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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ee0ce197de189285ea68e9bfd7cb6f5d88eb18c1 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/group_action_hom.lean | f860a282c42c9004e828e32ed54333a2b6396f4b | [
"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 | 11,530 | 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.group_ring_action
import group_theory.group_action
/-!
# Equivariant homomorphisms
## Main definitions
* `mul_action_hom M X Y`, the type of equivariant funct... |
bb2d1e83c5b257d659e5019dfc00314bdc8a081f | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/category/monad.lean | 077194e43b602e8169c879767d1467aa37a3cd84 | [
"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 | 4,088 | lean | /-
Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Luke Nelson, Jared Roesch, Sebastian Ullrich
-/
prelude
import init.category.applicative
universes u v
open function
class has_bind (m : Type u → Type v) ... |
064846d17632ea05815a2e75628c9f088a27279e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/triangulated/triangulated.lean | 67892425d0ee2ad84da608ef7f3021e1f3f96a87 | [
"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 | 4,871 | 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 category_theory.triangulated.pretriangulated
/-!
# Triangulated Categories
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspondi... |
e9010b876383b4bdf9507086860f72a51fa682d8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/nat/factorial.lean | d5a30bf6b8b9d14001906fcdbc6d899cdd000ebe | [
"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 | 14,437 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes, Floris van Doorn, Yaël Dillies
-/
import data.nat.basic
import data.nat.pow
/-!
# Factorial and variants
This file defines the factorial, along with the... |
853ebef4bdf393f1122b5d05d4d948b32f90f051 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebraic_geometry/locally_ringed_space/has_colimits.lean | 34efd4dff615475e862b99c538f12e6889e973da | [
"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 | 12,962 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.locally_ringed_space
import algebra.category.Ring.constructions
import algebraic_geometry.open_immersion
import category_theory.limits.constructio... |
5dc0e09c5bd1f26c0ac0045aa4bb8d35456db4ea | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category/traversable/lemmas.lean | a7f9308a1498007b835b1349b3308f25fe4f637b | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 3,675 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Lemmas about traversing collections.
Inspired by:
The Essence of the Iterator Pattern
Jeremy Gibbons and Bruno César dos Santos Oliveira
In Journal of Functional... |
d326d6cd9d00ffa3a94e2968e8bd31bdb512158e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/computability/primrec.lean | 88ce3be80060df7dc760e89bea2783030d2b58c4 | [] | 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 | 38,870 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.list
import Mathlib.logic.function.iterate
import Mathlib.PostPort
universes u_1... |
30d5809cc1e918980a27ae410a83957773f747db | 367134ba5a65885e863bdc4507601606690974c1 | /src/computability/partrec.lean | c77b9c03a9c1909bc9bd3f442eaa9f123730e163 | [
"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 | 28,909 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import computability.primrec
import data.nat.psub
import data.pfun
/-!
# The partial recursive functions
The partial recursive functions are defined similarly to the... |
29208a7b7665454015e324aba8879f5e95dae132 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/matrix/pequiv.lean | 5e012b003397bfef5b29df99e274340e0753dd05 | [
"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 | 5,315 | 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 data.pequiv
/-
# partial equivalences for matrices
Using partial equivalences to represent matrices.
This file introduces the function `pequiv.t... |
4f4d943d0a6c1d2e8b3e01b30cf0d519c6903704 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Declaration.lean | 6c85611d54a874227f3823f1b2923c04ac54e2f7 | [
"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 | 17,252 | 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
-/
import Lean.Expr
namespace Lean
/--
Reducibility hints are used in the convertibility checker.
When trying to solve a constraint such a
(f ...)... |
8eadc351fac6907d9d577ece8087ace0c0402afd | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/rbtree/main.lean | 25f36cea1863df0766e1ea4d4fa27ba24ac29e29 | [
"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 | 8,383 | 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
-/
import data.rbtree.find
import data.rbtree.insert
import data.rbtree.min_max
universes u
namespace rbnode
variables {α : Type u} {lt : α → α → Prop}
lemm... |
e172a2245a5d221160a7dd4fbd209ffa09a7be79 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/module/submodule_pointwise.lean | b42fc22198edb105358b7f3160128706ec5ddfae | [
"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 | 3,739 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.subgroup.pointwise
import linear_algebra.basic
/-! # Pointwise instances on `submodule`s
This file provides the actions
* `submodule.pointwise_distri... |
767743f7aa2009d5195501dafe9df0f276099d0b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/combinatorics/set_family/compression/uv.lean | efbf6d150d0c146a5430fad3461695fe63703eee | [
"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 | 8,816 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import data.finset.card
/-!
# UV-compressions
This file defines UV-compression. It is an operation on a set family that reduces its shadow.
UV-compressin... |
f8f07421f9e45b01fdfee63346d08da37b142a54 | 7da5ceac20aaab989eeb795a4be9639982e7b35a | /src/algebraic_geometry/affine_variety.lean | 95d23ecbd683d5b7acf7d66a4ee3966d790109b3 | [
"MIT"
] | permissive | formalabstracts/formalabstracts | 46c2f1b3a172e62ca6ffeb46fbbdf1705718af49 | b0173da1af45421239d44492eeecd54bf65ee0f6 | refs/heads/master | 1,606,896,370,374 | 1,572,988,776,000 | 1,572,988,776,000 | 96,763,004 | 165 | 28 | null | 1,555,709,319,000 | 1,499,680,948,000 | Lean | UTF-8 | Lean | false | false | 20,846 | lean | /- In this file we define affine varieties and affine groups over a discrete field `K`.
We take a shortcut in the definition, by defining affine varieties as the opposite
category of finitely generated reduced algebras. We define affine groups and basic
group theory for affine groups: closed subgroups, kernels, n... |
82c904493dced9f2c62da7ba88c76a1ed682edcb | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/set/function.lean | b88e3aaada1315ab77dd104e4830db4ceba58829 | [
"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 | 49,070 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu, Yury Kudryashov
-/
import data.set.prod
import logic.function.conjugate
/-!
