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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
37418ccb3d70af8ff26c57bc3eb116186f2c8b0b | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/apply_tac2.lean | 0681a9c9d28d3fb34b97417ef9a9eac13045c4bc | [
"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 | 91 | lean | (* import("tactic.lua") *)
theorem T (a b : Bool) : a → b → b → a.
exact.
done. |
2398f4aa381e68152fc46884ab97e20f58950ed4 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/probability_mass_function/basic.lean | b772140c53ceaa2b8aa5198eec14efe7432138e4 | [
"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 | 9,270 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Devon Tuma
-/
import topology.instances.ennreal
import measure_theory.measure.measure_space
/-!
# Probability mass functions
This file is about probability mass funct... |
2ad350872cc640467c8059bc9f4cedab63ea3afe | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/pseudo_normed_group/FiltrationPow.lean | ad246fbf4bc2dcf68472def3dc692162369de90a | [] | no_license | mr-infty/lean-liquid | 3ff89d1f66244b434654c59bdbd6b77cb7de0109 | a8db559073d2101173775ccbd85729d3a4f1ed4d | refs/heads/master | 1,678,465,145,334 | 1,614,565,310,000 | 1,614,565,310,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,951 | lean | import pseudo_normed_group.breen_deligne
import normed_group.NormedGroup
open_locale classical nnreal
noncomputable theory
local attribute [instance] type_pow
-- move this
def Profinite.of (X : Type*)
[topological_space X] [t2_space X] [totally_disconnected_space X] [compact_space X] :
Profinite :=
{ to_Top := To... |
255c73efa2913e14f6eeb412ed3c4bdf47d568b7 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/fintype/basic.lean | fae98a610ae9eab7512108f0f517b173123a4665 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 44,490 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset.sort
import data.finset.powerset
import data.finset.pi
import data.array.lemmas
universes u v
variables {α : Type*} {β : Type*} {γ ... |
8a4be5793a777e800dfd247bf02b7f2298ad3e36 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/control/bitraversable/lemmas.lean | b2f76e42b630a818b1432ec34ea8ba39a596364f | [
"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 | 3,434 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import control.bitraversable.basic
/-!
# Bitraversable Lemmas
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4... |
020ecf9712ad382751377f3747979d648afa72e1 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/meta/decl_cmds.lean | 2f086fd7ec2f2e7c530eb16aa054e4f48d881911 | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 1,679 | 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.tactic init.meta.rb_map
open tactic
/- Given a set of constant renamings `replacements` and a declaration name `src_decl_name`, cr... |
b53d8503b6830d98b8d96dbdbda26683ed8975fd | 7da5ceac20aaab989eeb795a4be9639982e7b35a | /src/category_theory/finite_limits.lean | da2ebc24b379b12344663e56ec8ffd77d687ef54 | [
"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 | 9,823 | lean | -- Copyright (c) 2018 Jesse Han. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Jesse Han
import .limits.shapes.products basic data.dvector
.limits.shapes.equalizers
category_theory.limits.limits
universes v u
open category_theory
namespace cate... |
7cd532e744dea0088dcda9d833c005c4e8605c30 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1845.lean | 1293657f94a786a9bc9feb7f0140d81597297a18 | [
"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 | 362 | lean | import Lean.Hygiene
import Lean.Exception
open Lean
def bar : StateT Nat Unhygienic Syntax.Term := do modify (· + 1); `("hi")
def foo : StateT Nat Unhygienic Syntax.Term := do `(throwError $(← bar))
#eval Unhygienic.run (foo.run 0) |>.2
-- don't do this
syntax "←" term : term
def foo' : StateT Nat Unhygienic Syntax... |
3d2e43a06a7315932cc6c7df29e19f825d409ad6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/convex/side.lean | b4f12bc9539d7f33951c065cfe4d044d6cd3fc41 | [
"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 | 39,397 | lean | /-
Copyright (c) 2022 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import analysis.convex.between
import analysis.convex.normed
import analysis.normed.group.add_torsor
/-!
# Sides of affine subspaces
> THIS FILE IS SYNCHRONIZED WITH MA... |
04600ad456c5028ad4a66f84e4c4914efdc0dbb0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/tactic/lint/default.lean | e9af66f3150b78a1e242a7050606c867e26c240a | [
"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 | 5,115 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis, Gabriel Ebner
-/
import algebra.group.to_additive
import tactic.lint.frontend
import tactic.lint.misc
import tactic.lint.simp
import tactic.lint.ty... |
30bbbce55f43056bcd584790fd80f71929d73ded | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/analysis/calculus/mean_value.lean | bdc129e380f8d47ab6efbf0d750fce10969d392e | [
"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 | 53,691 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.local_extr
import analysis.convex.topology
/-!
