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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8a1e12a386d12cf37b9a03ad930a6ac345005ad0 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /small_algebraic_closure_is_integral.lean | 91859741cf9108632623cc8eb2b18deead2b4fb9 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,561 | lean | import ring_theory.adjoin_root data.equiv.algebra algebra.direct_limit
import set_theory.schroeder_bernstein field_theory.subfield
import ring_theory.integral_closure ring_theory.algebra
universes u v w
open polynomial zorn set function
variables {K : Type u} [discrete_field K]
noncomputable theory
instance equiv.is_... |
9a8deab9fefe3a664dde9c1ba088d35faf883891 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/group/ext.lean | bdb05f1d5cc5ec326b6b28eed8743917886aada8 | [
"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 | 5,014 | lean | /-
Copyright (c) 2021 Bryan Gin-ge Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bryan Gin-ge Chen, Yury Kudryashov
-/
import algebra.hom.group
/-!
# Extensionality lemmas for monoid and group structures
In this file we prove extensionality lemmas for `monoid`... |
348744760886c6a833018ecd5c2e2cf24baa27fd | 217bb195841a8be2d1b4edd2084d6b69ccd62f50 | /library/init/lean/kvmap.lean | 20859bf56abab517145c31bf0acbb3f8b073dc31 | [
"Apache-2.0"
] | permissive | frank-lesser/lean4 | 717f56c9bacd5bf3a67542d2f5cea721d4743a30 | 79e2abe33f73162f773ea731265e456dbfe822f9 | refs/heads/master | 1,589,741,267,933 | 1,556,424,200,000 | 1,556,424,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,526 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.lean.name init.data.option.basic init.data.int
namespace Lean
inductive DataValue
| ofString (v : String)
| ofBool (v : Bool)
| ofNa... |
839d39a8291e54f139c25a38c0bfa12b105f72c3 | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/amc12-2000-p20.lean | dbbbfd6c157b528b5af6b383dcb3eee037dade2c | [
"Apache-2.0",
"MIT"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 323 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (x y z : ℝ) (h₀ : 0 < x ∧ 0 < y ∧ 0 < z) (h₁ : x + 1/y = 4) (h₂ : y + 1/z = 1) (h₃ : z + 1/x = 7/3) : x*y*z = 1 :=
begin
sorry
end
|
b881532c80e3cdb1afdefe063109c7bf56fc34a6 | 0a7cf55e50e699ca449b876d32f72a58919da5b9 | /src/knights_and_knaves.lean | 42c9c739e66056d33828847a0540f4005959258f | [] | no_license | stanescuUW/LeanPuzzles | afaa0a10c8d9cb8dc5651e1287e8d901d22b9e7c | 5cd8d072ec88deb890b6cacd464bc198b7453ff8 | refs/heads/master | 1,667,707,546,355 | 1,593,179,367,000 | 1,593,179,367,000 | 273,576,407 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,996 | lean | /-
Copyright (c) 2020 Dan Stanescu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dan Stanescu.
-/
import tactic
/-!
# Knights and knaves puzzles
Two puzzles from "Knights and Knaves" by Raymond Smullyan.
For an online description of these puzzles, see: http://mesos... |
aef33cc6239afd7e08a1f610de9f1aecfb520ee5 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/name_resolution_with_params_bug.lean | 27f232ca870fe75999b4a2b6cf0f661d2eff81ae | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 415 | lean | section
parameters x y : nat
def z := x + y
lemma h0 : z = y + x := add_comm _ _
open tactic
theorem foo₁ : z = y + x := -- doesn't work
begin
rw h0
end
theorem foo₃ : z = y + x := -- doesn't work
by rewrite h0
theorem foo₄ : z = y + x := -- doesn't work
begin
simp [h0]
end
the... |
3915aaeae523292d7b977970aee9ba33cc70862b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/category/morphism.lean | 667c7a9f05b838fffeb2ce1d9d899368a3aed361 | [
"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 | 11,981 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
-/
import .basic algebra.relation algebra.binary
open eq eq.ops category
namespace morphism
variables {ob : Type} [C : category ob] include C
variables {a b c ... |
4e59cf5be5233d5ee661bbcf45ebf4297858a1eb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/fintype.lean | 18b9be514762f73eb11bd2c2cb28226c44b01389 | [] | 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 | 575 | 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.associated
import Mathlib.data.fintype.basic
import Mathlib.PostPort
universes u_1... |
136bc7a5a1365fbb2cb5e4a48b76076e489e2fca | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/special_functions/pow_deriv.lean | 8b39292431f8da2def720c9c1413cc21286cffae | [
"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 | 25,236 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Sébastien Gouëzel,
Rémy Degenne
-/
import analysis.special_functions.pow
import analysis.special_functions.complex.log_der... |
c44a4839fa47493e369aa0a81ea200094c36b56e | d1bbf1801b3dcb214451d48214589f511061da63 | /src/data/real/ennreal.lean | 944e969fe1e51a4d43ed16929f4a80d8bbff4ed7 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,661 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
-/
import data.real.nnreal
import data.set.intervals
/-!
# Extended non-negative reals
We define `ennreal := with_no ℝ≥0` to be the type of extended no... |
b5fcde4b2c51b849a5911e398f4752007eb586ff | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monoidal/natural_transformation.lean | d4a4776b6313b33b5a829574143413a0cd4edb08 | [
"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 | 8,430 | 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 category_theory.monoidal.functor
import category_theory.full_subcategory
/-!
# Monoidal natural transformations
Natural transformations between (lax) monoida... |
59039ccdad1733cbd048527126ad5e609fbb25c2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/quiver/cast.lean | 62b6fad9209ca7069537bdc4826ceb5c88793ad6 | [
"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 | 4,296 | lean | /-
Copyright (c) 2022 Antoine Labelle, Rémi Bottinelli. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Labelle, Rémi Bottinelli
-/
import combinatorics.quiver.basic
import combinatorics.quiver.path
/-!