# Functions over sets
## Main definitions
### Pr... |
3d382aa9c7ef931132861f3eeee88044231eeddd | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/simp25.lean | be95735f0ae83a6ed0cf9ff3e83b526989a468c6 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 354 | lean | rewrite_set simple
add_rewrite eq_id imp_truel imp_truer Nat::add_zeror : simple
(* add_congr_theorem("simple", "and_congrr") *)
variables a b : Nat
variables f : (Nat → Nat → Bool) → Bool
(*
local t = parse_lean('λ x, x = 1 ∧ f (λ y z, y + z > x)')
local t2, pr = simplify(t, "simple")
print(t2)
print(pr)
get_environm... |
1d32cad358f9e6fc03148f0100348a2129386909 | 21ee31472b6ad765d2d9f8f655301d8b6ad921c2 | /math/leanprover/two.lean | c59fca49df28c7665e67ddc8c8f54026c06c5957 | [] | no_license | anandijain/learning | 2229472c40ca651a20cff9c52dabc3e6c3a8aeca | 14c98cb0b89805c74e9e8d1afba7945d69ec4b67 | refs/heads/master | 1,594,406,566,371 | 1,586,458,652,000 | 1,586,458,652,000 | 204,337,259 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8 | lean | theorem |
21ae9668512cb063845796985f41009fab2575ea | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/analysis/normed_space/multilinear.lean | 3f9a76444f180808622b3c2e8a2e13160a5160c7 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,182 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
9f9fd6ce917923aa2ea9a153c88a76de04cd674b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/is_alg_closed/classification.lean | f1efca9ea7eec069a1eebff2de372efb992cb04f | [
"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 | 8,455 | lean | /-
Copyright (c) 2022 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import ring_theory.algebraic_independent
import field_theory.is_alg_closed.basic
import data.polynomial.cardinal
import data.mv_polynomial.cardinal
import data.zmod.algeb... |
fcda3b1dc07e30a51ef89f5c887474550fae5e18 | 159d60de9b76d6925aabe9aa8851dab739f7ad5e | /mathematica_parser.lean | f8f2e52ce0c73172f1553bcaa23f4e552e451e2f | [] | no_license | minchaowu/mathematica | af6dfc779cd31a0e68e065ffb6e3570c23ccfbbe | f05940fc4de8ea371fab36d0db0aaa73f7e75be5 | refs/heads/master | 1,609,628,681,490 | 1,504,720,495,000 | 1,504,720,495,000 | 99,462,100 | 0 | 0 | null | 1,504,720,496,000 | 1,501,990,362,000 | Lean | UTF-8 | Lean | false | false | 5,888 | lean | import data.buffer.parser system.io
open parser
--namespace mathematica
meta def htfi : has_to_format ℤ := ⟨λ z, int.rec_on z (λ k, ↑k) (λ k, "-"++↑(k+1))⟩
local attribute [instance] htfi
structure float :=
(sign : nat)
(mantisa : nat)
(exponent : nat)
meta instance : has_to_format float :=
⟨λ f,... |
1c2bcc19b73f82e02135bdffee478ac9a59123d7 | 3c693e12637d1cf47effc09ab5e21700d1278e73 | /src/int/defs.lean | 065f1db425a0b95717f814eb923a9397e8a7ce3b | [] | no_license | ImperialCollegeLondon/Example-Lean-Projects | e731664ae046980921a69ccfeb2286674080c5bb | 87b27ba616eaf03f3642000829a481a1932dd08e | refs/heads/master | 1,685,399,670,721 | 1,623,092,696,000 | 1,623,092,696,000 | 275,571,570 | 19 | 1 | null | 1,593,361,524,000 | 1,593,344,124,000 | Lean | UTF-8 | Lean | false | false | 12,008 | lean | -- make all the tactics work
import tactic
--import algebra.pi_instances -- you'll get the wrong 1 on ℕ² if you do this
-- Let's just use Lean's definition of the naturals and not worry
-- about what they are or how to make them.
import data.nat.basic
-- later on we'll do isomorphisms of rings
-- ≃+*
import data.equ... |
c83c50dc35c76f8220b7991a1aa2c9d54be05b77 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /07_Induction_and_Recursion.org.11.lean | 7e48c7bbfefc154a99883813c9c009c0ff5dc17c | [] | 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 | 449 | lean | /- page 104 -/
import standard
import data.examples.vector
open nat vector
-- BEGIN
definition tail_aux {A : Type} {n m : nat} (v : vector A m) :
m = succ n → vector A n :=
vector.cases_on v
(assume H : 0 = succ n, nat.no_confusion H)
(take m (a : A) w : vector A m,
assume H : succ m = succ n,
have H1 : m = n, from s... |
7729a4eccc1eae719f90e8699c830fa94924b9b9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/meta_tac6.lean | ccfeef82deab708e3ec6ccb31e783e8c7e60e54e | [
"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 | 718 | lean | open tactic name list
set_option pp.goal.compact true
set_option pp.binder_types true
example : ∀ (A B : Prop), A → A ∧ B → A → A :=
by do
intro_lst [`_, `_, `H1, `H2, `H3],
n : nat ← num_goals,
ctx : list expr ← local_context,
trace "Context: ",
for_each ctx (λ e,
do t ← infer_type e,
... |
bdb477b6358f2064b839b38318572fe5e73958d9 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Data/Options.lean | f0538671eb6edb1e2c4c5c4f37c5fa7e4fa4e728 | [
"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 | 3,444 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich and Leonardo de Moura
-/
prelude
import Init.System.IO
import Init.Data.Array
import Init.Data.ToString
import Init.Lean.Data.KVMap
namespace Lean
def Option... |
e0a65f1cc963d9589a8b16e622fd0ec1ffff88d7 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Syntax.lean | 8906a27ac8d5739856de262e6889f5b243d47dbf | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,379 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
-/
import Lean.Data.Name
import Lean.Data.Format
namespace Lean
namespace SourceInfo
def updateTrailing (info : SourceInfo) (trailing : Opt... |
e90c805e534408cb0b1a0512aa0ce658241decb4 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/metric_space/contracting.lean | ddd2def694ce6583a74c4620df53e470282e34cf | [
"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 | 15,554 | lean | /-
Copyright (c) 2019 Rohan Mitta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rohan Mitta, Kevin Buzzard, Alistair Tucker, Johannes Hölzl, Yury Kudryashov
-/
import topology.metric_space.lipschitz analysis.specific_limits data.setoid
/-!
