 | lean | def f (n : ℕ) := n + n
def g (n : ℕ) := 2*n
example (n : ℕ) : g (n+1) = f n + 2 :=
begin
change 2 * (n + 1) = f n + 2,
unfold f,
guard_target 2 * (n + 1) = n + n + 2,
admit
end
example (n : ℕ) : g (n+1) = f n + 2 :=
begin
change g (n + 1) with 2 * (n+1),
unfold f,
guard_target 2 * (n + 1) = n + n + 2,
admit
e... |
ff15b541b5242ff200048c0831bb15241980adce | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/set/intervals/unordered_interval.lean | 026c3420404422509912d76647f45dd1fb4b01fb | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 7,905 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import order.bounds
import data.set.intervals.image_preimage
/-!
# Intervals without endpoints ordering
In any decidable linear order `α`, we define the set of elemen... |
cc1236c793de4537a7c080cbae8f8a24fed417c0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/omega/find_ees.lean | 9529649b468465728b3ca498aa64667caee32cc0 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 5,567 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
/-
A tactic for finding a sequence of equality
elimination rules for a given set of constraints.
-/
import tactic.omega.eq_elim
variables {α β : Type}
open tactic
namespac... |
57fbcc78108a933d0b8a0bb444a97b312cbd996b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/sheaves/operations.lean | c4ce3bb1979d90797bc3979365de5f8fb7f9593a | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,089 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebra.category.Ring.instances
import algebra.category.Ring.filtered_colimits
import ring_theory.localization.basic
import topology.sheaves.stalks
/-!
# Operation... |
094af6862ec5b45dbed4d66f2c644379d186e57b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/finset/default.lean | 18a599317abb4e21ec36cde2142af58fde2173c0 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 419 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.finset.basic
import Mathlib.data.finset.fold
import Mathlib.data.finset.intervals
import Mathlib.data.finset.lattice
import Mathlib.data.finset.nat_antidiagonal
import Mathlib.data.finset.pi
import Mathlib.data.finset.powerset
import Mathli... |
1d26acd3ea7bb538f7e57e0905edbe8be7b8be65 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/omega/int/main.lean | 636373b490d047ab7c10070abce29abbf03b0762 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 2,553 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Main procedure for linear integer arithmetic.
-/
import tactic.omega.prove_unsats
import tactic.omega.int.dnf
open tactic
namespace omega
namespace int
local notation x ` =* `... |
48c0e0f9a1937cf476b883fe75b15422a4b1c499 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Semigroup/basic.lean | 7e8666e59eda3add7cc71ce9523dabdd04a8661f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,401 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.pempty_instances
import algebra.hom.equiv.basic
import category_theory.concrete_category.bundled_hom
import category_theory.functor.reflects_is... |
e01d82fa4535c597fdf143c9bae6dda83b625af3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/binary.hlean | 18a5525cd48a502ef6c8387382c3f0a0b416da61 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,558 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
General properties of binary operations.
-/
open eq.ops function
namespace binary
section
variable {A : Type}
variables (op₁ : A → A... |
f9b6aeb40cdeafade98f8a971855a4498eb666ee | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/tactic/core.lean | ce316a71ae8275fdff65cb37152cc8191e4d883e | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 87,314 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic
import control.basic
import meta.expr
import meta.rb_map
import data.bool
import tactic.lean_core_do... |
6b3aef4be53691dab21539bc51694c5346999e7e | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/topology/dense_embedding.lean | d4dad464ec20922d45a3a56cb5779fce85475849 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,823 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
import topology.bases
/-!