# Rewriting arrows and paths along vertex equalities
> T... |
45c46788c1b59374d089574e9647d02ae5de6ad5 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/group_theory/perm/support.lean | 92082252d0b6cb36ed6fac40d2cc8d23e40e1b83 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,566 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Aaron Anderson, Yakov Pechersky
-/
import data.finset.sort
import data.fintype.basic
import group_theory.perm.basic
/-!
# Support of a permutation
## Main definitions
In... |
1f36b23840ce712bd275c9b37f61feb4fdefe33a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/List.lean | 6bb2c731695325ba86f36903d7860cfd6bb17524 | [
"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 | 261 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.List.Basic
import Init.Data.List.BasicAux
import Init.Data.List.Control
|
6e469de93ddf38b9806f9789fb8fcd52d43e596d | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Tactic/Simp/Types.lean | 0345ffb9ce19dcd81c92ef026e64fa5f37cea52e | [
"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 | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 2,487 | 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
-/
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.Simp.SimpLemmas
import Lean.Meta.Tactic.Simp.CongrLemmas
namespace Lean.Meta
namespace Simp
structure ... |
a03efaab7a1876f94b48cd2646efa59a430ad660 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/box_integral/box/basic.lean | edbc1d4c03659df8853d7c4b4785572ab706e125 | [
"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 | 17,896 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import data.set.intervals.monotone
import topology.algebra.order.monotone_convergence
import topology.metric_space.basic
/-!
# Rectangular boxes in `ℝⁿ`
In this f... |
247047ed454115b4ff18379231f22454f86e085d | 92b50235facfbc08dfe7f334827d47281471333b | /hott/algebra/e_closure.hlean | f798596bf261e6b872a416e5dd7eab1457ffe648 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 4,453 | hlean | /-
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
The "equivalence closure" of a type-valued relation.
Given a binary type-valued relation (fibration), we add reflexivity, symmetry and transitivity terms
-/
import ... |
5df28fecb958a5d985cab8e910a36bd984db150f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/number_theory/primorial.lean | 87e204ad0791d557eeb34273d567614ecfd03b6a | [
"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 | 7,387 | lean | /-
Copyright (c) 2020 Patrick Stevens. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Stevens
-/
import tactic.ring_exp
import data.nat.parity
import data.nat.choose.sum
/-!
# Primorial
This file defines the primorial function (the product of primes less than... |
66db413b4e450f487aa9981dace305331860bf88 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/reassoc_axiom.lean | 169cf59f657f4b9d788a427aa2596a84882b1214 | [
"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 | 8,047 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import category_theory.category
/-!
# Tools to reformulate category-theoretic axioms in a more associativity-friendly way
## The `reassoc` attribute
The `reassoc` attr... |
0792e191860a2db03184ebfb2d2be8e095a5da30 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/data/functor.lean | f4c2eec0b8cb6f9f7afa7dfd990adec31ff2a8fa | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,960 | lean |
universe variables u v w u' v' w'
class functor_pair (f : Type u → Type v) (g : Type u' → Type v') :=
(f_functor : functor f)
(g_functor : functor g)
(map : ∀ {α β}, (α → β) → f α → g β)
(map_fmap_comm : ∀ {α β β' γ}
(h : β → γ) (hp : α → β)
(hp' : β' → γ) (h' : α → β')
(x :... |
3047ff583ad658765a50a04b95ce11ab5de97866 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/smt/rsimp.lean | c7d555b847ddd0e521971e2ae72f9d9aa50de447 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 6,490 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.smt.smt_tactic init.meta.fun_info init.meta.rb_map
open tactic
private meta def add_lemma (m : transparency) (h : name) (hs : hin... |
3500368224568e8ece02ec6c8fa605cf09b81d5c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/field_theory/separable.lean | 5410fe3fd43fd8c2f5b3c43ed3d6621c05196f49 | [] | 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 | 16,781 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.polynomial.big_operators
import Mathlib.field_theory.minpoly
import Mathlib.field_theory.spl... |
3899bf1047fb89b94816123b74a49393eb9f21cf | 7453f4f6074a6d5ce92b7bee2b29c409c061fbef | /src/Interpolation/try-rolle-vec.lean | faeb4e32661da890c228a5c8bbdba46d6abdd9fa | [
"Apache-2.0"
] | permissive | stanescuUW/numerical-analysis-with-Lean | b7b26755b8e925279f3afc1caa16b0666fc77ef8 | 98e6974f8b68cc5232ceff40535d776a33444c73 | refs/heads/master | 1,670,371,433,242 | 1,598,204,960,000 | 1,598,204,960,000 | 282,081,575 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,569 | lean | import analysis.calculus.local_extr
import analysis.calculus.times_cont_diff
import analysis.calculus.iterated_deriv
import tactic data.fin
open set
namespace rolle_general
lemma fin_le_last_val (n : ℕ) : ∀ i : fin (n + 2), i ≤ (n+1) :=
begin
intro i,
have j0 : n + 1 < n + 1 + 1, linarith,
have j0 := @fin... |
bca656cc9d4d503507e4128f63d15e4c0a5d929a | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/algebra/order.lean | 506a14dc4be6cef2bcac03122c587e541c35331b | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,569 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.order
Author: Jeremy Avigad
Various types of orders. We develop weak orders "≤" and strict orders "<" separately. We also
consider structures with both, where the two are relat... |
50271ebe271943350da6704d933244c0cc52cde4 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/quaternion.lean | 6182fa0b41165a1086c121b52d0401b8eccd2aee | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,358 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import data.quaternion
import analysis.normed_space.inner_product
/-!