# Contracting maps
A Lip... |
131f621926b59a8685353bfd5025bf664d94e817 | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /library/data/vector.lean | a0e9ab7d11432a653dcd9aa972228e6b5c59c0b9 | [
"Apache-2.0"
] | permissive | guiquanz/lean | b8a878ea24f237b84b0e6f6be2f300e8bf028229 | 242f8ba0486860e53e257c443e965a82ee342db3 | refs/heads/master | 1,526,680,092,098 | 1,427,492,833,000 | 1,427,493,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,340 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.vector
Author: Floris van Doorn, Leonardo de Moura
-/
import data.nat data.list data.fin
open nat prod fin
inductive vector (A : Type) : nat → Type :=
| nil {} : vector A zero
... |
1211a37fab45452ff90eca9ef26dabe221772fe0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/set_theory/cofinality.lean | b88a4ac09c1df140179717c3d408b2edc88f75dc | [] | 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 | 10,366 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.set_theory.cardinal_ordinal
import Mathlib.PostPort
universes u_1 u v u_2
namespace Mathl... |
5521aaaf765bd2c62616bde92d8dcc2ed1fa7d6a | 952248371e69ccae722eb20bfe6815d8641554a8 | /test/additive.lean | b590b29e110845d9f01d933ca2f075e686582cd8 | [] | no_license | robertylewis/lean_polya | 5fd079031bf7114449d58d68ccd8c3bed9bcbc97 | 1da14d60a55ad6cd8af8017b1b64990fccb66ab7 | refs/heads/master | 1,647,212,226,179 | 1,558,108,354,000 | 1,558,108,354,000 | 89,933,264 | 1 | 2 | null | 1,560,964,118,000 | 1,493,650,551,000 | Lean | UTF-8 | Lean | false | false | 1,359 | lean | import interactive
variables x y z : ℚ
example (e1 : x < 1*y) (e2 : z < 1*y) (e3 : x + z > 3*y) (e4 : x + z >0) : false :=
by polya e1 e2 e3 e4
/-exps ← monad.mapm get_local [`e1, `e2, `e3, `e4],
bb ← add_proofs_to_blackboard blackboard.mk_empty exps,
bb.trace_exprs,
(_, bb) ← return $ add_new_ineqs bb,
bb... |
e47fbba116b0412efe740f65c98f81b1a6e20cae | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/class5.lean | 97a36f3242b176d07af5ab74164cda751be5a8a8 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,325 | lean | import standard
namespace algebra
inductive mul_struct (A : Type) : Type :=
| mk_mul_struct : (A → A → A) → mul_struct A
definition mul [inline] {A : Type} {s : mul_struct A} (a b : A)
:= mul_struct_rec (λ f, f) s a b
infixl `*`:75 := mul
end
namespace nat
inductive nat : Type :=
| zero : nat
| succ... |
fc0b58c1ed5b4ecb6de221516770a114d9d70762 | c9e78e68dc955b2325401aec3a6d3240cd8b83f4 | /src/evidence.lean | e3e83197880e519f61d20d3dbf92bc50187532ba | [] | no_license | loganrjmurphy/lean-strategies | 4b8dd54771bb421c929a8bcb93a528ce6c1a70f1 | 832ea28077701b977b4fc59ed9a8ce6911654e59 | refs/heads/master | 1,682,732,168,860 | 1,621,444,295,000 | 1,621,444,295,000 | 278,458,841 | 3 | 0 | null | 1,613,755,728,000 | 1,594,324,763,000 | Lean | UTF-8 | Lean | false | false | 967 | lean | import justification pump1 common_meta property_catalogue.LTL
open S A
@[reducible] def pump1_input_1 : property.input (path pump1) := {property.input .
Clm := {Claim .
X := {x : path pump1 | true},
P := λ (p : path pump1), p⊨absent.after_until ↑BolusRequest ↑Cond_6_3_ ↑Infusion_NormalOperation},... |
17e75e849dc9746969fb8187c6632c763cba173a | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/linear_algebra/char_poly/coeff.lean | 71cfebb79dcf87c09de1a17b8f85c243be2f27ae | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 8,969 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson, Jalex Stark.
-/
import data.matrix.char_p
import linear_algebra.char_poly
import linear_algebra.matrix
import ring_theory.polynomial.basic
import algebra.p... |
f3cecb818aeaf5e61a9af453f61bece70aaa8ff3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/InlineAttrs.lean | 79a84bf694b306fe109cac5cadea8d265392de18 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 4,326 | 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.Attributes
namespace Lean.Compiler
inductive InlineAttributeKind where
| inline | noinline | macroInline | inlineIfReduce | alwaysInline
... |
2c1e3cbad89d83e79310f671bf449d321fd3a668 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/complex/arg.lean | 919daf70a0dcb665a9c2ac1b2be8fc4ec63dbe7d | [
"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 | 1,681 | lean | /-
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import analysis.inner_product_space.basic
import analysis.special_functions.complex.arg
/-!
# Rays in the complex numbers
This file links the definition `same_ray ... |
17d6fb091648e352d81ff24a1e8326682b35ffe0 | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/for_mathlib/geom_sum.lean | 9d95cb1b069295690497754a514db847cdb660f6 | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 2,381 | lean | import .list
import algebra.geom_sum
import analysis.specific_limits
lemma geom_sum_of_sum_of_range_map {α} [semiring α] (x: α) (n: ℕ):
list.sum (list.map (pow x) (list.range n)) = geom_sum x n :=
begin
induction n with d hd,
{ simp only [list.sum_nil, geom_sum_zero, list.range_zero, list.map] },
{ simp [geom_... |
5a9fe9de12574b6f68e4475f08476ae9bee0936e | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.28.lean | 873793a8a223b9a9f2170774c8b82841e8624026 | [] | 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 | 1,204 | lean | import standard
import data.nat
open nat decidable
definition ball (n : nat) (P : nat → Prop) : Prop :=
∀ x, x < n → P x
-- BEGIN
-- ∀ x : nat, x < 0 → P x
definition ball_zero (P : nat → Prop) : ball zero P :=
λ x Hlt, absurd Hlt !not_lt_zero
variables {n : nat} {P : nat → Prop}
-- (∀ x : nat, x < succ n → P x) im... |
720ccbdef72fd36da2a080bde4705eeecd0e506a | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/nat/parity.lean | 1c2a1d17eb2ace69ae158677f5c42dcd2d2cd241 | [
"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 | 10,068 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Parity.
