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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d4959e84123d808eb15b9b5e70fa371c713be389 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Data/Format.lean | 7476c600e0a74398c1ec71f195e5239b12e50cb3 | [
"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 | 1,700 | 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 Lean.Data.Options
universes u v
namespace Std
namespace Format
open Lean
def getWidth (o : Options) : Nat := o.get `format.width defWidth
def ge... |
6cc5506cf47b10be87afbf4209feb347afb7c62d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/equiv/denumerable.lean | 697e6cc86b7293912143e4df502322cc39d68f80 | [
"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 | 10,771 | 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 data.fintype.basic
import data.equiv.encodable.basic
import data.list.min_max
/-!
# Denumerable types
This file defines denumerable (countably infinite) type... |
bc3d0279ffc51e4ea3726196a639a1ef6dd9a35b | 00d2363f9655e2a7618f6b94dda7e2c4e5cf8d19 | /lean_modifications/print_tactic_state_flat.lean | 4f92ff9ffe74e5c992d0d13047b129b6681bbe16 | [
"Apache-2.0"
] | permissive | devjuice1/lean_proof_recording | 927e276e2ab8fb1288f51d9146dcfbf0d6444a87 | bf7c527315deccd35363fa7ca89d97d7b9cb6ac1 | refs/heads/master | 1,692,914,925,585 | 1,633,018,872,000 | 1,633,018,872,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,269 | lean | /- This is a staging area for code which will be inserted
into a Lean file.
The code to be inserted is between the line comments
`PR BEGIN MODIFICATION` and `PR END MODIFICATION`
It will be inserted by `insert_proof_recording_code.py`.
Insert info:
- file: `_target/lean/library/init/meta/tactic.lean`
- location... |
7a8139e64867d5912de00872e8f8eeff8c4ec4ba | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/ring_hom/integral.lean | d1cefb6682bd41b362ba387a3366477d1c59732f | [
"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 | 1,150 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.local_properties
import ring_theory.localization.integral
/-!
# The meta properties of integral ring homomorphisms.
-/
namespace ring_hom
open_local... |
5b14dceca5ae3fcb69add6df0bb5d74d0ad85eab | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /Papyrus/Script/GlobalModifiers.lean | 606b5354f5a1694f809bfbd78f16b00344101fce | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,806 | lean | import Lean.Parser
import Papyrus.IR.GlobalModifiers
namespace Papyrus.Script
open Lean Parser Term
-- ## Linkage
@[runParserAttributeHooks]
def linkageLit := leading_parser
nonReservedSymbol "external" <|>
nonReservedSymbol "available_externally" <|>
nonReservedSymbol "linkonce" <|>
nonReservedSymbol "linko... |
ccd1bebbcc9f8bc397bdf9c72fe59b0d2434007b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/algebra/equiv.lean | 09a946d990821fd165d83fdc9ef8f9ad5b5ed2e5 | [
"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 | 21,612 | 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.hom
/-!
# Isomorphisms of `R`-algebras
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
6d4c1bc1786ba043e85642e3ae012b228c711b57 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/data/array/default.lean | b427d36249cc44b42705184f6734d1e03f293728 | [
"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 | 219 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import init.data.array.basic init.data.array.slice
|
11916a02cb8b0404186d9816b6328aa68e42c208 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/specific_limits/floor_pow.lean | ac785503dbfbc105b91ac5e97710036f71986efd | [
"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 | 17,664 | 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 analysis.specific_limits.basic
import analysis.special_functions.pow
/-!
# Results on discretized exponentials
We state several auxiliary results pert... |
03c89a894817a0a4eacd14e1e11797623fd1c928 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/topology/opens.lean | 07a946eb5bf57812cc58e5d0afe38dbb3093e8fa | [
"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 | 6,302 | 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
Subtype of open subsets in a topological space.
-/
import topology.bases
import topology.separation
open filter
variables {α : Type*} {β : Type*} [topo... |
1907c2c9a0667e3fbb14dde07ed389882b38a13b | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/sheaves/sheaf_of_rings.lean | b7fbab04faf291364da4e2058039e2e8ee420b60 | [
"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 | 1,012 | lean | /-
Sheaf of rings.
https://stacks.math.columbia.edu/tag/0071
Author: Ramon Fernandez Mir
-/
import for_mathlib.sheaves.sheaf
import for_mathlib.sheaves.presheaf_of_rings
universes u
-- A sheaf of rings is essentially a sheaf of types because we assume that the
-- category of commutative rings has limits (pro... |
bc63a25e31623b333b51d308b324f4f0fb27125a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/default_auto.lean | f2b92577796a706e52560cbe23601638f58df7fe | [] | 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 | 786 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.terminal
import Mathlib.category_theory.limits.shapes.binary_products
import Mathlib.category_theory.limits.shapes.products
import Mathlib.category_theory.limits.shapes.finite_products
import Mathlib.category_theory... |
6cfe56c66fe676b42039824e1a232dbd05a9068f | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/meta/expr.lean | b585b0707c197c678d5364a996117dbc96abc04a | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,234 | lean | /-
Copyright (c) 2019 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek, Robert Y. Lewis
-/
import data.string.defs tactic.derive_inhabited
/-!
# Additional operations on expr and related types
Thi... |
25214bf85ef9c86841e498e55e6da2a723754b16 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/set/function.lean | fae6801c3fde4d091431e073035dde99a0acb9c0 | [
"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 | 15,606 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu, Yury Kudryashov
-/
import data.set.basic logic.function
/-! # Functions over sets
## Main definitions
* `eq_on f₁ f₂ s` : fun... |
d37d3820167cd91c1295164aa91befcce0d0c6cf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed_space/hahn_banach/extension.lean | 30d4c9802a94c9e6763c976f810b45988b64b9bf | [
"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 | 6,912 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Heather Macbeth
-/
import analysis.convex.cone.basic
import analysis.normed_space.is_R_or_C
import analysis.normed_space.extend
import data.is_R_or_C.lemmas
/-!
