blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f926807e19a81c28835dfec193a117d49a549fb2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/real/pi/leibniz.lean | 7d26a16f6aa2b115cbe80bd5fa115367fe15afec | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,758 | lean | /-
Copyright (c) 2020 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson
-/
import analysis.special_functions.trigonometric.arctan_deriv
/-! ### Leibniz's Series for Pi
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this... |
35f5bcdf84756cac41f9abf345c79e36cab38594 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/slim_check.lean | ecbdff6d56c632a2aece28ebf01dd465fac65fd5 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,208 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import testing.slim_check.testable
import data.list.sort
/-!
## Finding counterexamples automatically using `slim_check`
A proposition can be tested by writing it out as... |
953641e1e8c445aa6352d27266ac0483a2e554f8 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/compiler/partial.lean | aeef0db262ff47f2c6b8fa3104b1fb7152f1dc4f | [
"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 | 374 | lean |
set_option pp.implicit true
set_option pp.binder_types false
-- set_option trace.compiler.boxed true
partial def contains : String → Char → Nat → Bool
| s, c, i =>
if s.atEnd i then false
else if s.get i == c then true
else contains s c (s.next i)
def main : IO Unit :=
let s1 := "hello";
IO.println (conta... |
a4603be524fd6af7ed695da335ae02a500a4b8ea | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/ring_theory/unique_factorization_domain.lean | 32a70fc3feee25d29d2f5b471e2df7e28891a7ea | [
"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 | 53,322 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
import algebra.gcd_monoid.basic
import ring_theory.integral_domain
import ring_theory.noetherian
/-!
# Unique factorization
## Mai... |
576153df9b218570ce4a88d04d3c45b625ad8860 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/instances.lean | cea856cdd7344cc4487e31c320efcddb795e5bef | [
"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 | 249 | lean | import Init.Lean
open Lean
open Lean.Meta
def tst1 : IO Unit :=
do let mods := [`Init.Lean];
env ← importModules $ mods.map $ fun m => {module := m};
let insts := env.getGlobalInstances;
IO.println (format insts);
pure ()
#eval tst1
|
2e4baad941fc57bfff515744d588c1a19bd543de | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Elab/Command.lean | 0882e2417507f03426cb12964cc86c6114d04cae | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,108 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Command
import Lean.ResolveName
import Lean.Meta.Reduce
import Lean.Elab.Log
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.E... |
8b7f76128a8816c860c2d2fb0bdbc99f9eab8de0 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Compiler/FFI.lean | d1f4bc525531bf53829fe1d7653b553bba81f9d7 | [
"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 | 904 | lean | /-
Copyright (c) 2021 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
open System
namespace Lean.Compiler.FFI
@[extern "lean_get_leanc_extra_flags"]
private constant getLeancExtraFlags : Unit → String
/-- Return C compiler fla... |
a7e4a6d63e416473b91356aa323915e1cf989688 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/iterate.lean | 2b0b78c82ce618c8492ad30f1a3f6856d1728b8e | [
"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 | 8,960 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import logic.function.iterate
import data.nat.basic
/-!
# Inequalities on iterates
In this file we prove some inequalities comparing `f^[n] x` and `g^[n] x`... |
2e6fff56f03857e11063e1422a3c613ac57e6a89 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/intervals/proj_Icc.lean | 41a033fc0ed3a8346048c834dcc0cf1f3ebc7f80 | [
"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 | 11,046 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot
-/
import data.set.function
import data.set.intervals.ord_connected
/-!
# Projection of a line onto a closed interval
> THIS FILE IS SYNCHRONIZ... |
77e52f5c448d26aa8026f9e44e612583f66652ef | bb31430994044506fa42fd667e2d556327e18dfe | /src/field_theory/is_alg_closed/basic.lean | b23f594b1fee5dea1ca26f234e7d5b1094beeb51 | [
"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 | 21,001 | 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 field_theory.perfect_closure
import field_theory.separable
import ring_theory.adjoin.field
import ring_theory.localization.integral
/-!
# Algebraically Closed Field
I... |
7588c835f705736bb74df015bda3209d4994a9a2 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/have6.lean | 758bf68fd05ed853ec6869b5fc8d5ffc13287c42 | [
"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 | 640 | lean | abbreviation Prop : Type.{1} := Type.{0}
variable and : Prop → Prop → Prop
infixl `∧`:25 := and
variable and_intro : forall (a b : Prop), a → b → a ∧ b
variables a b c d : Prop
axiom Ha : a
axiom Hb : b
axiom Hc : c
check
have a ∧ b, from and_intro a b Ha Hb,
have [fact] b ∧ a, from and_intro b a Hb Ha,
have H : ... |
2be266475408949fabb410648a876ebeb8320ad0 | 3bdd27ffdff3ffa22d4bb010eba695afcc96bc4a | /src/combinatorics/simplicial_complex/subdivision.lean | fca00818dfaacd4505bad6aebe67ad5e6034d38e | [] | no_license | mmasdeu/brouwerfixedpoint | 684d712c982c6a8b258b4e2c6b2eab923f2f1289 | 548270f79ecf12d7e20a256806ccb9fcf57b87e2 | refs/heads/main | 1,690,539,793,996 | 1,631,801,831,000 | 1,631,801,831,000 | 368,139,809 | 4 | 3 | null | 1,624,453,250,000 | 1,621,246,034,000 | Lean | UTF-8 | Lean | false | false | 7,013 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import analysis.specific_limits
import combinatorics.simplicial_complex.basic
import set_theory.fincard
open affine set
variables {m : ℕ} {E... |
7d8d8e15242569787ea719527ca24113c2cd9275 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/Tactic/Simp/SimpAll.lean | 61bb68a4b3912916d911c150716655009e3f04fb | [
"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 | 4,682 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Simp.Main
namespace Lean.Meta
namespace SimpAll
structure Entry where
... |
c09bbef3736ca344c00edf03d0dfb9e34aa9f920 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/algebra/subalgebra.lean | 37afcae1d33590bbfe5aca7c63ac8dfb09e48b4c | [
"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 | 39,909 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.algebra.operations
import data.set.Union_lift
/-!