# Dense embeddings
This file defines three properties of functions:
* `dense_rang... |
a673cebd00518d942278b2d02f81fa9e41021c73 | a523fc1740c8cb84cd0fa0f4b52a760da4e32a5c | /src/missing_mathlib/data/list/basic.lean | eca902092d953fa5bb95f1bfa0972837bd311009 | [] | no_license | abentkamp/spectral | a1aff51e85d30b296a81d256ced1d382345d3396 | 751645679ef1cb6266316349de9e492eff85484c | refs/heads/master | 1,669,994,798,064 | 1,597,591,646,000 | 1,597,591,646,000 | 287,544,072 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 793 | lean | import data.list.basic
universe u
theorem list.foldl_map' {α β: Type u} (g : α → β) (f : α → α → α) (f' : β → β → β)
(a : α) (l : list α) (h : ∀ x y, g (f x y) = f' (g x) (g y)) :
g (list.foldl f a l) = list.foldl f' (g a) (l.map g) :=
begin
induction l generalizing a,
{ simp },
{ simp [list.foldl_cons, l... |
921cc31cbd201c95188c49e28db10d23aa057322 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/default_auto.lean | 67251d26bbe86a5963e9374a7773688d83ca0f35 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 342 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.algebra_map
import Mathlib.data.polynomial.field_division
import Mathlib.data.polynomial.derivative
import Mathlib.data.polynomial.identities
import Mathlib.data.polynomial.integral_normalization
import Mathlib.PostPort
namespac... |
ff8e7a46aec5cfadd250f765da0c101f10b9f806 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/logic/embedding.lean | c10fa4d749acd7bcece01fad278e50fda222e388 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 17,208 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.equiv.basic
import data.fun_like.embedding
import data.pprod
import data.set.basic
import data.sigma.basic
/-!
# Injective functions
-/
... |
db54bc544a2cc66deb8f29f3c31ed44ec8b68394 | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/calculus/lagrange_multipliers.lean | 3034271915398e0100946a2ce7381df5028c43dd | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 6,765 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import analysis.calculus.local_extr
import analysis.calculus.implicit
/-!
# Lagrange multipliers
In this file we formalize the
[Lagrange multipliers](https://en.wi... |
1eb4e999e5faf8ebbf371ecedf83a046a15df0db | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/determinant.lean | fa527c57a6b8cb509c8f0d722d10a51af88c9b62 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 31,891 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Tim Baanen
-/
import data.matrix.pequiv
import data.matrix.block
import data.matrix.notation
import data.fintype.big_operators
import group_theory.perm.fin
import g... |
7c509ab3ec5acba10f55bdc3c6cf04637f2d8254 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/group_theory/subgroup/pointwise.lean | 0c597042b6136dcf28b86dceb659247bf1d29ca0 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,219 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.subgroup.basic
import group_theory.submonoid.pointwise
/-! # Pointwise instances on `subgroup` and `add_subgroup`s
This file provides the actions
* `... |
43422669f2094f5ec19b0fd441318ea316822ba0 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/adjunctions/initial.lean | 1c340d253bb8b0051c6bef12cf0ce6aa005a72f4 | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 760 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.adjunctions
import category_theory.universal.comma_categories
open category_theory
open category_theory.comma
namespace categories.adjunc... |
d9cc55c72741f1f308a1d0e568096c2893ac242f | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/algebra/functions.lean | 36843005ce2c34efb2160353eee77becebfa8723 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,297 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.algebra.ordered_field
universe variables u
definition min {α : Type u} [decidable_linear_order α] (a b : α) : α := if a... |
60033c1a1fe9c6ae8fe8ffb4809665b44628ff8d | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/arity1.lean | 84f1e4be85b8913cb658301bb7ee76cef9add5c7 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 410 | lean | open tactic decidable
definition foo (A B : Type) := A → B
definition boo (c : bool) :=
bool.cond c nat bool
definition bla (a : nat) : boo (to_bool (a > 0)) → foo nat nat :=
λ v x, a + x
example : true :=
by do
bla ← mk_const `bla,
infer_type bla >>= trace,
n ← get_arity bla,
trace ("n arity: " ++ to_str... |
356e22f9b846a9655296a206df909f86050fd0d6 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /data/encodable.lean | d5069f95784c7aa4c66468ef40bcdb6827ecfdb4 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 10,050 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Mario Carneiro
Type class for encodable Types.