# Ext... |
7f3663a962953eeb4d9137364764e1e41de49c6a | 07f5f86b00fed90a419ccda4298d8b795a68f657 | /library/data/rbtree/main.lean | 62d6d3a957f21d49b4d09a4c69f919d945cdabfc | [
"Apache-2.0"
] | permissive | VBaratham/lean | 8ec5c3167b4835cfbcd7f25e2173d61ad9416b3a | 450ca5834c1c35318e4b47d553bb9820c1b3eee7 | refs/heads/master | 1,629,649,471,814 | 1,512,060,373,000 | 1,512,060,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,420 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.rbtree.find data.rbtree.insert data.rbtree.min_max
universes u
/- TODO(Leo): remove after we cleanup stdlib simp lemmas -/
local attribute [-si... |
6eead39c0834461f41a5f63bf826919cf5512ac2 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/data/nat/basic.lean | 460cc768ad18227b0ab6a02a2810695e6501221e | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 50,808 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
Basic operations on the natural numbers.
-/
import logic.basic algebra.ordered_ring data.option.basic
universes u... |
1bd4ac1fb07aaef459c704386d2500bd8bdd671f | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/data/option/basic.lean | ef8fd52c638f77077486d08387622a1213bb67e3 | [
"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 | 6,110 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import logic.basic data.bool data.option.defs tactic.basic
namespace option
variables {α : Type*} {β : Type*} {γ : Type*}
@[simp] theorem get_mem : ∀ {o : option α}... |
01f3ff728e88c3bb9d6946d16e977c582dea2ee2 | 8be24982c807641260370bd09243eac768750811 | /src/e_transcendental.lean | 402438d3c75a24383d7e4e769123dc7bd17730e4 | [] | no_license | jjaassoonn/transcendental | 8008813253af3aa80b5a5c56551317e7ab4246ab | 99bc6ea6089f04ed90a0f55f0533ebb7f47b22ff | refs/heads/master | 1,607,869,957,944 | 1,599,659,687,000 | 1,599,659,687,000 | 234,444,826 | 9 | 1 | null | 1,598,218,307,000 | 1,579,224,232,000 | HTML | UTF-8 | Lean | false | false | 75,344 | lean | import ring_theory.algebraic
import e_trans_helpers2
noncomputable theory
open_locale classical
open_locale big_operators
notation α`[X]` := polynomial α
def e : ℝ := real.exp 1
/-Definition
For any prime number $p$ and natural number $n$, we can define a polynomial
\[f_{p,n}:=X^{p-1}(X-1)^p\cdots(X-n)^p\]
-/
def f_... |
014aaef102c40d6c6913a3b27c1a838311c7bd52 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/uni2.lean | a557e76106b513568bbbccb9b7723c7ee06941b9 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,335 | lean | import logic
inductive nat : Type :=
| zero : nat
| succ : nat → nat
variable f : nat → nat
check @nat_rec
(*
local env = get_env()
local nat_rec = Const("nat_rec", {1})
local nat = Const("nat")
local f = Const("f")
local n = Local("n", nat)
local C = Fun(n, Prop)
local p = Local("p"... |
39c9c9524394a037ebc7135927c0594ded4ae344 | cc104245380aa3287223e0e350a8319e583aba37 | /src/testseq.lean | 71e14571d8c9c2d39885d7e224d260bf970e12b7 | [] | no_license | anca797/group-cohomology | 7d10749d28430d30698e7ec0cc33adbac97fe5e7 | f896dfa5057bd70c6fbb09ee6fdc26a7ffab5e5d | refs/heads/master | 1,591,037,800,699 | 1,561,424,571,000 | 1,561,424,571,000 | 190,891,710 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 318 | lean | import algebra.group -- for is_add_group_hom
import group_theory.subgroup -- for kernels
open set is_add_group_hom
def is_exact {A B C : Type*} [add_comm_group A] [add_comm_group B] [add_comm_group C]
(f : A → B) (g : B → C) [is_add_group_hom f] [is_add_group_hom g] : Prop :=
range f = ker g
#check is_exact |
366186a85868d19afccabf6e75d0f7f061a766e7 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/exterior_algebra/basic.lean | 649695e8e36e9d004a64807b36f4df9b283b8da1 | [
"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 | 12,187 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhangir Azerbayev, Adam Topaz, Eric Wieser
-/
import algebra.ring_quot
import linear_algebra.tensor_algebra.basic
import linear_algebra.alternating
import group_theory.perm.sign
/-!
# Ex... |
937a8f41fe0dd547ad310b3acbc4884033a230dd | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /hott/init/hedberg.hlean | aaff2c60e6b8bf4799af06319719b24ee800210b | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,510 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Hedberg's Theorem: every type with decidable equality is a hset
-/
prelude
import init.trunc
open eq eq.ops nat truncation sigma
-- TODO(Leo): move const col... |
4e901f7ef92525c9892f6e8ecf5ba8c58ddf4f3d | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Init/Data/List/Control.lean | 25dcf05b0b190c1b9b6bc968ae93fb5bab980471 | [
"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 | 5,938 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Basic
import Init.Control.Foldable
import Init.Data.List.Basic
namespace List
universes u v w u₁ u₂
/-
Remark: we can define `m... |
e1381e855ab89490e2d5c79c3674e2c6c0dd1095 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/playground/DiscrTree.lean | 7d856f177bab18e973e7e956507cea10318f144d | [
"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 | 9,357 | lean | import Lean.Format
open Lean
def List.insert {α} [HasBeq α] (as : List α) (a : α) : List α :=
if as.contains a then as else a::as
inductive Term
| var : Nat → Term
| app : String → Array Term → Term
instance : Inhabited Term := ⟨Term.var 0⟩
inductive Key
| var : Key
| sym : String → Nat → Key
instance : Inhabited ... |
2753f01aba4f2ccd8df7963f307f6fbf8af86ce1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /counterexamples/direct_sum_is_internal.lean | 08d293d5e7eb465328ba819690de0b660c2f68bb | [
"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 | 3,767 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Kevin Buzzard
-/
import algebra.direct_sum.module
import algebra.group.conj_finite
import tactic.fin_cases
/-!
