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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
cb182da2c38c962c718b4001651cf12952f1148a | 7c92a46ce39266c13607ecdef7f228688f237182 | /src/Spa/rational_open_data.lean | 57e3b0740c85e22108b19c23c2c9d0398dc6eb4b | [
"Apache-2.0"
] | permissive | asym57/lean-perfectoid-spaces | 3217d01f6ddc0d13e9fb68651749469750420767 | 359187b429f254a946218af4411d45f08705c83e | refs/heads/master | 1,609,457,937,251 | 1,577,542,616,000 | 1,577,542,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,689 | lean | import for_mathlib.group -- some stupid lemma about units
import Spa.space
import Huber_ring.localization
/-!
# Rational open subsets and their properties
We define a preorder on `rational_open_data` that will be used when
constructing the valuations on the stalks of the structure presheaf.
-/
open_locale classical... |
31f4ce49918eacda662a334c2abccbf06e358953 | 5a6ff5f8d173cbfe51967eb4c96837e3a791fe3d | /mm0-lean/x86/hla.lean | 5a2e0f70f6a9d4b93708a49203a59397461f4d64 | [
"CC0-1.0"
] | permissive | digama0/mm0 | 491ac09146708aa1bb775007bf3dbe339ffc0096 | 98496badaf6464e56ed7b4204e7d54b85667cb01 | refs/heads/master | 1,692,321,030,902 | 1,686,254,458,000 | 1,686,254,458,000 | 172,456,790 | 273 | 38 | CC0-1.0 | 1,689,939,563,000 | 1,551,080,059,000 | Rust | UTF-8 | Lean | false | false | 36,246 | lean | import .lemmas
-- High level assembly: a view of x86 that abstracts
-- the shape of memory a bit
namespace hla
def data := list byte
open x86
def disjoint_block : qword Γ β β qword Γ β β Prop
| (a, n) (b, m) := a.to_nat + n β€ b.to_nat β§ b.to_nat + m β€ a.to_nat
structure hla :=
-- a list of disjoint memory blocks, ... |
f5a881de764bba14f557e045fa75894a2925242b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/polynomial.lean | 137e4e431d706d9eed31470de6759810b52abfed | [] | 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 | 5,975 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.algebra_map
import Mathlib.data.polynomial.div
import Mathlib.topology.met... |
2559f0ac97e72c1eeaada9cd995eb5f7cd0ab3f4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/game/basic.lean | d1f574448fbedb35d3403d806c1b5076d113c1b7 | [
"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 | 28,744 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison, Apurva Nakade
-/
import set_theory.game.pgame
import tactic.abel
/-!
# Combinatorial games.
> THIS FILE IS SYNCHRONIZE... |
c65f8fcc1370654abda6fff5d251de6a77389cf8 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast24.lean | 2c9009dcd708db8c0128413d8df54e042f58db7c | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 749 | lean | -- Basic (propositional) forward chaining with clauses
constants (A B C D E : Prop)
set_option blast.recursor false
definition lemma1 : A β (A β¨ B β C) β C := by blast
definition lemma2 : B β (A β¨ B β C) β C := by blast
definition lemma3 : A β B β (A β B β¨ C β D) β D := by blast
definition lemma4 : A β B β (A β B β¨ C ... |
5a1f1322ee774f222f1adccef911371e05da0c31 | 67190c9aacc0cac64fb4463d93e84c696a5be896 | /Exercises/12. Sets in Lean.lean | b440acc7ba18f74646202f13cee3ca2657c8841c | [] | no_license | lucasresck/Discrete-Mathematics | ffbaf55943e7ce2c7bc50cef7e3ef66a0212f738 | 0a08081c5f393e5765259d3f1253c3a6dd043dac | refs/heads/master | 1,596,627,857,734 | 1,573,411,500,000 | 1,573,411,500,000 | 212,489,764 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,579 | lean | import data.set
section
variable U : Type
variables A B C : set U
example : β x, x β A β© C β x β A βͺ B :=
assume x,
show x β A β© C β x β A βͺ B, from
assume h1 : x β A β© C,
show x β A βͺ B, from or.inl h1.left
example : β x, x β -(A βͺ B) β x β -A :=
assum... |
4b1336ea0f65d96a56bb7dd7286ff6c828b5e795 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/metric_space/basic.lean | 88f4c5e8b3198f8405deaf6db50f857826450888 | [
"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 | 95,669 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes HΓΆlzl, Mario Carneiro, SΓ©bastien GouΓ«zel
-/
import topology.metric_space.emetric_space
import topology.shrinking_lemma
import topology.al... |
dfe27c9db425e7e41eacda8bbf82e4a7092d6acb | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/defs.lean | c97971e4b7099e1e45cfbba1d938cf6f285ff8f8 | [
"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 | 20,092 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
Extra definitions on lists.
-/
import data.option.defs
import logic.basic
import tactic.cache
n... |
21cbe3e4bbfd65588c649f27ee540ab5783ab13c | 6e36ebd5594a0d512dea8bc6ffe78c71b5b5032d | /src/mywork/Lectures/lecture_12.lean | b1978eb746266c9ce83eb6e8bf5596eed1cdf5d9 | [] | no_license | wrw2ztk/cs2120f21 | cdc4b1b4043c8ae8f3c8c3c0e91cdacb2cfddb16 | f55df4c723d3ce989908679f5653e4be669334ae | refs/heads/main | 1,691,764,473,342 | 1,633,707,809,000 | 1,633,707,809,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 578 | lean |
/-
A simple predicate.
