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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3d0f7d3ef858f2874f46d21538cceb6472395835 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/limits/shapes/default.lean | 87e6dd82926931fbb91afa8dffa3484f408d71be | [
"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 | 344 | lean | import category_theory.limits.shapes.terminal
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.pullbacks
import category_theory.limi... |
ca20420199b99bddfe1b8ad09317ac7097c45822 | 92b50235facfbc08dfe7f334827d47281471333b | /library/logic/connectives.lean | 7c893134d9599ec8bdc7c499b6c586c4c9a965bf | [
"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 | 11,544 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Haitao Zhang
The propositional connectives. See also init.datatypes and init.logic.
-/
open eq.ops
variables {a b c d : Prop}
/- false -/
t... |
deb9eb082aac3f77c13216244cce15f6a96af632 | 0003047346476c031128723dfd16fe273c6bc605 | /src/linear_algebra/determinant.lean | ff67f80ef2d9e1c988cd41e2604c6f799f821e9c | [
"Apache-2.0"
] | permissive | ChandanKSingh/mathlib | d2bf4724ccc670bf24915c12c475748281d3fb73 | d60d1616958787ccb9842dc943534f90ea0bab64 | refs/heads/master | 1,588,238,823,679 | 1,552,867,469,000 | 1,552,867,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,524 | 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
-/
import data.matrix
import group_theory.subgroup group_theory.perm.sign
universes u v
open equiv equiv.perm finset function
namespace matrix
variables {n : Type... |
5ebf56dd68b825a0cc7677e2cd793b4b066ba29a | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/group/hom.lean | 3e6ae28816f4fffb8228a816ab945be815611689 | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 35,624 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.commute
import algebra.group_with_zero.defs
/-!
... |
a5db3d59bed2cc09208e85b062ac06dc2c419c44 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/field_theory/ratfunc.lean | b327d011c141115a482446d48574f0a3733bbcbf | [
"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 | 59,951 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.euclidean_domain
import ring_theory.laurent_series
import ring_theory.localization.fraction_ring
import ring_theory.polynomial.content
/-!
# The field ... |
63720096654c70302bbe4ac26534f8cb1cd40039 | e4d500be102d7cc2cf7c341f360db71d9125c19b | /src/topology/algebra/ordered.lean | cba0ace776508dd4fd1d0c7f2f3e522f9e791abb | [
"Apache-2.0"
] | permissive | mgrabovsky/mathlib | 3cbc6c54dab5f277f0abf4195a1b0e6e39b9971f | e397b4c1266ee241e9412e17b1dd8724f56fba09 | refs/heads/master | 1,664,687,987,155 | 1,591,255,329,000 | 1,591,255,329,000 | 269,361,264 | 0 | 0 | Apache-2.0 | 1,591,275,784,000 | 1,591,275,783,000 | null | UTF-8 | Lean | false | false | 80,877 | 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, Yury Kudryashov
-/
import tactic.tfae
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
/-!
# Theory of topology on or... |
b7217c05e75bb3d61d7e70e90dd7072fa053d206 | 90bd8c2a52dbaaba588bdab57b155a7ec1532de0 | /src/homotopy/basic.lean | cfa036967a71c52c2c63266ae048f713be7aca5c | [
"Apache-2.0"
] | permissive | shingtaklam1324/alg-top | fd434f1478925a232af45f18f370ee3a22811c54 | 4c88e28df6f0a329f26eab32bae023789193990e | refs/heads/master | 1,689,447,024,947 | 1,630,073,400,000 | 1,630,073,400,000 | 381,528,689 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,065 | lean | import topology.continuous_function.basic
import topology.instances.real
import topology.path_connected
import intervals
/-!
# Homotopy
In this file, we define homotopies between continuous functions. Note in particular that we are
defining homotopies to be `to_fun : C(X × ℝ, Y)` instead of `to_fun : C(X × I, Y)`. Th... |
09f4f42bfbed076f3599073ddc879bef1dbf6049 | 2d2554d724f667419148b06acf724e2702ada7c9 | /src/solve.lean | 6289fe6a8e9914ccf4302b6448253d82e0fb7fdd | [] | no_license | hediet/lean-linear-integer-equation-solver | 64591803a01d38dba8599c5bde3e88446a2dca28 | 1a83fa7935b4411618c4edcdee7edb5c4a6678a7 | refs/heads/master | 1,677,680,410,160 | 1,612,962,170,000 | 1,612,962,170,000 | 337,718,062 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,319 | lean | import .definitions
import data.bool
import data.int.gcd
import tactic
import .mod
def find_isolated_var (e: Eqs): option (ℕ × ℕ) :=
let
indices := e.indexed_coefficients,
ones := indices.filter (λ t, t.fst.nat_abs = 1),
indices := ones.map (λ t, t.snd)
in
indices.head'
def find_min_non_zero_or_default (e: ... |
58e4a5ed43098ae8a873531e661f80bcb73aa2cc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/ring.lean | 69e59f23b6dd12955ccf82cdd77678c24c260ee4 | [] | 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 | 3,831 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Theory of topological rings.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.algebra.group
import Mathlib.ring_th... |
b590e317eac8b84be61ecc6a8bc067d76bcc6ac4 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/tools/debugger/util.lean | 94ab930be0afec791213a0e815081402ee575796 | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,991 | 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... |
07ad30bdd8886491a294f4dac7719297f32e67f8 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/logic/basic.lean | 3413cd16be0cfa10ebc7e2bedf71afc1e3459ca7 | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 50,533 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import tactic.doc_commands
/-!
# Basic logic properties
This file is one of the earliest imports in mathlib.
## Implementation notes
Theorems tha... |
6349c260dda719e9033a7e585dc9a9982463a3d9 | 05b503addd423dd68145d68b8cde5cd595d74365 | /test/equiv_rw.lean | c085cd3a27d16bb7d303c6b14a85984360a07977 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,690 | 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 tactic.equiv_rw
import category.equiv_functor.instances -- these make equiv_rw more powerful!