Note that every encodable Type is countable.
-/
import data.fintype data.list data.list.perm data.list.sort
... |
452c5036889d7368b9dcff7aaeea67e023f7d3d8 | c7e82eae1927be05158e1a5bf2e5a9de9b3c0d4a | /non_mathlib/field_extension.lean | dcd9120cfcc3f815c739149f5c7d705600cb58c7 | [] | no_license | NicholasDyson/lean-polynomials | a869743465b58cd9454443517534afeccd31f275 | 1f8ebc475479b997d14397df3b875a27644ce9b1 | refs/heads/master | 1,693,980,023,161 | 1,635,593,501,000 | 1,635,593,501,000 | 405,369,236 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,926 | lean | import field
inductive item_plus_sqrt (f : Type) [myfld f] (rt : f) : Type
| ips : f -> f -> item_plus_sqrt
open item_plus_sqrt
def ips_zero (f : Type) [myfld f] (rt : f) : (item_plus_sqrt f rt) := ips myfld.zero myfld.zero
def ips_add (f : Type) [myfld f] (rt : f) : (item_plus_sqrt f rt) -> (item_plus_sqrt f rt) ... |
f6e4c7d6e5e4ea733499fd6d8404e334a04663ee | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/mv_polynomial/cardinal.lean | 3407ce37f2a6459836355c60f492446873e9011c | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 4,365 | lean | /-
Copyright (c) 2021 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.W.cardinal
import data.mv_polynomial.basic
/-!
# Cardinality of Polynomial Ring
The main result in this file is `mv_polynomial.cardinal_mk_le_max`, which say... |
4e55949481595bbbc0a247169cdf71d0d856a97b | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /monoidal_categories/internal_objects/modules.lean | 9def80cff2c1fb3825587f34400443ec32a80a94 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 1,681 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .semigroup_modules
import .monoids
open tqft.categories
open tqft.categories.monoidal_category
namespace tqft.categories.internal_objects
... |
a5bc03c2d348c8c86316c57c7efe8844f208cc29 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/complex/re_im_topology.lean | 6eec8014fa1c96cc51ce5af3bcce2ad541c167f5 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 7,726 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.complex.basic
import topology.fiber_bundle.is_homeomorphic_trivial_bundle
/-!
# Closure, interior, and frontier of preimages under `re` and `im`
I... |
949e797d9ce2f5165a530988683d1edd6ab9fc82 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/star/chsh.lean | 91552e315065ec8f8ff13b728b98bbe50268916b | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,232 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.star.algebra
import algebra.algebra.ordered
import analysis.special_functions.pow
/-!
# The Clauser-Horne-Shimony-Holt inequality and Tsirelson's ineq... |
e484bde6fe9ce52ec6b4f4e5c8867a6298c0504b | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Compiler/IR/EmitUtil.lean | ca6d2caf6a94673ec8b0f6699a81f3617961b7a9 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 3,185 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.InitAttr
import Lean.Compiler.IR.CompilerM
/-! # Helper functions for backend code generators -/
namespace Lean.IR
/-- Return true if... |
e9984296b5a5806b3677071bac02661bd20c357f | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/algebra/pi_instances.lean | 1bc89d868d90f095ef4aed684866a04006f02d03 | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 17,569 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
Pi instances for algebraic structures.