# Not all complementary decompositions of a module over a sem... |
4958e8431794e8d60505ca70233ba600234c3a23 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /hott/hit/coeq.hlean | d88138c9ada6e2e3801af29f8574f75d1111c9c6 | [
"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 | 5,150 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the coequalizer
-/
import .quotient_functor types.equiv
open quotient eq equiv is_trunc sigma sigma.ops
namespace coeq
section
universe u
paramet... |
5929da110fe188ba0877d70b63cd9fb5b72a7a42 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/box_integral/partition/split.lean | 45dbc69989c9e18a1843c5045ee010d11d8afebb | [
"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 | 15,786 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.partition.basic
/-!
# Split a box along one or more hyperplanes
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file... |
c1afcaebb600b1c877ef553bcff4bdc956da128e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/group/basic.lean | 3f2c23ee18090682313fb0c1a1a5f608aeff026f | [
"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 | 20,631 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Simon Hudon, Mario Carneiro
-/
import algebra.group.defs
import data.bracket
import logic.function.basic
/-!
# Basic lemmas about semigroups, monoids... |
8bda9b398e57600fd4f49aed8313db9010d35c6b | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0502.lean | c58f70b17febc9e1ae7844156cd6e27529d96713 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 69 | lean | example (p q : Prop) (hp : p) : p ∨ q :=
by { left, assumption }
|
643b2a02334418599974ab3cc6e898e26c0ef9c6 | b186c784450e8bcbcf835ab3f10fa7e73f27bc2e | /chapter_3.lean | 585f0b9352278e76d0d5dbeb9e263c34ef43ad84 | [] | no_license | esclear/Learning-Lean | 9780a0efe769e275992cf3ab4ebf55809ec53b48 | d81d5c4743b94c96d8f1bb135e1f13a1d99b3154 | refs/heads/master | 1,593,312,896,806 | 1,565,904,243,000 | 1,565,904,243,000 | 200,125,941 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,425 | lean | namespace inner
constant and : Prop → Prop → Prop
constant or : Prop → Prop → Prop
constant not : Prop → Prop
constant implies : Prop → Prop → Prop
variables p q r : Prop
-- #check and p q -- Prop
-- #check or (and p q) r -- Prop
-- #check implies (and p q) (and q p) -- Prop
constant Proof : ... |
14a7a02e7dd9a2b6965cd363faf6ac3d2f8d3ea8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/gcd_auto.lean | abd090b6728d1961a6309cd6aca3004902c1f665 | [] | 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 | 6,219 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.multiset.lattice
import Mathlib.algebra.gcd_monoid
import Mathlib.PostPort
universes u... |
6f94d86cbf9a8ff613833d54f503b33a204a7959 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/maps.lean | fa11749940dd46d1e6ca5a61b1272c2290314729 | [
"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 | 17,610 | 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 topology.order
/-!
# Specific classes of maps between topological spaces
This file introduces the following properties of a m... |
665c3d0b5013cb7dbc0addd12a4a74bb125cdf5d | 46125763b4dbf50619e8846a1371029346f4c3db | /src/topology/uniform_space/completion.lean | 3d84ee1dc41e5618feb749b80f6e94d72efd9b32 | [
"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 | 23,322 | 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
Hausdorff completions of uniform spaces.
The goal is to construct a left-adjoint to the inclusion of complete Hausdorff uniform spaces
into all uniform... |
67ec3af94e4a589facf6f67c1fbb5e8e2cc6fc04 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/module/basic.lean | a96837882536e8e8ec6400155cc8558e63ebb1aa | [] | 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 | 18,235 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.big_operators.basic
import Mathl... |
abd2c888a9fffb5fbb7f17e33e00e2d83f632915 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/276.lean | 2b75e92c30dcb490642f47813bafb7a1ef90db57 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 459 | lean | universe u v
-- `Type u` version can be defined without this option, but I get the same error
set_option bootstrap.inductiveCheckResultingUniverse false in
inductive PEmpty : Sort u
-- `#check` works
set_option pp.all true in
#check fun {α : Sort v} => PEmpty.rec (fun _ => α)
-- but `def` doesn't work
-- error: (ker... |
e5c479b67bf82cd154143d03a4567849e2c7fcb3 | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/S4/vanilla.lean | 44d9c830e4ff3d23872e4fd39f295b62cedbf4f5 | [
"MIT"
] | permissive | minchaowu/ModalTab | 2150392108dfdcaffc620ff280a8b55fe13c187f | 9bb0bf17faf0554d907ef7bdd639648742889178 | refs/heads/master | 1,626,266,863,244 | 1,592,056,874,000 | 1,592,056,874,000 | 153,314,364 | 12 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 8,893 | lean | import .rules
open psum nnf node
set_option eqn_compiler.zeta true
def tableau : Π Γ : sseqt, node Γ
| Γ :=
match get_contra_seqt Γ with
| inl w := contra_rule_seqt w.2
| inr no_contra :=
match get_and_seqt Γ with
| inl w :=
let inst := and_instance_seqt.cons w.2 in
have h : prod.measure_lex... |
cfde05b696db6bd9494332b855b52ad2d887f48b | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/scc.lean | daf4384c839881720843c256cec6e294a06d0b2d | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 12,903 | lean | /-
Copyright (c) 2018 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Tactics based on the strongly connected components (SCC) of a graph where
the vertices are propositions and the edges are implications found
in the context.
They are used for... |
54cf845ae9b344f4a50d75583e0f347d0e7c8594 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/rewrite_search/search.lean | 9432852bd5625b007ea59c6f14c9a1625b98d94d | [
"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 | 8,631 | lean | /-
Copyright (c) 2020 Kevin Lacker, Keeley Hoek, Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Keeley Hoek, Scott Morrison
-/
import data.buffer.basic
import tactic.rewrite_search.discovery
import tactic.rewrite_search.types
/-!
# The g... |
2aa3633fa77cde933f1ffd8c1ce563ff7d2bc98f | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/topology/separation.lean | f39fe4f14d9b2155ac3f9fa834d0b7b4f5be404e | [
"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 | 17,808 | 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
Separation properties of topological spaces.