-- Uncomment this line to observe the steps of constructing appr... |
ce6b9f6ec524c239e6f8cc454c3ea201bd90ef57 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/elab_meta2.lean | de48504adb4e1d9dcf02cd57deb24c19c532489e | [
"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 | 886 | lean |
print "parametric meta_definition"
meta_definition f {A : Type} : nat → A → A → A
| n a b := if n / 2 = 0 then a else f (n / 2) b a
vm_eval
if f 10 1 2 = 2 then "OK" else "FAILED"
namespace foo
print "parametric meta_definition inside namespace"
meta_definition bla {A : Type} : nat → A → A → A
| n a b := if n / 2 =... |
d08415235a8fce606ca2340e0388b94c1a06853d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/rel.lean | 8d8a9a4194989a4abfcd0b79d130fb9f5937a343 | [
"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 | 7,614 | 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 order.galois_connection
/-!
# Relations
This file defines bundled relations. A relation between `α` and `β` is a function `α → β → Prop`.
Relations are also kn... |
a1b59997bfb9075cbf2ca97dd74a22388fead576 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Meta/Basic.lean | 2684c7b7308cb0ab456258397d41a40f65f0869c | [
"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 | 43,482 | 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.LOption
import Lean.Environment
import Lean.Class
import Lean.ReducibilityAttrs
import Lean.Util.Trace
import Lean.Util.RecDepth
import Lea... |
72aeffbd96f4ccd1361971c3407a70b1d6d06721 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /hott/algebra/category/functor/basic.hlean | 7749d966caea9be6c75e87965a62c984c08eaf72 | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 12,240 | 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, Jakob von Raumer
-/
import ..iso types.pi
open function category eq prod prod.ops equiv is_equiv sigma sigma.ops is_trunc funext iso pi
structure functor (C D : ... |
e6482a7835c10e92f33c59e4cf98a46690810903 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/omega/lin_comb.lean | 5abf6221492bb7bcb9cd260e86cf0e30f06750a2 | [
"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 | 2,162 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
/-
Linear combination of constraints.
-/
import tactic.omega.clause
namespace omega
/-- Linear combination of constraints. The second
argument is the list of constraint... |
e7250388c02ed38085cff3d548c2277d8b32d6e2 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/linear_algebra/dual.lean | ee57c6f01643876ab3f1bdd442cbead15df75c74 | [
"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 | 10,973 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Fabian Glöckle
-/
import linear_algebra.tensor_product
import linear_algebra.finite_dimensional
import tactic.apply_fun
noncomputable theory
/-!
# Dual vector spaces
... |
6a215d960cda2b29e70ff07999e571a64eb502e0 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/nilpotent.lean | 3918afdba6bd7bd87f80a545b1b110bc16273e8f | [
"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 | 5,851 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import data.nat.choose.sum
import algebra.algebra.bilinear
import ring_theory.ideal.operations
/-!
# Nilpotent elements
## Main definitions
* `is_nilpotent`
* `is_ni... |
ec7eae384117e29fee45cadc85772549557fe0c7 | c61b91f85121053c627318ad8fcde30dfb8637d2 | /Chapter4/4-3.lean | 7d463ffa95e498313e8220c74a7a2fa2d6786eeb | [] | no_license | robkorn/theorem-proving-in-lean-exercises | 9e2256360eaf6f8df6cdd8fd656e63dfb04c8cdb | 9c51da587105ee047a9db55d52709d881a39be7a | refs/heads/master | 1,585,403,341,988 | 1,540,142,619,000 | 1,540,142,619,000 | 148,431,678 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,486 | lean | namespace calcc
variables (a b c d e : ℕ)
variable h1 : a = b
variable h2 : b = c + 1
variable h3 : c = d
variable h4 : e = 1 + d
theorem T : a = e :=
calc
a = b : h1
... = c + 1 : h2
... = d + 1 : congr_arg _ h3
... = 1 + d : add_comm d (1 : ℕ)
... = e : h4.symm
end calcc
namespace tactics
vari... |
1c11783d4c666434785161910f07e43d2d10dbc3 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Meta/Tactic/Revert.lean | 5c0de7e1a7a083e31092ea344180dc14e6e07d71 | [
"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 | 1,903 | 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.Tactic.Clear
namespace Lean.Meta
/--
Revert free variables `fvarIds` at goal `mvarId`.
-/
def _root_.Lean.MVarId.revert (mvarId : MVarId)... |
87a8be1e99d3662fc23f532fb0357b335d36c41b | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/algebra/order/group.lean | 033993becd6eed136cbcee40c60906b4042c3e61 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 46,611 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.order.monoid
import order.order_dual
import algebra.abs
/-!
# Ordered groups
This file develops the ... |
1dcb566a5299f956d7f456966f9375c10fbae9ed | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/category_theory/opposites.lean | 2476a05afed7bd9ba50f5ee6160a6899ee6f39e4 | [
"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 | 14,813 | 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 category_theory.types
import category_theory.equivalence
universes v₁ v₂ u₁ u₂ -- morphism levels before object levels. See note [category_the... |
81c8babc905b83167da30e7a303c00a3381ec795 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/set_theory/pgame.lean | 5f54e7098c54b0660d483215dadcd0b35e1bc249 | [
"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 | 38,674 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison
-/
import data.equiv.basic logic.embedding
import data.nat.cast
import data.finset data.fintype
/-!