# Quaternions as a normed algebra
In this file we define the following structures on the spa... |
257dfc842c9c0cfbaeac3a96295e9bd2ca68b5dd | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/compiler/rbmap_library.lean | 5cd88a21b03758fc1cd6a47727eee55c4e4d7f16 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,267 | lean | def check (b : Bool) : IO Unit :=
unless b $ IO.println "ERROR"
def sz {α β : Type} {lt : α → α → Bool} (m : RBMap α β lt) : Nat :=
m.fold (fun sz _ _ => sz+1) 0
def depth {α β : Type} {lt : α → α → Bool} (m : RBMap α β lt) : Nat :=
m.depth Nat.max
def tst1 : IO Unit :=
do let Map := RBMap String Nat (fun a b => a <... |
644ad439fd5bdb260bbd982f166f423173a3d62e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/inner_product_space/euclidean_dist.lean | 55b118bbe129307454d4c6d0d05c4d2c849cc40b | [
"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 | 4,663 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.inner_product_space.calculus
import analysis.inner_product_space.pi_L2
/-!
# Euclidean distance on a finite dimensional space
When we define a smo... |
db60b93405a51a04fd036b0bf8d384494a81415f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebraic_geometry/sheafed_space_auto.lean | e4f3d1818f2e0b2835c639a150bc1f626b0de38b | [] | 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 | 9,530 | lean | /-
Copyright (c) 2019 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.algebraic_geometry.presheafed_space
import Mathlib.topology.sheaves.sheaf
import Mathlib.Po... |
fda9bacbc7a254a584e07c4a51bed205c5628aa4 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /library/tools/debugger/util.lean | 31880327810d76d2cdbb64476160db8b07bbba88 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 4,030 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
namespace debugger
def is_space (c : char) : bool :=
if c = #" " ∨ c = char.of_nat 11 ∨ c = #"\n" then tt else ff
def split_core : string → string → list s... |
2d33e6cadfd600e2ec55d12f61ba510e9acb3553 | 827a8a5c2041b1d7f55e128581f583dfbd65ecf6 | /topology.lean | 655aa1a804d88d5c9533543c86e30ce2ccfa8016 | [
"Apache-2.0"
] | permissive | fpvandoorn/leansnippets | 6af0499f6f3fd2c07e4b580734d77b67574e7c27 | 601bafbe07e9534af76f60994d6bdf741996ef93 | refs/heads/master | 1,590,063,910,882 | 1,545,093,878,000 | 1,545,093,878,000 | 36,044,957 | 2 | 2 | null | 1,442,619,708,000 | 1,432,256,875,000 | Lean | UTF-8 | Lean | false | false | 1,928 | lean | import classical
open set
section
structure foo.{l} : Type.{l+1} :=
(elim : Type.{l} → Type.{l})
end
structure topology [class] (X : Type) : Type :=
(is_open : set X → Prop)
(empty : is_open (λx, false))
(full : is_open (λx, true))
(union : Π(P : set X → Prop), (Πf, is_open f) → is_open (λx, ∃f, f x ∧ P f))
... |
21affd8724224bc1daaa175d82b3664976908b63 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/charted_space.lean | baa4940a1a64d6e56289f9f03f8e337517d93020 | [
"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 | 48,205 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.local_homeomorph
/-!
# Charted spaces
A smooth manifold is a topological space `M` locally modelled on a euclidean space (or a euclidean
half-... |
9ad7db37158215f24483748d93aace2590d4df40 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/module/big_operators.lean | 2945a10c102fad2b61648930597273ddece3293d | [
"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 | 1,601 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov, Yaël Dillies
-/
import algebra.module.basic
import group_theory.group_action.big_operators
/-!
# Finite sums over modules over a ring
-/
open_locale big_... |
949c97702be85dc220ce2883f79d4db227287e48 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/mv_polynomial/comm_ring.lean | 8fe35f1db0fe8e3ab2054e6b2ad4a17c1f33be61 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 5,008 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import data.mv_polynomial.variables
/-!
# Multivariate polynomials over a ring
Many results about polynomials hold when the coeffic... |
761b96094e4eb80e3cdebeafd100f7df31461791 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/group/basic.lean | a634469dbf901594417d6054a58c25fd50081dee | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,285 | 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 measure_theory.integral.lebesgue
import measure_theory.measure.regular
/-!
# Measures on Groups
We develop some properties of measures on (topological) g... |
a62836396120f3a440296c04bc2bcc674c43e772 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/ring/divisibility.lean | c85a65b518d8a19ef78e4343c16342b05993e716 | [
"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 | 4,093 | 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, Yury Kudryashov, Neil Strickland
-/
import algebra.divisibility.basic
import algebra.ring.defs
/-!
# Lemmas about divisibility in ri... |
70f3e13142b64fa83c6961a9a7078e93780dcea6 | e151e9053bfd6d71740066474fc500a087837323 | /src/hott/algebra/graph.lean | f00d04d84c6b9053d5914e4277df51ff35f25b4f | [
"Apache-2.0"
] | permissive | daniel-carranza/hott3 | 15bac2d90589dbb952ef15e74b2837722491963d | 913811e8a1371d3a5751d7d32ff9dec8aa6815d9 | refs/heads/master | 1,610,091,349,670 | 1,596,222,336,000 | 1,596,222,336,000 | 241,957,822 | 0 | 0 | Apache-2.0 | 1,582,222,839,000 | 1,582,222,838,000 | null | UTF-8 | Lean | false | false | 26,212 | lean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Graphs and operations on graphs
Currently we only define the notion of a path in a graph, and prove properties and operations on
paths.
-/
import ..arity ..eq2 .r... |
c695341b6baa85371082fb421e08dc43c5bb731a | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_597.lean | bc2e9b7824f930e8ea69b6ad1e1315f91428848d | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 99 | lean | import data.real.basic
example : ∃ x : ℝ, 2 < x ∧ x < 3 :=
begin
use 5 / 2,
norm_num
end |
0c8805c8431cf8f3adc8d2f4262f963db71bd7fb | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/init/logic.lean | ab202e25514ba564ac8e9927eadc163f970cfb21 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,068 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.logic
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.datatypes init.reserved_notation
/- implication -/
definition trivial := true.int... |
60d14eb19f7576da9e696160037a26c601b4ddfd | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/flat.lean | ffce2a604777cc6f2a5a6f3bf8bc6c463e50edb0 | [
"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 | 2,702 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import ring_theory.noetherian
/-!