-/
import order.basic
import algebra.module algebra.group
import data.finset
import tactic.pi_instances
namespace pi
u... |
f32393e1b3fc7370ad8864fcc5a6aef96f39e6b5 | caa1512363b76923d0e9cdb716122a5c26c3c6bc | /src/mat.lean | 2e27cad277aab7a2b23457cc7b049fb6e2268351 | [] | no_license | apurvanakade/cvx | deb20e425ce478159a98e1ffc0d37f9c88a89280 | b47784831339df5a3e45f5cddd84edc545f95808 | refs/heads/master | 1,687,403,288,536 | 1,555,930,740,000 | 1,555,930,740,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,832 | lean | import data.matrix data.real.basic
universes u v
namespace matrix
variables {l m n o : Type u} [fintype l] [fintype m] [fintype n] [fintype o]
variables {α : Type v}
-- TODO: move / generalize in matrix.lean
lemma mul_zero' [ring α] (M : matrix m n α) : M.mul (0 : matrix n l α) = 0 :=
begin
ext i j,
unfold ma... |
d54af522cad242e0a1ec9406d6fa68a5d62df0e2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/constructions/equalizers.lean | e311be168e3fc85fa129a6410feaaddcd3d823bb | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 9,315 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Andrew Yang
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.pullbacks
import ca... |
3ee0e606d144a4d782b5d2e44dd818e49618ff5e | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Init/Data/Float.lean | 9b0d86e53b1ba900491be19d394ad1980989cf6c | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,564 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Core
import Init.Data.Int.Basic
import Init.Data.ToString.Basic
structure FloatSpec where
float : Type
val : float
lt : floa... |
5ebba6e1df0285a0c32348e5fa92d409a6cf9edc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/complex/is_R_or_C.lean | 3c3a368b4f371c11523c6e712ee55870f2f0b0e8 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 37,133 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import data.real.sqrt
import field_theory.tower
import analysis.normed_space.finite_dimension
import analysis.normed_space.star.basic
/-!
# `is_R_or_C`: a typeclas... |
4bb57fa330f2a5963e3fdb3517a2d415943a1fc8 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/order/bounded_lattice.lean | 4a4a2a87e5b0c7ee459a8c47d7bf1d4f9a1db2f7 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 40,188 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice
import data.option.basic
import tactic.pi_instances
set_opt... |
a99ae7d9cc14e709223f4d6636a814991575dae3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/adjunction/opposites.lean | 0955c01ffafe3dddd3651365c321c08d781fef45 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 4,626 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Thomas Read
-/
import category_theory.adjunction.basic
import category_theory.yoneda
import category_theory.opposites
/-!
# Opposite adjunctions
This file contains const... |
6b86ac4be4b61ce2b6917ef301a6a17cf89d7b4b | ec62863c729b7eedee77b86d974f2c529fa79d25 | /15/a.lean | 37c21438d1d279a917b0f4534f8e01da105ad93f | [] | no_license | rwbarton/advent-of-lean-4 | 2ac9b17ba708f66051e3d8cd694b0249bc433b65 | 417c7e2718253ba7148c0279fcb251b6fc291477 | refs/heads/main | 1,675,917,092,057 | 1,609,864,581,000 | 1,609,864,581,000 | 317,700,289 | 24 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 529 | lean | def List.head [Inhabited α] : List α → α
| [] => panic! "empty"
| (x :: xs) => x
def List.findAux [BEq α] (n : Int) (y : α) : List α -> Int
| [] => 0
| (x :: xs) => if x == y then n else xs.findAux (n+1) y
def solve (inlst : List Int) : Int := do
let mut lst := inlst.reverse
for _ in [inlst.length:2020] do
ls... |
1e321d9a001cae6b4f1e9ed3fbb2b9e6155fa0f0 | deb45868eed82bf318edfa1465dfc25f93e4fe7d | /M1F/2017-18/Example_Sheet_01/Question_01/solution.lean | 7c6d082660a0faee6878ce82346e8ee9863e7de8 | [] | no_license | elma16/xena | 16421db3416e73d73860a72cf24f32ae56ddb4db | 5a5534aa40e8ec3e05fc85ef374dbf5d27a4a718 | refs/heads/master | 1,625,400,269,823 | 1,506,370,990,000 | 1,506,370,990,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,356 | lean | /-
M1F Sheet 1 Question 1 part (a) , solution.