# Combinatorial (pre... |
8e60d7c9e3370fa2b84126a7819770d5488d00b0 | c17c60327eee1622a8d7defa5af340e08619107f | /src/snippets/essais.lean | 5cc5a4e5d97683eeaff407c297fcac956279e25b | [] | no_license | FredericLeRoux/dEAduction-lean2 | 277e3aad5102ff155fb04b188dbd01568ceea005 | bf7d7d88c2511ecfda5a98ed96e4ca3bc7ae1151 | refs/heads/master | 1,667,931,697,036 | 1,593,174,880,000 | 1,593,174,880,000 | 275,150,842 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,911 | lean | import tactic
import essai2structures
--import structures
namespace tactic.interactive
open lean.parser tactic interactive
open interactive (loc.ns)
open interactive.types
open tactic expr
local postfix *:9001 := many -- sinon ne comprends pas ident*
/- Appelle l'analyse récursive sur le but ou sur une hypothèse. No... |
46f84b8809ffc3f5124eec22c29a55d037f99bb7 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/Spec.lean | 3bffe23008df1fed2a4ad78dc2914a78f0269e25 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 474 | lean | import .global
universes u
local notation `Ring` := CommRing.{u}
local notation `Set` := Type u
namespace Spec
variables (R : Ring)
def Spec : Ring ⥤ Set :=
{
obj := λ A : Ring , R ⟶ A,
map := λ A B : Ring, λ ψ : A ⟶ B, λ ζ : R ⟶ A, ζ ≫ ψ,
}
lemma Spec.obj.ext (A : Ring) : (Spec R).obj A = (R ⟶... |
a0fb195c19c4563e2fca323ce3edf4987fa41619 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/cases_bug3.lean | f709594db09b9ade1a8a3fcfb5f99ee23ca4c12c | [
"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 | 94 | lean |
theorem ex {A : Type} : ∀ {a a' : A}, a == a' → a = a'
| a .a (heq.refl .a) := eq.refl a
|
44a029f8baea786908e376848f36eb2a63bf9767 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/matrix/pequiv.lean | d2ef9c0767470916aac78783569e2cf898a3841d | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,733 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.matrix.basic
import data.pequiv
/-!
# partial equivalences for matrices
Using partial equivalences to represent matrices.
This file introduces the function ... |
c9f8102c266bb64692270030a4eb7257de93365d | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/products/bifunctor.lean | bc3f6d84b83fb5eb941e09e5aa656de222fcb362 | [
"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 | 1,861 | 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 category_theory.products.basic
open category_theory
namespace category_theory.bifunctor
universes v₁ v₂ v₃ u₁ u₂ u₃
variables {C : Type u₁} ... |
5b6187a5e161d8bb040fab98ab4b239e3c76cbd7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/unif_issue2.lean | 002b79e79b0b7c121ac040ad8ae98393fd4fb820 | [
"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 | 315 | lean | import Lean
open Lean
#check @StateT.run Nat Id Nat (let f := fun (x : Unit) => pure 0; f ()) 0
#check Id.run $ StateT.run (let x := fun _ => pure 0; x ()) 0
#check @StateT.run Nat Id (List Nat) (let x := fun _ => pure [0]; x ()) 0
#check @Unhygienic.run Syntax $ let x := fun _ => pure Syntax.missing; x ()
|
92af91781313d91acae01a71bd2176bdb7cd1f42 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/group_theory/order_of_element.lean | 2c1503e5b270be2c7df3948b3cd65c979bcb9aac | [
"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 | 39,275 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Julian Kuelshammer
-/
import algebra.pointwise
import group_theory.coset
import dynamics.periodic_pts
import algebra.iterate_hom
/-!
# Order of an element
This file d... |
6e3a622443b8a5abac77498bf0c5822ae1e89ec0 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/logic/basic.lean | e4b5d9cb3afe4428f74fcb41f414dbac21fe16ba | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 69,115 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import tactic.doc_commands
import tactic.reserved_notation
/-!
# Basic logic properties
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to... |
fb052038240042379e8a5297a78edab7558fb645 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/punit.lean | 834a3f78b5fd474a26b6fc480580e496457e0f2d | [
"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 | 3,326 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.functor.const
import category_theory.discrete_category
/-!
# The category `discrete punit`
We define `star : C ⥤ discrete punit... |
242b87929b99c489516e0e8fdc6eb34d3ee8fd36 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/representation_theory/maschke.lean | 61286ebb5239340ceb225ff335e39baac1719ff8 | [
"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 | 6,360 | 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.monoid_algebra.basic
import algebra.char_p.invertible
import algebra.regular.basic
import linear_algebra.basis
/-!
# Maschke's theorem
We prove **Mas... |
62077922b0e9919b23a3905217411c94258e061c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/Miller1.lean | 3718ba118a3d41d70d517757240a136cb524c5d8 | [
"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 | 536 | lean | class HasMulComm (α : Type u) [Mul α] : Prop where
mulComm : {a b : α} → a * b = b * a
class A (α : Type u) extends Mul α
attribute [instance] A.mk
class B (α : Type u) extends A α, HasMulComm α
attribute [instance] B.mk
example [Mul α] : A α := inferInstance
example [Mul α] [HasMulComm α] : A α := inferInstance... |
9e360d29f0c5b93864a38280aca7d0e93c9c2dab | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/print_cmd.lean | 8cf20fd256e4a6cfb6deb99205876a3c6fe14e56 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 290 | lean | #print Nat
new_frontend
private def foo (x : Nat) : Nat := x + 1
#print "hello"
#print id
#print propext
#print arbitrary
#print ReaderT.read
#print Prod
#print Prod.mk
#print Nat
#print Nat.succ
#print Nat.rec
#print Nat.casesOn
#print foo
#print Quot.mk
#print Quot.ind
#print Quot.mk
|
d079d526399f176729f3cb92e7a35b7ceb8530b3 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Data/LBool.lean | 966e9deda7e78413d5eb5115f52260c316f80bac | [
"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 | 980 | 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
-/
namespace Lean
inductive LBool
| false
| true
| undef
namespace LBool
instance : Inhabited LBool := ⟨false⟩
def neg : LBool → LBool
| true => false
| ... |
317af2af53153ee878c17205462d909b2468a098 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/convex/proj_Icc.lean | 3115cdffd85d208db103d38bf1f9cbcfd8437d42 | [
"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 | 4,580 | lean | /-
Copyright (c) 2023 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import analysis.convex.function
import data.set.intervals.proj_Icc
/-!