# Flat modules
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
A m... |
359eb76418a45b463b20cd679a0e1f97a2767356 | 35452ce8e77eaf9e0aa9367a9e20bafbf92730d4 | /src/aux.lean | 1ab294a91e83468075aebf6ebec4f66b034bd1da | [] | no_license | ADedecker/wedderburn | 6935f44f922080df5d673051737881d9f8a94e9c | 1ed28ff8cf64e1652d540557765e379b3901ad19 | refs/heads/master | 1,692,935,097,444 | 1,634,302,432,000 | 1,634,302,432,000 | 412,828,531 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,036 | lean | import linear_algebra
import field_theory.finite.basic
open_locale big_operators
lemma card_subtype_eq_iff (α : Type*) (p : α → Prop) [decidable_pred p] [fintype α] :
fintype.card ({x // p x}) = fintype.card α ↔ ∀ x, p x :=
begin
rw [fintype.card_subtype p, finset.card_eq_iff_eq_univ, finset.eq_univ_iff_forall],
... |
beed06efff07317eb59e05cfef4897b78f210195 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/converter/binders.lean | 9b1300b2974c75d5e30ee16498488fd4e88d8e0a | [
"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 | 7,886 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Binder elimination
-/
import order tactic.converter.old_conv
namespace old_conv
open tactic monad
meta instance : monad_fail old_conv :=
{ fail := λ α s, (λr e, tacti... |
ad1266f443579c6b3d6235ac72e2de3834dfd6c0 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /src/Lean/Elab/InfoTree.lean | da26b37f601c0f044d0e957bf39a1722b1d2b9fc | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,412 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Leonardo de Moura
-/
import Lean.Data.Position
import Lean.Expr
import Lean.Message
import Lean.Data.Json
import Lean.Meta.Basic
import Lean.Meta.PPGoal
namespa... |
d1a389f1c0d0760633ba243f1e954a00f8916c41 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/back_chaining2.lean | 0a5f423f8c65d55edd05a24bbdd7009e8a4050e9 | [
"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 | 652 | lean | -- Backward chaining with hypotheses
constants {P Q R S T U : Prop}
constants (Huq : U → Q) (Hur : U → R) (Hus : U → S) (Hut : U → T)
attribute Huq [intro]
attribute Hur [intro]
attribute Hus [intro]
attribute Hut [intro]
open tactic
definition lemma1 : (P → Q) → P → Q := by intros >> back_chaining_using_hs
definitio... |
28c8fe8c117c8f2e3d4d630740e26c9ce6446f24 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Util/FoldConsts.lean | d45a9fbf3af67c49512d0721a9d45f988ad91956 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,514 | 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.Control.Option
import Init.Lean.Expr
import Init.Lean.Environment
namespace Lean
namespace Expr
namespace FoldConstsImpl
abbrev cacheS... |
5a6b90a5273824d21d3d50d4f438d504fce0139b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/smodeq.lean | d7b104a661b9fde8883d6bccee59152561ab0122 | [
"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 | 2,412 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import linear_algebra.basic
/-!
# modular equivalence for submodule
-/
open submodule
variables {R : Type*} [ring R]
variables {M : Type*} [add_comm_group M] [module R M] (... |
8cdb06fc33f6f2c4690bac8d3fb733331464399d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/currying.lean | 486e942a85e7de9324f4853c5dd675f91f59dec4 | [
"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 | 4,223 | 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.products.bifunctor
/-!
# Curry and uncurry, as functors.
We define `curry : ((C × D) ⥤ E) ⥤ (C ⥤ (D ⥤ E))` and `uncurry : (C ⥤ (D ⥤ E)) ⥤ ((C... |
c955885af78a88b48acdeff50cedaafb1f0f1aca | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/polynomial/monomial.lean | 27bbac66f924d627d0f47759db3d471a8d69d8a2 | [
"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 | 2,650 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.basic
/-!
# Univariate monomials
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this... |
cfcde6302bff894125bf6f923412be41aa22a750 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/universal/default.lean | b2160cd18f13e935bc2baca7e4f52d0090427f0d | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 255 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
import .congruence
import .homomorphism
import .identity
import .model
import .proof
import .substitution
|
a657804e5b65697a60d83d95cdd8363caac7c482 | 28be2ab6091504b6ba250b367205fb94d50ab284 | /src/mynat/definition.lean | 4a26128af7df2e00724772e8559df22891959191 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 914 | lean | import tactic.structure_helper
import tactic.nat_num_game
/-
mynat/definition.lean -- definition of mynat.
Supplies:
constants zero : mynat and one : mynat
function S : mynat → mynat
notation 0 for zero and 1 for one.
The below code will be *invisible to the player*
-/
-- definition of "the natural numb... |
3d8ddeb5f8466ce26597f2e3d666a0ff2eff7a69 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/types/trunc.hlean | f3212cac371819ce7a8ff6145bec4baf1e8e32a0 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,201 | hlean | /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Properties of is_trunc and trunctype
-/
-- NOTE: the fact that (is_trunc n A) is a mere proposition is proved in .hprop_trunc
import types.pi types.eq types.equiv... |
95156e3c60d259bb4d23a629acadea3f32a9035f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/power_basis_auto.lean | 2258e00c9b8fe158d6893ba3ea0eff88124698d9 | [] | 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 | 16,240 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.field_theory.adjoin
import Mathlib.field_theory.minpoly
import Mathlib.ring_theory.adjoin
import ... |
60b9f35f809017194147c5038221ee52b402b604 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Frontend.lean | 631e5a8e820b5bb821fba75d57fef98ed8e1de43 | [
"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 | 5,265 | 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, Sebastian Ullrich
-/
import Lean.Elab.Import
import Lean.Elab.Command
import Lean.Util.Profile
import Lean.Server.References
namespace Lean.Elab.Frontend
st... |
fc5638f02ab1218f0b5875ea305e5f571d35435e | e07b1aca72e83a272dd59d24c6e0fa246034d774 | /src/tutorials/02_iff_if_and.lean | 68fa58d72f63d09954c1c2f3d9df5be4af29497c | [
"Apache-2.0",
"LicenseRef-scancode-unknown-license-reference"
] | permissive | pedrominicz/learn | 637a343bd4f8669d76819ac660a2d2d3e0958710 | b79b802a9846c86c21d4b6f3e17af36e7382f0ef | refs/heads/master | 1,671,746,990,402 | 1,670,778,113,000 | 1,670,778,113,000 | 265,735,177 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,898 | lean | import data.real.basic
/-
In the previous file, we saw how to rewrite using equalities.