-/
import topology.subset_properties
open set filter
open_locale topological_space filter
local attribute ... |
66a0263f90e7a76ec306cdf4d076bbb5b0ffc910 | 3aad12fe82645d2d3173fbedc2e5c2ba945a4d75 | /src/data/serial/default.lean | 439a68988c39bd4ad3d494ed0e78724f47610fa3 | [] | no_license | seanpm2001/LeanProver-Community_MathLIB-Nursery | 4f88d539cb18d73a94af983092896b851e6640b5 | 0479b31fa5b4d39f41e89b8584c9f5bf5271e8ec | refs/heads/master | 1,688,730,786,645 | 1,572,070,026,000 | 1,572,070,026,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49 | lean |
import data.serial.derive data.serial.instances
|
5ebe05bd4e597537e28f7e974688e86feae17ea8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/geometry/manifold/algebra/lie_group.lean | 3dbdc94c3ee09f49056b91991d68d3b34e5cedf0 | [
"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 | 6,050 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import geometry.manifold.algebra.monoid
/-!
# Lie groups
A Lie group is a group that is also a smooth manifold, in which the group operations of
multiplication a... |
e929f04e7bc2e9c30cd43067e708ac1dba985125 | 1d265c7dd8cb3d0e1d645a19fd6157a2084c3921 | /src/other/set_exer.lean | 23953781a82a522e454351d9e833fecd53f5ab0c | [
"MIT"
] | permissive | hanzhi713/lean-proofs | de432372f220d302be09b5ca4227f8986567e4fd | 4d8356a878645b9ba7cb036f87737f3f1e68ede5 | refs/heads/master | 1,585,580,245,658 | 1,553,646,623,000 | 1,553,646,623,000 | 151,342,188 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 12,391 | lean | import data.set
import data.list
open set
open classical
variable U : Type
variables A B C D : set U
-- 1.
example : A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) :=
begin
apply ext,
assume x,
split,
assume h,
split,
cases h,
left, assumption,
right, exa... |
52a52cf49cbd36fad145693ce6f396e693eb3c71 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/data/fintype/basic.lean | 532fbfe6bd2e4affeca89b96feb6edea8510426d | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 40,171 | 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
import data.array.lemmas
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
/-- `fintype α` means that `α` is finite, i.e.... |
cf54f010857262f8b54b8f2008b11145ef57b6ee | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/star/self_adjoint.lean | a2a65697b3a5fa2785f64a2b317a7b72b02483d8 | [
"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 | 11,209 | lean | /-
Copyright (c) 2021 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import algebra.star.basic
import group_theory.subgroup.basic
/-!
# Self-adjoint, skew-adjoint and normal elements of a star additive group
This file defines `sel... |
0e5f555a3e9290a185f638227cd0a0089a8cab0e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/monoidal/Bimod.lean | 7ff041dcfd99e81ba19f1336b8a4ecac3db62e34 | [
"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 | 42,693 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Oleksandr Manzyuk
-/
import category_theory.bicategory.basic
import category_theory.monoidal.Mon_
import category_theory.limits.preserves.shapes.equalizers
/-!
# The c... |
414526999eaf1ef9f49acab10f22568ce667e359 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/normed/field/basic.lean | 56be2fce5eb61160ed1f1e43c5eb1d365c7292b8 | [
"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 | 39,666 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import analysis.normed.group.infinite_sum
import topology.algebra.module.basic
import topology.instances.ennreal
import topology.instances.rat
/-!
# ... |
ebbe8ff223b48d1ba5ba11d2b29b1f265b5d4f19 | 6c56e3fbe5d7711b66a3b46f1810b44cfa109768 | /src/day3.lean | e22ecca5571fb61d99227605c623a237908ec8f8 | [] | no_license | kodyvajjha/lean-mmc2021 | 015e7ba9d2f43397582d42ad282e88c8ce876dc3 | cc774208f9dc041cad4def289357301b4a0a8173 | refs/heads/master | 1,689,416,888,246 | 1,630,161,054,000 | 1,630,161,054,000 | 384,140,257 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 282 | lean | import data.nat.choose
open_locale big_operators
lemma sum_n_choose (n : ℕ) : ∑ k in finset.range n, k = n.choose 2 :=
begin
sorry
end
lemma imo_2019_qA3 (f : ℤ → ℤ) (hf : ∀ a b, f(2*a) + 2*f(b) = f(f(a + b))) :
f = 0 ∨ ∃ c : ℤ, ∀ x, f x = 2*x + c := sorry |
714a235ca6c9d832ea91f162279bd3c9d077bbaf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/order/upper_lower.lean | 792ad0b431a157a6cb293788da2d7d5f42396e48 | [
"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 | 4,210 | 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 algebra.order.upper_lower
import topology.algebra.group.basic
/-!
# Topological facts about upper/lower/order-connected sets
> THIS FILE IS SYNCHRONIZED WITH MAT... |
1312c6b0adab3643c48876e4028cadde9652d529 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/adjoin/fg.lean | 76874cf160f369bcf51040cb2977ed1fb2584f5c | [
"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 | 7,010 | 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 ring_theory.polynomial.basic
import ring_theory.principal_ideal_domain
import data.mv_polynomial.basic
/-!
# Adjoining elements to form subalgebras
This file develops ... |
a221787eac084f2baa18ff5f45ef8a9ffe02ae3c | d31b9f832ff922a603f76cf32e0f3aa822640508 | /src/hott/types/unit.lean | 8160b5acb70397b5f35c54459bee1dda41440665 | [
"Apache-2.0"
] | permissive | javra/hott3 | 6e7a9e72a991a2fae32e5764982e521dca617b16 | cd51f2ab2aa48c1246a188f9b525b30f76c3d651 | refs/heads/master | 1,585,819,679,148 | 1,531,232,382,000 | 1,536,682,965,000 | 154,294,022 | 0 | 0 | Apache-2.0 | 1,540,284,376,000 | 1,540,284,375,000 | null | UTF-8 | Lean | false | false | 1,673 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Theorems about the unit type
-/
import ..init
universes u v w
hott_theory
namespace hott
open hott.is_equiv hott.equiv option pointed is_trunc function unit
notat... |
1fbbf2d3e4049d15ec3327c8941e44ee5a534456 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/data/option/instances.lean | 35f6aa7a51f4e90aa6ac94e70a35bee838bad85f | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 1,035 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.option.basic
import init.meta.tactic
import init.category.lawful
universes u v
instance : is_lawful_monad option :=
{ id_map := λ... |
29ebadfa7939d3601c5e45bcbf6d31a9b1116627 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/data/nat/div.lean | 211cfa466d5267bfd4c4dd4a00928534f68a3dc7 | [
"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 | 26,536 | 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
Definitions and properties of div and mod. Much of the development follows Isabelle's library.