# The mean value inequality and equalities
In this file we prove the ... |
2ac0127a06309ba2ea6067b48f5c03763540ac9e | 88892181780ff536a81e794003fe058062f06758 | /src/mod.lean | e4797e2f7bbe7a0140c940266bed63486a3c5da3 | [] | no_license | AtnNn/lean-sandbox | fe2c44280444e8bb8146ab8ac391c82b480c0a2e | 8c68afbdc09213173aef1be195da7a9a86060a97 | refs/heads/master | 1,623,004,395,876 | 1,579,969,507,000 | 1,579,969,507,000 | 146,666,368 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,321 | lean | import data.nat.basic
universe u
namespace sandbox
open nat
def mod : nat → nat → nat
| _ 0 := 0
| a (succ b) := if h : a ≥ succ b then
have a - succ b < a := sub_lt_of_pos_le _ _ succ_pos' h,
mod (a - succ b) (succ b)
else a
local infix % := mod
lemma mod_zero {a} : mod a 0 = 0 :=
begin
unfold mod
end
lemma m... |
d863792b8d5c4c00280adcccc51c7fae3c88e2b8 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/synth1.lean | 74477ca9bf1d871df2213ba009b7778dccd3f9df | [
"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 | 1,556 | lean | import Lean.Meta
open Lean
open Lean.Meta
class HasCoerce (a b : Type) :=
(coerce : a → b)
def coerce {a b : Type} [HasCoerce a b] : a → b :=
@HasCoerce.coerce a b _
instance coerceTrans {a b c : Type} [HasCoerce b c] [HasCoerce a b] : HasCoerce a c :=
⟨fun x => coerce (coerce x : b)⟩
instance coerceBoolToProp : H... |
030f885504349c6fe2d78e81deba17c4a285f0b1 | a46d86797f98e604c71128429409acba8288c1f8 | /algebra/lattice/flat.lean | 9f9b430fde4492bc28bfcb39581898577b43393a | [] | no_license | tizmd/lean-abstract-interpretation | 655213d76e84e093910bb6378796cdb4e1ae3565 | ad69622adc082e7009f12b17568662a599779260 | refs/heads/master | 1,610,518,429,734 | 1,498,128,216,000 | 1,498,128,216,000 | 94,891,623 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,490 | lean | import algebra.lattice.dcpo
universe u
open lattice
namespace lattice
inductive flat (α : Type u) : Type u
| bot {} : flat
| top {} : flat
| elem : Π a : α, flat
instance {α : Type u} : has_bot (flat α) := ⟨ flat.bot ⟩
instance {α : Type u} : has_top (flat α) := ⟨ flat.top ⟩
namespace flat
variables {α ... |
b19cec950e00012ac3e4196b2464512c73c477c3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Util/Recognizers.lean | fc074065fca8ee052f0daa5eb09d579dee3fb0d4 | [
"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 | 4,837 | 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.Environment
namespace Lean
namespace Expr
@[inline] def const? (e : Expr) : Option (Name × List Level) :=
match e with
| Expr.const n us =... |
d072ffa5df712e032ccdbccc978e99292f7436e0 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/util/hlist.lean | 21a66fa572b599e26721889e89396e0cdb84e98c | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 1,004 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
namespace categories.util
inductive {u} hlist : list (Type u) → Type (u+1)
| nil : hlist []
| cons : Π {α : Type u} {l : list (Type u)}, α → hlist l → hlist (α:... |
78a82873f25315cc5f71f35942db563f98c64438 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/group_power/basic.lean | 6448fec7ca7dc1e3aaaa1be2749ad1ceaa563eba | [
"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 | 11,978 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.divisibility
import algebra.group.commute
import data.nat.basic
/-!
# Power operations on monoids and groups
The power operation on mo... |
75bf2f844f92511137acdc24389c6ca4c7ec4d51 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/p_group.lean | e7114d7c0122554eb6d605659eaf27dd57580e6f | [
"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 | 14,663 | lean | /-
Copyright (c) 2018 . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import data.zmod.basic
import group_theory.index
import group_theory.group_action.conj_act
import group_theory.group_action.quotient
import group_theory.perm.cycle.... |
b8eab33c09aea486e02430ab9bfade3db9419131 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/padics/padic_integers.lean | 2adc613e6fa8b6a4b3ceca0297fe6783976a39e1 | [
"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 | 19,816 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro, Johan Commelin
-/
import data.int.modeq
import data.zmod.basic
import linear_algebra.adic_completion
import data.padics.padic_numbers
import ring_theo... |
43242b74d5fd2f4e3ec2c8ff78ac1b82897b1086 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/number_field/basic.lean | 537628af9ebf9f043e5fb14a7251e3de62bc7c59 | [
"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 | 7,370 | lean | /-
Copyright (c) 2021 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan, Anne Baanen
-/
import algebra.char_p.algebra
import ring_theory.dedekind_domain.integral_closure
/-!
# Number fields
This file defines a number field and the ring ... |
fd7dd43917f7763d7b62003a9d7defab29eaf444 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/colimit_limit.lean | ef17325dcf8b30e688e08a79477a8fdb53dfc16d | [] | 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 | 3,753 | 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.limits.types
import Mathlib.category_theory.currying
import Mathlib.PostPor... |
a7640a6f12389d830e44536ddec82db22878ad52 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/analysis/convex/basic.lean | 10c6da16a19b4557c147f04496fd07ed00bb9c69 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 58,182 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import data.set.intervals.ord_connected
import data.set.intervals.image_preimage
import data.complex.module
import linear_algebra.affine_spac... |
7b2fcd280118165d609f99dfeb9a226c610e7dff | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/slow/nat_wo_hints.lean | e4ea3f41348f5b5a33fe7aa8ab2736aae5ab8025 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,610 | 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
-----------------------------------------------------------... |
7118c21eaf881a12585bb1d902fbcb51ece5863e | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/int_eq_num.lean | 60acc024961e98414b7d9392fb4edb1e876b5751 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 122 | lean | def f : int → nat
| -100 := 0
| 0 := 1
| 3 := 2
| _ := 4
vm_eval f (-100)
vm_eval f 0
vm_eval f 3
vm_eval f 5
|
66130b875b9bb3737b6412f8b2412a850931317a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/polynomial/quotient.lean | c476511b7c12261a79c3d97440e31bbd02c2edd9 | [
"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 | 10,665 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, David Kurniadi Angdinata, Devon Tuma, Riccardo Brasca
-/
import data.polynomial.div
import ring_theory.polynomial.basic
import ring_theory.ideal.quotient_operations
/-!
# Quoti... |
ccc63900b9fadb194aa934878aa4fd690cf8c05e | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/geometry/manifold/manifold.lean | 8215986d2fa0d5bccf09ecb4d701040ca9c13ed3 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 27,206 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.local_homeomorph
/-!