# Convexity of extension from intervals
This file proves that constantly extending monotone/antit... |
a3410e11983b289fcf0edca762a8433af4fbc8ee | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/topological_groups.lean | c330b09f51cb045571c569d4674066a55e7b7b76 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 13,410 | lean | import tactic.abel
import topology.algebra.group
--import topology.algebra.uniform_ring
import for_mathlib.uniform_space.ring
import ring_theory.subring
import for_mathlib.topology
import for_mathlib.filter
universes u v
open filter set
section
variables {G : Type u} [add_comm_group G]
def prod_map {α₁ : Type*} {α... |
26bba880f49b92702db06cf60c6f7a76a5c138a9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/monoidal/functor_category_auto.lean | 513e583256cfac4992210cab4c1aee77d8e8589b | [] | 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 | 5,636 | 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.category_theory.monoidal.braided
import Mathlib.category_theory.functor_category
import Mat... |
793c7310966ca7b6952a58e4500ff289f960489c | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/monoidal/of_has_finite_products.lean | 139c082caf2c077a9b3fdb4b3c0ce6ff7e80c73d | [
"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 | 2,214 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Simon Hudon
-/
import category_theory.monoidal.category
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.binary_products
import... |
d92abee7df51875e2ba34036c4479e170e7f3077 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/data/equiv/mul_add_aut.lean | 89705c0d1f57de70561b8e87d860187942e4f5ab | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,631 | 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 group_theory.perm.basic
/-!
# Multiplicative and additive group automorphisms
This file defines the... |
3e955f4db67c2d62b9dc43974bb08bf8748c2e24 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/box_integral/box/basic.lean | 74828f30cec5011d2a26da5bcb992720ac0df2f7 | [
"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 | 17,907 | 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... |
7118fc41bcfce853066c6c4009c2ff2b5d2b19cc | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/sum.lean | 9b48ad1ad827ba2649545c01c6c647ac70b99800 | [
"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 | 9,463 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury G. Kudryashov
-/
import logic.function.basic
/-!
# More theorems about the sum type
-/
universes u v w x
variables {α : Type u} {α' : Type w} {β : Type v} {β' : ... |
155f6e01d7301e298d946327ba713691ec4d3ec9 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Init/Data/List/Basic.lean | f15f9b617913470429cd641aca17cb47dd9bc8c1 | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 19,997 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.SimpLemmas
import Init.Data.Nat.Basic
open Decidable List
universe u v w
variable {α : Type u} {β : Type v} {γ : Type w}
namespace Lis... |
220c1d29256bb17cd5e8e0d19bce9daeb26d96ed | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/algebra/category/morphism.lean | bd51703e891b6bad796f10ba15346eecf8424543 | [
"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 | 11,840 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.morphism
Author: Floris van Doorn
-/
import .basic algebra.relation algebra.binary
open eq eq.ops category
namespace morphism
variables {ob : Type} [C : categor... |
dc73260c771c686b0001b884a0f936e0bdf55dc3 | fef48cac17c73db8662678da38fd75888db97560 | /src/Zalpha.lean | 9f1e9ce2d6e35dc65cf48fb92cfde40f8f0486ec | [] | no_license | kbuzzard/lean-squares-in-fibonacci | 6c0d924f799d6751e19798bb2530ee602ec7087e | 8cea20e5ce88ab7d17b020932d84d316532a84a8 | refs/heads/master | 1,584,524,504,815 | 1,582,387,156,000 | 1,582,387,156,000 | 134,576,655 | 3 | 1 | null | 1,541,538,497,000 | 1,527,083,406,000 | Lean | UTF-8 | Lean | false | false | 12,743 | lean | import mathlib_someday
import tactic.ring
import data.zsqrtd.basic
-- Z[alpha] where alpha := (1 + sqrt(5))/2, representing the minimal ring
-- (with addition, subtraction, and multiplication) containing the roots
-- of x^2-x-1 = 0: alpha := (1 + sqrt(5))/2 and beta (1 - sqrt(5))/2
-- (with beta < alpha)
--
-- i as in... |
18cbd36127469b7193920647e727ff3e05cecc72 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/data/zmod/basic.lean | de709d8d6614f50ae10d0a16c45472683762f811 | [
"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 | 14,890 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.int.modeq data.int.gcd data.fintype data.pnat
local attribute [instance, priority 0] nat.cast_coe
local attribute [instance, priority 0] int.cast_coe
open na... |
bda4b93e71eef6720f32dd96cec516ff169ef346 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/geometry/manifold/times_cont_mdiff_map.lean | e10ffbbdb3d72cc6c5e210a6b5717deab592c4b0 | [
"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 | 3,425 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Nicolò Cavalleri.
-/
import geometry.manifold.times_cont_mdiff
import topology.continuous_map
/-!
# Smooth bundled map
In this file we define the type `times_cont_mdiff_map` of `n` t... |
e3e530ebf5348b00d1ed7ee856342660795d5d38 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Control/Option.lean | ebdcb40e97a3154c596a3210c20a7acaa070df8a | [
"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 | 2,322 | 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, Sebastian Ullrich
-/
prelude
import Init.Data.Option.Basic
import Init.Control.Basic
import Init.Control.Except
universe u v
instance : ToBool (Option α) :=... |
863d8c82232495afec67fa9f9d095e93cf0fdded | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Meta/Closure.lean | 4da4f78f251d8cbc9e721a7bb53be68400aa95e9 | [
"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 | 14,218 | 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.MetavarContext
import Lean.Environment
import Lean.Util.FoldConsts
import Lean.Meta.Basic
import Lean.Meta.Check
/-!