-/
import data.nat.sub
open eq.ops well_founded decidabl... |
dfa792cbdc21e031748d2914db3c4876fe0af691 | 6950a6e5cebf75da9b91f42789baf52514655111 | /tptp/simplification_tptp.lean | dfe5bb7c2b2649c32b1b8a0cce9ea6a2baffc9a8 | [] | no_license | phlippe/Lean_hammer | a6d0a1af09fbce0c58b801032099b9b91d49ecf0 | 2116279b9c6b334f5b661e4abf4561368cca2391 | refs/heads/master | 1,587,486,769,513 | 1,561,466,931,000 | 1,561,466,931,000 | 169,705,506 | 0 | 1 | null | 1,550,228,564,000 | 1,549,614,939,000 | Lean | UTF-8 | Lean | false | false | 3,224 | lean | import .tptp
import .translation_tptp
--####################
--## Simplification ##
--####################
meta def replace_term_in_list : list axioma → folterm → folterm → list axioma
| (x :: xs) old_term new_term := [⟨x.n, folform.replace_term x.f old_term new_term⟩] ++ (replace_term_in_list xs old_term new_term)
|... |
f794041fb911ce1ca20fcb595c43253f375c422b | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /hott/algebra/precategory/functor.hlean | 1aa02d6cb13056fc8458248aa3740fd5c28a6859 | [
"Apache-2.0"
] | permissive | guiquanz/lean | b8a878ea24f237b84b0e6f6be2f300e8bf028229 | 242f8ba0486860e53e257c443e965a82ee342db3 | refs/heads/master | 1,526,680,092,098 | 1,427,492,833,000 | 1,427,493,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,494 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.precategory.functor
Authors: Floris van Doorn, Jakob von Raumer
-/
import .basic types.pi .iso
open function category eq prod equiv is_equiv sigma sigma.ops is_trunc funext... |
916c3ab9b10de707b45c1d9e0a5da2bb6efffffc | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/precategory.hlean | b3a88b12c18f3a214d814b8d99d9b207a06a6930 | [
"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 | 12,115 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import types.trunc types.pi arity
open eq is_trunc pi equiv
namespace category
/-
Just as in Coq-HoTT we add two redundant fields to precategories: assoc' an... |
1d0575268a50d9265c87aca5ab4554f710bba52c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/category/Group/Z_Module_equivalence.lean | 5b0097f651da59b3fa90ecdc158560b15f291934 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,639 | 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.Module.basic
/-!
The forgetful functor from ℤ-modules to additive commutative groups is
an equivalence of categories.
TODO:
either use this ... |
ca67488c8cfa5adf26fdee0e59bb172d031b4845 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/field_type_mismatch.lean | 505fe2579fc9ba40cd77fc627fc2843e63ff8379 | [
"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 | 146 | lean | namespace test
instance : has_add nat :=
{add := nat.succ}
instance : semigroup nat :=
{mul := nat.add,
mul_assoc := trivial }
end test
|
9959abb8dd00561f50c7d61b9e313cff275d55d8 | 562dafcca9e8bf63ce6217723b51f32e89cdcc80 | /src/super/prover_state.lean | 3bd59c7ef618ad029b9e683f98914ff60d8329a6 | [] | no_license | digama0/super | 660801ef3edab2c046d6a01ba9bbce53e41523e8 | 976957fe46128e6ef057bc771f532c27cce5a910 | refs/heads/master | 1,606,987,814,510 | 1,498,621,778,000 | 1,498,621,778,000 | 95,626,306 | 0 | 0 | null | 1,498,621,692,000 | 1,498,621,692,000 | null | UTF-8 | Lean | false | false | 15,528 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .lpo .cdcl_solver
open tactic functor monad expr
namespace super
structure score :=
(priority : ℕ)
(in_sos : bool)
(cost : ℕ)
(age : ℕ)
namespace scor... |
ed517ddced8a8a700b6986fd51d3fc807eecb1ff | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/default.lean | 018efacaa35098708d9ef974d68cd2b418bc5b56 | [
"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 | 986 | 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.name init.meta.options init.meta.format init.meta.rb_map
import init.meta.level init.meta.expr init.meta.environment init.meta.attr... |
c271c9fbe6266b97f854d8b432af6ac7e07a957f | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/tactic/linarith.lean | 0dbb972bfdb6907f12ca96d71a9e044483b70550 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 31,312 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
A tactic for discharging linear arithmetic goals using Fourier-Motzkin elimination.
`linarith` is (in principle) complete for ℚ and ℝ. It is not complete for n... |
963444d65cc00f20586bf28fe2b67ad84e3ce0d1 | 200b12985a863d01fbbde6abfc9326bb82424a8b | /src/propLogic/Ex014.lean | 2d7e7206b8de0c7957aeafbcffd57688a19070d3 | [] | no_license | SvenWille/LeanLogicExercises | 38eacd36733ac48e5a7aacf863c681c9a9a48271 | 2dbc920feadd63bbc50f87e69646c0081db26eba | refs/heads/master | 1,629,676,667,365 | 1,512,161,459,000 | 1,512,161,459,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 378 | lean |
theorem Ex014(a b: Prop): a ∧ b ↔ b ∧ a :=
show a ∧ b ↔ b ∧ a , from iff.intro
(
assume H1:a ∧ b,
have A:a,from and.elim_left H1,
have B:b,from and.elim_right H1,
show b ∧ a, from and.intro B A
)
(
assume H1 : b ∧ a,
have A:b,from and.elim_left H1,
have B:a,from and.elim_right H1,
... |
4cde06db3662acf5003c6cf6c4df28e0929d8903 | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Data/Nat/Basic.lean | 901674de3da167b02a32b3bfa74504abc7a81647 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,204 | 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.Core
universes u
namespace Nat
@[extern "lean_nat_dec_eq"]
def beq : Nat → Nat → Bool
| zero, zero => true
| zer... |
b3d998fdcd7dbb63b77dbbb259862277b9d017aa | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/intervals/proj_Icc_auto.lean | 9686c084a3c7ab0c15f7f59e85bf24748bc1209e | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,980 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.intervals.basic
import Mathlib.PostPort
universes u_1 u_2... |
703e2cb2b7f914ae5665bb5a957d6570bb621ac3 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/combinatorics/simple_graph/degree_sum.lean | 795ded7bb0f87bd7386007bd9a39f2787c7e7102 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 6,021 | lean | /-
Copyright (c) 2020 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import combinatorics.simple_graph.basic
import algebra.big_operators.basic
import data.nat.parity
import data.zmod.parity
/-!