# Subalgebras over Commutative Semiring
In this file we define `subalgebra`s and the usual o... |
daa8d56d04f7e9bb3cf4b501d728dac566ef00d5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed_space/affine_isometry.lean | 269c09455175d08f2b3d49434b58212271ced24b | [
"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 | 22,009 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.normed_space.add_torsor
import analysis.normed_space.linear_isometry
/-!
# Affine isometries
In this file we define `affine_isometry 𝕜 P P₂` to b... |
4faa593d6a7bafc9e31d4f79677feaca04667986 | 1136b4d61007050cc632ede270de45a662f8dba4 | /library/init/data/list/instances.lean | a71f02f5730032d0109372d5fbb4468c5266f8e6 | [
"Apache-2.0"
] | permissive | zk744750315/lean | 7fe895f16cc0ef1869238a01cae903bbd623b4a9 | c17e5b913b2db687ab38f53285326b9dbb2b1b6e | refs/heads/master | 1,618,208,425,413 | 1,521,520,544,000 | 1,521,520,936,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,851 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.list.lemmas
import init.meta.mk_dec_eq_instance
open list
universes u v
local attribute [simp] join list.ret
instance : monad lis... |
6da617513fb6c15cff78291720f5c675b05ec720 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/monoidal/category.lean | 4cd1c958ad50683d0f1000ade6211a5e7533cc7c | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 16,010 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison
-/
import category_theory.products.basic
open category_theory
universes v u
open category_theory
open category_theory.category
open category_the... |
228ecd25f5c3b8093fef43cabdc9cf768cbf3ac9 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/category/Algebra/limits.lean | bfed0f4c8193e32006094ea64cffabb74cf100d6 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 4,936 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Algebra.basic
import algebra.category.Module.limits
import algebra.category.CommRing.limits
/-!
# The category of R-algebras has all limits
... |
b598a6c8e116966b301baf3823f6a17b144462ee | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/polyhedral_lattice/basic.lean | 4514b7357c9cbbcf27eeeb58b625d98ed4dcf570 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,217 | lean | import analysis.normed_space.normed_group_hom
import ring_theory.finiteness
import linear_algebra.free_module
import ring_theory.int.basic
/-!
# Polyhedral lattices
A polyhedral lattice is a finite free ℤ-module with a real-valued norm
making it into a normed group, such that the closed unit ball of
the Banach space... |
0c58426db012002fe50d794387c55c7484e52fdf | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/analysis/topology.lean | bea51477e551d2a0cda94ed1b5762892fa559c94 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 8,454 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Computational realization of topological spaces (experimental).
-/
import topology.bases data.analysis.filter
open set
open filter (hiding realizer)
open_locale topolog... |
29551f6d22746b19fd8f1ace1655add1ed822c8b | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/tactic/tauto.lean | 8b267a5d9338675403619539855fb8e7ee83df35 | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 8,839 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import logic.basic tactic.solve_by_elim
namespace tactic
open expr
open tactic.interactive ( casesm constructor_matching )
/--
find all assumptions of the shape `¬ (p ... |
d9da6f89221e9498f5c93a88d2640d3994b26097 | 952248371e69ccae722eb20bfe6815d8641554a8 | /src/reconstruction_theorems.lean | f0859427655be9babd892a29b242b9b4d0659f42 | [] | 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 | 29,143 | lean | import .datatypes tactic.norm_num
namespace polya
theorem eq_or_gt_of_ge {α} [decidable_linear_order α] {a b : α} (h : a ≥ b) : a = b ∨ a > b :=
have h1 : ¬ b > a, from not_lt_of_ge h,
eq_or_lt_of_not_lt h1
theorem eq_or_lt_of_le {α} [decidable_linear_order α] {a b : α} (h : a ≤ b) : a = b ∨ a < b :=
have h1 : ¬ b < ... |
ff4944a5f5f5fc372727aa765512b5a82c9da206 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/prod/basic.lean | eb8f6034c7058c937d4393f7af98a747a1e11f0f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,896 | 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 tactic.basic
import logic.function.basic
/-!
# Extra facts about `prod`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corre... |
ff428b1dd00f923b6229039eed72f1cc7b215be4 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/integral_closure.lean | 9bbae86e7bd233bb5a5730607e62b9715afb0cda | [
"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 | 40,364 | 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 data.polynomial.expand
import linear_algebra.finite_dimensional
import linear_algebra.matrix.determinant
import ring_theory.adjoin.fg
import ring_theory.polynomial.scale... |
178102f45e75bc68d011034402ca91d8be6f37d2 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/topology/bases.lean | 0d59c5b914e303ec41344436f7406765ff1ddf3a | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,619 | 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 topology.continuous_on
import topology.constructions
/-!
# Bases of topologies. Countability axioms.
A topological basis on a topological sp... |
76c339ed96a13e82a8c1d8f393021f881c24b855 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/control/bitraversable/basic.lean | 4582d5549434e0792793daf5a9435e6db9132ba1 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,384 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.control.bifunctor
import Mathlib.control.traversable.basic
import Mathlib.PostPort
universes u l ... |
a3b0cb72d971062492889523254371a93639fd5b | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/data/support.lean | 2b368b884beaafddd3b2367396242f479adfcd91 | [
"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 | 7,312 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import order.conditionally_complete_lattice
import algebra.big_operators.basic
import algebra.group.prod
import algebra.group.pi
import algebra.module.pi
/-!