-/
def ev (n : β) : Prop := n%2=0
def np5d12 (n : β) : Prop := (n+5)%12 = 0
/-
Introduction rule for exists
-/
example : exists (n : β), ev n :=
begin
end
example : exists n, ev n := _
example : exists (a b c : β), a*a + b*c = c*c :=
begin
end
example : β (n : β), β (m : β), n = 2 * ... |
ca0255e0474b57293c0d51ec5cb76cc4f8aa31d3 | 274748215b6d042f0d9c9a505f9551fa8e0c5f38 | /src/data/type/basic.lean | a7854422f909e94451f89f90b58682875b97621b | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/M4P33 | 878ecb515c77d20cc799ff1ebd78f1bf4fd65c12 | 1a179372db71ad6802d11eacbc1f02f327d55f8f | refs/heads/master | 1,607,519,867,193 | 1,583,344,297,000 | 1,583,344,297,000 | 233,316,107 | 59 | 4 | Apache-2.0 | 1,579,285,778,000 | 1,578,788,367,000 | Lean | UTF-8 | Lean | false | false | 162 | lean | -- ha ha, it was type theory all along,
-- and the actual import is set theory
import data.set.basic
-- We will use our powers of notation to hide this from you
|
5f1fbdb29090681a32b1d3adff0d331c47a8eed5 | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/breen_deligne/homotopy.lean | a3786eed0b9f03a273b85b02395bfd68dafbddc8 | [] | 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 | 4,914 | lean | import algebra.homology.homotopy
import breen_deligne.category
import breen_deligne.suitable
namespace breen_deligne
open category_theory category_theory.limits free_abelian_group homological_complex FreeMat
open_locale big_operators nnreal zero_object
namespace data
variables (BD : data)
-- generalize this to ... |
c50af44a16f513ac7c9a99c39ce3e0e2e719202e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/witt_vector/verschiebung.lean | f280e110e62cdc40149f9558e026700250cf5c9a | [
"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 | 5,869 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
/-!
## The Verschiebung operator
## References
* [Hazewinkel, *Witt Vectors*][Haze09]... |
7114565ee01c66c41c6028bccc26a3b87c8da1a8 | fe84e287c662151bb313504482b218a503b972f3 | /src/combinatorics/card_interval.lean | be758fa5a3f70ee77b7694cae3ca4b1c2488928e | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,398 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
-/
import data.fintype.basic
import data.nat.interval
namespace combinatorics
/- @latex: defn_intervals -/
def Ico (n m : β) : finset β := (finset.Ico n m)
def Icc... |
3a682ce61eaf1aa27db4d0188a124f69f2cb72c1 | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/real.lean | ff3423af7bdfddae4f6259c4913f8ca7a617e6ac | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 12,943 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
ed70609fc733afd7c86dfaf5c0a4f8021e3e1cf8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/big_operators/ring.lean | be56dcb62e8b361d65e14bf4585e9fe9e4af4096 | [
"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 | 9,930 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
-/
import algebra.big_operators.basic
import data.finset.pi
import data.finset.powerset
/-!
# Results about big operators with values in a (semi)ring
We prove results... |
3bef28943730dcc6bd7b309c3fe01a3d8a3a5ee7 | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/eval/hertzEval.lean | 074064a1c22f70b4e28f5861543ccb1f41cb49ec | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 523 | lean | import ..imperative_DSL.environment
open lang.classicalHertz
attribute [reducible]
def classicalHertzEval : lang.classicalHertz.spaceExpr β environment.env β classicalHertz
| (lang.classicalHertz.spaceExpr.lit V) i := V
| (lang.classicalHertz.spaceExpr.var v) i := i.h.sp v
attribute [reducible]
def classicalHertzQu... |
47aa37b4365992ee33c0c731f1950f1c15faeacb | 217bb195841a8be2d1b4edd2084d6b69ccd62f50 | /library/init/data/hashmap/basic.lean | 88c0babad0a4ad3820c71b4ac0ee1fe9dcaf3257 | [
"Apache-2.0"
] | permissive | frank-lesser/lean4 | 717f56c9bacd5bf3a67542d2f5cea721d4743a30 | 79e2abe33f73162f773ea731265e456dbfe822f9 | refs/heads/master | 1,589,741,267,933 | 1,556,424,200,000 | 1,556,424,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,085 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.array.basic init.data.assoclist
import init.data.option.basic init.data.hashable
universes u v w
def HashMapBucket (Ξ± : Type u) (Ξ² ... |
ff9105f87837aa1410c3ee5499a31d1f6dc5a0ca | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/ring/basic.lean | abce6dffdc9bbbc85e0a99700f03b7d4ca31801f | [
"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 | 54,498 | 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, Floris van Doorn, Yury Kudryashov, Neil Strickland
-/
import algebra.divisibility
import algebra.regular.basic
import data.int.cast.defs
import data.pi... |
21e323c2ad6258ff9c39e56340780414c3a19d45 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/analysis/normed_space/operator_norm.lean | c8f860e1fe864a0d2bc449be0302f601b34afee4 | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 11,860 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow
The space of bounded linear maps
Define the set of bounded linear maps between normed spaces and show basic facts about it. In
particular
(*) define a set L(E,F... |
dc7462eb54bde6191a63ea8174d51c0bda0e689f | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/measure/complex_lebesgue.lean | 07066e07eec813a282b096955ae98ede14c0f901 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 1,636 | 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 measure_theory.measure.lebesgue
import measure_theory.measure.haar_of_basis
/-!
# Lebesgue measure on `β`
In this file we define Lebesgue measure on `β`. S... |
d7dec67bc046dc03e53da618cf00c3cbccef5bd1 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Compiler/NeverExtractAttr.lean | 2aabdd9f4fe3dd8bc07b6cd88f7332d67451e9e8 | [
"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 | 994 | 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
-/
prelude
import Init.Lean.Environment
import Init.Lean.Attributes
namespace Lean
def mkNeverExtractAttr : IO TagAttribute :=
registerTagAttribute `neverExt... |
1a213dc93bfb08c84dd346076baabe490c46720e | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/topology/basic.lean | 1370106c58a2c1de6bb3571c1a43229b0eb12c33 | [
"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 | 55,045 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Jeremy Avigad
-/
import order.filter.ultrafilter
import order.filter.partial
import data.support
noncomputable theory
/-!