# Manifolds
A manifold is a topological space M locally modelled on a model space H, i.e., the manifold is
covered by ope... |
b5c60eb1633121b0edb5c9021a5dbe02c02d1597 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/category/Preorder_auto.lean | c3ea43ca3b9bf855589b98b672f9ac10ea23a95d | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,269 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.preorder_hom
import Mathlib.category_theory.concrete_category.default
import Mathlib.... |
e0deabea20b9c182be4a47adb54d0e2f4f515e9a | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/topology/instances/nnreal.lean | 20e4f7237f14871c985497763bf3abaac08ae39d | [
"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 | 5,363 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import topology.algebra.infinite_sum
import topology.algebra.group_with_zero
noncomputable theory
open set topological_space metric
open_l... |
6a3ab6f5d873c4e52f75e2a001aa8eaeaa914508 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/group_theory/perm/fin.lean | e6f940f11e3281e61a00378baf66fa879879e010 | [
"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 | 10,755 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import data.equiv.fin
import data.equiv.fintype
import group_theory.perm.option
import group_theory.perm.cycle_type
/-!
# Permutations of `fin n`
-/
open equiv
/-- Permut... |
dea2c4c5b1833240e5fcf5eeddc11876101a9931 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/number_theory/zsqrtd/gaussian_int.lean | 6f8d254623e9f7186c29958a9c0df5ba8646e63d | [
"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 | 12,568 | 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 number_theory.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.legendre_symbol.quadratic_reciprocity
/-!
# Gau... |
875c309f3a4a17bfb5c639a9b4098e5fd415c56f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/continuous_function/ordered.lean | 7bbf9121a9ebe159959f8959f7f9c06476f5937f | [
"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 | 4,804 | lean | /-
Copyright © 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Shing Tak Lam
-/
import topology.algebra.order.proj_Icc
import topology.algebra.order.group
import topology.continuous_function.basic
/-!
# Bundled continuous maps into... |
48f8deb4c3b578a78b18c92cddd947aaa20c77f6 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /leanpkg/leanpkg/toml.lean | 73e5b86eec2ccf025185a60655d7337d66701646 | [
"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 | 3,816 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Gabriel Ebner
-/
import data.buffer.parser
-- I'd like to contribute a new naming convention:
-- CamelCase for non-terminals.
def join (sep : string) : list string → string
| [... |
03b37a659f28cf41d7581218e895eea63cf14032 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/list/perm.lean | a475bfb16ece48eb6b6938885e65ec6fae4abfc3 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 38,751 | 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, Jeremy Avigad, Mario Carneiro
List permutations.
-/
import data.list.basic
namespace list
universe variables uu vv
variables {α : Type uu} {β : Type vv}
/-... |
34f853e542af15fd2db2ba973ae826ea08b16905 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/theories/finite_group_theory/action.lean | fe044a84a639dc701a37bb7992a0a5182ceb72ee | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 22,566 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import algebra.group data .hom .perm .finsubg
namespace group_theory
open finset function
local attribute perm.f [coercion]
private lemma and_left_true {a b : Prop} (... |
ea02a0a4c0e85f3c3281144ef9cc81fa34a91109 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/preserves/shapes/biproducts.lean | d98231a3610dcea8b058a8f608b0f777eb87a510 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 15,241 | lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.shapes.biproducts
import category_theory.limits.preserves.shapes.zero
/-!
# Preservation of biproducts
> THIS FILE IS SYNCHRONIZED WITH ... |
9ad0a059c6a7b602e3cb73477bc06bc455bc9462 | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world5/level4.lean | bde858cd54118c08c53e7f4805cf71c5798575b9 | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 1,997 | lean | /- Tactic : apply
## Summary
If `h : P → Q` is a hypothesis, and the goal is `⊢ Q` then
`apply h` changes the goal to `⊢ P`.
## Details
If you have a function `h : P → Q` and your goal is `⊢ Q`
then `apply h` changes the goal to `⊢ P`. The logic is
simple: if you are trying to create a term of type `Q`,
but `h` is... |
f992cc3ff72450b6fae203a6d49cdb6f4b8e6731 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Binary/Apply.lean | 8260a899b493873b7cef1d77f8d47c9f12ae76c5 | [
"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 | 18,701 | 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
import Mathport.Util.Misc
import Mathport.Bridge.Config
import Mathport.Binary.Basic
import Mathport.Binary.NDRec
import Mathport.Binary.EnvModifica... |
8c407f7832d22d9fe07db1ec32749255e3903af2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/ACltBug.lean | 50f9337833af5916cbcca1b403ea5a67df65a47d | [
"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 | 454 | lean | attribute [local simp] Nat.mul_comm Nat.mul_assoc Nat.mul_left_comm
attribute [local simp] Nat.add_assoc Nat.add_comm Nat.add_left_comm
example (w x y z : Nat) (p : Nat → Prop)
(h : p (x * y + z * w * x)) : p (x * w * z + y * x) := by
simp at *; assumption
example (x y z : Nat) (p : Nat → Prop)
(h₁ ... |
25b2475161bf9c6eaa58c93b6690c8dd9a8ecc8b | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_110.lean | ac521b06af9f89f8dea5262505ab4f7fcc520d1a | [] | 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 | 167 | lean | variable {α : Type*}
variables (s t u : set α)
-- BEGIN
example (h : s ⊆ t) : s ∩ u ⊆ t ∩ u :=
begin
intros x xsu,
exact ⟨h xsu.1, xsu.2⟩
end
-- END |
81a5c6da59ec18a6a7434b9c5b950fb503c35578 | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/amc12a-2002-p13.lean | 29fbe1b4c25e680e593d0cbc3d60a84e8159ba4f | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 350 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
import data.real.sqrt
example (a b : ℝ) (h₀ : 0 < a ∧ 0 < b) (h₁ : a ≠ b) (h₂ : abs (a - 1/a) = 1 ) (h₃ : abs (b - 1/b) = 1) : a + b = real.sqrt 5 :=
be... |
15c6cd0df25d3c3fb934ad0e074555388ef49177 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/group_theory/group_action/defs.lean | 919f5becf0d84ff0727810235a72516200f0875e | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,195 | 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 data.equiv.basic
import algebra.group.defs
import algebra.group.hom
import logic.embedding
/-!