The analogue operation with mathematical statements is rewriting using
equivalences. This is also done using the `rw` tactic.
Lean uses ↔ to denote equivalence instead of ⇔.
In the following exercises we will use the lemma:
su... |
2aa5df1eb6dd4234055cad6fef25fe6705bfded5 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/algebra_tower.lean | 6208b5f109de1b9923876d3e4d983e3f16d05ecf | [
"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 | 13,853 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.restrict_scalars
import algebra.algebra.tower
import algebra.invertible
import linear_algebra.basis
import ring_theory.adjoin.fg
import ring_theory.polyn... |
2fab64563d5b57b8dfa35199e4cbd35418f4703c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/complete_lattice.lean | c9d2ebf88ea965039b93147535d9316583663bef | [
"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 | 54,371 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.bounds
import data.set.bool
import data.nat.basic
/-!
# Theory of complete lattices
## Main definitions
* `Sup` and `Inf` are the supremum and the inf... |
b06731210d59a109a4c2a89c6c0b346c2148dd2d | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Init/Data/FloatArray/Basic.lean | b57e99fd89d07d7b8631bee035cc77a7a4e38f29 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,001 | 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.Data.Array.Basic
import Init.Data.Float
import Init.Data.Option.Basic
universes u
structure FloatArray :=
(data : Array Float)
attrib... |
e5e8944a75eecc4ac3d77bd1e5ff2595bd21dd10 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/splitting_field/construction.lean | 85ec974bcb0017260916489c08b3863a77141011 | [
"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 | 15,117 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import field_theory.normal
/-!
# Splitting fields
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
In this... |
fd1ca304b6e6c24d65afacd1228286f9134d41a7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/computability/NFA.lean | 1026ac008c6fb8295fadf922f5ae303e290aef4b | [
"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 | 5,015 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import computability.DFA
import data.fintype.powerset
/-!
# Nondeterministic Finite Automata
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require... |
6b38caeb4491c7fab99ba32a5608da619a66ccdb | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/zsqrtd/basic.lean | af6b10af5855779bc5299ca81de30cef357efecc | [
"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 | 27,014 | 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.int.basic algebra.associated data.nat.gcd tactic.ring
/-- The ring of integers adjoined with a square root of `d`.
These have the form `a + b √d` where... |
784198a385f45e2723008e849e2f07e26b59e528 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/fresh_names.lean | eab2d682ea7ed43e8a8562cecac624a80a513eeb | [
"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 | 5,086 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import data.sum
import meta.rb_map
import tactic.dependencies
/-!
# Tactics for giving hypotheses fresh names
When introducing hypotheses, we often want to make sur... |
e0e6524694430ae2a9e6be9b96355a6b909387a4 | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2004/IMO_2004_P5.lean | a993358f097a6cbc3d9ac88e64438760e6a7facd | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 444 | lean | import Geo.Geo.Core
namespace Geo
open Angle Quadrilateral Seg
def IMO_2004_P5 : Prop :=
∀ (A B C D : Point),
convex ⟨A, B, C, D⟩ →
¬isBisector ⟨B, D⟩ ⟨A, B, C⟩ →
¬isBisector ⟨B, D⟩ ⟨C, D, A⟩ →
∀ (P : Point),
inside P (Quadrilateral.mk A B C D) →
uangle ⟨P, B, C⟩ = uangle ⟨D, B, A⟩ →
uangle ⟨P, D, C⟩ = uangle ⟨B, D,... |
b6473e4a29e3f2ddb627fcb35ca35254bf092022 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/discrete_quotient.lean | e1b31901b9b35e93db2f40d77ef5d9ae0f781697 | [
"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 | 12,946 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Calle Sönne, Adam Topaz
-/
import topology.separation
import topology.subset_properties
import topology.locally_constant.basic
/-!