# Basic theory of topologica... |
030aaf8eb793c7f13e111169c68384da709614e3 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /tests/lean/run/run_tactic1.lean | 75fd8e4f2e2da57e1d400767ae86d36f50f7fe51 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 724 | lean | open tactic
run_command tactic.trace "hello world"
run_command do
N β to_expr `(nat),
v β to_expr `(10),
add_decl (declaration.defn `val10 [] N v reducibility_hints.opaque tt)
vm_eval val10
example : val10 = 10 := rfl
meta definition mk_defs : nat β command
| 0 := skip
| (n+1) := do
N β to_expr `(nat),
... |
f30b63d4258f23ab4e74ec381604d8d59f747777 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/ring/basic.lean | e68b3d9722712b2c369f188927fba8f3d294ecec | [
"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 | 38,141 | 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, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland
-/
import algebra.divisibility
import data.set.basic
/-!
# Properties and homomo... |
052a4425490cebc93b8c17298315214520c265c6 | a3416b394f900e6d43a462113bf00eecea016923 | /src/compactness.lean | dd61fb8ad032882b4e0cf046a1c6cc8fcd7e7b20 | [] | no_license | Nolrai/non-standard | efe17e1e97db75ec1a26aed2623e578ec8881c51 | 2a128217005a0c9eef53e7c24c6637d0edcf3151 | refs/heads/master | 1,682,477,161,430 | 1,604,790,441,000 | 1,604,790,441,000 | 359,366,919 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,811 | lean | import data.vector
import tactic
import data.finset
structure FirstOrder :=
(rels : Type) (funs : Type) (cons : Type)
structure model_in (π : FirstOrder) :=
(A : Type)
(A_is_inhabited : inhabited A)
(on_rels : π.rels β A β A β Prop)
(on_funs : π.funs β A β A β A)
(on_cons : π.cons β A)
section
indu... |
21dca5fd397a458ba14fcc400a6abfeffe912f3a | e38e95b38a38a99ecfa1255822e78e4b26f65bb0 | /src/certigrad/sprog.lean | 28d7e81c55b5e8566cc30274a7c04fd51168e28e | [
"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 | 2,091 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Stochastic programs.
An `sprog` represents an abstract stochastic computation, in which all primitive stochastic choices
are reified. We denote an `sprog` to a PDF to rea... |
9dd4bf5a19d489ef613bacf8d7555bc67810b967 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/library_search/exp_le_exp.lean | 48a63262879eb030b1b32b3af0ebc3fd769b0f41 | [
"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 | 262 | lean | import tactic.suggest
import analysis.special_functions.exp_log
open real
/- Turn off trace messages so they don't pollute the test build: -/
set_option trace.silence_library_search true
example {a b : β} (h: a β€ b) : exp a β€ exp b := by library_search
|
9997a3d5b187682e65851e25dfa67cd643ae403e | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0309.lean | 681ac694f74326782bfda5f541120fa293dc8e6f | [] | 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 | 91 | lean | example (p q : Prop) : p β§ Β¬ p β q :=
begin
intro h,
cases h,
contradiction
end
|
f4a5fabb6a6ae2a38e5a969ad89ca2f141d0fc63 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Init/System/ST.lean | 6db6e016bfc82ae8e864782f8f4552c5359c020c | [
"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 | 4,370 | 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
-/
prelude
import Init.Control.EState
import Init.Control.Reader
def EST (Ξ΅ : Type) (Ο : Type) : Type β Type := EStateM Ξ΅ Ο
abbrev ST (Ο : Type) := EST Empty ... |
132362d951fe91f14d919df402fd99938c155843 | f57749ca63d6416f807b770f67559503fdb21001 | /library/data/set/function.lean | eecb840ca3be3019dacd2c0ac1858c5a126c5018 | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,581 | 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
Functions between subsets of finite types.
-/
import .basic
open function eq.ops
namespace set
variables {X Y Z : Type}
abbreviation eq_o... |
cf90393f6847c6763ee1575dafeff6b72887b7b1 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/aops/2015-IMO-Problem_5.lean | c61594df4adbb78d2abe11aa01a330256650ab47 | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 453 | lean | import data.real.basic
import analysis.special_functions.pow
/-- Let <math>\mathbb{R}</math> be the set of real numbers. Determine all functions <math>f</math>:<math>\mathbb{R}\rightarrow\mathbb{R}</math> satisfying the equation
<math></math>
for all real numbers <math>x</math> and <math>y</math>.
--/
theorem exo... |
9b08c308155f4fba436d253212a044234487e8d5 | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/measure_theory/content.lean | fa0e6c33ca914fc5daa961048d3aa048195cb243 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,892 | 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.measure_space
import measure_theory.regular
import topology.opens
import topology.compacts
/-!