This module provides func... |
a4a781fe5263a56b2356ac8357391238abb75041 | a5e2e6395319779f21675263bc0e486be5bc03bd | /bench/stlc100k.lean | 53d30169d71594c8b45ca723b670c59f685b3f68 | [
"MIT"
] | permissive | AndrasKovacs/smalltt | 10f0ec55fb3f487e9dd21a740fe1a899e0cdb790 | c306f727ba3c92abe6ef75013da5a5dade6b15c8 | refs/heads/master | 1,689,497,785,394 | 1,680,893,106,000 | 1,680,893,106,000 | 112,098,494 | 483 | 26 | MIT | 1,640,720,815,000 | 1,511,713,805,000 | Lean | UTF-8 | Lean | false | false | 6,398,130 | lean | def Ty0 : Type 1
:= ∀ (Ty0 : Type)
(nat top bot : Ty0)
(arr prod sum : Ty0 → Ty0 → Ty0)
, Ty0
def nat0 : Ty0 := λ _ nat0 _ _ _ _ _ => nat0
def top0 : Ty0 := λ _ _ top0 _ _ _ _ => top0
def bot0 : Ty0 := λ _ _ _ bot0 _ _ _ => bot0
def arr0 : Ty0 → Ty0 → Ty0
:= λ A B Ty0 nat0 top0 bot0 arr0 ... |
d7fd9f7e7cce4638415af0e763b7c990852c457a | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/preadditive/schur.lean | 722297b7871755febc2f109ae99ff545dd298347 | [
"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 | 1,960 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.simple
import category_theory.preadditive
/-!
# Schur's lemma
We prove the part of Schur's Lemma that holds in any preadditive ... |
d8597589257afcca6ae8cdd17e2b08909e00fa13 | 0b48b079330fa68b31d4bae203b884f86528fdfc | /2015/qualifying_round/1.Cooking_the_Books/solutions/sources/x.8606.Lean | 70080cdedb0d1a51f88174400c6614257631deff | [] | no_license | kwx4github/facebook-hackercup-problem-sets | 1254455aad782ff30cc0b1640eafbcdc5e8b4242 | 85b5775179a4c718db092c3ce66f343d02a91627 | refs/heads/master | 1,611,179,352,676 | 1,426,342,682,000 | 1,426,342,682,000 | 30,278,888 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,116 | lean | #include <iostream>
#include <fstream>
#include <string>
#include <sstream>
#include <iomanip>
using namespace std;
int n;
string *a;
void readf(){
ifstream fi ("cooking_the_books.txt");
fi>>n;
a = new string[n];
for (int i=0; i<n; i++) fi>>a[i];
fi.close();
}
bool check(string s){
int n =... |
90bb87480563e35d7fad5ab12fd0517ff4e2a31b | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Environment.lean | 1eaccd161deb6be85678624ba8608f4dd3722e7d | [
"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 | 42,285 | 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.HashMap
import Lean.ImportingFlag
import Lean.Data.SMap
import Lean.Declaration
import Lean.LocalContext
import Lean.Util.Path
import Lean.... |
472a87b84336be01038adf6e38d90816df86bca4 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/stone_cech_auto.lean | 845341aa1869955ecf64f9ebaf2d203c080b5e9e | [] | 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 | 8,661 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.bases
import Mathlib.topology.dense_embedding
import Mathlib.PostPort
universes u u_1
... |
d723fa935f59aa9c1a5f2403f8c6a9b9def991a7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/mv_polynomial/default_auto.lean | f34ceba3a890f7365c0a58e3960b7a4bbb2437cc | [] | 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 | 284 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.mv_polynomial.basic
import Mathlib.data.mv_polynomial.variables
import Mathlib.data.mv_polynomial.rename
import Mathlib.data.mv_polynomial.comm_ring
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
b2702683b50e9b1ff9cb3422bfe342453138d229 | 90edd5cdcf93124fe15627f7304069fdce3442dd | /stage0/src/Lean/Aesop/RuleBuilder.lean | 5eabaf25aa033270e4449be45eb6d1e07849390e | [
"Apache-2.0"
] | permissive | JLimperg/lean4-aesop | 8a9d9cd3ee484a8e67fda2dd9822d76708098712 | 5c4b9a3e05c32f69a4357c3047c274f4b94f9c71 | refs/heads/master | 1,689,415,944,104 | 1,627,383,284,000 | 1,627,383,284,000 | 377,536,770 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,776 | lean | /-
Copyright (c) 2021 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import Lean.Aesop.Rule
import Lean.Aesop.RuleTac
open Lean.Meta
namespace Lean.Aesop
structure RegularRuleBuilderResult where
builderName : Name
tac : RuleTac... |
b54e04468fd0c1263e0bc073bbbba0ae0ecf3b00 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/field_theory/polynomial_galois_group.lean | a8c28e81ec5e9dccd17d7e4549a8807954881e92 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 13,455 | lean | /-
Copyright (c) 2020 Thomas Browning and Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning and Patrick Lutz
-/
import field_theory.galois
/-!
# Galois Groups of Polynomials
In this file we introduce the Galois group of a polynomial, defin... |
e3e4e705674cd567144ddc35378721f223b32dde | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/pfunctor/univariate/M.lean | fc83235c2e43e2e488c7627aa10596d4b1c6e6ec | [
"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 | 22,049 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.pfunctor.univariate.basic
/-!
# M-types
M types are potentially infinite tree-like structures. They are defined
as the greatest fixpoint of a polynomial functo... |
cf0c93e055c44a2e38296abd76d68edc91ad2cfa | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex40.lean | e3627e0fa982d103dc8242871e3e96265bda97c0 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 1,059 | lean | /- Universal quantifier
* Introduction:
Given a proof of p x, in a context where x : A is arbitrary,
we obtain a proof ∀ x : A, p x.
In the propositions-as-types interpretation
Given a term t of type B x, in a context where x : A is arbitrary,
we have (λ x : A, t) : (Π x : A, B x).