# Definitions of group actions
This file defines a hierarchy of gr... |
b5d46221f90fa68172e763f8f20c4310ee3d283d | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/NonassociativeRing.lean | 86bfc22b915f6ef2416b8db75bccf53be6694f7c | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,993 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section NonassociativeRing
structure NonassociativeRing (A : Type) : Type :=
(times : (A → (A → A)))
(plus : (A → (A → A)))
(one : A)
(lunit_one : (∀ {x :... |
b1de76406e0d37b81ee3f97f18a307f7257d3af9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/assert_tac.lean | ad95c5112593da4a09fd156c24ef3ed61405e7a4 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 1,336 | lean | import logic
variables {A : Type} {a a' : A}
definition to_eq₁ (H : a == a') : a = a' :=
begin
assert H₁ : ∀ (Ht : A = A), eq.rec_on Ht a = a,
intro Ht,
exact (eq.refl (eq.rec_on Ht a)),
show a = a', from
heq.rec_on H H₁ (eq.refl A)
end
definition to_eq₂ (H : a == a') : a = a' :=
begin
have H₁ : ∀ (H... |
c5b912ca1bad03ed5428f57e16c4379409abc695 | ebfc36a919e0b75a83886ec635f471d7f2dca171 | /archive/2021/AoC/Day1.lean | ca97ead0cb46b6d28d91eaca6f676d28994e0e8c | [] | no_license | kaychaks/AoC | b933a125e2c55f632c7728eea841d827d1b5ef38 | 962cc536dda5156ac0b624f156146bf6d12ad8d2 | refs/heads/master | 1,671,715,037,914 | 1,671,632,408,000 | 1,671,632,408,000 | 160,005,656 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,954 | lean | namespace Day1
open IO.FS
section Common
variable {α β γ ζ : Type u}
variable {a : Type u -> Type v}
def liftA3 [Applicative a] (f: α -> β -> γ -> ζ) (x: a α) (y: a β) (z: a γ) : a ζ := f <$> x <*> y <*> z
end Common
section Part1
open Prod
def measureLarge (x: Nat × String) (z: String) : Nat × String := ... |
2ac281dc8f12b81b979943ff7d85e2d2f36d85df | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/rat/basic.lean | b005167adf5abb18da0334c81635c23d0d02b75c | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 24,729 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.int.sqrt
import data.equiv.encodable
import algebra.group
import algebra.euclidean_domain
import algebra.ordered_field
/-!
# Basics for t... |
96054b2658321112d44ce94962da1759be118ebe | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /tests/lean/run/match1.lean | 21c9a976ddff8833c2dd9062705aca0dfd85037a | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,356 | lean |
def f (xs : List Nat) : List Bool :=
xs.map fun
| 0 => true
| _ => false
#eval f [1, 2, 0, 2]
theorem ex1 : f [1, 0, 2] = [false, true, false] :=
rfl
#check f
def g (xs : List Nat) : List Bool :=
xs.map $ by {
intro
| 0 => exact true
| _ => exact false
}
theorem ex2 : g [1, 0, 2] = [false, true, fa... |
e89c05ff03c7fe78d10a4c5fd31c9418c7000f4f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/rwEqThms.lean | d320382b20a016af79cf9dd60bd99a89b695744e | [
"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 | 791 | lean | example {a : α} {as bs : List α} (h : bs = a::as) : as.length + 1 = bs.length := by
rw [← List.length]
trace_state -- lhs was folded
rw [h]
example {a : α} {as bs : List α} (h : as = bs) : (a::b::as).length = bs.length + 2 := by
rw [List.length, List.length]
trace_state -- lhs was unfolded
rw [h]
example ... |
f672df0f7e00096b7b94c80c52ab3636629662d0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/free_auto.lean | 013d7d6b7952eb4d63f94d8c91d5ae1ae413e96b | [] | 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 | 21,820 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.basic
import Mathlib.control.applicative
import Mathlib.control.traversable.basic
import M... |
db283a2d29265916775168ef3b6ee84f43932280 | 1a61aba1b67cddccce19532a9596efe44be4285f | /tests/lean/run/rewriter12.lean | e20076f20f7896763872a16f42b9e19da6fa38cc | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 302 | lean | import data.nat
open nat
constant f : nat → nat
example (x y : nat) (H1 : (λ z, z + 0) x = y) : f x = f y :=
by rewrite [▸* at H1, ^[add, nat.rec_on, of_num] at H1, H1]
example (x y : nat) (H1 : (λ z, z + 0) x = y) : f x = f y :=
by rewrite [▸* at H1, ↑[add, nat.rec_on, of_num] at H1, H1]
|
4353558909aaefddafd380abb54d5562bec5e1d8 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/algebra/pointwise.lean | d57aaf48f22ec462705219faf042b97f1938ca70 | [
"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 | 13,129 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Floris van Doorn
-/
import algebra.module
/-!
# Pointwise addition, multiplication, and scalar multiplication of sets.
This file defines pointwise algebraic operation... |
29c1115187c57b8356c81ad79b5d92869876cfcc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/set_family/harris_kleitman.lean | 236ffca1e72bfc4165a084b848a5a8e25b2afb3f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,256 | 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 combinatorics.set_family.compression.down
import order.upper_lower.basic
import data.fintype.big_operators
/-!