-/
import data.nat.power logic.identities
namespace nat
open decidable
definition even (n : nat) := n % 2 = 0
definition decidable_even [instance] ... |
717dafd2f0c8c962247aa4568f1f267917deed54 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/sheaves/stalks.lean | 04671c38927f1b511c7a4ba94e754f9329baf6d0 | [
"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 | 17,569 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import topology.category.Top.open_nhds
import topology.sheaves.presheaf
import topology.sheaves.sheaf_condition.unique_gluing
import category_theory.... |
22549a96e8e3551ee2d8f38d5b4fc1f4d123f4d1 | c8d830ce6c7de4840cf0c892d8b58e7e8df97e37 | /src/LTS/defs.lean | b4d3289c3d2cca5351b964a29a3ce49b757fb8f1 | [] | no_license | loganrjmurphy/lean-strategies | 4b8dd54771bb421c929a8bcb93a528ce6c1a70f1 | 020e2a65dc2ab475696dfea5ad8935a0a4085918 | refs/heads/main | 1,682,732,168,860 | 1,614,820,630,000 | 1,614,820,630,000 | 278,458,841 | 3 | 0 | null | 1,613,755,728,000 | 1,594,324,763,000 | Lean | UTF-8 | Lean | false | false | 3,924 | lean | import data.set data.stream.basic
open stream
structure LTS:= (S : Type) (Act : Type)(TR : set (S × Act × S))
--structure LTS:= (S : Type) (A : Type) (Δ : set (S × Act × S))
structure path (M : LTS) :=
(init : M.S)
(s : stream (M.Act × M.S))
(sound : ((init, (s 0).1, (s 0).2) ∈ M.TR) ∧
∀ i : ℕ, ((s i).2,... |
6f0f6e62b98dcf521a595b6cfccc9250468c809d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/emptyc.lean | 2b5070c624cca0614e3a98981b8cb61992b4acf8 | [
"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 | 214 | lean |
structure A :=
(x : Nat := 0)
def foo : A :=
{}
theorem ex1 : foo = { x := 0 } :=
rfl
theorem ex2 : foo.x = 0 :=
rfl
instance : EmptyCollection A :=
⟨{ x := 10 }⟩
def boo : A :=
{} -- this is ambiguous
|
62388e179a09c5479dee22a58ed690f48545cb89 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/unfoldReduceMatch.lean | 2af4a5c273004af8f6635b1088e7a7eb269b3d5f | [
"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 | 95 | lean | open Nat
example : Nat.add zero (succ n) = succ n := by
unfold Nat.add
trace_state
sorry
|
75591aa50deb3a6ccb17224a3e366de1133551f4 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/cairo_secp/verification/verification/signature_recover_public_key_bigint_mul_soundness.lean | fc9527b27d32dd00ef43b12b7f5abb45bf5102ec | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 2,334 | lean | /-
File: signature_recover_public_key_bigint_mul_soundness.lean
Autogenerated file.
-/
import starkware.cairo.lean.semantics.soundness.hoare
import .signature_recover_public_key_code
import ..signature_recover_public_key_spec
open tactic
open starkware.cairo.common.cairo_secp.bigint
variables {F : Type} [field F] [d... |
ce2ad0e824a77adc5001b72e6f03d88b7b1c8bb4 | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/rebind_bind.lean | f41756b239c8efd0a071188bdd4563115c21205f | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 292 | lean | class mono_monad (m : Type) (α : out_param Type) :=
(pure : α → m)
(bind : m → (α → m) → m)
export mono_monad (bind pure)
instance : mono_monad bool bool :=
{ pure := id, bind := λ b f, if b then f b else b }
#eval do b ← tt,
b' ← ff,
mono_monad.pure _ b
|
5b7ad25a13eb32c924bc2f21e25b7acff24333e1 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/calculus/conformal.lean | 3909d73a430266161f136b0b7870723ceaf2b397 | [
"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 | 6,510 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import analysis.normed_space.conformal_linear_map
/-!
# Conformal Maps
A continuous linear map between real normed spaces `X` and `Y` is `conformal_at` some point `x`
i... |
bc4708b38d77ec0f926ca043c3a81a57c9abaa86 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/jacobson.lean | 2849d84937c9f3d7db6e899cf574830670e097c8 | [
"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 | 34,406 | lean | /-
Copyright (c) 2020 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import ring_theory.localization.away
import ring_theory.ideal.over
import ring_theory.jacobson_ideal
/-!
# Jacobson Rings
The following conditions are equivalent for a ring ... |
e8c7b870dc217ed2ee6e03f1aaf5f7cb5b06c442 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/computability/language.lean | 62f301112b85d1052131f268ff479197ab95ea4f | [
"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 | 7,831 | 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 data.list.join
import data.set.lattice
/-!
# Languages
This file contains the definition and operations on formal languages over an alphabet. Note strings
are impl... |
a471b71ed940e81b66da2b530c12f3758b56c9be | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /test/slim_check.lean | f8d94878e1268e121467828a1a7a7189e4b6d44d | [
"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 | 1,452 | lean |
import tactic.slim_check
example : true :=
begin
have : ∀ i j : ℕ, i < j → j < i,
success_if_fail_with_msg
{ slim_check { random_seed := some 257 } }
"
===================
Found problems!
i := 0
j := 1
-------------------
",
admit,
trivial
end
example : true :=
begin
have : (∀ x : ℕ, 2 ∣ x → x < 100),... |
16f82bcf070df16132474208af59300c56fcd3a8 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/complex/basic.lean | b096ec98f6e83bb7f603b84a78ba9af6b0c0dbe4 | [
"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 | 30,920 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
-/
import data.real.sqrt
/-!