* Elimination:
Given a proof ∀ ... |
4cfb8deb41680d60a4c8282b4ed6fed309bffb48 | 8e381650eb2c1c5361be64ff97e47d956bf2ab9f | /src/sheaves/sheaf_on_standard_basis.lean | cb4e3fa9fa501b0b7126cbe2d7f399e3fe2b5117 | [] | no_license | alreadydone/lean-scheme | 04c51ab08eca7ccf6c21344d45d202780fa667af | 52d7624f57415eea27ed4dfa916cd94189221a1c | refs/heads/master | 1,599,418,221,423 | 1,562,248,559,000 | 1,562,248,559,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,030 | lean | /-
Sheaf (of types) on standard basis.
https://stacks.math.columbia.edu/tag/009L
-/
import topology.basic
import to_mathlib.opens
import sheaves.covering.covering_on_standard_basis
import sheaves.presheaf_of_rings_on_basis
universe u
open topological_space
namespace sheaf_on_standard_basis
variables {α : Typ... |
8778e8a76c96afc9c97fcd2e45496e99bf894dc1 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex14.lean | ceb1cfebf70c3653b984fed31cdd14b2155ef9d2 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 369 | lean | /- Other forms of reduction -/
constants m n : nat
constant b : bool
print "reducing pairs"
eval (m, n).1 -- m
eval (m, n).2 -- n
print "reducing boolean expressions"
eval tt && ff -- ff
eval ff && b -- ff
print "reducing arithmetic expressions"
eval n + 0 -- n
eval n + 2 ... |
8286abcc2fbfd2468ff361b2e59b2c514baac4ea | fddcf4b659baa121761c71be606b3f74b86fa695 | /tactics.lean | 8479e140ff9b8ac5b9c0c3e858572a3c051d0101 | [] | no_license | swarnpriya/Lean | 4218df9392f396cd7e5e745de35a917536ebd2bb | a0a9978fd058041eb1a09aec0e2dd7d19a7436a7 | refs/heads/master | 1,595,831,634,399 | 1,568,673,127,000 | 1,568,673,127,000 | 208,903,604 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,262 | lean | -- Tactics are commands or instructions that describe how to build a proof.
-- Tactics are easier and shorter to write
theorem test (p q : Prop) (hp : p) (hq : q) :
p ∧ q ∧ p :=
begin
apply and.intro,
apply hp,
apply and.intro,
apply hq,
apply hp
end
#print test
example (p q r : Prop) :
p ∧ (q ∨ r) <-> (p ∧... |
c651cc4f0ee698013a15d4e530198a7980760f69 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/liminf_limsup.lean | 0feb82a1a7580095f9af80ccc577b2ca80dcb30f | [
"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 | 21,089 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johannes Hölzl
-/
import order.filter.partial
import order.filter.at_top_bot
/-!
# liminfs and limsups of functions and filters
Defines the Liminf/Limsup of a f... |
a49a0bc65e0cdaf9fd8b4aa737381868550cf114 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Data/Lsp/InitShutdown.lean | 226aad600ddc84257c8827173b32b4fae816db70 | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 3,896 | 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
... |
8bc76188609b1e1ffeba2e8242db48e5f4959002 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/category/Algebra/basic.lean | 1676e2f45f0fd45e9873fd4f940db1adf5bfe9d5 | [
"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 | 4,792 | 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.algebra.basic
import algebra.algebra.subalgebra
import algebra.free_algebra
import algebra.category.CommRing.basic
import algebra.category.Module.basic... |
39ccdcda9719d0d3164bcf1365e29fc52f25edd6 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/category_theory/limits/constructions/over/default.lean | 2caf8bfcf26e49a5b95ceb093b08d0aa7a4dff28 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,113 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.limits.constructions.over.products
import category_theory.limits.constructions.over.connected
import category_theory... |
50f376a950b65cc74f15e222fa1b062255854c08 | 92b50235facfbc08dfe7f334827d47281471333b | /tests/lean/rw_set2.lean | 0b5522d748bcc296a68b22b6bbb686eafdd2b7eb | [
"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 | 209 | lean | open nat
constant f : nat → nat
constant g : nat → nat
axiom foo : ∀ x, x > 0 → f x = 0 ∧ g x = 1
axiom bla : ∀ x, g x = f x + 1
attribute foo [rewrite]
attribute bla [rewrite]
print [rewrite]
|
975d641ba6f118ed1cf68b6e7251e26915f6c96c | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/data/nat/default.lean | 56f86e1154db5b7403cb1dd9e8857f3e90602dc9 | [
"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 | 385 | lean | ----------------------------------------------------------------------------------------------------
-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Jeremy Avigad
---------------------------------------------------------... |
05866b1c44426aad9d45295d0f9c0f650c3667c6 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/types/univ.hlean | ff554d91417634596963dfd13ed1a8812f7cf0ae | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 4,896 | 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
Theorems about the universe
-/
-- see also init.ua
import .bool .trunc .lift .pullback
open is_trunc bool lift unit eq pi equiv equiv.ops sum sigma fiber prod pul... |
592b1008289ad8c7e3af0821b7af4c56ab148b2c | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.3.lean | a9caad76ab4fba8706cb1e7a4385ae5e9efdac0a | [] | 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 | 192 | lean | import standard
theorem test (p q : Prop) (Hp : p) (Hq : q) : p ∧ q ∧ p :=
begin
apply and.intro,
exact Hp,
apply and.intro,
exact Hq,
exact Hp
end
-- BEGIN
reveal test
print test
-- END
|
aa13acfe2600d67134e54215d04a5bf7166d0f4e | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level1.lean | 3ceca8425438100595b01c85c96486b8647e3950 | [
"Apache-2.0"
] | permissive | nomoid/lean-proofs | 4a80a97888699dee42b092b7b959b22d9aa0c066 | b9f03a24623d1a1d111d6c2bbf53c617e2596d6a | refs/heads/master | 1,674,955,317,080 | 1,607,475,706,000 | 1,607,475,706,000 | 314,104,281 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 164 | lean | import mynat.definition
namespace mynat
theorem succ_inj' (a b : mynat) (hs : succ(a) = succ(b)) : a = b :=
begin
apply succ_inj,
exact hs,
end
end mynat |
474f76df2d9bb26172f185577b887e2f1f0cf560 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/group_with_zero/defs.lean | a3dca7dee20ddf7736ddfb69c896c846e6b0f135 | [
"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 | 5,446 | 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 algebra.group.defs
import logic.nontrivial
/-!