Author : Kevin Buzzard
Preliminary version
TODO (KMB) : This proof is valid for integers only -- need
: to work with reals.
: figure out how to use x^2 instead of x*x
: figure out how to make 3 mean 3:Z automatically
: remove s... |
ddfad28851b657390512ed310e7d9f9aa5281df3 | ba4b63fe3410ccb8e043a57aa024ac63bf06961c | /src/homeos.lean | 80ab275ab430103ee5b0f0f4ea294c87dfed8f48 | [] | no_license | digama0/lean-scratchpad | f30cd665037c226b63ef9933c8fa83e8770f7909 | fe7d6261d60769328e091a37dff7d456c57366b7 | refs/heads/master | 1,583,695,343,314 | 1,522,993,425,000 | 1,522,993,425,000 | 128,350,243 | 0 | 0 | null | 1,522,993,456,000 | 1,522,993,456,000 | null | UTF-8 | Lean | false | false | 3,083 | lean | import analysis.topology.topological_space
import analysis.topology.continuity
open set function
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
[topological_space α] [topological_space β] [topological_space γ] [topological_space δ]
structure homeo (α β) [topological_space α] [topological_space β] exten... |
29678fc89917c1d86f23a173bc5f81acfa8ee58a | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/probabilistic.lean | fa16e28e92e5022bb413bb369a668627f57144e8 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,993 | lean | /-
This module is the start for defining core concepts needed to talk about
security proofs of cryptographic processes. At the moment, it is a fairly
empty skeleton. I expect more will be needed.
Here are a list of the main concepts that we will need:
"Probability" : A function from some finite domain to rational n... |
0d7b55bede173cf3b366d29699c3e862cbb729d0 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Server/Requests.lean | 845885afb8b3c5221f6a3b9c3bf5781ede7a1f2b | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 6,482 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.DeclarationRange
import Lean.Data.Json
import Lean.Data.Lsp
import Lean.Server.FileSource
import Lean.Server.FileWorker.Utils
/-!... |
82ce7101658cfc54cf8d4062f380b0bc501a499e | 6f5de810441f308574c75db94e700cd376fae571 | /src/dpll.lean | 6770292778347f2a9db74d914346f466e509ee42 | [
"Apache-2.0"
] | permissive | TwoFX/lean-dpll | c64c4beed742133007a08fb054c33e8e7f03f66a | f621689295a9ed883ed9af0b8e817927311ce676 | refs/heads/master | 1,693,255,456,121 | 1,635,758,972,000 | 1,635,758,972,000 | 423,206,970 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,693 | lean | /-
Copyright (c) 2021 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import tactic cnf
universes u v
variables {α : Type u} [decidable_eq α]
namespace list
variables {β : Type v} [add_monoid β] [partial_order β]
variables [contravar... |
13be38ca1fd2a0e9768471bdefe88a006b88b8f5 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/doSeqRightIssue.lean | f39a9598dd2de49af0c8c37e25006f114adaa6f5 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 275 | lean | new_frontend
universes u
variables {α : Type u}
variables {β : α → Type v}
theorem ex {p₁ p₂ : Sigma (fun a => β a)} (h₁ : p₁.1 = p₂.1) (h : p₁.2 ≅ p₂.2) : p₁ = p₂ :=
match p₁, p₂, h₁, h with
| ⟨_, _⟩, ⟨_, _⟩, rfl, HEq.refl _ => rfl
|
37147956b264c717910c2523e8ae4e773ef0c6e0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/number_theory/fermat4_auto.lean | 14b526ffb2b9553edc252cbc4198a49bf9525fab | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,194 | lean | /-
Copyright (c) 2020 Paul van Wamelen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Paul van Wamelen.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.number_theory.pythagorean_triples
import Mathlib.ring_theory.coprime
import Mathlib.Pos... |
b734293347eab73fb5d380fbabd1dee3af352fb8 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/quasi_pattern_unification_approx_issue.lean | 33aa4dde64c589807a67d57a1cbd254d534963fc | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 260 | lean |
variables {δ σ : Type}
def foo0 : StateT δ (StateT σ Id) σ :=
getThe σ
def foo1 : StateT δ (StateT σ Id) σ :=
monadLift (get : StateT σ Id σ)
def foo2 : StateT δ (StateT σ Id) σ := do
let s : σ ← monadLift (get : StateT σ Id σ)
pure s
|
dfe4ecf82bb08fcbccf98868b80a4f3774c2cec9 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/probability_theory/independence.lean | d75aba76b3fa6e448b8d62c10a48a5bac23461ba | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 17,218 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import measure_theory.measure_space
import measure_theory.pi_system
import algebra.big_operators.intervals
import data.finset.intervals
/-!