# The complex numbers
The complex numbers are modelled as ℝ^2 in the obvious way and it is shown that they form a field
of c... |
a7dcbcabfaaacb42711b05dbf720bc0ff28282e3 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/DefEqAssignBug.lean | 46cf4deb5c8885f1ac3bc8963f73ae34e62bade7 | [
"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 | 712 | lean | import Init.Lean.Meta
open Lean
open Lean.Meta
def mkArrow (d b : Expr) : Expr := mkForall `_ BinderInfo.default d b
def check (x : MetaM Bool) : MetaM Unit :=
unlessM x $ throw $ Exception.other "check failed"
def tst1 : MetaM Unit := do
let nat := mkConst `Nat;
m1 ← mkFreshExprMVar nat;
m2 ← mkFreshExprMVar (mkArr... |
72fbfc596582eed6e4f7765f5abe87118a52cde1 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_653.lean | d6ceba1a62365cfaceef5b6eb48d96ba9d740b3b | [] | 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 | 274 | lean | import data.real.basic
-- BEGIN
def fn_ub (f : ℝ → ℝ) (a : ℝ) : Prop := ∀ x, f x ≤ a
def fn_lb (f : ℝ → ℝ) (a : ℝ) : Prop := ∀ x, a ≤ f x
def fn_has_ub (f : ℝ → ℝ) := ∃ a, fn_ub f a
def fn_has_lb (f : ℝ → ℝ) := ∃ a, fn_lb f a
-- END |
29bd935d4f7b01d50e2c173cb1667520d330c4c5 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/linear_algebra/matrix.lean | 886cf1ff074480038ec97d9259d3a9ca70adceb4 | [
"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 | 5,393 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finit support `α →₀ β` and multivariate polynomials.
-/
import data.matrix
import linear_algebra.dimension linear_algebra.tensor_produ... |
c9dbe1eef5c9a3c65062857e251c55ec3b8fab67 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/topology/continuous_on.lean | 10d9522112572547390a7ae419a6131da80ddcb0 | [
"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 | 26,806 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
`nhds_within` of `nhds`
`contin... |
995d2c6b315a8f12b43ecd12c76c2a845b9f80fa | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/differential_object.lean | dff16caadb1f4d930aeb946e2197b6558de9d44c | [
"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 | 10,261 | 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.shift
import category_theory.concrete_category
/-!
# Differential objects in a category.
A differential object in a category with zero morphi... |
84e157bdcc4fba7b60476dbe30eccc69c32b043a | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/pushFilterPastAggThree.lean | a70a790084a4093374023028e87ddf24e5334e45 | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 2,090 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
variable integer_1: const datatypes.int
theorem rule:
forall ( Γ scm_t scm_account scm_bonus scm_dept sc... |
96b145c65d0aa811d4e41de5c7d61162b459e2a6 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Lean/Elab/Quotation.lean | 5678806277527a06d1d592f35b53e0c3da35a75b | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,362 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Elaboration of syntax quotations as terms and patterns (in `match_syntax`). See also `./Hygiene.lean` for the basic
hygiene workings and data types.
-/
import... |
4d39debdd375292abe923961b12318e8bec179b2 | aa101d73b1a3173c7ec56de02b96baa8ca64c42e | /src/solutions/05_sequence_limits.lean | a2845a0be8cda9f64b030a6fa69081a45c84a02c | [
"Apache-2.0"
] | permissive | gihanmarasingha/tutorials | b554d4d53866c493c4341dc13e914b01444e95a6 | 56617114ef0f9f7b808476faffd11e22e4380918 | refs/heads/master | 1,671,141,758,153 | 1,599,173,318,000 | 1,599,173,318,000 | 282,405,870 | 0 | 0 | Apache-2.0 | 1,595,666,751,000 | 1,595,666,750,000 | null | UTF-8 | Lean | false | false | 7,626 | lean | import data.real.basic
import algebra.pi_instances
import tuto_lib
notation `|`x`|` := abs x
/-
In this file we manipulate the elementary definition of limits of
sequences of real numbers.
mathlib has a much more general definition of limits, but here
we want to practice using the logical operators and relations
cov... |
77f9582a3fb6c9425791411484a18d3510a14ff5 | 93b17e1ec33b7fd9fb0d8f958cdc9f2214b131a2 | /src/sep/monalg.lean | 56ca6bdc76deeb197cdb4dcb2e03ce1b57013d84 | [] | no_license | intoverflow/timesink | 93f8535cd504bc128ba1b57ce1eda4efc74e5136 | c25be4a2edb866ad0a9a87ee79e209afad6ab303 | refs/heads/master | 1,620,033,920,087 | 1,524,995,105,000 | 1,524,995,105,000 | 120,576,102 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,265 | lean | /- Monomial algebras
-
-/
import .basic
import .option
import .prod
import .rel
import .primeSpec
import ..extralib
namespace Sep
universes ℓ ℓ₁ ℓ₂
namespace MonAlg
structure Mon (A : Type.{ℓ})
: Type.{ℓ}
:= (supp : list A)
(e : {a // a ∈ supp} → ℤ)
def Mon.subtype {A : Type.{ℓ}} {P₁ P₂ : set A}
(m : M... |
1d68109afd7f41f6429dbff669e360706167fde6 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/coe13.lean | 90a559081aa1652e9c298e52b232d90a678c08bf | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 594 | lean | import data.nat
open nat
inductive functor (A B : Type) :=
mk : (A → B) → functor A B
definition functor.to_fun [coercion] {A B : Type} (f : functor A B) : A → B :=
functor.rec (λ f, f) f
inductive struct :=
mk : Π (A : Type), (A → A → Prop) → struct
definition struct.to_sort [coercion] (s : struct) : Type :=
struc... |
b097a1041971e3fd0d215975c121378b1b70f0f0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/locally_convex/bounded.lean | d44d4d45c5eb30bb9632213e0b28dc1ea0399456 | [
"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 | 13,242 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import analysis.locally_convex.basic
import analysis.locally_convex.balanced_core_hull
import analysis.seminorm
import topology.bornology.basic
import topology.algebra.unif... |
548b20951208cbe4d05355f6df92aa3801d9611c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/def_brec1.lean | 578f3ad05b70637860450fb7284d4d9da714cbd7 | [
"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 | 415 | lean | inductive foo : bool → Type
| Z : foo ff
| O : foo ff → foo tt
| E : foo tt → foo ff
open foo
definition to_nat : ∀ {b}, foo b → nat
| .(ff) Z := 0
| .(tt) (O n) := to_nat n + 1
| .(ff) (E n) := to_nat n + 1
example : to_nat (E (O Z)) = 2 :=
rfl