# Sup... |
152deea6bf6d8d7284a28cb90fc4ecf2510f8797 | e38e95b38a38a99ecfa1255822e78e4b26f65bb0 | /src/certigrad/backprop_correct.lean | 7491a2d4188ed4d1bb1934e6582feb3c7c51760a | [
"Apache-2.0"
] | permissive | ColaDrill/certigrad | fefb1be3670adccd3bed2f3faf57507f156fd501 | fe288251f623ac7152e5ce555f1cd9d3a20203c2 | refs/heads/master | 1,593,297,324,250 | 1,499,903,753,000 | 1,499,903,753,000 | 97,075,797 | 1 | 0 | null | 1,499,916,210,000 | 1,499,916,210,000 | null | UTF-8 | Lean | false | false | 2,417 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Main functional correctness theorem for stochastic backpropagation.
-/
import .util .graph .compute_grad .predicates .estimators .env .dvec .compute_grad_slow_correct .mem... |
9358f3a980060ca95cae1174ba84bed7deb81f2d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/finset/order.lean | 29cd1a6aeb861c59cd038dcb4d7a83c8047d4cb4 | [] | 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 | 780 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.finset.basic
import Mathlib.PostPort
universes u u_1
namespace Mathlib
... |
dd91c47ace8f78f2490b1dbe8b3a1f1d1414df38 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.22.lean | b09cfaa4a8e224392f0fcc7dd3f82daadacd5957 | [] | 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 | 259 | lean | /- page 22 -/
import standard
definition compose (A B C : Type) (g : B → C) (f : A → B) (x : A) :
C := g (f x)
definition do_twice (A : Type) (h : A → A) (x : A) : A := h (h x)
definition do_thrice (A : Type) (h : A → A) (x : A) : A := h (h (h x))
|
d28f79a8ab8cfdd344f7510ac733555fd426e7ee | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/algebra/order/floor.lean | 51db0112d08549e375214378092c5a2c8cd724a6 | [
"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 | 21,036 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Kappelmann
-/
import tactic.abel
import tactic.linarith
/-!
# Floor and ceil
## Summary
We define the natural- and integer-valued floor and ceil functions on l... |
8361a47ccb9c064caa7e1417930156af19192c07 | 26b8b0964ca8e1c2e203585ba5940f83fe05e48a | /test/rewrite_all.lean | c80656b8346695a214bc6447a8d9333de5507760 | [] | no_license | jcommelin/lean-tidy | ef3cd32a3804221d93f0dff9e180bb2c52f4b143 | 9cecf497e90db64b5ea140ad6ae1603976dcd402 | refs/heads/master | 1,585,129,919,276 | 1,533,512,680,000 | 1,533,512,680,000 | 143,677,361 | 0 | 0 | null | 1,616,803,481,000 | 1,533,530,576,000 | Lean | UTF-8 | Lean | false | false | 139 | lean | import tidy.rewrite_all
axiom foo : [1] = [2]
example : [[1], [1], [1]] = [[1], [2], [1]] :=
begin
perform_nth_rewrite_lhs [foo] 1,
end |
cadd6f7c6bd5b41caa780f8c074dd5fd7eaeef85 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/topology/algebra/uniform_group.lean | ab2160a3ad44912383f74e74436dbf99b33840ed | [
"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 | 19,584 | 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
Uniform structure on topological groups:
* `topological_add_group.to_uniform_space` and `topological_add_group_is_uniform` can be used to
construct a... |
17de9ee00fadea0bc48c29892fe4b177144314ff | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/ExprDefEq.lean | 0a860850761ee86cbc4cf91570dad0fd27a7e665 | [
"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 | 83,128 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Offset
import Lean.Meta.UnificationHint
import Lean.Util.OccursCheck
namespace Lean.Meta
/--
Return `true` if `e` is of the form `fun (... |
809170bbafe2ed6a1c8a7ff15af5054571dedd6d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/module/weak_dual.lean | 5b1339fe4fb96b0eabe07067f55f6d10b3081dc6 | [
"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 | 12,522 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä, Moritz Doll
-/
import topology.algebra.module.basic
import linear_algebra.bilinear_map
/-!
# Weak dual topology
This file defines the weak topology given two vector space... |
503073dc2fef10818cbefe002c8de40a6d0b0143 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/sublists.lean | c86ab9b33afc43b2cbab27e0cbd00305f92bfa75 | [
"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 | 12,217 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
import data.nat.choose.basic
/-! # sublists
`list.sublists` gives a list of all (not necessarily contiguous) sublists of a list.
This file c... |
3da8c676f49b6b845b99163a30b2728790a5d2dc | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/calculus/monotone.lean | d7f179ff054916174a0057daebf37d685d9c9459 | [
"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 | 14,532 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.measure.lebesgue
import analysis.calculus.deriv
import measure_theory.covering.one_dim
/-!