# Harris-Kleitman inequality
> THIS FILE IS SYNCHR... |
6828fc1742b536f76c3fcfbecb02ea512637c380 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/invertible.lean | 9d78a1351b3872d1920db2bf391200a1e40b4475 | [
"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 | 8,810 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
A typeclass for the two-sided multiplicative inverse.
-/
import algebra.char_zero
import algebra.char_p
/-!
# Invertible elements
This file defines a typeclass `invertible ... |
9980aaa1d663bd643d06282774df0efd3b4e7821 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/closure1.lean | a2cf62402f84ed5345f490532ac014c88a0a6578 | [
"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 | 1,645 | lean | import Lean
open Lean
open Lean.Meta
universe u
inductive Vec (α : Type u) : Nat → Type u
| nil : Vec α 0
| cons {n} : α → Vec α n → Vec α (n+1)
set_option trace.Meta.debug true
def printDef (declName : Name) : MetaM Unit := do
let cinfo ← getConstInfo declName;
trace[Meta.debug] cinfo.value!
instance : Coe ... |
860bb2c2d911132a421702bc6c7b86485b77d4cc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/uniform_space/basic.lean | 22e1275bd01b62eb473348f226dd837210bcac81 | [
"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 | 82,465 | 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, Patrick Massot
-/
import order.filter.small_sets
import topology.subset_properties
import topology.nhds_set
/-!
# Uniform spaces
Uniform spaces are a ... |
3f55287f6c054a28531a62450d98cc9563099336 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/Module/subobject.lean | 5999a7b57538e53d2b2aef9f002161c3ed5c6f4f | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 2,171 | lean | /-
Copyright (c) 2021 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import algebra.category.Module.epi_mono
import category_theory.subobject.well_powered
/-!
# Subobjects in the category of `R`-modules
We construct an explicit order i... |
009926570216f785c2aee89a25529a29b6f36712 | 3c693e12637d1cf47effc09ab5e21700d1278e73 | /src/equivalence_relations/structure_examples.lean | 0cf08d42987a3a451029f12c0ca83aba6d923ecf | [] | 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 | 1,342 | lean | import tactic
-- what's a structure?
structure group' (G : Type) [has_mul G] [has_one G] [has_inv G] :=
(mul_assoc : ∀ a b c : G, (a * b) * c = a * (b * c))
(one_mul : ∀ a : G, 1 * a = a)
(mul_one : ∀ a : G, a * 1 = a)
(mul_left_inv : ∀ a : G, a⁻¹ * a = 1)
-- easy structure
@[ext] structure silly :=
(sillyint : ℤ)
... |
27123bf50727268b84a44400abb26cbe979d88bb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/inductiveUnivErrorMsg.lean | 6eb27f2c3f685959f81f16886f6be8fac96b05be | [
"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 | 145 | lean | inductive Bar
| foobar : Foo → Bar
| somelist : List Bar → Bar
inductive Bar2
| foobar : (x : Foo) → Bar2
| somelist : List Bar2 → Bar2
|
c829e8017666888c0d8dc893a7a1a6e54bcd366a | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/geometry/manifold/smooth_manifold_with_corners.lean | a257ef7545a57d94217dde4b2a5e95c50d8cdc4c | [
"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 | 38,960 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.times_cont_diff
import geometry.manifold.charted_space
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold i... |
f5e438a8fd868162b4bc0aa1e415c0fcee74de20 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /src/Init/Data/Format.lean | 7f56a4d18a78d8c2d8a70f4a4f858f800793522b | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 265 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Format.Basic
import Init.Data.Format.Macro
import Init.Data.Format.Instances
|
aacd75d3564d07511f7f6f1d77c87cd08ae1021a | 46125763b4dbf50619e8846a1371029346f4c3db | /src/analysis/normed_space/bounded_linear_maps.lean | 314c21737139a0223310ae79a289d659506e9de2 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 18,759 | 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
Continuous linear functions -- functions between normed vector spaces which are bounded and linear.
-/
import algebra.field
import analysis.normed_space... |
fbc9c498b2f0e7af5e43696c96a66135b177d65e | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/category_theory/concrete_category/bundled.lean | 6969fa8ee7cddce31fd16413bab26886263b86e3 | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 1,386 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Reid Barton, Sean Leather
Bundled types.
-/
/-!
`bundled c` provides a uniform structure for bundling a type equipped with a type class.
We provide `... |
1bbc3a5c2f5eef81610592bb57c437a2adf04344 | 6f1049e897f569e5c47237de40321e62f0181948 | /src/solutions/04_exists.lean | 590c63b025961489df15703c7f244edbb77d5487 | [
"Apache-2.0"
] | permissive | anrddh/tutorials | f654a0807b9523608544836d9a81939f8e1dceb8 | 3ba43804e7b632201c494cdaa8da5406f1a255f9 | refs/heads/master | 1,655,542,921,827 | 1,588,846,595,000 | 1,588,846,595,000 | 262,330,134 | 0 | 0 | null | 1,588,944,346,000 | 1,588,944,345,000 | null | UTF-8 | Lean | false | false | 3,017 | lean | import data.real.basic
import data.int.parity
/-
In this file, we learn how to handle the ∃ quantifier.
In order to prove `∃ x, P x`, we give some x₀ using tactic `use x₀` and
then prove `P x₀`. This x₀ can be an object from the local context
or a more complicated expression.
-/
example : ∃ n : ℕ, 8 = 2*n :=
begin
... |
3db47cb5314e4abd242a0e28fd49b85df53294e0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/order/liminf_limsup.lean | 8540b8d61e19fae74a113c7d6fec18385988dd3a | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 45,239 | 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, Rémy Degenne
-/
import order.filter.cofinite
import order.hom.complete_lattice
/-!