# Discrete quotients of a topological space.
> THIS FI... |
fdca4a4dc8c308e81b3227b38381581cdd5006c8 | a339bc2ac96174381fb610f4b2e1ba42df2be819 | /hott/algebra/group_theory.hlean | 6e4f5eb2d3180430b816a57b86b38a2bad025528 | [
"Apache-2.0"
] | permissive | kalfsvag/lean2 | 25b2dccc07a98e5aa20f9a11229831f9d3edf2e7 | 4d4a0c7c53a9922c5f630f6f8ebdccf7ddef2cc7 | refs/heads/master | 1,610,513,122,164 | 1,483,135,198,000 | 1,483,135,198,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,375 | 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... |
d1f834739b26c7b0e6fa8cecd33c4e0b521803fd | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/1723.lean | ad962fc91b6ea78d301ae6424face858314e2712 | [
"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 | 170 | lean | #reduce int.shiftl (-1) (-1)
#eval int.shiftl (-1) (-1)
#reduce int.shiftl (-4) (-2)
#eval int.shiftl (-4) (-2)
#reduce int.shiftl (-5) (-2)
#eval int.shiftl (-5) (-2)
|
3de427eecfba73ae81ce6218b0533f0c9343b028 | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/Util/Trace.lean | dcaed0cd86015494a0f04e48272f5812658cb606 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,707 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Leonardo de Moura
-/
import Lean.Message
import Lean.MonadEnv
universe u
namespace Lean
open Std (PersistentArray)
structure TraceElem where
ref : Syntax... |
44be522dd81f9ce8a45e53a92607f9b40638e434 | e5c11e5a7d990ce404047c2bd848eeafac3c0a85 | /src/admissible_absolute_value.lean | 75d486da86f728167d4cbefe1963fc5967ea947b | [
"LPPL-1.3c"
] | permissive | lean-forward/class-number | 9ec63c24845e46efc8fa8b15324d0815918292c7 | 4fccf36d5e0e16accae84c16df77a3839ad964e4 | refs/heads/main | 1,686,927,014,542 | 1,624,886,724,000 | 1,624,886,724,000 | 327,319,245 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,283 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import analysis.special_functions.pow
import algebraic_number_theory.class_number.euclidean_absolute_value
import algebraic_number_theory.class_number.finset
import combinat... |
1376e5ec8a03f282e8b81af91817d6257fbc9432 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/ring_theory/power_series.lean | de615c27a232dbc16ed2c41ca545e58f859d736f | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 58,303 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau
-/
import data.finsupp order.complete_lattice algebra.ordered_group data.mv_polynomial
import algebra.order_functions
import ring_theory.ideal_operations
/-... |
1b6965873de9d69808a72eec58bed14c9f30e940 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/field_theory/splitting_field.lean | b50aad9a27cad38a401bc65d0bb8b59d3e88b893 | [
"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 | 37,533 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import ring_theory.adjoin_root
import ring_theory.algebra_tower
import ring_theory.algebraic
import ring_theory.polynomial
import field_theory.minpoly
import linear_algeb... |
4378011234e2795be81d27cfaa9e17af1e4cf0e8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/matrix/hadamard.lean | b9e476dc644949ba0106a01ef4a50c3a05821ab4 | [
"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 | 3,429 | lean | /-
Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lu-Ming Zhang
-/
import data.matrix.notation
import linear_algebra.matrix.trace
/-!
# Hadamard product of matrices
This file defines the Hadamard product `matrix.hadamard`
and contain... |
6e0cbf30ae724c36e8ea51c90b5059eb32e0cf59 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/equiv/ring.lean | 63f1a46e70dcdb886ea2e5a05661e6390d593111 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,960 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.mul_add
import algebra.field
import algebra.opposites
/-!
# (Semi)ring equivs
In this file we define extension of ... |
11d63537fbf9c1d4d7613191f04556d9bebfd151 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/PreDefinition/Structural/BRecOn.lean | 2fc755fd4f4276c7313050f5a2d59b3c9bd3e1b3 | [
"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 | 12,104 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.HasConstCache
import Lean.Meta.CasesOn
import Lean.Meta.Match.Match
import Lean.Elab.RecAppSyntax
import Lean.Elab.PreDefinition.Basic
impo... |
0a7ad35b60f941386184f6237d2e3c720f981f04 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/init/hit.hlean | 4a6197c03af3b27d81457b1dd5d1e846bdc5fd65 | [
"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 | 3,288 | 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
Declaration of the primitive hits in Lean
-/
prelude
import .trunc .pathover
open is_trunc eq
/-
We take two higher inductive types (hits) as primitive notion... |
879f275aa864c7c615ae2b5d9c9c5685b2df01ed | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Meta/WHNF.lean | faadca91fea32d7713da6a721c382132b22bb5da | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 36,868 | 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.Structure
import Lean.Util.Recognizers
import Lean.Meta.GetConst
import Lean.Meta.FunInfo
import Lean.Meta.Match.MatcherInfo
import Lean.Meta.Ma... |
f3c552c136a447ec68b54b932c4b321628a9e40c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/nat/periodic.lean | a5a14e738006c9cfc93a9f22d904c0498c1ecf1e | [
"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 | 2,169 | lean | /-
Copyright (c) 2021 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
import algebra.periodic
import data.nat.count
import data.nat.interval
/-!
# Periodic Functions on ℕ
This file identifies a few functions on `ℕ` which are periodic, a... |
926a35961459412449d42705cef7391a64ca6bf9 | 74d9d5f45c6ce5c4f2faf215c04a68eab55fe525 | /src/topological_manifold.lean | de2ded0dd72cd2f3944bb1f8417c44b2b95c1c6e | [] | no_license | joshpoll/differential_geometry | 290bb8a934ca3b3b6b707d810e6d4b941710b710 | 57e00a7e37b7c4c73c847429171ff63d3a48def5 | refs/heads/master | 1,584,551,626,391 | 1,527,747,643,000 | 1,527,747,643,000 | 135,014,993 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,618 | lean | -- An n-dimensional topological manifold is a second countable Hausdorff space that is locally Euclidean of dimension n.
import analysis.real
import analysis.topology.topological_space
import data.vector
import .homeos
open topological_space
universes u
-- ℝ^n
def euclidean_space (n : ℕ) := vector ℝ n
local notati... |
b133d28df9620081f5cb0565e147b190f34cdfd1 | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world3/level2.lean | af6cd4a331db46aaa2b86e2f1bf900fecc1bf9f3 | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 723 | lean | import game.world3.level1 -- hide
import mynat.mul -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 2: `mul_one`
Remember that you can see everything you have proved so far about multiplication in
the drop-down box on the left (and that this list will grow as we proceed).