# Contents
In this file we work with *conte... |
8277651a525289a5555d8276210c0581acd0ba76 | 3bd26f8e9c7eeb6ae77ac4ba709b5b3c65b8d7cf | /calc-test.lean | 2939be7d6bdc04843744400d4416e1d1dd6ee18a | [] | no_license | koba-e964/lean-work | afac5677efef6905fce29cac44f36f309c3bcd62 | 6ab0506b9bd4e5a2e1ba6312d4ac6bdaf6ae1594 | refs/heads/master | 1,659,773,150,740 | 1,659,289,453,000 | 1,659,289,453,000 | 100,273,655 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,246 | lean | example : forall n m: nat, n + m = m + n :=
begin
intros n,
induction n with n' ih,
show forall m, 0 + m = m + 0,
{
intro m,
induction m with m' ih2,
show 0 + 0 = 0 + 0, { reflexivity },
show 0 + (m' + 1) = (m' + 1) + 0,
calc
0 + (m' + 1) = (0 + m') + 1 : by reflexivity
.... |
0f3dc8baa341af92d60c6fd552e3385d9a4f67ac | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/galois_stdlib/src/galois/data/option.lean | 8593c150ca72f9889767affc9508c673023437a5 | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 1,656 | lean |
namespace option
section
parameter {Ξ± : Type _}
/- Is some as a Prop instead of Boolean -/
inductive is_some_prop : option Ξ± β Prop
| intro (x:Ξ±) : is_some_prop (option.some x)
open decidable
instance is_some_prop.decidable : Ξ (x:option Ξ±), decidable (is_some_prop x)
| none := is_false (by { intro p, cases p, })
... |
8a39722961befefd2ae4c41fcf2fc00d9f3b735d | 597e185014db6ce8a949dac0322798f11218338b | /src/number_theory_q5.lean | c22aefae2cd80f7de9c95d2a9581d7efcbe1f55e | [] | no_license | b-mehta/lean-experiments | 58ce21c7106dfde163c236175fee30b341ba69ee | 5f0aed189f724ae6f739ec75dcdddcd2687614e1 | refs/heads/master | 1,598,987,002,293 | 1,576,649,380,000 | 1,576,649,380,000 | 219,032,370 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,705 | lean | import data.nat.basic
import data.nat.prime
import tactic.norm_num
open nat
-- https://www.dpmms.cam.ac.uk/study/II/NumberTheory/2019-2020/number_theory-19-1.pdf
-- A proof of question 5 from here
lemma division_lemma { a n : β } ( ha : a β₯ 1 ) : a - 1 β£ a ^ n - 1 :=
begin
apply dvd_of_mod_eq_zero,
induction n w... |
d388be52997be9e8d6f1a4a2fae0c591db4a5d91 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Meta/ExprDefEq.lean | 43f5557e43baa8e3417a487789c0db7000d37d70 | [
"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 | 61,881 | 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.ProjFns
import Lean.Structure
import Lean.Meta.WHNF
import Lean.Meta.InferType
import Lean.Meta.FunInfo
import Lean.Meta.LevelDefEq
import Lean.... |
8f32149ca078be08de5181f61f5b119be52e66c9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/inductive1.lean | 2ab445f8cb33c08e0518e738226fb729dab23dbd | [
"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 | 1,926 | lean | --
-- Test1
inductive T1 : Nat -- Error, resultant type is not a sort
-- Test2
mutual
inductive T1 : Prop
inductive T2 : Type -- Error resulting universe mismatch
end
-- Test3
universe u v
mutual
inductive T1 (x : Nat) : Type u
inductive T2 (x : Nat) : Nat β Type v -- Error resulting universe mismatch
end
--... |
b1fa76c9e8872deb03c5e4a7b20d2dae47d1ce72 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/category/Module/epi_mono.lean | b6300ae70177043d5671be86dff4379cfc9184f4 | [
"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 | 1,751 | lean | /-
Copyright (c) 2021 Scott Morrison All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import linear_algebra.quotient
import algebra.category.Module.adjunctions
import category_theory.epi_mono
/-!
# Monomorphisms in `Module R`
This file shows that an `... |
547bfc40f8272f2dada22c56a38bb1ed873b1868 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/ns.lean | 6182c360f117980fea0b1d142ebe54ba5c474103 | [
"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 | 286 | lean | prelude
constant nat : Type.{1}
constant f : nat β nat
namespace foo
constant int : Type.{1}
constant f : int β int
constant a : nat
constant i : int
#check _root_.f a
#check f i
end foo
open foo
constants a : nat
constants i : int
#check f foo.a
#check f foo.i
|
5218f32199685a689f9e516353bdd6a45963eeb6 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/linear_algebra/eigenspace.lean | 67420ac78640917f8c8593afc274a11ebe9d9ec3 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 18,005 | lean | /-
Copyright (c) 2020 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Alexander Bentkamp.
-/
import field_theory.algebraic_closure
import linear_algebra.finsupp
import linear_algebra.matrix
/-!
# Eigenvectors and eigenvalues
This file defines eigen... |
2a02cdee8afcd8c0ad5928abf9359028a88f26a7 | 690889011852559ee5ac4dfea77092de8c832e7e | /src/group_theory/order_of_element.lean | e6b5b37791bd6accfa990539c772d2b49ddea6cb | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 22,704 | lean | /-
Copyright (c) 2018 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
-/
import data.set.finite group_theory.coset data.nat.totient
open function
variables {Ξ± : Type*} {s : set Ξ±} {a aβ aβ b c: Ξ±}
-- TODO this lemma isn't used anywhere i... |
1c228cd506c2314267241c28c649696314fedb42 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/field_theory/finite/basic.lean | 1df22603ad03802cbd78f9aabd889739473c01fd | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 20,516 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Joey van Langen, Casper Putz
-/
import field_theory.separable
import field_theory.splitting_field
import ring_theory.integral_domain
import tactic.apply_fun
/-!
# Finite f... |
994d5549754d53ef17af715fa712b053218eb874 | 4727251e0cd73359b15b664c3170e5d754078599 | /archive/100-theorems-list/57_herons_formula.lean | fc62c68b265a5e5ffae8682d4ba7f500c06a5944 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 2,787 | lean | /-
Copyright (c) 2021 Matt Kempster. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matt Kempster
-/
import geometry.euclidean.triangle
/-!
# Freek β 57: Heron's Formula
This file proves Theorem 57 from the [100 Theorems List](https://www.cs.ru.nl/~freek/100/),
also ... |
168b302c8b98cbb18018194109171141acbece95 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/trace.lean | 66f84e7138b5bf5c7d7cd75f5665de9f40e75f17 | [
"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 | 1,408 | lean | import Lean.CoreM
new_frontend
open Lean
structure MyState :=
(traceState : TraceState := {})
(s : Nat := 0)
abbrev M := CoreM
def tst1 : M Unit :=
do trace! `module ("hello" ++ MessageData.nest 9 (Format.line ++ "world"));
trace! `module.aux "another message";
pure ()
def tst2 (b : Bool) : M Unit :=... |
0bd56cb6bf23287d62ce5f577e1ca37946cdd5f4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/concrete_category/reflects_isomorphisms.lean | e211e89622b43eaac7f7c4f8dab3ae4b97993a0e | [
"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 | 1,359 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.concrete_category.basic
import category_theory.reflects_isomorphisms
/-!