# Degree-sum formula and handshaking lemma
T... |
c8a1cfc25cc729c3a6adc18fe018386374d58e22 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/predicate/basic.lean | 5dc8f493c99353a0c969960057b931f678df4547 | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,887 | lean |
import util.logic
import util.category
import util.meta.tactic.basic
import util.meta.tactic.monotonicity
run_cmd do
mk_simp_attr `predicate,
mk_simp_attr `lifted_fn
namespace predicate
universe variables u u' u₀ u₁ u₂
variables {α : Sort u₀}
variables {β : Sort u₁}
variables {γ : Sort u₂}
variables {σ : Sort u'}
... |
78a2c8ac756981cbfc60c68247c00253f19983b1 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/polynomial/coeff.lean | 0a003a51380918e758bad3e4c4b9115a54e3d47f | [
"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 | 7,187 | 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.finset.nat_antidiagonal
import data.polynomial.basic
/-!
# Theory of univariate polynomials
The theorems inc... |
358f2b1f22faeb4289fbcd1c178ab88dbc10a93e | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Deriving/Util.lean | 0f8642271c46540ef139a8fbdfe10f7cf13ded41 | [
"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 | 6,922 | 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.Parser.Term
import Lean.Elab.Term
namespace Lean.Elab.Deriving
open Meta
def implicitBinderF := Parser.Term.implicitBinder
def instBinderF ... |
3fc67430ffd63320ae0320a4f5e10414da72b648 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/calculus/uniform_limits_deriv.lean | 80141f59049cc77d29f27d7a6c4bd553ebe4ea72 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 30,168 | lean | /-
Copyright (c) 2022 Kevin H. Wilson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin H. Wilson
-/
import analysis.calculus.mean_value
import analysis.normed_space.is_R_or_C
import order.filter.curry
/-!
# Swapping limits and derivatives via uniform convergence
... |
d98550864f27f4a4f00ed79f582f2332f5ed7d6f | 7b02c598aa57070b4cf4fbfe2416d0479220187f | /colim.hlean | 5aaf1b5b531b9a0067ce37183f53584722b8b7d1 | [
"Apache-2.0"
] | permissive | jdchristensen/Spectral | 50d4f0ddaea1484d215ef74be951da6549de221d | 6ded2b94d7ae07c4098d96a68f80a9cd3d433eb8 | refs/heads/master | 1,611,555,010,649 | 1,496,724,191,000 | 1,496,724,191,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,033 | hlean | -- authors: Floris van Doorn, Egbert Rijke
import hit.colimit types.fin homotopy.chain_complex .move_to_lib
open seq_colim pointed algebra eq is_trunc nat is_equiv equiv sigma sigma.ops chain_complex
namespace seq_colim
definition pseq_colim [constructor] {X : ℕ → Type*} (f : Πn, X n →* X (n+1)) : Type* :=
point... |
01e4db0461fb7e079170ac4920a7bfcf9635c0d3 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/topology/uniform_space/basic.lean | d968c4e1feda3d0304364720510764fa7c93be43 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 69,061 | 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.lift
import topology.separation
/-!
# Uniform spaces
Uniform spaces are a generalization of metric spaces and top... |
dc59ca599bdf00cd5b08ab0aa8a9d19ad4537f81 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /doc/monads/monads.lean | c8919709a616243f0a39a431b5031f77105de6a7 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 12,989 | lean | /-!
# Monads
Building on [Functors](functors.lean.md) and [Applicatives](applicatives.lean.md) we can now
introduce [monads](https://en.wikipedia.org/wiki/Monad_%28category_theory%29).
A monad is another type of abstract, functional structure. Let's explore what makes it different
from the first two structures.
## W... |
5d3440e5c59586a994053d55a7106179db7c56c3 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/RectangularBand.lean | 0b9f0785933b2dea2d2ea4b634ff7d052964100e | [] | 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 | 6,462 | 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 RectangularBand
structure RectangularBand (A : Type) : Type :=
(op : (A → (A → A)))
(associative_op : (∀ {x y z : A} , (op (op x y) z) = (op x (op y z))))
... |
ffdedc0f5f595738ccd18d8bca11ac0f24b446a0 | 92e157ec9825b5e4597a6d715a8928703bc8e3b2 | /src/mywork/hw4 solution.lean | 1b48813eae67745e4e00df84c2e69caa2bead4ab | [] | no_license | exb3dg/cs2120f21 | 9e566bc508762573c023d3e70f83cb839c199ec8 | 319b8bf0d63bf96437bf17970ce0198d0b3525cd | refs/heads/main | 1,692,970,909,568 | 1,634,584,540,000 | 1,634,584,540,000 | 399,947,025 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,038 | lean | --***SOLUTIONS***
-- 1
example : 0 ≠ 1 :=
begin
-- ¬ (0 = 1)
-- (0 = 1) → false
assume h,
cases h,
-- OR
--trivial,
end
-- 2
example : 0 ≠ 0 → 2 = 3 :=
begin
assume h,
have zeqz := eq.refl 0,
contradiction,
-- OR
--have f : false := h (eq.refl 0),
--exact false.elim (f),
end
-- 3
ex... |
53d6f6413d6da91a53ffdc9563760f06ba4a2f3d | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/algebra/direct_limit.lean | 0b32b820c94532d5bcc726fa89bc4d842b4cc7dd | [
"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 | 27,961 | lean | /-
Copyright (c) 2019 Kenny Lau, Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes
-/
import data.finset.order
import linear_algebra.direct_sum_module
import ring_theory.free_comm_ring
import ring_theory.ideal.operations
/-!