# liminfs and limsups of functions and filters
Defines the Li... |
3b2e30d622f066ebd136eaf673c6d6cbc9f63b1d | 0003047346476c031128723dfd16fe273c6bc605 | /src/ring_theory/algebra.lean | 232c77ff933885d8d510c76edeeb38bf4bf30261 | [
"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 | 18,606 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Algebra over Commutative Ring (under category)
-/
import data.polynomial data.multivariate_polynomial
import linear_algebra.tensor_product
import ring_theory.subring
universes ... |
85b0ebf6de8419cca5323c4b086ec98eda7a9e47 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/slim_check.lean | 103c2cfb005f0fae37993da646f09155bdfc932b | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 7,282 | 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 testing.slim_check.testable
/-!
## Finding counterexamples automatically using `slim_check`
A proposition can be tested by writing it out as:
```lean
example (xs ... |
458f71a5a79783b9c667eef1f0058837719fd9f2 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/basic.lean | 70bfe9a95d65c4d017db3a41814a80c4dba6fbe4 | [
"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 | 33,416 | 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, Jeremy Avigad
-/
import order.filter
/-!
# Basic theory of topological spaces.
The main definition is the type class `topological space α` which endo... |
3670ee2bcc4d112d59cb7420aa041d2eaa69f9c5 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/AuxRecursor.lean | 3381a656c8764d065069d88a4b0e42ba2220cbcf | [
"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 | 2,336 | 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.Environment
namespace Lean
def casesOnSuffix := "casesOn"
def recOnSuffix := "recOn"
def brecOnSuffix := "brecOn"
def bin... |
6d78e1b050b865f5df3c78110ca3850bffa97af4 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/frontend1.lean | fb97e67bd723dd2506c111f86a315a78c7380201 | [
"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 | 7,438 | lean | import Lean.Elab
new_frontend
open Lean
open Lean.Elab
def runM (input : String) (failIff : Bool := true) : CoreM Unit := do
let env ← getEnv;
let opts ← getOptions;
let (env, messages) ← liftIO $ process input env opts;
messages.forM $ fun msg => (liftIO msg.toString) >>= IO.println;
when (failIff && messages.hasErr... |
b076183c9b6645d59a86790575920455b38c71da | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/myint/basic.lean | 806a35aa5f4e103b5a0f3b41ee846131b14232f3 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 7,972 | lean | -- vim: ts=2 sw=0 sts=-1 et ai tw=70
import ..logic
import ..mynat.basic
import ..mynat.le
import ..mynat.nat_sub
import .int_pair
import ..myring.integral_domain
namespace hidden
open mynat
def myint := quotient int_pair.int_pair.setoid
namespace myint
instance: decidable_eq myint := quotient.decidable_eq
instan... |
f2acab20d2f2fdccf0d2e715fe75953269754ab9 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/deprecated/ring.lean | 7ef81059d04503c655154ffe8f640b8616da6a49 | [
"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 | 4,991 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import deprecated.group
/-!
# Unbundled semiring and ring homomorphisms (deprecated)
This file is deprecated, and is no longer imported by anything in mathlib other... |
dc3323dd70b49102b8516f11b4f3eed9f500b1e7 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/smt/smt_tactic.lean | 79b84abc1d379addef716c426d360b32d78b22d2 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,080 | 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.simp_tactic
import init.meta.smt.congruence_closure
import init.meta.smt.ematch
universe variables u
run_command mk_simp_attr `pr... |
479c3d5458696ace1ea38bf1b7982dda971acd28 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/field_theory/splitting_field.lean | b43291a8b4f437c44b195b989d74a21324e440b0 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 7,590 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Definition of splitting fields, and definition of homomorphism into any field that splits
-/
import data.polynomial
import ring_theory.principal_ideal_domain
universes u v... |
a5b646829a4233f9241cb946fc5ad94542886868 | 7bc35d4fbdda0c01e9b22a949940ee5cbb9800d0 | /manifold/manifold.lean | 2ec5167d4093872f61141e20e4c7da7d53bae137 | [] | no_license | truonghoangle/manifolds | e6c2534dd46579f56ba99a48e2eb7ce51640e7c0 | dcf4815b29ad363ec9712fd00b7756c36cfa7c1c | refs/heads/main | 1,638,501,090,139 | 1,636,918,550,000 | 1,636,918,550,000 | 185,779,631 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,578 | lean | import manifold.differentiable
open topological_space
noncomputable theory
universes u v w
variables {α : Type} {β : Type} {γ : Type w} {n : ℕ}
variable [normed_field α]
variables {E : euclidean α }
variables {F : euclidean α }
structure chart (X : Top) (E : euclidean α ) :=
(iso : X ≃ₜ. E.to_Top)
(h1 : i... |
c4897340545798ff402990488dbd1c5486402f68 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/smt_ematch2.lean | 7549aee7c72e905b8a2ea7f4207d38faf988b8db | [
"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 | 2,728 | lean | universe variables u
namespace foo
variables {α : Type u}
open smt_tactic
meta def no_ac : smt_config :=
{ cc_cfg := { ac := ff }}
meta def blast : tactic unit :=
using_smt_with no_ac $ intros >> repeat (ematch >> try close)
section add_comm_monoid
variables [add_comm_monoid α]
attribute [ematch] add_comm add_assoc
... |
a5f87e7e21da358cf2404cdd1f2cc8efaaeaf8b4 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/mean_inequalities.lean | af5cfd68579f8fc1cefa905eb66775039d16d4a1 | [
"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 | 38,265 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import analysis.convex.specific_functions
import data.real.conjugate_exponents
/-!
# Mean value inequalities
In this file we prov... |
e9c366abca601a7775179a65f331c6ab27f1764c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/set/opposite.lean | f2866a025d0995f8655a32538dc593ac551ca88d | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 2,093 | lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import data.opposite
import data.set.basic
/-!