A `forgetβ C D` forgetful functor between concrete categories `C` and... |
e9d221139cd56472b5ce1c4de8d70ef6c542daa9 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/polynomial/degree/definitions.lean | 3c87ca28129dd112c14c06b8ff20a4eb023d5d51 | [
"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 | 48,537 | 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 HΓΆlzl, Scott Morrison, Jens Wagemaker
-/
import data.nat.with_bot
import data.polynomial.induction
import data.polynomial.monomial
/-!
# Theory of univariate poly... |
16fc7a17411cd8c41df2619b73745ac355b68bf3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/vector/basic.lean | f60d184892f4d6bfba1a5698dac47504553de6e8 | [
"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 | 22,166 | 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.vector
import data.list.nodup
import data.list.of_fn
import control.applicative
import meta.univs
/-!
# Additional theorems and definitions about the `vec... |
fa660127e8388f0af2a00265e0aef0a873347cd9 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Declaration.lean | 0e39cba833b55a20d7a6776b5f691f89c72121fb | [
"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 | 14,165 | 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 ...)... |
b5d629d697cfe1f928795618ca2d59750d93d17e | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/mvar3.lean | 438f52901a49e1fe4a22e290dd4f22df2721bac5 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,847 | lean | import Lean.MetavarContext
open Lean
def mkLambdaTest (mctx : MetavarContext) (ngen : NameGenerator) (lctx : LocalContext) (xs : Array Expr) (e : Expr)
: Except MetavarContext.MkBinding.Exception (MetavarContext Γ NameGenerator Γ Expr) :=
match MetavarContext.mkLambda xs e lctx { mctx := mctx, ngen := ngen } with
... |
c9b0001b9def99edb8c8182159eb381fecbd6640 | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /nat_num_game/src/Advanced_Addition_World/adv_add_wrld13.lean | 3cd586c96465a84f31316019c254ce8f6988f34c | [] | no_license | Samyak-Surti/LeanCode | 1c245631f74b00057d20483c8ac75916e8643b14 | 944eac3e5f43e2614ed246083b97fbdf24181d83 | refs/heads/master | 1,669,023,730,828 | 1,595,534,784,000 | 1,595,534,784,000 | 282,037,186 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65 | lean | lemma ne_succ_self (n : β) : n β nat.succ n :=
begin
end |
117001f03b026ae4ab503ce9fa65ff1652c6ba46 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Meta/FunInfo.lean | db10b9f68beb4d074d589719857c5cd2d7011278 | [
"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 | 2,997 | 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.Basic
import Lean.Meta.InferType
namespace Lean.Meta
@[inline] private def checkFunInfoCache (fn : Expr) (maxArgs? : Option Nat) (k : Met... |
0f422b04ed4703ff13fb75896bd54cb6f98dc641 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/class2.lean | d5d075008f11d09a4bf19239af25af45f1b013a9 | [
"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 | 124 | lean | open tactic
theorem H {A B : Type} (H1 : inhabited A) : inhabited (Prop Γ A Γ (B β nat))
:= by apply_instance
#print H
|
ab6d36cc4df0ba4507365f6cce37a05b1d7b3dd1 | ea11767c9c6a467c4b7710ec6f371c95cfc023fd | /src/monoidal_categories/lemmas/symmetry_in_terms_of_natural_transformations.lean | 4ed231970bed6bfb84d3e0d48c0add6ff9a13ead | [] | no_license | RitaAhmadi/lean-monoidal-categories | 68a23f513e902038e44681336b87f659bbc281e0 | 81f43e1e0d623a96695aa8938951d7422d6d7ba6 | refs/heads/master | 1,651,458,686,519 | 1,529,824,613,000 | 1,529,824,613,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,775 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import ..braided_monoidal_category
import categories.functor_categories.isomorphisms
import categories.functor_categories.whiskering
import tidy.it... |
08edd4b8eb77585884a05c8906822ad99c29d57e | 302b541ac2e998a523ae04da7673fd0932ded126 | /tests/playground/treeupdate.lean | 95b449df501991f46b65a0b150ded296f24a25b9 | [] | no_license | mattweingarten/lambdapure | 4aeff69e8e3b8e78ea3c0a2b9b61770ef5a689b1 | f920a4ad78e6b1e3651f30bf8445c9105dfa03a8 | refs/heads/master | 1,680,665,168,790 | 1,618,420,180,000 | 1,618,420,180,000 | 310,816,264 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,130 | lean | func @app_to_node(%node: !lambdapure.Object) (%f: !lambdapure.Object) -> !lambdapure.Object {
"lambdapure.ResetOp"(%x) ( {
%0 = "lambdapure.ProjectionOp"(%node) {index = 0 : i64} :(!lambdapure.Object) -> !lambdapure.Object
"lambdapure.IncOp"(%0) : (!lambdapure.Object) -> ()
%1 = "lambdapure.ProjectionOp"(... |
74e4cab243624d79808a224f2ccb81c3e83999aa | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/combinatorics/composition.lean | c39e2ab9264807bc7085fc19dd830792b189fce6 | [
"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 | 36,479 | lean | /-
Copyright (c) 2020 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import data.fintype.card
import data.finset.sort
import algebra.big_operators.order
/-!