# Direct ... |
f0565efc89d4ca51b25a534bf6e6951283caa0b7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/measure_theory/integral/divergence_theorem.lean | 8210300518012de945a10a5b53b1b43a36b2ceda | [
"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 | 30,250 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.divergence_theorem
import analysis.box_integral.integrability
import measure_theory.integral.interval_integral
import data.set.interval... |
e084064081980a41ed970eb286c8b115300dedb9 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /analysis/complex.lean | 6b6f2cb12da16ea4d7596cd8d6f772f575015589 | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,104 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Topology of the complex numbers.
-/
import data.complex.basic analysis.metric_space analysis.real
noncomputable theory
open filter
namespace complex
-- TODO(Mario): t... |
2f1cbf5a4238b5a199d9f52dd64aed7f94886338 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/group/quotient.lean | 310046e0dd45d1133fcc816adc3f66ef0e30cb40 | [
"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 | 27,706 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Riccardo Brasca
-/
import analysis.normed_space.basic
import analysis.normed.group.hom
import ring_theory.ideal.quotient_operations
/-!
# Quotients of seminormed group... |
7e3b963e4150541542bf5f0d680d1f33d768007d | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/measure_theory/pi.lean | df8344f286c1d92e18ae5c8fd40ce9fb24c83756 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,436 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.prod
/-!
# Product measures
In this file we define and prove properties about finite products of measures
(and at some point, countable pr... |
94600c22cc468514cca0ee13bace103c5ff53c70 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /03_Propositions_and_Proofs.org.31.lean | 705b40d81993ffbe362fbc95558d24a020403f98 | [] | 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 | 212 | lean | /- page 42 -/
import standard
-- BEGIN
section
variables p q : Prop
example (H : p ∧ q) : q ∧ p :=
have Hp : p, from and.left H,
have Hq : q, from and.right H,
show q ∧ p, from and.intro Hq Hp
end
-- END
|
2a73f5df69623307bcaaa093091b54cb9c0c1a77 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /tactic/tidy.lean | b9ff2b03ff0d27fbac0ae380ece41e46fd4e9e48 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 2,808 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import tactic
import tactic.auto_cases
import tactic.chain
import tactic.interactive
namespace tactic
namespace tidy
meta def tidy_attribute : user_attribute :=... |
6d6b345ad4a78e697bf7b7f997c9396984e2ab3b | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/category/Mon/basic.lean | 9bb6f0ac41769d1c1ef4a81265b9919fed98a88d | [
"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 | 7,791 | 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.concrete_category
import algebra.punit_instances
/-!
# Category instances for monoid, add_monoid, comm_monoid, and add_comm_monoid.
We introd... |
b973ab59f6c3ffe7b5db63356dd02f784e564b3c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/group_theory/finiteness.lean | b8ffc51bd056455b1e9fc9cc42b192c6b2b0fd62 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 12,308 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import data.set.finite
import data.finset
import group_theory.quotient_group
import group_theory.submonoid.operations
import group_theory.subgroup.basic
/-!
# Fin... |
44dbbe23f5050018c9ebe4c3736e6b6d1b6d9734 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /tests/lean/run/concatElim.lean | 1ed372e5a3577c57451b5b5d8152e15cc64cf61b | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,693 | lean | universes u
def concat {α} : List α → α → List α
| [], a => [a]
| x::xs, a => x :: concat xs a
def last {α} : (xs : List α) → xs ≠ [] → α
| [], h => by contradiction
| [a], h => a
| _::a::as, h => last (a::as) (fun h => by injection h)
def dropLast {α} : List α → List α
| [] => []
| [a... |
dea7aae12f6e5f72ff05087cbe7482cffaf2f3dc | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/sym/sym2.lean | 2c6af4d99c6fa0e028d100aad68fd0631f0ad88b | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 15,641 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import data.sym.basic
import tactic.linarith
/-!
# The symmetric square
This file defines the symmetric square, which is `α × α` modulo
swapping. This is also known as th... |
05bc778a609785a867511a0b15a90ae04b2430cb | 359199d7253811b032ab92108191da7336eba86e | /src/instructor/lectures/lecture_11.lean | 4e6bebb1f56e4264369a720afe31aca4050918ae | [] | no_license | arte-et-marte/my_cs2120f21 | 0bc6215cb5018a3b7c90d9d399a173233f587064 | 91609c3609ad81fda895bee8b97cc76813241e17 | refs/heads/main | 1,693,298,928,348 | 1,634,931,202,000 | 1,634,931,202,000 | 399,946,705 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,487 | lean | /-
In this lecture we began to pull together the big
picture of the language of predicate logic, proofs,
reasoning principles (axioms, theorems proved from
them). For each logical connective and quantifier,
we have zero or more introduction and elimination
rules. You absolutely have to understand all of
them and be su... |
4483f4d2f52167ec95983f974bc354368ef2d960 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/field_theory/finiteness.lean | cdc4f478512eb6e8be075d1b3c53a1cdd361f3f4 | [
"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 | 4,155 | 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 ring_theory.finiteness
import linear_algebra.dimension
/-!
# A module over a division ring is noetherian if and only if it is finite.
-/
universes u v
open_loc... |
bae429c7e51964166ce961d0398f1e680c940fa9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/finite_limits_auto.lean | 17d9930f413bd856d3b6862d2397e2f3ea6edbac | [] | 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 | 7,076 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.basic
import Mathlib.category_theory.fin_category
import Mathlib.category_theo... |
490f0e183b40e747f2a7c24848249650a6a3186d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed_space/conformal_linear_map.lean | 1df1c824d807a98d60d72825e115748ffa25bffa | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 3,798 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import analysis.normed_space.basic
import analysis.normed_space.linear_isometry
/-!