example : to_nat Z = 0 :=
rfl
example (a : foo ff) : to_nat (O... |
86c1954a85e84f55b011115b40215a2167c616f7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/IRbug.lean | bc49bb79aec09109d197fcf0be7a5a6be6b1dd3d | [
"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 | 688 | lean |
namespace Repro
def FooM (α : Type) : Type := Unit → α
def FooM.run {α : Type} (ψ : FooM α) (x : Unit) : α := ψ x
def bind {α β : Type} : ∀ (ψ₁ : FooM α) (ψ₂ : α → FooM β), FooM β
| ψ₁, ψ₂ => λ _ => ψ₂ (ψ₁.run ()) ()
instance : Pure FooM := ⟨λ x => λ _ => x⟩
instance : Bind FooM := ⟨@bind⟩
instance : Monad FooM :=... |
0f44f17e5cf3bb1b1efefaf1c9f2b9bdea372db2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/instances/real.lean | 3f4abaaabaa40331c37c52ff8aa3fb3cea168e78 | [] | 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 | 8,963 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.metric_space.basic
import Mathlib.topology.algebra.uniform_group
i... |
049958e074230ee53c577e74a00f742b7dfdb0a9 | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/missing_mathlib/algebra/module.lean | 0783104a0cd5e70f300985d3e3e309b1aec80e90 | [] | no_license | skbaek/cvx | e32822ad5943541539966a37dee162b0a5495f55 | c50c790c9116f9fac8dfe742903a62bdd7292c15 | refs/heads/master | 1,623,803,010,339 | 1,618,058,958,000 | 1,618,058,958,000 | 176,293,135 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 217 | lean | import algebra.module
lemma linear_map.to_fun_eq_coe_fn {α β γ : Type*} [ring α] [add_comm_group β] [add_comm_group γ] [module α β] [module α γ]
(f : β →ₗ[α] γ): linear_map.to_fun f = ⇑f := rfl |
3accc16719a170476488d7e89960a09d33a89428 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Util/Import.lean | 8aec97fb960ed129f32e74f0b30e9fdf70f4b176 | [
"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 | 353 | 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
open Lean
@[implemented_by withImportModules]
opaque withImportModulesConst (imports : List Import) (opts : Options) (trustLevel : UInt32 := 0) (x ... |
2d2cbb18c234bec6611b5039ae95b075a41f12f7 | a07fc1a5c10c8dc40360ecb554c3aed54740f945 | /src/mwe.lean | 00a2f8224d8a87719f4704695923f1c129b1be04 | [] | no_license | mkummini/ideal-membership | 2a39b4b07d61f2177d7e584a53b5b2279097b150 | 59f823e657939e386d0e53a5d9be47392bab3e41 | refs/heads/master | 1,690,298,605,933 | 1,629,856,697,000 | 1,629,856,697,000 | 384,842,535 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 426 | lean | import data.mv_polynomial.basic
import data.mv_polynomial.comm_ring
import data.zmod.basic
open mv_polynomial
abbreviation R := mv_polynomial (fin 2) (zmod 2)
example :
let f : R := (X 0)^2 + (X 1)^2,
f1 : R := X 0,
f2 : R := X 1
in
f = (X 0) * f1 + (X 1) * f2 :=
begin
ring_exp,
-- I fi... |
4bfdff47df8f634a6031dedcf71aca21952a6a36 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/dfinsupp/interval.lean | f589ac9929f4a556cff218ef971e2a4a1ca2e6b6 | [
"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 | 5,865 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.finset.locally_finite
import data.finset.pointwise
import data.fintype.card
import data.dfinsupp.order
/-!
# Finite intervals of finitely supported functions... |
e798c115c53155daf9d2768bd5fa01e66089080a | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/cc25.lean | 2244f247462744d7ce19ba4ad786c6cc6beb74b8 | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 527 | lean | /-
Example/test file for the congruence closure procedure described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The tactic `by blast` has been configured in this file to use just
the congruence closure procedure using the command
set_option blast.strategy... |
93a45eecada0a5c481f2437a2212f935ffd0c959 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/omega/default_auto.lean | 7e9bdfa351f25c1bedb5fb490d0f8f106e17120d | [] | 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 | 148 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.omega.main
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
b5600f6dedbcd31752cc9681a3c170d6c01227dc | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Elab/Tactic/Induction.lean | 2ca1c79143bc6bdf5c3f134bc1f77e89efdc0943 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 19,410 | 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.Util.CollectFVars
import Lean.Parser.Term
import Lean.Meta.RecursorInfo
import Lean.Meta.CollectMVars
import Lean.Meta.Tactic... |
d8ac3006766338e5d48d2f4763dd52924761ac05 | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/for_mathlib/uniform_space/group.lean | 9f9e146c1dd7c01cf73280487368a49982ca24dc | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 3,553 | lean | import topology.algebra.group_completion
import for_mathlib.uniform_space.separation
noncomputable theory
local attribute [instance, priority 0] classical.prop_decidable
section uniform_add_group_sep_quot
open uniform_space
variables {α : Type*} [add_group α] [uniform_space α] [uniform_add_group α]
variables {β : T... |
3967cabfe788302f697db40a6a564548272f74db | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/tactic8.lean | 371b99bd1408f00738dfcabc9688f088e0680a2e | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 208 | lean | import standard
using tactic
theorem tst {A B : Prop} (H1 : A) (H2 : B) : A ∧ B ∧ A
:= by (apply @and_intro;
apply (show A, from H1);
apply (show B ∧ A, from and_intro H2 H1))
check @tst |
24ef6254f56af65f3ccfcd23725a25475f4ff13a | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /test/automatic_induction.lean | ad46218fb2907918467d0c700640ded3991b4eab | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 194 | lean | import tidy.automatic_induction
import tidy.pempty
def f (x : pempty) : false := begin automatic_induction, end
def g (x : fin 0) : false := begin automatic_induction, automatic_induction, end |
6267a05dbaa1298a911921baadd56923aa3146cd | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/algebra/with_zero_topology.lean | f93a17272a78f712e11f2ba88fa942f7d8e0ebbf | [
"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 | 12,089 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import algebra.order.with_zero
import topology.algebra.order.basic
/-!