# Compositions
A composition of a natural number `n` is a decompositio... |
b60333e792b81f5859f8a5cc87d674ba870f9885 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/meta/expr_auto.lean | c9e6bcad99077c4957fbc0ac7a4db885de1c3358 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,085 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.string.defs
import Mathlib... |
e4670a76196198f2546442dae5e01a05d79b4619 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /test/linarith.lean | a7cc29de2e6103ddaa5abc081fa037c5898d8918 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 9,069 | lean | import tactic.linarith
example {Ξ± : Type} (_inst : Ξ (a : Prop), decidable a)
[linear_ordered_field Ξ±]
{a b c : Ξ±}
(ha : a < 0)
(hb : Β¬b = 0)
(hc' : c = 0)
(h : (1 - a) * (b * b) β€ 0)
(hc : 0 β€ 0)
(this : -(a * -b * -b + b * -b + 0) = (1 - a) * (b * b))
(h : (1 - a) * (b * b) β€ 0) :
0 < 1 - a :=
be... |
8a37f1050dad519d4f9a1fdf29f4343f0ae2c3ae | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/shift_auto.lean | bf124dd1355378cfa5950c85bbf97516cef68c45 | [] | 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 | 1,296 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.zero
import Mathlib.PostPort
universes v u l
namespace Mat... |
5ce116982b585c4d19035e16215ba7f3d624c975 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/cast.lean | 736833cdfe85f486f9a1f981784b1a5b5369f87e | [] | 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 | 2,402 | lean |
universe variable u
def option.cast : β {Ξ± Ξ² : Type u}, option Ξ± β (Ξ± = Ξ²) β option Ξ²
| Ξ± ._ x rfl := x
@[reducible]
def option.cast' {Ξ± Ξ² : Type u} (x : option Ξ±) (P : Ξ² = Ξ±) : option Ξ² :=
option.cast x P.symm
lemma cast_some {Ξ± Ξ²} (x : Ξ±) (P : Ξ± = Ξ²) : (some x).cast P = some (cast P x) :=
begin
cases P, refl
... |
c4047bea5c070058e83cf22a23aa3f8608fb8b97 | 359199d7253811b032ab92108191da7336eba86e | /src/instructor/lectures/lecture_17.lean | c475f9739ed6bb7bd8eb28b78ea0ac8097581140 | [] | 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 | 5,640 | lean | -- set is defined by a membership predicate; in Lean, a set is just a predicate
import data.set
/-
We formally define two predicates on
natural numbers.
-/
def ev (n : β) : Prop := n % 2 = 0
def od (n : β) : Prop := Β¬ ev n
/-
We now formally represent some sets.
Bear in mind that we represent a set
as a predicate, ... |
020916bcbc362e0e520de5962ab90377f195884c | ac89c256db07448984849346288e0eeffe8b20d0 | /stage0/src/Lean/Elab/Term.lean | effc34879fdcfaa99a16d18c1a5e4181e8faba8f | [
"Apache-2.0"
] | permissive | chepinzhang/lean4 | 002cc667f35417a418f0ebc9cb4a44559bb0ccac | 24fe2875c68549b5481f07c57eab4ad4a0ae5305 | refs/heads/master | 1,688,942,838,326 | 1,628,801,942,000 | 1,628,801,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 67,771 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.ResolveName
import Lean.Util.Sorry
import Lean.Util.ReplaceExpr
import Lean.Structure
import Lean.Meta.ExprDefEq
import Lean.... |
11e6997c1f5d54335c0e350c6451863f1832f570 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1841.lean | 7e30ab817980cf49741bdd52f02fe7d1885ccb83 | [
"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 | 272 | lean | namespace n1
def f : {n : β // n = 0} β {n : β // n = 0}
| β¨ v, h β© := β¨ v, h.symm.symm β©
def g : {n : β // n = 0} β {n : β // n = 0} :=
Ξ» x, subtype.cases_on x (Ξ» v h, β¨v, h.symm.symmβ©)
end n1
#check @n1.f._main._proof_1
#check @n1.g._proof_1
|
f85a074eba193fc09b071dc768c56c2be1b85ba5 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebraic_geometry/locally_ringed_space.lean | f34b1de7d4e4b41da8e20f8737acb2cbb635710c | [
"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 | 7,644 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebraic_geometry.ringed_space
import data.equiv.transfer_instance
/-!
# The category of locally ringed spaces
We define (bundled) locally ringed spaces (a... |
6f091939fddeace5ee8cbcf551a80d267ccd00e7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/adjoin/fg.lean | a997fc1c51b345a97a3508e0daa767762af31a61 | [
"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 | 6,902 | 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 ... |
b109b289e21098ee328d9048ab8406d1d9ae6407 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/forall2.lean | 8f22ca33c1c5089be608d8f4b2b05cc448a7fbe9 | [
"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 | 13,634 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes HΓΆlzl
-/
import data.list.basic
/-!
# Double universal quantification on a list
This file provides an API for `list.forallβ` (definition in `data.list.defs`)... |
1ad06845d78f8082f491c283c1209e927ef91df9 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20181212_ETH/demo.lean | 56b0b45a1e794dbafc739d234e4372de092eccb8 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 1,343 | lean | import tools.auto.finish
constant Ξ± : Type
constants (p q : Ξ± β Prop)
example : (β a, p a β§ q a) β (β a, p a) β§ (β a, q a) :=
Ξ» h, exists.elim h (Ξ» a ha, and.intro
(exists.intro a (and.left ha))
(exists.intro a (and.right ha)))
-- dot-notation shorthand
example : (β a, p a β§ q a) β (β a, p a) β§ (β a, q a) :=
Ξ» h... |
4e840dba7de6c22f310be7e6d15c6445f745ef3a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/circulant.lean | 8ee4942ac5a66e8559db14532f0a7e5b9aef102e | [
"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 | 7,126 | lean | /-
Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lu-Ming Zhang
-/
import linear_algebra.matrix.symmetric
/-!
# Circulant matrices
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to ma... |
1b168dfe42f4b87f173a07597e20faf9e80aec6a | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/real/mul.lean | 0df17f53eeed787055521b743de0e13df525904b | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 16,449 | lean | import .add
noncomputable theory
namespace hidden
open myring
open ordered_myring
open myfield
open ordered_myfield
open ordered_integral_domain
namespace cau_seq
-- The proof is very similar to the one we use for real series in analysis.
-- We bound the absolute values of each of the series above, and
-- use the ... |
40f6711d08b61a25f3b34d9fb6d5c585c0487615 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/dfinsupp.lean | b9443fba3c409b2734354ac7c6303496d821b381 | [
"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 | 32,074 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Kenny Lau
Dependent functions with finite support (see `data/finsupp.lean`).