# Independence of sets of set... |
05b8a6e0aa5d35359455ba7825f660472839e7d5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/module/multilinear.lean | ef1fead7e6fc31cec231e480aa867d2500e0af43 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 23,805 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.algebra.module.basic
import linear_algebra.multilinear.basic
/-!
# Continuous multilinear maps
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> An... |
b4b74bf55f6c71756465ae23d0e5aba70f27e098 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/module/submodule.lean | ca3b6a4ec72ca3d04ad17f91f813f378d12e3353 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 6,942 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
import algebra.module.linear_map
/-!
# Submodules of a module
In this file we define
* `submodule R M` : a subse... |
967bf4b036d07eeedb47f9097d7c0e33cc8adce6 | 43390109ab88557e6090f3245c47479c123ee500 | /src/finite_dimensional_vector_spaces/linear_map.lean | 5ebce05d2ef79a4c0b9dcd41e09cd6c1b8067cba | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,946 | lean | /-
Copyright (c) 2018 Keji Neri, Blair Shi. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keji Neri, Blair Shi
* `finite_free_module R n`: the set of maps from (fin n) to R (R ^ n)
-- Proved R^n is an abellian group and module R (R ^ n)
* `matrix_to_linear_map` : c... |
012bee75135792b78b907253bd49ad095db56a01 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/real/basic.lean | ab7d4944d915492a88f09935d4d51b1e742adbf3 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 25,710 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
The (classical) real numbers ℝ. This is a direct construction
from Cauchy sequences.
-/
import order.conditionally_complete_lattice data.real.cau_seq_... |
01f7a21c8ba377f7e50ceadb5286cd379abce4dd | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Elab/Command.lean | c5847e00c6470b4c8d18cfe3f38078cf5d559828 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 18,034 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Command
import Lean.ResolveName
import Lean.Meta.Reduce
import Lean.Elab.Log
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.E... |
93801fa3c999c75cf3a618702be603f13a0f9e5d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/direct_sum/tensor_product.lean | feeddfb145064c81d756373ab6011c08ab333c0e | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 2,420 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro
-/
import linear_algebra.tensor_product
import linear_algebra.direct_sum_module
/-!