# Typeclasses for groups with an adjoined zero element
This file provides just the typeclass definitions, and ... |
3923a7c5bfc64ebf4c5960daaad8dc81286f6df1 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/types/eq.hlean | 77bf5cb7f7f62aa65a8824b6f8f2915f9f542b44 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 21,911 | hlean | /-
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
Partially ported from Coq HoTT
Theorems about path types (identity types)
-/
import types.sigma
open eq sigma sigma.ops equiv is_equiv is_trunc
namespace eq
/- P... |
3a10f254197b6edf5a56a8a2ce08fd820d0cbc90 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/ring_theory/principal_ideal_domain.lean | 7e1ec297d48164d0560dd0f89a468ec6bf3e59ba | [
"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 | 10,178 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Morenikeji Neri
-/
import ring_theory.noetherian
import ring_theory.unique_factorization_domain
/-!
# Principal ideal rings and principal ideal domains
A principal ideal r... |
f372581f8e42951bb94a28b44ff90672f73b75af | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/closed/functor.lean | e7c11c984949e2bec7c2d2639b0a0c6f446c2b17 | [
"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 | 6,635 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.closed.cartesian
import category_theory.limits.preserves.shapes.binary_products
import category_theory.adjunction.fully_faithful
/-!
# Cartesian ... |
798a17b6c310ef698a66ac0eec500d7bfd6579c4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_topology/dold_kan/n_comp_gamma.lean | ac2c1537c3539067638eedd2e34834915243b4d1 | [
"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 | 10,932 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.gamma_comp_n
import algebraic_topology.dold_kan.n_reflects_iso
/-!
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file re... |
1ae6e77c9990cebdd8b04a35c48bfe8c6febde84 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/ring_theory/algebra_tower.lean | 8a8c612e536cdc16fe101115db6cdd164ccbc0d8 | [
"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 | 12,193 | 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 ring_theory.adjoin
/-!
# Towers of algebras
We set up the basic theory of algebra towers.
The typeclass `is_algebra_tower R S A` expresses that `A` is an `S`-algebra,... |
fec98d1f3d867ab7087ef6375c2ce674a290f2bb | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/localization.lean | 7266ed7e747ce7bbce2256e1808e82b21a0446ed | [
"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 | 78,308 | 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, Johan Commelin, Amelia Livingston
-/
import data.equiv.ring
import group_theory.monoid_localization
import ring_theory.ideal.operations
import ring_theory.ideal.... |
7c9f24a1d558d34e548d83f5818b3c7467cc8ee5 | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /data/option.lean | f9cb4283482ecbe05394c9697f42520853038e5c | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,111 | 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 logic.basic data.bool init.data.option.instances
namespace option
universe u
variables {α β : Type u}
instance has_mem : has_mem α (option α) := ⟨λ a b, b = ... |
c0e07461ff7b8ae95774f1cb25ba32bfc9cdbd89 | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/isos/fin.lean | 917eccc84834695c267acb94d75647fa656915bc | [
"MIT"
] | permissive | skaslev/papers | acaec61602b28c33d6115e53913b2002136aa29b | f15b379f3c43bbd0a37ac7bb75f4278f7e901389 | refs/heads/master | 1,665,505,770,318 | 1,660,378,602,000 | 1,660,378,602,000 | 14,101,547 | 0 | 1 | MIT | 1,595,414,522,000 | 1,383,542,702,000 | Lean | UTF-8 | Lean | false | false | 2,314 | lean | import data.iso
namespace fin
@[simp]
def mk.eta {n} (i : fin n) {h} : fin.mk i.val h = i :=
by induction i; refl
def zero_iso : fin 0 ≃ 0 :=
⟨λ x, fin.elim0 x, λ x, pempty.rec _ x,
λ x, fin.elim0 x, λ x, pempty.rec _ x⟩
def one_iso : fin 1 ≃ 1 :=
⟨λ x, (),
λ x, 0,
λ x, by induction x with x h; simp [lt_one h]; c... |
55949c236547de97b0ecc2c307e48ab53c33dbb2 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/deprecated/subfield.lean | 7c7cd6389ee0c14f885a0d12af0c2da1666f1cea | [
"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 | 5,832 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import deprecated.subring
import algebra.group_with_zero.power
/-
# Unbundled subfields
This file introduces the predicate `is_subfield` on `S : set F` where `F... |
fde00bdc0afe18ea2a112082bdae93d54fff69d4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/ind_whnf2.lean | 43ab6f4f5b2bcfafc95f3e4d69beb99f4f5f70c0 | [
"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 | 218 | lean | def Set (α : Type u) : Type u := α → id Prop
mutual
inductive Even : id (Set Nat)
| zero : Even 0
| succ : Odd n → Even n
inductive Odd : Set Nat
| succ : Even n → Odd n
end
#print Even
#print Odd
|
c014c0f5a83756d038d1f86d0be38d006a150dc6 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/MetavarContext.lean | ec285b2d2602c0a3f0b1d8b23f5a081b6ad20d47 | [
"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 | 54,594 | 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.Util.MonadCache
import Lean.LocalContext
namespace Lean
/-
The metavariable context stores metavariable declarations and their
assignments. It... |
713c978a604261a44758fc4fe8ed0195f161c50a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/ind5.lean | 6fc537c951456d32c8afa9694086cd7e464e9077 | [
"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 | 177 | lean | prelude
definition Prop : Type.{1} := Type.{0}
inductive or (A B : Prop) : Prop
| intro_left : A → or
| intro_right : B → or
#check or
#check or.intro_left
#check or.rec
|
583505a500c18dd85edbd13fcbaeb2a2023c200f | cabd1ea95170493667c024ef2045eb86d981b133 | /src/super/clause.lean | 63c57fb2ef2775a679a1abf77b043c49250cc518 | [] | no_license | semorrison/super | 31db4b5aa5ef4c2313dc5803b8c79a95f809815b | 0c6c03ba9c7470f801eb4d055294f424ff090308 | refs/heads/master | 1,630,272,140,541 | 1,511,054,739,000 | 1,511,054,756,000 | 114,317,807 | 0 | 0 | null | 1,513,304,776,000 | 1,513,304,775,000 | null | UTF-8 | Lean | false | false | 8,664 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import init.meta.tactic .utils .trim
open expr list tactic monad decidable native
namespace super
meta def is_local_not (local_false : expr) (e : expr) : option expr ... |