-/
import data.finset data.set.finite algebra.big_operators algebra.module algebra.pi_instance... |
fd308b6127137da243faa7d14ab89e8297982209 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/record9.lean | c32c2d56ea95865929c37b6227d05c31a78faa6a | [
"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 | 126 | lean | constant {u} fibrant : Type u β Prop
structure {u} Fib : Type (u+1) :=
{type : Type u} (pred : fibrant type)
check Fib.mk
|
9f9f187494e314132990a5034beb30e8e0c2b366 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/comma.lean | 6a0301726e75a3c1d63083d16be4a2e7613eba3a | [
"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 | 20,443 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin, Bhavik Mehta
-/
import category_theory.isomorphism
import category_theory.equivalence
import category_theory.punit
/-!
# Comma categories
A comma cate... |
9c9d27adcabfa2a8e333b376a50f50020d8580cb | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/rewrite8.lean | c398f6d3c85284c8975300e18469b9f36b2de52b | [
"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 | 158 | lean | import data.nat
open nat
constant f : nat β nat
theorem tst1 (x y : nat) (H1 : (Ξ» z, z + 0) x = y) : f x = f y :=
by rewrite [βΈ* at H1, ^add at H1, H1]
|
939bbda752212be0bc00547a03d9b0423d617a3b | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/padics/hensel.lean | 7e824276629e3fb9831bdbdfc21e677e16f96210 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 21,392 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import data.padics.padic_integers
import topology.metric_space.cau_seq_filter
import analysis.specific_limits
import data.polynomial.identities
import topology.alge... |
93215717f956213cae23505307ad9c2d9e5ea1d6 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/class1.lean | 4874ec2baa5133423af4486658f18da23737a97f | [
"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 | 123 | lean | import logic data.prod data.num
open prod inhabited
definition H : inhabited (Prop Γ num Γ (num β num)) := _
print H
|
53c6c93cce0cf88078fcd95dff9709924c1526a7 | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/tactic/rewrite_search/core/backtrack.lean | 7637ca051d940f44e8fb6d67e386c5772f2ce964 | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,679 | lean | import .types
import .debug
open tactic
namespace tactic.rewrite_search
variables {Ξ± Ξ² Ξ³ Ξ΄ : Type} (i : inst Ξ± Ξ² Ξ³ Ξ΄)
namespace backtrack
meta def backtrack_fn := inst Ξ± Ξ² Ξ³ Ξ΄ β edge β tactic (list edge)
namespace naive
meta def walk_up_parents : vertex β option edge β tactic (list edge)
| v none := return [... |
643839e5595ebbf2cf45fb423ff32cb909645314 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/local_extr.lean | 4be3a73bbafde6640e308e9c4cdcf2661cf1b02a | [] | 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 | 32,358 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.filter.extr
import Mathlib.topology.continuous_on
import Mathlib.PostPort
universe... |
4ebcba154e87d2c53f08d5c00f855c9c0e3402e7 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/meta/async_tactic.lean | 6ce3407f4798e5b5108ad807dfccd46948554842 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 1,843 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import init.meta.tactic
import init.meta.interactive
namespace tactic
private meta def report {Ξ±} (s : tactic_state) : option (unit β format) β Ξ±
| (some fmt)... |
a3d4f939c55f2b9f9dd2e8aecac362ba0a49b9ea | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/ring_theory/tensor_product.lean | 7b70cbf03e1866210964908d57bdc5f1fc0dbd14 | [
"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 | 15,880 | 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 linear_algebra.tensor_product
import algebra.algebra.basic
/-!
# The tensor product of R-algebras
We construct the R-algebra structure on `A β[R] B`, when `... |
94dbceed413c1ff2d3fda5159cee10190633f60e | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-89.lean | ceebe7b76220061f1cf80d5a36a8d3a54b84a07e | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,069 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (b : β) (hβ : b β 0) : ( 7 * b ^ 3 ) ^ 2 * ( 4 * b ^ 2 ) ^ ( - ( 3:β€ ) ) = 49/64 :=
begin
ring,
simp,
calc 49 * ((4 * b ^ 2) ^ 3)β»ΒΉ * b ^ ... |
32dd5fccc4c269bca80bb6e90d6d0875fbac6731 | e9dbaaae490bc072444e3021634bf73664003760 | /src/Test.lean | 7f78a0e916ab9418f4586ee8abfc10e0cb84459a | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 80 | lean | import Geo.Background.Real
def main : IO Unit := do
IO.println "Hello, World!"
|
01cdd48ba83df3ef1926fdab4689b923be60dea9 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/number_theory/divisors.lean | 026aea13d66e4a640c596e26d8d5395bd870e069 | [
"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 | 13,500 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.order
import data.nat.interval
import data.nat.prime
/-!
# Divisor finsets
This file defines sets of divisors of a natural number. This... |
dedbe2eafcf85938e57a2f943dd8dd7a5b4a5f53 | 09d257052fff016351aa80a67b1329d43abfa651 | /library/init/data/int/basic.lean | 67c8a3358b1495bf41087a5f98bf83ee06864675 | [
"Apache-2.0"
] | permissive | jipsen/lean | 393b0da6988eb9896c927a026694f25a9fa0736b | 6f28a08d5ab7385f42c665ec2fb6895d1a65b076 | refs/heads/master | 1,667,767,831,701 | 1,592,268,582,000 | 1,592,268,582,000 | 272,565,036 | 0 | 0 | Apache-2.0 | 1,592,263,894,000 | 1,592,263,893,000 | null | UTF-8 | Lean | false | false | 23,632 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
prelude
import init.data.nat.lemmas init.data.nat.gcd
open nat
/- the type, coercions, and notation -/
... |
047824e0a622168a6b5c3d3e72a2abc77931b5f2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/homology/image_to_kernel.lean | 10f622676ac23041172e60697496e81a5cd48cba | [
"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 | 14,731 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.subobject.limits
/-!