# The opposite of a set
The opposite of a set `s` is simply the set obtained by taking the opposite of each member of `... |
f93098dbe9f61ee8f99288d86cc7845a44da9d84 | 9a0192b31a07f48502dacee8122e0b8beda7b110 | /lista4.lean | 24c5cbeb9ab6a67e7c2a96394613caebb4a006cc | [] | no_license | ana-/Lean | 8a5b9f2e13685bd43efd72c6665401c0851157cb | 4527da83de947fa1df368b2f9bcf322a4d14e121 | refs/heads/master | 1,593,588,619,552 | 1,565,196,720,000 | 1,565,196,720,000 | 201,090,102 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 631 | lean |
/-
Lista 3 do EAD
Questão 3- Existem duas caixas, A e B. Um aviso na caixa A diz “O aviso na caixa B é falso e o ouro está na caixa B”. Um aviso
na caixa B diz “O aviso na caixa A é verdadeiro e o ouro está na caixa B”. Assumindo que existe ouro em uma das
caixas, qual delas contém o ouro? Justifique sua resposta... |
060dbdf700ff47ae8f9f8700491b37a38d1740bf | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/tactic/abel.lean | dbd6a874b02a6bd73deefd97c1e17a9d771658c1 | [
"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 | 13,361 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.group_power tactic.norm_num
/-!
# The `abel` tactic
Evaluate expressions in the language of additive, commutative monoids and groups.
-/
namespac... |
2ef000b255dfeb9744faf95fc0248ad0edc0bdd7 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Compiler/IR/NormIds.lean | 13de2760c3e5db6a2fcc44029c56b1cfd40c7371 | [
"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 | 7,366 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.IR.Basic
namespace Lean
namespace IR
namespace UniqueIds
abbrev M := StateT IndexSet Id
def checkId (id : Index) : M Bool :=
modifyG... |
905acbae90928ea5f8ae04bb0cfc0fdd102885f7 | 690889011852559ee5ac4dfea77092de8c832e7e | /src/category_theory/products/associator.lean | 30fe3623f92d6055eeacf78fb974a9c803f63353 | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 1,956 | 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
/-#
The associator functor `((C × D) × E) ⥤ (C × (D × E))` and its inverse form an equivalence.
-/
universes v... |
b985eb1358d5137f0dc1d2fc45fa13cd26671a00 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/group_theory/perm/list.lean | 6afbf9fe5248f8996acd1b489862ee5fc07f186f | [
"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 | 16,389 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.list.rotate
import group_theory.perm.support
/-!
# Permutations from a list
A list `l : list α` can be interpreted as a `equiv.perm α` where each ele... |
7e6b3a92e24e7400b7ea4d95d8b1919cc85f6955 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Init/Data/Nat/Basic.lean | 0be29b289e79147b7d2fae9a41348455f38bebb5 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 14,877 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import Init.SimpLemmas
universe u
namespace Nat
@[specialize] def foldAux {α : Type u} (f : Nat → α → α) (s : Nat) : Nat → α → α... |
3641068540a5006cd818cac183a6d57df664ec1a | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/compacts.lean | 9c0a9caa962d42864e219cd95439ffecf771f326 | [
"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 | 4,467 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import topology.homeomorph
/-!
# Compact sets
## Summary
We define the subtype of compact sets in a topological space.
## Main Definitions
- `closeds α` is th... |
ea8399b20dfcb1b013641ef0d5c6fb76582c0b3c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/equiv/encodable/basic.lean | aca7245fa3b847151438519fa7bda6248fae7293 | [
"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 | 18,130 | 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, Mario Carneiro
-/
import data.equiv.nat
import order.rel_iso
import order.directed
/-!
# Encodable types
This file defines encodable (constructively countab... |
141802d5cbcab1aa1dc8da0a56e5b05abedc3587 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/tutorial/4.lean | 02b53b4a92de38807574e60226e442dc495529a1 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 91 | lean | lemma add_succ_zero (a : mynat) : a + succ(0) = succ(a) :=
rwa [add_succ, add_zero],
end
|
4bb2b58fadaccc6e1a44bfb54162fb6ac93a4fcc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/fp/basic.lean | 3936873bc42a4b3e8d785333d0ebcaa308ea5ebc | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,487 | 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.semiquot
import data.rat.floor
/-!