5588d2936425a5618356355ca9c36759d8142b7d | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category/fold.lean | ed84dc1066ca91b4def2106af1e549bab8d00aa9 | [
"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 | 14,644 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Sean Leather
List folds generalized to `traversable`. Informally, we can think of
`foldl` as a special case of `traverse` where we do not care about the
reconstructed data s... |
1f638919c630f38e318ffb75bc73502cb9901f16 | 2102833783742d9cd20d98b382ecb3af427d8071 | /library/init/meta/match_tactic.lean | 1b93110500016bead28f38ecd60d3033a66d884f | [
"Apache-2.0"
] | permissive | bryangingechen/lean | b63dd2b7d2ed46c13c6226148691b7d88282e9b2 | ec76117504723667bdc0dda4b93aa1b31536147d | refs/heads/master | 1,592,587,806,769 | 1,568,328,715,000 | 1,568,328,715,000 | 196,801,202 | 0 | 0 | Apache-2.0 | 1,563,085,022,000 | 1,563,085,022,000 | null | UTF-8 | Lean | false | false | 4,704 | 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.meta.interactive_base init.function
namespace tactic
meta structure pattern :=
/- Term to match. -/
(target : expr)
/- Set of universes... |
171f11f387a0fd78b74447342e68da340f11686a | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/category_theory/fully_faithful.lean | 7ef8937c3270d18fc81cca28549c8beb11329a5b | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 6,599 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import logic.function.basic
import category_theory.natural_isomorphism
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; see `category_theory.category` for an ... |
5225f0f33b9f396000f4f4befaee10d027293362 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Init/Control/Basic.lean | 7f3d120303f3c905e492779844f99129cee68447 | [
"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 | 3,628 | 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, Sebastian Ullrich
-/
prelude
import Init.Core
universes u v w
@[reducible] def Functor.mapRev {f : Type u → Type v} [Functor f] {α β : Type u} : f α → (α → β... |
8084de91bc0b4142cfa2c246ea9e4daa8a964b6f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/filter/n_ary.lean | b4bca5c1a51e0fa763130d2d2c55f0b4050b312f | [
"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 | 18,070 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.filter.prod
/-!
# N-ary maps of filter
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This ... |
0f6df1485ab8731603c5b8ecb60312d2a9947c6e | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/order/filter.lean | 072ee8ee41e82e028c39cc74895c5fa417c6d03f | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 94,815 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of filters on sets.
-/
import order.galois_connection order.zorn
import data.set.finite data.list
import algebra.pi_instances
import category.applicative
open la... |
9afdbae352d311fbc9fe2bd1d4580cce2abbd34c | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib/Mathport/Rename.lean | c79b0e19729c45f79f94f24d9d6effe23516a62d | [
"Apache-2.0"
] | permissive | denayd/mathlib4 | 750e0dcd106554640a1ac701e51517501a574715 | 7f40a5c514066801ab3c6d431e9f405baa9b9c58 | refs/heads/master | 1,693,743,991,894 | 1,636,618,048,000 | 1,636,618,048,000 | 373,926,241 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,551 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean
namespace Mathlib.Prelude.Rename
open Lean
open System (FilePath)
open Std (HashMap)
abbrev RenameMap := HashMap Name Name
def RenameMap.insertP... |
ce6c7605617744b25f57f4d157533c4f50ed0d13 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/tensor_algebra.lean | 8071a4a48f72d023781b9310bf665f0e8d696422 | [
"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 | 7,198 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import algebra.free_algebra
import algebra.ring_quot
import algebra.triv_sq_zero_ext
/-!
# Tensor Algebras
Given a commutative semiring `R`, and an `R`-module `M`, we const... |
83d7b2af04d65cf7f1ecf95f231699aef6276260 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/2199.lean | c95d133e820eb43a50eff5165f98fe16029db869 | [
"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 | 207 | lean | theorem exists_foo : ∃ T : Type, Nonempty T := ⟨Unit, ⟨()⟩⟩
set_option trace.Meta.debug true
example : True := by
cases exists_foo
rename_i T hT
have : Nonempty T := inferInstance
trivial
|
a9103866979df9c06ace1c2be824103a129838b6 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Data/Json.lean | eb94436dbc01d84249ef1af0095fd34ef710edcd | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 286 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Marc Huisinga
-/
prelude
import Init.Lean.Data.Json.Printer
import Init.Lean.Data.Json.Parser
import Init.Lean.Data.Json.FromToJson
|
5084b2d691ca00b8b482232f9ee0a59bf3d7a793 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /test/finish4.lean | 292c38c4e610414038282ef53b6fd643afc73ba3 | [
"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 | 1,538 | lean | /-
Copyright (c) 2019 Jesse Michael Han. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Jesse Michael Han
Tests for `finish using [...]`
-/
import tactic.finish
import algebra.order.ring
section list_rev
open list
variable {α : Type*}
def append1 (a : α) : list α... |
d82abf9c07e6a85355e41e56d02ce6c58eebda72 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/computability/partrec_code.lean | 55da8f2d6c69c75131dd55d0c849f8cdb87b4cc6 | [
"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 | 38,845 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Godel numbering for partial recursive functions.
-/
import computability.partrec
open encodable denumerable
namespace nat.partrec
open nat (mkpair)
theorem rfind' {f... |
a1197da73bce64973b5632dc0e164695359eb0c0 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/notation.lean | 97e3b56d5b96c8c9dd52fdcdb27613057920e057 | [
"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 | 382 | lean | --
open num
constant b : num
check b + b + b
check true ∧ false ∧ true
check (true ∧ false) ∧ true
check (2:num) + (2 + 2)
check (2 + 2) + (2:num)
check (1:num) = (2 + 3)*2
check (2:num) + 3 * 2 = 3 * 2 + 2
check (true ∨ false) = (true ∨ false) ∧ true
check true ∧ (false ∨ true)
constant A : Type
constant a : A
notatio... |
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