In this level we'll need... |
6ba89b3d058ab964a41da0927236fedc27be5a83 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/496.lean | a4455b4898131bab08dd336f2d4b8f0ed4c69697 | [
"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 | 127 | lean | axiom F : Type
axiom foo : F
def foo' : F := foo
axiom bla : Nat
noncomputable def bla1 : Nat := id bla
def bla2 := id bla1
|
64f54d63fc34537e046113112481ea1d11696891 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/struct1.lean | fca26b6b346fa10df25eb2452e1f671f7254bdf4 | [
"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 | 1,004 | lean | new_frontend
structure A (α : Type) :=
(x : α)
structure B (α : Type) :=
(x : α)
structure S : Nat := -- error expected Type
(x : Nat)
structure S extends Nat → Nat := -- error expected structure
(x : Nat)
structure S extends A Nat, A Bool := -- error field toA already declared
(x : Nat)
structure S extends A Nat... |
8abc4a792156b6fcedcabaf0005045a3e65b78f2 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/set_like.lean | a09a0c0b04a6769109de23df4cac514f9ee246e1 | [
"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 | 3,827 | 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 data.set.basic
/-!
# Typeclass for a type `A` with an injective map to `set B`
This typecalss is primary for use by subobjects like `submonoid` and `submodule`.
A... |
27c6d367643bf62069099de0e2f1d52ecd96d361 | a51edd9a1700339fa6dc7dc428eb5dfa3994b8bc | /src/examples.lean | 132236cd78e6a228653f03eb9fc06317ec18942c | [] | no_license | avigad/formal_logic | 83f5c0534b3e9e7da53eff01bb82289daad65555 | 59d7fe7cb7a7927fb72d89d4fd40965bcd769349 | refs/heads/master | 1,585,302,642,116 | 1,541,000,469,000 | 1,541,000,469,000 | 146,376,915 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 536 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import .subst
section examples
open hol
open hol.term
private def foo : term :=
let ty := mk_nat ⇒ mk_nat ⇒ mk_nat,
f := Const (const.user 0 ty []),
x ... |
dd081d5fbf6c5f728733c75286a7d9fd8a97ef8a | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Parser/Extension.lean | 02e40fe612272bb1a3615008c077635adede4267 | [
"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 | 28,483 | 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, Sebastian Ullrich
-/
import Lean.ResolveName
import Lean.ScopedEnvExtension
import Lean.Parser.Basic
import Lean.Parser.StrInterpolation
import Lean.KeyedDecl... |
415a7d111d9bca79efc8c8f2a7e32c901eff6e3a | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/ring_theory/algebra.lean | 549f45f75ad9b0b09b4835a28df6b1d21c6284f9 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 18,869 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Algebra over Commutative Ring (under category)
-/
import data.polynomial data.mv_polynomial
import data.complex.basic
import linear_algebra.tensor_product
import ring_theory.sub... |
fc296675303c080af4b39cd539799d42037f42fa | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /10_Structures_and_Records.org.13.lean | 98f2bb86840dd710e5256602946568e63f5a7798 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 178 | lean | import standard
structure point (A : Type) :=
mk :: (x : A) (y : A)
inductive color :=
red | green | blue
structure color_point (A : Type) extends point A :=
mk :: (c : color)
|
d35a01d79ea0276511b7472daac0bddc721c0a80 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/proposition/2.lean | 878a43da1eedbb2de92e022f2caa23090403e556 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 71 | lean | lemma imp_self (P : Prop) : P → P :=
begin
intro p,
exact p,
end
|
9b67d5691227b6cbdcca7b4611005261f26204cc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/logic/nonempty.lean | bf8eb3ed20519b4232722404617f3f91a9c4d1c6 | [
"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 | 5,820 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import logic.basic
/-!
# Nonempty types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This file pro... |
01e0e6e4af1d837ac79529030bb588884b688e7c | b24beef0a8b1a8e92be756a25aa78e24908b2b14 | /src/hints/thursday/afternoon/category_theory/exercise1/hint1.lean | 640a45feba2aca61ecc2058affadf91a3e58ed57 | [] | permissive | ChristopheMargerin/lftcm2020 | 14967e74cbe92a7b61d32d8130f32cfa09b5172b | 589180047fa4fdfb3179636db58b0b0320549871 | refs/heads/master | 1,668,536,269,632 | 1,594,891,664,000 | 1,594,891,664,000 | 280,112,730 | 0 | 0 | MIT | 1,594,891,963,000 | 1,594,891,962,000 | null | UTF-8 | Lean | false | false | 1,528 | lean | import category_theory.isomorphism
import category_theory.yoneda
open category_theory
open opposite
variables {C : Type*} [category C]
def iso_of_hom_iso_attempt_1 (X Y : C) (h : yoneda.obj X ≅ yoneda.obj Y) : X ≅ Y :=
-- We're trying to construct an isomorphism, so our first task is to write a stub for the structur... |
bc28cbc59591b7b75f8fc7ac8c30aa0b123ce9bf | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/meta/tactic/basic.lean | 4ba6c890eaa8947e996d2789bbd13254a7d5d824 | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,742 | lean |
import data.stream
import util.control.applicative
import util.logic
import tactic.nursery
namespace tactic
open tactic
open lean.parser
open interactive
open interactive.types
local postfix `?`:9001 := optional
local postfix *:9001 := many
meta def get_local_value (e : expr) : tactic (option expr) :=
try_core $ l... |
f7176b5ab3d76dd461a15f8ec0f0c1561254747c | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/algebra/char_zero.lean | 681e5e1a91d57a18eb2dbde003a8733706bf20f8 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 3,196 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import data.nat.cast algebra.field tactic.wlog
/-- Typeclass for monoids with characteristic z... |
22c10d8d8f7cfc620e569cc8e2d789970018e7b7 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/fintype.lean | 80d41f9e980e8ef49d65510f3410834623b1190e | [
"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 | 29,929 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas data.vector2 data.equiv.encodable
universes u v
variables {α : Type*} {β : Type*} {γ : Type*... |
a7ed03c5f9b04dcfd60ec049deb7905d401dc286 | 26b8b0964ca8e1c2e203585ba5940f83fe05e48a | /src/tidy/recover.lean | 299d82ca2b48f9c1071a4366c1bfdac11b27e836 | [] | no_license | jcommelin/lean-tidy | ef3cd32a3804221d93f0dff9e180bb2c52f4b143 | 9cecf497e90db64b5ea140ad6ae1603976dcd402 | refs/heads/master | 1,585,129,919,276 | 1,533,512,680,000 | 1,533,512,680,000 | 143,677,361 | 0 | 0 | null | 1,616,803,481,000 | 1,533,530,576,000 | Lean | UTF-8 | Lean | false | false | 1,747 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Mario Carneiro, Scott Morrison
open tactic
-- This has been PR'd to mathlib; remove when it's merged.