# The topology on linearly ordered commutative groups with zero
Let `Γ₀` be a linearly ordere... |
1166453817ad2b6adb661701f92f9d3b9e241117 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/uf1_new.lean | 78544005dd4cdb38cfc26cfd24110b7f55dbf8a0 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 4,395 | lean | def StateT (m : Type → Type) (σ : Type) (α : Type) := (Unit × σ) → m (α × σ)
namespace StateT
variable {m : Type → Type} [Monad m] {σ : Type} {α β : Type}
@[inline] protected def pure (a : α) : StateT m σ α := λ ⟨_, s⟩, pure (a, s)
@[inline] protected def bind (x : StateT m σ α) (f : α → StateT m σ β) : StateT m σ β :=... |
25ccb08aa7938eefa62482c35dc67f0fb2ffe81c | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/funext.lean | d487d4a4d385c120bb7d685b9af5fddf3c731305 | [
"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 | 2,226 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Extensional equality for functions, and a proof of function extensionality from quotients.
-/
prelude
import init.quot init.logic
namespace function
universe va... |
d53daa9882c7e3bea3f01dc563ff59d2a641221d | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/order/category/omega_complete_partial_order.lean | 28b43a09519cc2a5bdfc20162ae938e09390100b | [
"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 | 3,978 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import order.omega_complete_partial_order
import order.category.Preorder
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
impor... |
fa1cd93561a987653228a1a71524f1ad54bdf4b4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/category/adjoint.lean | 88c7bf067af0be28492bc094fa7477162ddb0ddf | [
"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 | 515 | 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 .constructions
open eq eq.ops category functor natural_transformation category.ops prod category.product
namespace adjoint
-- definition Hom (C : Cate... |
8d4953014a51af03da632ede0faaafa5f977cc5a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/calc_bug.lean | 07bc467725da2dadeb0de3468a48e89762f10d05 | [
"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 | 208 | lean | definition foo (a : Type) :=
calc a = a : rfl
example (eq : ℕ) : 1 = 1 :=
by calc 1 = 1 : rfl
... = 1 : rfl
example (a : Prop) (implies : ℕ) : a → a :=
by calc a → a : id
... → a : id
|
01f1704be5cd110f8e6fb71e0adb5c9cea266c22 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/struct_class.lean | d25ab280d895fc17b137912b21f7df2cc1223811 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 198 | lean | prelude
import init.core
structure [class] point (A : Type*) (B : Type*) :=
mk :: (x : A) (y : B)
#print classes
structure point2 (A : Type*) (B : Type*) :=
mk :: (x : A) (y : B)
#print classes
|
7679099f72a670eb44393f85452b30686b35386c | eecbdfcd97327701a240f05d64290a19a45d198a | /type_classes/diamond.lean | f1fa8a5dddcbc452dcdf5197242b7738d9cc9b2f | [] | no_license | johoelzl/hanoifabs | d5ca27df51f9bccfb0152f03b480e9e1228a4b14 | 4235c6bc5d664897bbf5dde04e2237e4b20c9170 | refs/heads/master | 1,584,514,375,379 | 1,528,258,129,000 | 1,528,258,129,000 | 134,419,383 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,314 | lean | import analysis.real
/-
Type classes:
* metric
* topology
Instances:
* canonical topology: metric → topology
* metric & topology for ℝ: metric ℝ, topology ℝ
* product topology and product metric
Problem:
M(α) × M(β) → M(α × β)
↓ × ↓ ↓
T(α) × T(β) → T(α × β)
... |
ad23f06d7ca23b959e9dec84a2872ba8222493ae | 626e312b5c1cb2d88fca108f5933076012633192 | /src/analysis/normed_space/bounded_linear_maps.lean | da6f89776cf49d1c636763437a886f64122bcff7 | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,055 | 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
-/
import analysis.normed_space.multilinear
/-!
# Continuous linear maps
This file defines a class stating that a map between normed vector spaces is (... |
240f7e2f295dc3622a04d242971c295dc9d662da | 3f1a1d97c03bb24b55a1b9969bb4b3c619491d5a | /tests/lean/run/check_constants.lean | 80dcfbacb38228826bcb069f42c5ab8216081e7f | [
"Apache-2.0"
] | permissive | praveenmunagapati/lean | 00c3b4496cef8e758396005013b9776bb82c4f56 | fc760f57d20e0a486d14bc8a08d89147b60f530c | refs/heads/master | 1,630,692,342,183 | 1,515,626,222,000 | 1,515,626,222,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,189 | lean | -- DO NOT EDIT, automatically generated file, generator scripts/gen_constants_cpp.py
import smt system.io
open tactic
meta def script_check_id (n : name) : tactic unit :=
do env ← get_env, (env^.get n >> return ()) <|> (guard $ env^.is_namespace n) <|> (attribute.get_instances n >> return ()) <|> fail ("identifier '" +... |
f0064a714c3ccbb63501f4a0590a74f877842f19 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/group/basic.lean | 3807b54fe268c0939f8152d7722ff680b7c7e5d0 | [
"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 | 16,239 | 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, Simon Hudon, Mario Carneiro
-/
import algebra.group.defs
import logic.function.basic
/-!
# Basic lemmas about semigroups, monoids, and groups
This f... |
ab060195118f751251cf9d730219c48a75316fa3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/forthelean/ForTheLean/Prelim.lean | 39e843e16e622319995f410f331ead7d4af5a4b6 | [
"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 | 2,824 | lean | import Lean
namespace Lean.Elab.Command
open Lean
-- to get around missing structure notation support
def modifyEnv (f : Environment → Environment) : CommandElabM Unit :=
modify $ fun s => { s with env := f s.env }
end Lean.Elab.Command
namespace Prelim
open Lean
open Lean.Parser
-- for declaring simple parsers I can... |
a8a3982575c33ca1cc31845b26408b5e146f6a8b | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/nat/totient.lean | 3e7d0016c333146669ca04bdc2c81550db8bcb1a | [
"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 | 3,710 | 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 algebra.big_operators.basic
open finset
open_locale big_operators
namespace nat
/-- Euler's totient function. This counts the number of positive integers less t... |
fe1123317544eff458f7727023238ad17507f760 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Assignment6/2.10-homework.lean | a1a5286030c31d53af097ef0b8ae1d82ed72a79e | [] | no_license | enlauren/math-logic | 081e2e737c8afb28dbb337968df95ead47321ba0 | 086b6935543d1841f1db92d0e49add1124054c37 | refs/heads/master | 1,594,506,621,950 | 1,558,634,976,000 | 1,558,634,976,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,586 | lean | -- Assignment 6
-- Dom Farolino, farolidm@mail.uc.edu
-- Math Logic
-- Exercise 1
namespace ex1
def double: ℕ → ℕ := fun (x: ℕ), x + x
def do_twice: (ℕ → ℕ) → ℕ → ℕ := fun (f: ℕ → ℕ) (x: ℕ), f (f x)
def do_thrice (f: ℕ → ℕ) (x: ℕ): ℕ := f (f (f x)) -- From the book.