# Differentiability of monotone functions
We ... |
d15289c70939ceda5c3b4fc7df7203a19304393a | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/hott/457.hlean | cf24871b6068cd838492f3e11089ac97d4a1015c | [
"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 | 184 | hlean | import algebra.group
open eq algebra
definition foo {A : Type} (a b c : A) (H₁ : a = c) (H₂ : c = b) : a = b :=
begin
apply concat,
rotate 1,
apply H₂,
apply H₁
end
|
0d84f050ebab1cec200c3a31b9f803b6d188e924 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/smt_destruct.lean | 1a118e10a3e69761fd93cda875f16f3f8e26aa92 | [
"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 | 1,654 | lean | open smt_tactic
lemma ex1 (p q : Prop) : p ∨ q → p ∨ ¬q → ¬p ∨ q → ¬p ∨ ¬q → false :=
by using_smt $ do
intros,
trace_state,
a_1 ← tactic.get_local `a_1,
destruct a_1,
repeat close
lemma ex2 (p q : Prop) : p ∨ q → p ∨ ¬q → ¬p ∨ q → ¬p ∨ ¬q → false :=
begin [smt]
intros,
have h : p ∨ q,
destruc... |
69f7b0b6700a57c2d095db5f567dba696485ba7e | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/polynomial/basic.lean | 210cc0b618da41e7e22000ece7d740e4d5bd6144 | [
"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 | 43,757 | 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 algebra.char_p.basic
import data.mv_polynomial.comm_ring
import data.mv_polynomial.equiv
import ring_theory.principal_ideal_domain
import ring_theory.polynomial.content... |
5924bf4d199df071f3402b2edd1eccbf5b1cd61a | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/tactic/norm_num.lean | 7b1943a36055a8a58ba29b74b8a497d1a2a2ada9 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 62,118 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import data.rat.cast
import data.rat.meta_defs
/-!
# `norm_num`
Evaluating arithmetic expressions including *, +, -, ^, ≤
-/
universes u v w
namespace ta... |
282815d661a2883108ab0712a6db8dbace55bcfd | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Server/FileWorker.lean | 9a3e28e3415e540d3452c91b247a0c579b2542bb | [
"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 | 23,218 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Lean.Data.RBMap
import Lean.Environment
import Lean.Data.Lsp
import Lean.Data.Json.FromToJson
import Lean.Util.Paths... |
afd7834253962788fe965ffeab421ca5d0acd102 | 4f643cce24b2d005aeeb5004c2316a8d6cc7f3b1 | /omin/gen_presheaf.lean | 320136290dd1370e8d45bbeb00f7b315d0000ea6 | [] | no_license | rwbarton/lean-omin | da209ed061d64db65a8f7f71f198064986f30eb9 | fd733c6d95ef6f4743aae97de5e15df79877c00e | refs/heads/master | 1,674,408,673,325 | 1,607,343,535,000 | 1,607,343,535,000 | 285,150,399 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,251 | lean | import category_theory.concrete_category
import category_theory.comma
import category_theory.punit
/-
Attempt at avoiding the infinite sequence
`definable_psh`, `definable_fam`, ?, ...
by abstracting over the index category,
and passing to the slice category over X
(or really, the category of elements of X)
to handle ... |
3e3a82ce94b7ddabbab678fb9e05a41f564e4e3a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/number_theory/liouville/liouville_constant.lean | 32bafe6a54c0a9f735e573a253c9b1670d87a3f7 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,830 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Jujian Zhang
-/
import number_theory.liouville.basic
/-!
# Liouville constants
This file contains a construction of a family of Liouville numbers, indexed by a natural n... |
127f3e5e10f841d334a9b99a1802a9e9f2ce66f8 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/polynomial/monic.lean | 7b72537d5847e6d39d55e6041e8952620fdd7198 | [
"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 | 15,919 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.reverse
import algebra.associated
import algebra.regular.smul
/-!
# Theory of monic polynomials
W... |
6f76eff7aab10a53e111c873a13477cf36f453dd | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /src/tidy/rewrite_search/init.lean | eeae7257bafa7d5720d6e56213ac456e05fdc9e8 | [] | 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 | 1,472 | lean | -- Never import tidy.rewrite_search.engine directly. Go through me.
import .engine
-- Default strategy and tracer used as a fallback by the engine (so mush be present)
import .strategy.edit_distance
import .tracer.unit
open tactic
namespace tidy.rewrite_search
meta def default_tracer := by pick_default_tracer
meta... |
95ebad4720d182eaa59aeb0ae0131f6ce1d8e5ce | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Server/Requests.lean | 901fdfb9f219d6b9fb71eb7ca2bdf2c564054d88 | [
"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 | 10,352 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.DeclarationRange
import Lean.Data.Json
import Lean.Data.Lsp
import Lean.Elab.Command
import Lean.Server.FileSource
import Lean.Ser... |
f47ed28b467691b9cd1c2f8a31c6136167d6fd9c | a46270e2f76a375564f3b3e9c1bf7b635edc1f2c | /4.6.3.lean | 330451802655495cc7091bba00dc02ef4ca11ca2 | [
"CC0-1.0"
] | permissive | wudcscheme/lean-exercise | 88ea2506714eac343de2a294d1132ee8ee6d3a20 | 5b23b9be3d361fff5e981d5be3a0a1175504b9f6 | refs/heads/master | 1,678,958,930,293 | 1,583,197,205,000 | 1,583,197,205,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 349 | lean | variables (men : Type) (barber : men)
variable (shaves : men → men → Prop)
example (h : ∀ x : men, shaves barber x ↔ ¬ shaves x x) : false :=
have hc: shaves barber barber ↔ ¬ shaves barber barber, from h barber,
have h1: shaves barber barber -> false, from λ l, hc.mp l l,
have h2: shaves barber barber, from h... |
8e918f76754cdb554cb324ce900af25699cc198f | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/tools/super/utils.lean | 665f1c91b09c0d0515650d40536621b6c9981dc4 | [
"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 | 5,051 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
open tactic expr list
meta def get_metas : expr → list expr
| (var _) := []
| (sort _) := []
| (const _ _) := []
| (mvar n t) := expr.mvar n t :: get_metas t
| (local_... |
94daa0414b6d15a0cd21b8486fc71a03a1dd96c1 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/pnat/factors.lean | 3c8211d5875f376f50218b9ed25c20c2a9f311e1 | [
"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 | 14,413 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Neil Strickland
-/
import data.pnat.basic
import data.multiset.sort
import data.int.gcd
import algebra.group
/-- The type of multisets of prime numbers. Unique factorization
gives a... |
f44e300e6e523a9d826ac0877edb084cbe5880db | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/struct1.lean | 4207941ac7c84e540349018bdd01d55e3c8271d7 | [
"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 | 973 | lean |
structure A0.{u} (α : Type u) :=
(x : α)
structure A.{u} (α : Type u) extends A0 α :=
(y : α)
structure B.{u} (α : Type u) :=
(z : α)
variable (β : Type _)
variable (β' : Type _)
universe u
structure C.{v} (α : Type _) (δ : Type u) (η : Type v) extends A β, B α :=
mk2 :: (w : Nat := 10)
#check C
#check @C
#chec... |
2117f06f948e0ab88c1b93cde7b328c0edc2bc65 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/revert_crash.lean | 4f4861d86b8c0a6ba70c6f60b7e02123c155ae71 | [
"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 | 238 | lean | constant α: Type
inductive P: α → Prop
inductive Q: α → α → Prop
| of: ∀ {a₁ a₂}, Q a₁ a₂
example {a: α} (P_a: P a) (Q_a: ∃ a', Q a' a): true :=
begin
cases Q_a with a' Q_a'_a,
cases Q_a'_a,
cases P_a,
end
|
b5578072fe618d6c6e98567dabc278505a6716e7 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/tactic/unify_equations.lean | 325e58e213bc80c49e3c2c1311f98103410201b2 | [
"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 | 14,572 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import tactic.core
/-!