# Implementation of floating-point numbers (experimental).
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to... |
56a0e278a70acf03e8ec025f0a715f50ed8a98ed | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/Converter.lean | 23f074a7d94ddd3ca06ed32db15f8da8b0d61fc8 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,478 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
import Mathport.Syntax.Translate.Tactic.Lean3
open Lean
namespace Mathport.Translate.Tactic
open Mathport.Trans... |
d2d3bd46bf85f1ceb8bbbe485e49b6b7af827536 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.36.lean | 08d92a1d77593df4bc81fabd2995b254cd1a35cf | [] | 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 | 54 | lean | import standard
import data.nat
open nat (hiding add)
|
fac8248bf99943794ae69e5a83a8f154a2ff67c2 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/category_theory/natural_isomorphism.lean | ce931c5699a6197542baec4f599b39a76e6676f7 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 5,359 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.functor_category
import category_theory.isomorphism
open category_theory
universes v₁ v₂ v₃ v₄... |
b771555d1a027eb60b37334a1dcc3608646c37c0 | b147e1312077cdcfea8e6756207b3fa538982e12 | /data/finset.lean | 6262d43351a2323eb20a1fb534d78e1a9f7b403c | [
"Apache-2.0"
] | permissive | SzJS/mathlib | 07836ee708ca27cd18347e1e11ce7dd5afb3e926 | 23a5591fca0d43ee5d49d89f6f0ee07a24a6ca29 | refs/heads/master | 1,584,980,332,064 | 1,532,063,841,000 | 1,532,063,841,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,237 | 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 logic.embedding order.boolean_algebra algebra.order_functions
data.multiset data.sigma.basi... |
3dfc56a505363484d77c634d3c50b0f209aee905 | dc15192b741b5d1c22cea8d65d6eb38bce3d838d | /src/circuit.lean | 39ccf51f5e4b2523bc17929e2b0d84b96dc6e678 | [] | no_license | VArtem/lean-matroids | 86910241ac8d1a5ec7b35adb77c1cc9969480fb9 | a8969b1cb2456820ccbdce65e2e168c48c30d9bf | refs/heads/main | 1,678,556,999,525 | 1,614,537,008,000 | 1,614,537,008,000 | 338,915,729 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,104 | lean | import data.nat.basic
import data.finset.basic
import tactic
import matroid
import finset
import base_of
variables {α : Type*} [fintype α] [decidable_eq α] {m : matroid α} {A B : finset α}
open finset
namespace matroid
lemma circuit_sdiff : m.circuit A → B ⊆ A → B ≠ ∅ → m.ind (A \ B) :=
begin
rintro ⟨Anind, Aera... |
27fc71b06a2bdcc944698c27bdd04c38fe228604 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/topology/algebra/infinite_sum.lean | a3bd35220256758c7e68f276b4ba68fd37de38d7 | [
"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 | 46,513 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.intervals
import topology.instances.real
import topology.algebra.module
import data.indicator_function
import data.equiv.encodable.lattic... |
fe5832fd072cd25e5a8effd48e03e68390f79235 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /tests/lean/run/tc_inout1.lean | 858511ce0d91b40fc888bcac3490553782e34ea1 | [
"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 | 2,141 | lean | universe variables u v
/-
Type class parameter can be annotated with out_param.
Given (C a_1 ... a_n), we replace a_i with a temporary metavariable ?m_i IF
1- a_i is an out_param and it contains metavariables.
3- a_i depends on a_j for j < i, and a_j was replaced with a temporary metavariable ?m_j.
This case is ne... |
0effb21674e934fd37b341ce069b0e29d6de1759 | df561f413cfe0a88b1056655515399c546ff32a5 | /4-power-world/l8.lean | 3e41a378d84d062938bd306d08c56cab71b765c4 | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 481 | lean | lemma add_squared (a b : mynat) :
(a + b) ^ (2 : mynat) = a ^ (2 : mynat) + b ^ (2 : mynat) + 2 * a * b :=
begin
rw two_eq_succ_one,
rw one_eq_succ_zero,
repeat { rw pow_succ },
repeat { rw pow_zero },
repeat { rw one_mul },
rw mul_add,
repeat { rw add_mul },
rw mul_comm b a,
rw add_assoc,
rw ← add_assoc (a * b) _ _... |
129e110ba9081894d06b46110fff4136f382b5c5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/bundle.lean | b916ce0d124578e28a65effbf07beab8ff0ae9ce | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,515 | lean | /-
Copyright © 2021 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import algebra.module.basic
/-!
# Bundle
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
Basic data ... |
bb4eb30856cf923421cd639952760bc34bde32d1 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/discrTreeSimp.lean | 1e2c1b377fc2df0d6508e6babe09955f05b05ab9 | [
"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 | 694 | lean | prelude
import Init.Data.List.Basic
@[simp] theorem map_comp_map (f : α → β) (g : β → γ) : List.map g ∘ List.map f = List.map (g ∘ f) :=
sorry
theorem map_map (f : α → β) (g : β → γ) (xs : List α) : (xs.map f |>.map g) = xs.map (g ∘ f) :=
sorry
theorem ex1 (f : Nat → Nat) (xs : List Nat) : (xs.map f |>.map f) = ... |
679c7bbd26eaa3655f1acbb09d5c5c778f8ecac9 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/DeclModifiers.lean | 3a332d96302a72adeea2f24d903e52bbf8f6ad04 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,011 | 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.Modifiers
import Lean.DocString
import Lean.Elab.Attributes
import Lean.Elab.Exception
import Lean.Elab.DeclUtil
namespace L... |
cf8a8537e5e835b27bf01dbf8127d6447d39ba1d | abd85493667895c57a7507870867b28124b3998f | /src/ring_theory/localization.lean | 074ccb788473f27101645e10808cc6dbb573ce0a | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 33,931 | 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 tactic.ring_exp
import ring_theory.ideal_operations
import group_theory.monoid_localization
/... |
03fef68ff07414000aecc75ee8e963b4e5b1ca86 | 6f4750ff03c8be1d6c0b1b809ff6ac541b9d5a22 | /WhileSyntax.lean | d084844ac0ec59584a229993e06b1284cd9dae1b | [] | no_license | benating/Lean_Test | 1809b5e15df9edcdf4a3388f53d2205f29c89ac2 | c07099804a86347b4ec836f54530f62e22534bdb | refs/heads/master | 1,628,468,905,337 | 1,510,426,597,000 | 1,510,426,597,000 | 108,762,297 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,033 | lean | namespace whileSyntax
inductive wExpr : Type
| ident : string → wExpr
| num : ℕ → wExpr
| add : wExpr → wExpr → wExpr
| mul : wExpr → wExpr → wExpr
namespace wExpr
infixl `+` := add
infixl `*` := mul
end wExpr
inductive wBool : Type
| true : wBool
| false : wBool
| eq : wBool → wBool → wBool
| lt : wBool → ... |
c1f77eec7369b25888139e8b519bcdfca782c8be | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Std/Data/HashMap.lean | f2f981a5b7db3f9652bc371c7e365e5d78d66c8f | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,220 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Std.Data.AssocList
namespace Std
universes u v w
def HashMapBucket (α : Type u) (β : Type v) :=
{ b : Array (AssocList α β) // b.size > 0 }
def Ha... |
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