# Conformal Linear Maps
A continuous linear map between `R`-normed spaces `X` and `Y... |
def8b27bf5d5490c0704a370dc6b9d4f542b28f0 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/homotopy/torus.hlean | 1f9da174cd1b0001ea7b46153b0655b00ade0816 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 3,547 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the torus
-/
import hit.two_quotient
open two_quotient eq bool unit equiv
namespace torus
open e_closure relation
definition torus_R (x y : ... |
577bfcdaddbaf2e10f866b7847188f4b0f990bdc | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/new_compiler.lean | 92c532e7ad6949ae432e71dc895c7009e9821746 | [
"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 | 1,777 | lean | universes u v w r s
set_option trace.compiler.stage1 true
-- setOption pp.implicit True
set_option pp.binder_types false
set_option pp.proofs true
def foo (n : Nat) : Nat :=
let x := Nat.zero;
let x1 := Nat.succ x;
let x2 := Nat.succ x1;
let x3 := Nat.succ x2;
let x4 := Nat.succ x3;
let x5 := Nat.succ x4;
let x6 := N... |
8a3fe89b1782ae7b2fef6496fe82f107a49a1cc1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/internal_names.lean | 40e6eb8b588e61f45c18f87c0762e3eb33c1ad83 | [
"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 | 108 | lean | definition _foo : nat := 0 -- error
structure _bla := (a b : nat)
inductive _empty : Type.
namespace _no
|
82d34e260616697a7f337a853a67af2495c23231 | f7315930643edc12e76c229a742d5446dad77097 | /library/init/tactic.lean | 41fe839323c824d5436fc4a0b453fd05ea35db45 | [
"Apache-2.0"
] | permissive | bmalehorn/lean | 8f77b762a76c59afff7b7403f9eb5fc2c3ce70c1 | 53653c352643751c4b62ff63ec5e555f11dae8eb | refs/heads/master | 1,610,945,684,489 | 1,429,681,220,000 | 1,429,681,449,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,760 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.tactic
Author: Leonardo de Moura
This is just a trick to embed the 'tactic language' as a Lean
expression. We should view 'tactic' as automation that when execute
produces... |
824335112ec8a0ef2fe6714c29e2b58061b2f309 | f10d66a159ce037d07005bd6021cee6bbd6d5ff0 | /mason_stother.lean | 255a5131ffc23b46954acec5fcd7c352e1b92761 | [] | no_license | johoelzl/mason-stother | 0c78bca183eb729d7f0f93e87ce073bc8cd8808d | 573ecfaada288176462c03c87b80ad05bdab4644 | refs/heads/master | 1,631,751,973,492 | 1,528,923,934,000 | 1,528,923,934,000 | 109,133,224 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 38,007 | lean |
#exit
-- the to be Mason-Stother formalization
-- Authors Johannes & Jens
--Defining the gcd
import poly
import unique_factorization_domain
import data.finsupp
import algebraically_closed_field
import poly_over_UFD
noncomputable theory
local infix ^ := monoid.pow
local notation `d[`a`]` := polynomial.derivative a
... |
889e4a86c91a03f3d5b1e60b17327c0e4a0d7649 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/order/sub.lean | b5e5a9aecdb5fa6c065593026d07184cca886156 | [
"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 | 29,313 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import algebra.order.monoid
/-!
# Ordered Subtraction
This file proves lemmas relating (truncated) subtraction with an order. We provide a class
`has_ordered_sub... |
6b2d1d3ee9e12ec4085aa7f3104789260cd4673a | 67dc347ff8e6eaa780fd69518f3e69b2fa5eef96 | /src/smt2/except.lean | 5bc0ec3a4df0cf68dd50fd6856ce93c8277934de | [
"Apache-2.0"
] | permissive | Kha/smt2_interface | 74589568b30d32a500fb3a9abb299a28f19d75e9 | d92be33fbf4d56e3745e255ab423ba8da7d7695b | refs/heads/master | 1,619,785,421,091 | 1,518,453,826,000 | 1,518,453,826,000 | 121,273,425 | 0 | 0 | null | 1,518,453,882,000 | 1,518,453,882,000 | null | UTF-8 | Lean | false | false | 4,879 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jared Roesch
-/
/- FIXME(@jroesch): remove this after the native compiler branch is merged. -/
universes u v
inductive except (ε α : Type u)
| error {} : ε → except
| ok {} :... |
7b834ba821c2ce28cb9f113c32440c8566302e95 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/ring_theory/polynomial/rational_root.lean | 61dc74f2b5c16a6ee0a3c3d34f243384dab96852 | [
"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 | 5,006 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.polynomial.scale_roots
import ring_theory.localization
/-!
# Rational root theorem and integral root theorem
This file contains the rational root theo... |
ea186fde0777d2b2cc528fe0d6a0f722e5435667 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/init/wf.lean | 0dee4c7f3868585678a9e1ef1b59bc4575963ee5 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,922 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.wf
Author: Leonardo de Moura
-/
prelude
import init.relation
inductive acc {A : Type} (R : A → A → Prop) : A → Prop :=
intro : ∀x, (∀ y, R y x → acc R y) → acc R x
namesp... |
f72000eac63f39a32d87c31ebcbf1bfc22ffc60b | 0003047346476c031128723dfd16fe273c6bc605 | /src/analysis/normed_space/basic.lean | 35a6c8d558d3dd984456a21d97881c1d8c2590af | [
"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 | 20,115 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Normed spaces.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.pi_instances
import linear_algebra.basic
import topology.instances.nnreal
variables {α : Type*} {β : Type*} {γ : Type*... |
abb86fa3ba8e7492a0ab9d1385fad13e790efcea | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/SizeOfLemmas.lean | 4fbda63e56b335b157b5bdcb5bef6295eb0b3a05 | [
"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 | 1,207 | lean | /-
Copyright (c) 2022 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
import Init.SizeOf
import Init.Data.Nat.Linear
@[simp] protected theorem Fin.sizeOf (a : Fin n) : sizeOf a = a.val + 1 := by
cas... |
bd34b5b886c4cf63ff7a411e9d5223c8faf7244a | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/LCNF/DependsOn.lean | bbec31594f387d1c689b36f4455594a954e1249a | [
"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 | 1,261 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.Basic
namespace Lean.Compiler.LCNF
private abbrev M := ReaderT FVarIdSet Id
private def fvarDepOn (fvarId : FVarId) : M Bool :=... |
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