# The `unify_equations` tactic
This module defines `unify_equations`, a first-order unification tactic that
unifies one or more equations in ... |
322f9e8893224d0a520ce994c18a16d0592e422a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/cc6.lean | 413e2157cd4e5bb61715bbcaf97fa84ef50afe00 | [
"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 | 551 | lean | open tactic
example (a b c a' b' c' : nat) : a = a' → b = b' → c = c' → a + b + c + a = a' + b' + c' + a' :=
by cc
example (a b : unit) : a = b :=
by cc
example (a b : nat) (h₁ : a = 0) (h₂ : b = 0) : a = b → h₁ == h₂ :=
by cc
constant inv' : ∀ (a : nat), a ≠ 0 → nat
example (a b : nat) (h₁ : a ≠ 0) (h₂ : b ≠ 0) :... |
f0936ede9490114dd68c67ea2182c02ca45372b2 | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/pminusone.lean | 33da4492395cf242c13acfa82c3c9609ccf4fa36 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 551 | lean | import data.int.basic
example (p : ℤ) (q : 2 ∣ int.nat_abs (p - 1)) :
int.nat_abs ((p - 1) / 2) = int.nat_abs (p - 1) / 2 :=
begin
cases q with d hd,
have H : ∃ e, (p - 1) = 2 * e,
cases (int.nat_abs_eq (p - 1)),
existsi (d : ℤ),
rw [h,hd],
refl,
existsi (- (d : ℤ)),
rw [h,hd],
rw int.coe_nat... |
281fa78f889f26881792c52e3d297201f9ef674d | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/set/lattice.lean | f471c46756d630c65036eb530f91a16816d890bd | [
"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 | 34,671 | 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, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import logic.basic data.set.basic data.equiv.basi... |
23c016fdc4d52a074da942c87f4a9e3afd457c8d | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Elab/Deriving/Basic.lean | aa7afdbaef418e38fe4e2b762b18d08abaec674d | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,626 | 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.Elab.Command
namespace Lean.Elab
open Command
def DerivingHandler := (typeNames : Array Name) → CommandElabM Bool
builtin_initialize deriving... |
cbccf35ebe9a2e5bb5aaba8843eb0e3ef11cb090 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/field/defs.lean | ffbf64f8366df744ace633d255b65d4ee60420e9 | [
"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 | 9,339 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import data.rat.init
import algebra.ring.defs
/-!
# Division (semi)rings and (semi)fields
> THIS FILE IS SYNCHRONIZED... |
fb130ee8c6029a5c43eb9c771a2f3fb62e2d4eed | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/algebra/uniform_mul_action.lean | a541a115c4b66196e027c89e2595a46017b84707 | [
"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 | 4,703 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.hom.group_instances
import topology.algebra.uniform_group
import topology.uniform_space.completion
/-!
# Multiplicative action on the completi... |
df48aa6b6a044050eca1163cf8eabaee59f8395e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/965.lean | 5af339523fcc24560b9d164ce92c07a78a68dc50 | [
"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 | 155 | lean | import algebra.bundled
variable G : Group
check (1 : G)
check (1 : Group.carrier G)
set_option pp.coercions true
check (1 : G)
check (1 : Group.carrier G)
|
085320e079c0660ef64fbcd85ea0afd7d6fabac9 | 12b755d17b2fc1d2a08d39a11658674c4dc6c2c3 | /src/week04.lean | c91cbc19646501418e03b23d1e439c9dbe6dab39 | [] | no_license | UVM-M52/lean-hdthomas | a0066caf3bddd8fc8075016257a63a4d80a8fb33 | 1d399a5bb22544831ff466b2fe4cec38832b8ba6 | refs/heads/master | 1,609,092,927,189 | 1,580,748,817,000 | 1,580,748,817,000 | 238,001,939 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,960 | lean | -- Math 52: Week 4
import .utils.int_refl
-- Lakins Definition 1.2.1:
definition is_even (n : ℤ) := ∃ (k : ℤ), n = 2 * k
definition is_odd (n : ℤ) := ∃ (k : ℤ), n = 2 * k + 1
-- Lakins Definition 2.1.1:
definition divides (a b : ℤ) : Prop := ∃ (k : ℤ), a * k = b
-- The notation `a ∣ b` can be used for `divides a b`... |
76c9efdcc38f8bfd8ea374d0c4382f89902ee470 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/probability/integration.lean | 7a28eaab17b53e2e4480b7d15f440def121ad9f8 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 13,671 | lean | /-
Copyright (c) 2021 Martin Zinkevich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Martin Zinkevich, Vincent Beffara
-/
import measure_theory.integral.set_integral
import probability.independence
/-!