-- Some checks.
#check do_twice double
... |
b6085e7aa5fa37b97ba73e45219b3872d087da9b | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/measure_theory/measurable_space.lean | 783b3acdd36f2611dbb94917014da05f21ae6c47 | [
"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 | 39,144 | 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
Measurable spaces -- σ-algberas
-/
import data.set.disjointed order.galois_connection data.set.countable
open set lattice encodable
local attribute [ins... |
c4a636f3b2cceff66214e398f9a2b302db7a4f0c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/pigeonhole.lean | 87bea38b4689af3d0fb6b49769d0835fff6616b0 | [
"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 | 23,441 | lean | /-
Copyright (c) 2020 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller, Yury Kudryashov
-/
import data.nat.modeq
import data.set.finite
import algebra.big_operators.order
import algebra.module.basic
import algebra.module.big_operators
/-!
# Pige... |
517260f17b3e4e8d562948c68028138f628b7682 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/Parser/Term.lean | 0c24264dc24dc7ae74676d5265030f277bc7ac69 | [
"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 | 14,150 | 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.Parser.Basic
import Lean.Parser.Level
namespace Lean
namespace Parser
@[init] def regBuiltinTacticParserAttr : IO Unit :=
l... |
bd737600c5cd96c25a4e0c603d3fdf8e5f16c38b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Parser/Syntax.lean | 025a067c3aef4d16252430d0ee5916d8116a7be6 | [
"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 | 5,786 | 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.Parser.Command
namespace Lean
namespace Parser
builtin_initialize
registerBuiltinParserAttribute `builtin_syntax_parser `... |
a6b5043267d205508a3987c88d2b3b0cd553e2eb | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/assoc_flat.lean | d0e292382d659b8bdc0ca90e4c35c381880af7d7 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 2,268 | lean | open tactic expr
meta definition is_op_app (op : expr) (e : expr) : option (expr × expr) :=
match e with
| (app (app fn a1) a2) := if op = fn then some (a1, a2) else none
| e := none
end
meta definition flat_with : expr → expr → expr → expr → tactic (expr × expr)
| op assoc e rhs :=
match (is_op_... |
63c527b3d84248d2b30ffeb8401cc439a153d9cb | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/data/nat/order.lean | e86c1a144e73031f992c5715c7eefb5d7ed2db96 | [
"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 | 19,827 | 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
--------------------------------------------------------... |
c5d3615c001a1e2619b6e447aa17c27478c419f2 | 6e9cd8d58e550c481a3b45806bd34a3514c6b3e0 | /src/data/polynomial.lean | 39fa7eee6e64bf34e154e4b17d55323da69911d8 | [
"Apache-2.0"
] | permissive | sflicht/mathlib | 220fd16e463928110e7b0a50bbed7b731979407f | 1b2048d7195314a7e34e06770948ee00f0ac3545 | refs/heads/master | 1,665,934,056,043 | 1,591,373,803,000 | 1,591,373,803,000 | 269,815,267 | 0 | 0 | Apache-2.0 | 1,591,402,068,000 | 1,591,402,067,000 | null | UTF-8 | Lean | false | false | 108,332 | 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.monoid_algebra
import algebra.gcd_domain
import ring_theory.euclidean_domain
import ring_theory.multiplicity
i... |
ee3c931e0cf9783838a400933760a32a8b4be9b1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/char_p/quotient.lean | 2948d01a84b46a2e37fe018bcb933981e04311f9 | [] | 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 | 913 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Eric Wieser
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.char_p.basic
import Mathlib.algebra.ring_quot
import Mathlib.PostPort
universes... |
3391168cfda1c6958b8307f175f8ac00434399f0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/multiset/antidiagonal.lean | 3a376862c720f836536d998f3f5d11f941bc3994 | [
"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 | 3,727 | 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.multiset.powerset
/-!
# The antidiagonal on a multiset.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR... |
a83228210d91482d4186ad7f834b2615479323de | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/operator_norm.lean | 016744c5072427948e5783638ffae850b8d050ef | [
"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 | 85,829 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import algebra.algebra.tower
import analysis.asymptotics.asymptotics
import analysis.normed_space.linear_isometry
import analysis.no... |
b0fd0f7ab2321c52a79a32cc1bd5223737d5ed13 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/preadditive/injective_resolution.lean | e6e74beb9162a124855e0839029a44e92637e39e | [
"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 | 3,984 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Scott Morrison
-/
import category_theory.preadditive.injective
import algebra.homology.single
/-!
# Injective resolutions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any... |
f3c87ad06c61744a14fe934c689445244b8d3666 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/calculus/local_extr.lean | cc961c61d5faeab63d109b4d4222911344e1151c | [
"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 | 18,119 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.local_extr
import topology.algebra.ordered.extend_from
import analysis.calculus.deriv
import topology.algebra.polynomial
/-!
# Local extrema of smo... |
5dc9024aa626f1f323d33b7b6cefec8b0ca367a7 | 1e3a43e8ba59c6fe1c66775b6e833e721eaf1675 | /src/data/finset.lean | a229f066fab3a3fba4eab7c19ac4a9434cbb67aa | [
"Apache-2.0"
] | permissive | Sterrs/mathlib | ea6910847b8dfd18500486de9ab0ee35704a3f52 | d9327e433804004aa1dc65091bbe0de1e5a08c5e | refs/heads/master | 1,650,769,884,257 | 1,587,808,694,000 | 1,587,808,694,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 121,471 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
Finite sets.
-/
import data.multiset
import tactic.monotonicity
import tactic.apply
open multiset subtype nat
vari... |
43a5ee63f5d294b9617a76a81f95fbe19e53b565 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/topology/continuous_on.lean | 145eff5a4c0b43f9f3efa1b8fc12b97a15db7129 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 24,460 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
`nhds_within` of `nhds`
`contin... |
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