# Tensor products of direct sums
This file shows that taking `tensor_product... |
a9325101265fe893ad0896b25b9652b2d534bad9 | 0707842a58b971bc2c537fdcab2f5cef1c12d77a | /lean4/propositional_logic/avigad.lean | ce9dbc5b6f0536f6da9bb97005f606e1d2d9ab0e | [] | no_license | adolfont/LearningProgramming | 7a41e5dfde8df72fc0b4a23592999ecdb22a26e0 | 866e6654d347287bd0c63aa31d18705174f00324 | refs/heads/master | 1,652,902,832,503 | 1,651,315,660,000 | 1,651,315,660,000 | 1,328,601 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,337 | lean | variable (p q r s : Prop)
#check True
#check False
#check p ∧ q
#check p ∨ q
#check p → q
#check p ↔ q
#check ¬ p
theorem foo : p → q → p ∧ q :=
fun hp hq => And.intro hp hq
theorem bar : p ∧ q → q ∧ p :=
fun ⟨hp, hq⟩ => ⟨hq, hp⟩
example : p → p := by
intro h
apply h
theorem two_plus_two_is_four : 2 + 2 = ... |
22fe2b422d0d23363540b160bc143e154cc7082b | 6950a6e5cebf75da9b91f42789baf52514655111 | /import_export.lean | e6746654e9f34e3fbdf7750c0954907d7268d072 | [] | no_license | phlippe/Lean_hammer | a6d0a1af09fbce0c58b801032099b9b91d49ecf0 | 2116279b9c6b334f5b661e4abf4561368cca2391 | refs/heads/master | 1,587,486,769,513 | 1,561,466,931,000 | 1,561,466,931,000 | 169,705,506 | 0 | 1 | null | 1,550,228,564,000 | 1,549,614,939,000 | Lean | UTF-8 | Lean | false | false | 673 | lean | import system.io
import .tptp.translation_tptp
import .problem_translation
--###################
--## IMPORT/EXPORT ##
--###################
-- -> Started but currently stopped. Will be continued after other points are done
open io
open io.fs
meta def export_format (f : format) : io unit := put_str f.to_string
/- ru... |
ad634e3a482a864406ff7e47a4ea8dd6fcf6fb6d | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/sum.lean | b0592a01443befdb1af0d4227e1846bb265ed17b | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 3,355 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
More theorems about the sum type.
-/
universes u v
variables {α : Type u} {β : Type v}
open sum
attribute [derive decidable_eq] sum
@[simp] theorem sum.forall {p : α... |
baea68c5074c113f74b1b28fe5a97e40023e7fce | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/pfun.lean | f0ffbde2d67f91828b86fe93c634f94449ea7d6c | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 15,761 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.set.basic data.option data.equiv.basic
/-- `roption α` is the type of "partial values" of type `α`. It
is similar to `option α` except the domain condit... |
b100d4c4a22562a349b564421cabbaa7db400c08 | 5883d9218e6f144e20eee6ca1dab8529fa1a97c0 | /src/exp/subst/apply.lean | 32086cb02d2474c08469597b7de6b3048cc3fcfd | [] | no_license | spl/alpha-conversion-is-easy | 0d035bc570e52a6345d4890e4d0c9e3f9b8126c1 | ed937fe85d8495daffd9412a5524c77b9fcda094 | refs/heads/master | 1,607,649,280,020 | 1,517,380,240,000 | 1,517,380,240,000 | 52,174,747 | 4 | 0 | null | 1,456,052,226,000 | 1,456,001,163,000 | Lean | UTF-8 | Lean | false | false | 1,008 | lean | /-
This files defines `subst.apply`.
-/
import .update
namespace acie -----------------------------------------------------------------
namespace exp ------------------------------------------------------------------
namespace subst ----------------------------------------------------------------
variables {V : Ty... |
2c42e88997f305acf69bf2ea9a974e013f81f81f | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/smul_with_zero.lean | 12bdc651432af69eca0c8bf8958240e5529491d7 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,082 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import group_theory.group_action.defs
/-!