# Integration in Probability Theory
Integration results for ind... |
2161915d7cd975d2d36fad3f05141bfecc0eb7d6 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/init/algebra/group.lean | 1222ab6b2418695c0078f03f55ce42cd758acd68 | [
"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 | 15,768 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.logic init.algebra.classes init.meta init.meta.decl_cmds init.meta.smt.rsimp
/- Make sure instances defined in this file... |
421e26d83106fdd477ad76004b9e0c84f6e03f9c | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/polynomial/div.lean | c93dd99cb2008a79927577904fee7b6f193787cd | [
"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 | 20,835 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.monic
import ring_theory.multiplicity
/-!
# Division of univariate polynomials
The main defs are ... |
354b0c12c0e8db10386925d2754aad8a8aded22b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/subsemiring.lean | 8fe55de987fedcda9803b8992f4f1a69c279ed93 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,189 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.ring.prod
import group_theory.submonoid
import data.equiv.ring
/-!
# Bundled subsemirings
We define bundled subsemirings and some standard construc... |
c04baad814d571d3f8577cd1ba307c5607223b4d | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/sheaves/sheafify.lean | 8b3baf6f4c07cd2f021b5bb829a0d4aacbeeeffc | [
"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 | 4,419 | 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 topology.sheaves.local_predicate
import topology.sheaves.stalks
/-!
# Sheafification of `Type` valued presheaves
We construct the sheafification of a `Type` ... |
e678e6e586f252a9c4f89312d20cb11e7958502d | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/add_assoc.lean | ab4a875aa62294dbd15cdd50c025ee7e8b543c75 | [
"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 | 405 | lean | import tactic
using Nat
rewrite_set basic
add_rewrite add_zerol add_succl eq_id : basic
theorem add_assoc (a b c : Nat) : a + (b + c) = (a + b) + c
:= induction_on a
(show 0 + (b + c) = (0 + b) + c, by simp basic)
(λ (n : Nat) (iH : n + (b + c) = (n + b) + c),
show (n + 1) + (b + c) = ((n + 1) + b) + ... |
fe12163a2c8f9d9f45d3f552f3e3bf6676981f22 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/prime_spectrum/is_open_comap_C.lean | b8802891a5ab37089f0cfdc12a672ec3c57f38b0 | [
"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 | 3,171 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebraic_geometry.prime_spectrum.basic
import ring_theory.polynomial.basic
/-!
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a c... |
1d28813315d61dcf48136a7d3392c55d9d10aa0a | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/topology/metric_space/premetric_space.lean | c669634bd10aa9effa1a2510d3eda70d31d9487d | [
"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 | 3,506 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Premetric spaces.
Author: Sébastien Gouëzel
Metric spaces are often defined as quotients of spaces endowed with a "distance"
function satisfying the triangular inequality, but for which `d... |
c8f45d44b8583223f800d73f0aaad478ba53daf2 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/spectrum_of_a_ring/standard_basis.lean | 2e34d12c8806fd3ae64d9a49a9249dfd21df635a | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,160 | lean | /-
Standard opens form basis.
https://stacks.math.columbia.edu/tag/04PM
-/
import topology.basic
import to_mathlib.opens
import spectrum_of_a_ring.zariski_topology
import spectrum_of_a_ring.properties
universe u
open topological_space
local attribute [instance] classical.prop_decidable
section standard_basis... |
7931f7ed175afb4c41fced31cd4332f04f6fa82e | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/nonarchimedean/basic.lean | bd107e2fcb1cd2e3826b48dcd77eaaf482d78ddb | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 4,080 | lean | import topology.algebra.ring
import ring_theory.algebra
import ring_theory.ideal_operations
import tactic.abel tactic.chain
import for_mathlib.submodule
import for_mathlib.rings
import for_mathlib.nonarchimedean.open_subgroup
local attribute [instance] set.pointwise_mul_semiring
/--A topological group is non-archim... |
1aaeb072d97100b9b3c6991d0c8cc8f99c4627e9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/filter/pi.lean | d069ed0dcd5125ec49e88d02c172113e39fe6777 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 9,165 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Alex Kontorovich
-/
import order.filter.bases
/-!
# (Co)product of a family of filters
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file r... |
240ae5fcc814736bab3acaf485000575c72ea879 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/data/fin/default.lean | d3e08907ec76425027b7786deae3bc95ee96dac3 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 198 | lean | /-
Copyright (c) 2017 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.fin.basic
|
2d9d47826dfc5d83b18489053b94f8059a121357 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/logic/relator.lean | 5b4c783126e039dcef275a1eb031c106fb502183 | [
"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 | 3,835 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Relator for functions, pairs, sums, and lists.