-- https://github.com/leanprover/mathlib/pull/125
meta def expr.metavaria... |
8f7fe0c2a086b3d5da3f57988d165931f0ada653 | d534932ed7c1eba03b537c377a4f8961acd41e99 | /examples/http-client/lakefile.lean | 9f0662092ba28f1425fdb633721d7ba587971756 | [
"Apache-2.0"
] | permissive | Adminixtrator/lean4-socket | d7e321d547df6545d0c085d310be8f2c41c44ddb | b313041f2e75f4ad8320ab66d7e2afafd2202318 | refs/heads/main | 1,692,582,696,753 | 1,633,439,398,000 | 1,633,439,523,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 135 | lean | import Lake
open Lake DSL
package http_client where
dependencies := #[{
name := `socket
src := Source.path "../../lake"
}] |
091feb2b09ead104133419a67f710988f60df109 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/autoparam.lean | 294708797e07d97d5f0fa38ebf4dc037d441b3d0 | [
"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 | 111 | lean |
def f (x y : Nat) (h : x = y := by assumption) : Nat :=
x + x
def g (x y z : Nat) (h : x = y) : Nat :=
f x y
|
fe433f2f4e9309459c7549b8435e62fe74d46edd | e21db629d2e37a833531fdcb0b37ce4d71825408 | /src/parlang/lemmas_memory.lean | abaaa4cd03e7cb71839399ccc24e86cc10cca5b9 | [] | no_license | fischerman/GPU-transformation-verifier | 614a28cb4606a05a0eb27e8d4eab999f4f5ea60c | 75a5016f05382738ff93ce5859c4cfa47ccb63c1 | refs/heads/master | 1,586,985,789,300 | 1,579,290,514,000 | 1,579,290,514,000 | 165,031,073 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 651 | lean | import parlang.defs
namespace parlang
namespace memory
variables {ι : Type} {τ : ι → Type} [decidable_eq ι] {m : memory τ} {i i' : ι} {val val' : τ i}
lemma get_update_success : get (update m i val) i = val := begin
unfold update get function.update,
simp,
end
lemma get_update_skip (h : i' ≠ i) : get (updat... |
eb2ea8d03853fed8fef76b5fa9b930c1758be6a4 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/mk_dec_eq_instance.lean | d578968fa4f3e6d4017d6a9c8c1cf0b68cd0a960 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 5,622 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Helper tactic for showing that a type has decidable equality.
-/
prelude
import init.meta.contradiction_tactic init.meta.constructor_tactic
import init.meta.i... |
e2d07e426460b0473dfd0bbc9db221e4d8f6f5ce | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/Misc1.lean | 601398241ab79ef71f5d4de87167a1d3baee8051 | [
"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 | 14,390 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
import Mathport.Syntax.Translate.Tactic.Lean3
import Mathport.Syntax.Translate.Tactic.Mathlib.Cache
import Mathpo... |
cae5a37be7752e701b3f92c6aa6c1918e11925aa | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/group_theory/presented_group.lean | 135a8b1ebcc16236e332ad305eb016cf524a9ba9 | [
"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 | 2,449 | lean | /-
Copyright (c) 2019 Michael Howes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Howes
Defining a group given by generators and relations
-/
import group_theory.free_group
import group_theory.quotient_group
variables {α : Type}
/-- Given a set of relation... |
5d90ea8518a0eda4e8cec86c1fe6ad24b37910e2 | df561f413cfe0a88b1056655515399c546ff32a5 | /8-inequality-world/l1.lean | 727e516a6ad00a1c7fc5ddccaaac29eb04017000 | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 109 | lean | lemma one_add_le_self (x : mynat) : x ≤ 1 + x :=
begin
rw le_iff_exists_add,
use 1,
exact add_comm 1 x,
end |
b0be9502248c41a501ef5397221160efc33b826b | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/dsimp_proj.lean | 8c98c5b1f1b73cbca05474224554132be328becf | [
"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 | 325 | lean | example (a b : nat) : a + b = b + a :=
begin
dsimp [has_add.add],
guard_target nat.add a b = nat.add b a,
apply nat.add_comm
end
example (f g : nat → nat) : (f ∘ g) = (λ x, f (g x)) :=
begin
fail_if_success {dsimp},
dsimp {unfold_reducible := tt},
guard_target (λ x, f (g x)) = (λ x, f (g x)),
refl
end
|
e928c79c4b7d764bef60b4061a125f1ed3f820a2 | 3b15c7b0b62d8ada1399c112ad88a529e6bfa115 | /src/Lean/Elab/Tactic/Conv/Pattern.lean | c643285c68ab7c303ad22f0bddb5cad2a7d7827d | [
"Apache-2.0"
] | permissive | stephenbrady/lean4 | 74bf5cae8a433e9c815708ce96c9e54a5caf2115 | b1bd3fc304d0f7bc6810ec78bfa4c51476d263f9 | refs/heads/master | 1,692,621,473,161 | 1,634,308,743,000 | 1,634,310,749,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,818 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Tactic.Simp
import Lean.Elab.Tactic.Conv.Basic
namespace Lean.Elab.Tactic.Conv
open Meta
private def getContext : MetaM Simp.Context := d... |
e313d8e91c995b5bdb56f83baeb4f324fa2ffed5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/instances/nnreal.lean | 32dab35f60751685bf5c9eb30cfdaea7df338c7d | [
"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 | 8,802 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
/-!
# Topology on `ℝ≥0`
The natural topology on `ℝ≥0` (the one induced from `ℝ`), and a... |
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