# Introduce `smul_with_zero`
In analogy with the usual monoid action on a Type `M`, we introduce an action of a
`monoid_with_... |
ebc4f4d3c6870914999e2a46ec2238c4d3268761 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/real/basic.lean | c93711b5e8169a4959351e7cccabbd1a86c16fdb | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 23,444 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import algebra.module.basic
import algebra.bounds
import algebra.order.archimedean
import algebra.star.basic
import data.real.cau_seq_completion
imp... |
60fd953a358d04afd9b909009775bd4664883e61 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/normed_space/affine_isometry.lean | 34389bb722cb67034cdec9f91f0e936495e80e38 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 24,601 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.normed_space.linear_isometry
import analysis.normed.group.add_torsor
import analysis.normed_space.basic
import linear_algebra.affine_space.restrict
... |
b81399e9b3c74bfeece78f7f4e05daa954534fa7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/ring/ulift_auto.lean | b548f18219cb3a6ce585222c68c1473f31ac583c | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,841 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.ulift
import Mathlib.data.equiv.ring
import Mathlib.PostPort
universes u u_1... |
99570c91894ad4d7aec010ba3b16f719143d75cf | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/algebra/group_theory.hlean | 0d8447579a6dd75242a83110830a402187ef4f63 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 13,416 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Basic group theory
This file will be rewritten in the future, when we develop are more systematic notation for
describing homomorphisms
-/
import algebra.category... |
59899737963efe4c24cae60c1f48fe37e9875ab3 | b815abf92ce063fe0d1fabf5b42da483552aa3e8 | /library/data/tuple.lean | 4ef6b354a2111e5940cb43382b53e3e7a179bbf9 | [
"Apache-2.0"
] | permissive | yodalee/lean | a368d842df12c63e9f79414ed7bbee805b9001ef | 317989bf9ef6ae1dec7488c2363dbfcdc16e0756 | refs/heads/master | 1,610,551,176,860 | 1,481,430,138,000 | 1,481,646,441,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,278 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Tuples are lists of a fixed size.
It is implemented as a subtype.
-/
import data.list
def tuple (α : Type) (n : ℕ) := {l : list α // list.length l = n}
names... |
fd1dc19590c919fbdbfef74fae5bc3d2616aa530 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/group_theory/sylow.lean | 496bf7ceee6e2858d76c245e39f15309d3d6b0c9 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,405 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import group_theory.group_action.conj_act
import group_theory.p_group
/-!
# Sylow theorems
The Sylow theorems are the following results for every fini... |
3892f0f40af43c9e8dd3dad60ec806cba89a2ab0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/omega_complete_partial_order.lean | dd70b69a64d110f25712504bf19345b2eb69c2f1 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 30,370 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.pfun
import order.preorder_hom
import tactic.wlog
import tactic.monotonicity
/-!
# Omega Complete Partial Orders
An omega-complete partial order is a partial ... |
7d8581e17809146ad58122e78343c1be5369e832 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/tactic14.lean | 4a5f67b638f33b8779839b66b2773d319553f113 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 369 | lean | import standard
using tactic
definition basic_tac : tactic
:= repeat [apply @and_intro | assumption]
set_proof_qed basic_tac -- basic_tac is automatically applied to each element of a proof-qed block
theorem tst (a b : Prop) (H : ¬ a ∨ ¬ b) (Hb : b) : ¬ a ∧ b :=
proof
assume Ha, or_elim H
(assume Hna, absurd H... |
0e2795c6f74e08c3979d2e890cb4f9272a86e597 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/field_theory/finite/basic.lean | a760a4c7e3c267b9d74ded895db2df64ac4a0e89 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,485 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Joey van Langen, Casper Putz
-/
import tactic.apply_fun
import data.equiv.ring
import data.zmod.basic
import linear_algebra.basis
import ring_theory.integral_domain
import ... |
e2c055971c8bb144e2082233b47ab48c470e64a2 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/newfrontend1.lean | a07f7bef3c5ad0a83a171649d8d572165db54e13 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,776 | lean | def x := 1
#check x
variable {α : Type}
def f (a : α) : α :=
a
def tst (xs : List Nat) : Nat :=
xs.foldl (init := 10) (· + ·)
#check tst [1, 2, 3]
#check fun x y : Nat => x + y
#check tst
#check (fun stx => if True then let e := stx; Pure.pure e else Pure.pure stx : Nat → Id Nat)
#check let x : Nat := 1; x
de... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.