-/
namespace relator
universe variables u₁ u₂ v₁ v₂
reserve infixr ` ⇒ `:40
/- TODO(johoelzl):
* should we introduce ... |
a4f52a7f91152143e94a1a256adf4bbd67e58c90 | 1e7164e9c5aacccd114777e0ea8f8201177f1289 | /src/traversals/geom_real_rec.lean | 101766fcdf491283c14d8b3ea5039fa262629884 | [] | no_license | floriscnossen/simplicial_sets_in_lean | e7cb1780474407668208ec5b8f19de7eb5936701 | c260d8196964bb288331bff7a3bfe24266792f0c | refs/heads/master | 1,685,636,159,913 | 1,624,118,064,000 | 1,624,118,064,000 | 352,801,219 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,977 | lean | import traversals.basic
import category_theory.currying
open category_theory
open category_theory.limits
open simplex_category
open sSet
open_locale simplicial
namespace traversal
namespace geom_real_rec
variables {n : ℕ}
def sSet_colimit {sh : Type*} [small_category sh] (diag : sh ⥤ sSet) :
colimit_cocone (diag... |
89b89d129d8c80a63a6d3dce4e8c1ebb3e6d9a50 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/vm.lean | 80f6d27e0c3466083024cc9e4b14c589e50087e4 | [
"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 | 6,958 | 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.control.option
import init.meta.mk_dec_eq_instance
meta constant vm_obj : Type
@[derive decidable_eq]
inductive vm_ob... |
cbaa5f36f27269a2bb1710e694da23492756d480 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/user_simp_attributes.lean | bdeaaaf3f350dccd9e30ae862a124ab17174d0e7 | [
"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 | 522 | lean | run_cmd mk_simp_attr `boo
run_cmd mk_simp_attr `bla
constant f : nat → nat
set_option trace.user_attributes_cache true
@[boo] lemma ex : ∀ x, f x = 1 :=
sorry
example : f 0 = 1 :=
by simp with boo
#print "----"
example : f 2 = 1 :=
by simp with boo
#print "----"
constant g : nat → nat
@[boo] lemma ex2 : ∀ x, g... |
f6ec7aa6d506efc908495cd562e0ba0ebfccae21 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Declaration.lean | 4ac13a136b72bc6070bff0088208434fe2a135cc | [
"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 | 17,175 | 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 ...)... |
c40dfae1e33eee775be854f5d946b2bf37bc17d2 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /library/theories/group_theory/quotient.lean | f265af55a2c43c7c6c146ddc954c6757079f522b | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 21,300 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Zipperer, Jeremy Avigad
We provide two versions of the quoptient construction. They use the same names and notation:
one lives in the namespace 'quotient_group' and the other li... |
e6f10f2476b5b8763aecd7144107d41e5fa3bc9e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/algebra_tower.lean | 8d019859161ba669221e53eea67bf5205ef49970 | [
"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 | 13,551 | 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.invertible
import ring_theory.adjoin.fg
import linear_algebra.basis
import algebra.algebra.tower
import algebra.algebra.restrict_scalars
/-!
# Towers of algebra... |
dee2a14fded94201a8a9a4ef0e79f1dfa8d48da8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/metric_space/thickened_indicator.lean | bc45cf672a098d2072e4727061dff275603a59fb | [
"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 | 11,344 | lean | /-
Copyright (c) 2022 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import data.real.ennreal
import topology.continuous_function.bounded
/-!
# Thickened indicators
This file is about thickened indicators of sets in (pseudo e)metric spac... |
f42bed03e137e5c978ce5516795803cf25a11333 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/to_string_auto.lean | 7a41fae4f8785542c5dcf56e6ece24356d468f7e | [] | 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 | 889 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.string.basic
import Mathlib.Lean3Lib.init.data.bool.basic
import Mathlib.Lean3Lib.init.data.subtype.... |
c0c26894ab5264b0414600dc18cda4e11bb89f72 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/expr1.lean | c5116762697268aecf1f94843328fbadf1286a59 | [
"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 | 4,219 | lean | import Lean.Expr
open Lean
def tst1 : IO Unit :=
do let f := mkConst `f [];
let a := mkConst `a [];
let b := mkConst `b [];
let t := mkAppN f #[a, b, b];
let as₁ := t.getAppArgs;
let as₂ := t.getAppRevArgs;
IO.println as₁;
IO.println as₂;
unless as₁.reverse == as₂ do throw $ IO.userErr... |
cccff1cff7153c3800b0561956cd200c7d484c5f | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/category/Top/adjunctions.lean | eab933877f42434bd44d66ac0c1ec433a1733713 | [
"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 | 1,073 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-/
import topology.category.Top.basic
import category_theory.adjunction.basic
universe u
open category_theory
open Top
namespace Top
/-- Equipping a ... |
8b44612e2bedb6cc07b9d1d92bb81c1742a827ab | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/sheaves/sheaf_condition/equalizer_products.lean | fc7026f122e635d5c096d3db0508b8c717a7b4b7 | [] | 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 | 12,059 | 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.topology.sheaves.presheaf
import Mathlib.category_theory.limits.punit
import Mathlib.catego... |
02cfa9877df84ab5c861c8428c8fd872858751db | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/Group/zero.lean | ff16c712bbe243b12fefde4978303b721e8ff924 | [
"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 | 1,068 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.basic
import category_theory.limits.shapes.zero
/-!
# The category of (commutative) (additive) groups has a zero object.
`AddCommGroup... |
b55e06b05ad4a87aa5855978426f4f0cc1e4eeb1 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/record9.lean | 3cf0c476dd21cc35a98ddb385900b1e641f8e38a | [
"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 | 111 | lean | constant fibrant : Type* → Prop
structure Fib : Type* :=
{type : Type*} (pred : fibrant type)
check Fib.mk
|
b01958e71fc032e291fa8c56cd4af5cd078d9546 | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /bluejam/topprover/10.lean | 4392e9b4b7be34647a4094c5edaf40b8788d5594 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,136 | lean | /-
Require Import List.
Fixpoint prefix_sum sum l :=
match l with
| nil => sum :: nil
| head :: tail => sum :: prefix_sum (sum + head) tail
end.
Fixpoint plus_list l1 l2 :=
match (l1, l2) with
| (nil, _) => nil
| (_, nil) => nil
| (h1 :: t1, h2 :: t2) => (h1 + h2) :: plus_list t1 t2
end.
Definition... |
d2d7349340433b5662bb1ca76c50863bbfa7f541 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/theories/group_theory/action.lean | 12f72aa843780e69234d7e44744ffa70ede5bc29 | [
"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 | 22,609 | 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... |
9bad29e8db291410cd966a081d6ee0795d6bf97c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/string/ops_auto.lean | 2eca37e79f0a83d43ee892289a3f94e02e5485cc | [] | 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 | 1,119 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.bool.lemmas
import Mathlib.Lean3Lib.init.data.string.basic
import Mathlib.Lean3Lib.init.meta.well_f... |
323b72688d818ff875433537a9be2e9aa49cfaa9 | 2272e503179a58556187901b8698b789fad7e0c4 | /src/adjunction_examples.lean | ff3fd8bd276f61472865c5a08a9e76d37f3b4825 | [] | no_license | kckennylau/category-theory | f15e582be862379453a5341d83b8cd5ebc686729 | b24962838c7370b5257e38b7648040aec95922bb | refs/heads/master | 1,583,605,043,449 | 1,525,154,882,000 | 1,525,154,882,000 | 127,633,452 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,057 | lean | import .adjunction .functor_examples
universes u v
namespace category
namespace examples
@[reducible] def Set_.free_forgetful : adjunction.{u+1 u} Set_ Set :=
adjunction.free_forgetful _
Set_.free
Set_.forgetful
(λ S P f, ⟨(plift.up $ unit_eq _ _,
λ t, option.rec_on t (P.2.2 punit.star) f),
... |
cff83f22b6479b97c70a743c898fe0239149625b | 4fa161becb8ce7378a709f5992a594764699e268 | /src/category_theory/epi_mono.lean | c60caa692e22aa2102b71204741a4c08ea35d277 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 6,281 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
Facts about epimorphisms and monomorphisms.
The definitions of `epi` and `mono` are in `category_theory.category`,
since they are used by some lemmas for `is... |
b37ac5dfabfb22564586da8c66047d02f59c969e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/uintMatch.lean | 8629d967082ac405d0fdf678621906f338063291 | [
"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 | 189 | lean | def f : UInt8 → Bool
| 5 => true
| _ => false
#eval f 8
#eval f 5
def g : UInt32 → String
| 5 => "hello"
| 1555 => "world"
| _ => "bla"
#eval g 5
#eval g 1555
#eval g 555
|
6ebae24af0f42c414f4de23dd63133445e17e438 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/group_theory/subgroup.lean | 09e9b122ef397ec866370dbfc3a638463da2801d | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 30,067 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro
-/
import group_theory.submonoid
open set function
variables {α : Type*} {β : Type*} {a a₁ a₂ b c: α}
... |
0153bdccd817cd9f07e4f780dea1d080e670af41 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/const.lean | 328f372ed284d4aebb254306c7aa2c5a860f8170 | [
"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 | 1,693 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.functor_category
import category_theory.isomorphism
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; see `category_theory.category`... |
8b930c22c7c4c19261d4280cba887ee6f6a44759 | f5373ccdc976e6390397d9f4220a74c76f706f4a | /src/examples/interactive_tactic_entry.lean | a1cbe9c1dc556e94412e33476d1f84e934989996 | [] | no_license | jasonrute/lean_gym_prototype | fcd91fdc454f9e351bbe258c765f50276407547e | ab29624d14e4e069e15afe0b1d90248b5b394b86 | refs/heads/master | 1,682,628,526,780 | 1,590,539,315,000 | 1,590,539,315,000 | 264,938,525 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 404 | lean | import lean_gym.server
-- set up server
meta def json_config : json_server lean_server_request lean_server_response := {
read_write := io_streams.stdin_stdout_streams,
get_json := json_server.get_custom_json, -- use custom format since faster
put_json := json_server.put_standard_json, -- use standard format ... |
5fda1c3f6abf530ea88514d244d30ac29cc0ad5f | 54f4ad05b219d444b709f56c2f619dd87d14ec29 | /my_project/src/love03_forward_proofs_demo.lean | dc375e81dc58a398bb17766d53cf26a6940e2099 | [] | no_license | yizhou7/learning-lean | 8efcf838c7276e235a81bd291f467fa43ce56e0a | 91fb366c624df6e56e19555b2e482ce767cd8224 | refs/heads/master | 1,675,649,087,737 | 1,609,022,281,000 | 1,609,022,281,000 | 272,072,779 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,641 | lean | import .love01_definitions_and_statements_demo
/-! # LoVe Demo 3: Forward Proofs
When developing a proof, often it makes sense to work __forward__: to start with
what we already know and proceed step by step towards our goal. Structured
proofs are a style that supports this reasoning. -/
set_option pp.beta true
n... |
c972a4cd7f9bd2d944c2bf3e4f00aea460b11bf3 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/fin/basic.lean | a5f7a3788fc1fdb314239cf5f6a8432377e303ce | [
"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 | 61,636 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import tactic.apply_fun
import data.nat.cast
import order.rel_iso
import tactic.localized
/-!
# The finite type with `n` elements
`fin n` is the type... |
70e95b4d4f31ee939d654bec92d6f26235fb27a6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/mk_has_reflect_instance_auto.lean | 7a2984f75ade3cff35da9b995f3e6892254dc57a | [] | 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 | 417 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Helper tactic for constructing a has_reflect instance.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.rec_util
namespace Mathlib
namespace tact... |
4759ed7798d6605865939f4bfc7717869a298353 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/nth_rewrite/congr.lean | 03adfc96cc3fd45c3aaea76c30311efe5015908e | [
"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 | 3,179 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Scott Morrison
-/
import tactic.core
import tactic.nth_rewrite.basic
namespace tactic
namespace nth_rewrite.congr
open nth_rewrite
/-- Helper function which just tries... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.