# Image-to-kernel comparison maps
Whenever `f : A βΆ B` and `g : B βΆ C` satisfy `w : f β« g = 0`,
we have `image_le_kernel... |
574d3f888f31990c16c7ae38ce72640aede08fa0 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/util/basic.lean | e3b758d67b346c88cbc3362dd9b2f91455848051 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 430 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
theorem not_exists_of_forall_not {Ξ± : Sort*} {p : Ξ± β Prop} :
(β x, Β¬ p x) β Β¬ (β x, p x) := Ξ» h β¨x, hxβ©, h x hx
theorem not_exists_iff_forall_not {Ξ± : Sort*} (p : Ξ± β Prop) :
Β¬ (β x, p... |
29c5c8bee5f6fca5181f3bbb65aaee8932ebc9cd | c9e78e68dc955b2325401aec3a6d3240cd8b83f4 | /src/pump1.lean | 5248f5735a1b2875c62cb6d617f8d3884b068df6 | [] | no_license | loganrjmurphy/lean-strategies | 4b8dd54771bb421c929a8bcb93a528ce6c1a70f1 | 832ea28077701b977b4fc59ed9a8ce6911654e59 | refs/heads/master | 1,682,732,168,860 | 1,621,444,295,000 | 1,621,444,295,000 | 278,458,841 | 3 | 0 | null | 1,613,755,728,000 | 1,594,324,763,000 | Lean | UTF-8 | Lean | false | false | 7,549 | lean | import LTS justification property_catalogue.LTL.patterns
-- -- define the LTS
-- inductive States
-- | BolusRequest
-- | Alarm
-- | Timeout
-- | ReservoirEmpty
-- | Idle
-- open States
-- inductive Actions
-- | nil
-- def InfPump : LTS :=
-- { S := States, Act := Actions, TR := set.univ}
-- -- Boilerplate Coer... |
8d7695852be08caf545e3fd56c511ef9ffefc508 | dc253be9829b840f15d96d986e0c13520b085033 | /homology/torus.hlean | 3158cffea42d7c529094b63db0cbe5b5269f98f9 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 2,219 | hlean | /-
Copyright (c) 2017 Kuen-Bang Hou (Favonia).
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kuen-Bang Hou (Favonia)
-/
import .basic .sphere ..homotopy.susp_product
open eq pointed group algebra circle sphere nat equiv susp
function sphere homology int lift prod smash
namespace h... |
939fbcaba26d75284855a658aa0a76e3265eb710 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Lean/LocalContext.lean | a3fa4263608619b3a86c8f65faf7b4efce7d3efb | [
"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 | 14,854 | 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 Std.Data.PersistentArray
import Lean.Expr
import Lean.Hygiene
namespace Lean
inductive LocalDecl where
| cdecl (index : Nat) (fvarId : FVarId) (u... |
e9ce456c642b042712d583c095b08d51fe042e18 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/lib/utf8.lean | 1c6e4efb2d62350f2a27c9fdc3e03d5877cfea47 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,209 | lean | import data.num.bitwise
import data.nat.cast
import .num
namespace utf8
def TAG_CONT := 0b10000000
def TAG_TWO_B := 0b11000000
def TAG_THREE_B := 0b11100000
def TAG_FOUR_B := 0b11110000
def MAX_ONE_B := 0x80
def MAX_TWO_B := 0x800
def MAX_THREE_B := 0x10000
open num
def decode_char (c : char) : list char ... |
4c63ab900e5ac09bbfcd4304f271f5932ba2cfac | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category/monad/cont.lean | acbdcf264f88c829ed23d284e389c6c3ac7332f7 | [
"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 | 8,849 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Monad encapsulating continuation passing programming style, similar to
Haskell's `Cont`, `ContT` and `MonadCont`:
<http://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Mo... |
10426e5349592fb84608d5b16d1228cd419a4a41 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/pointwise/basic.lean | a7391f94aeb54d49ab354d0047c1bbd8d2c84060 | [
"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 | 32,377 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Floris van Doorn
-/
import data.set.lattice
import data.list.of_fn
/-!
# Pointwise operations of sets
This file defines pointwise algebraic operations on sets.
## Ma... |
2cc584ffeaac84dcf0fe6f4485b88095ef7a8d32 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /algebra/pi_instances.lean | f01e09b374cc2ac84e6195c3bb079ff1ba386cb2 | [
"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 | 3,842 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
Pi instances for algebraic structures.
-/
import algebra.module order.basic tactic.pi_instances
namespace pi
universes u v
variable {I : Type u} -- The ... |
fc1127b2c7722b908f08ca8ffa24cc881f705bef | 1dd482be3f611941db7801003235dc84147ec60a | /src/data/padics/padic_numbers.lean | d8b53b0da664eb80a5d591e20067da7acaeea882 | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 28,532 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
Define the p-adic numbers (rationals) β_p as the completion of β wrt the p-adic norm.
Show that the p-adic norm extends to β_p, that β is embedded in β_p, and that β_... |
f1dedc5e8860bf293fb713b99c97c7ef57424d89 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/PreDefinition/WF/Main.lean | a04789019db5857abc14c79292caea8fd1bb6831 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 5,648 | 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.Elab.PreDefinition.Basic
import Lean.Elab.PreDefinition.WF.TerminationHint
import Lean.Elab.PreDefinition.WF.PackDomain
import Lean.Elab.PreDefi... |
e30cf15fe0c198c83211e052b33f70a2674a14e9 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/real/cau_seq.lean | f4db2f5dc51859102876b6f2bce86715c2c9699e | [
"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 | 25,977 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.big_operators.order
/-!
# Cauchy sequences
A basic theory of Cauchy sequences, used in the construction of the reals and p-adic numbers. Where
applic... |
b5385ec55ad21cfb96ef202116c4f454e8d7fa2e | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/real/cau_seq_completion.lean | 679f3e3f7153e4f37b1ad10e3849ee60eb61b859 | [
"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 | 9,452 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Robert Y. Lewis
Generalizes the Cauchy completion of (β, abs) to the completion of a
commutative ring with absolute value.
-/
import data.real.cau_seq
namespace cau_s... |
b9da19da639f88e5557dab02bfcb7516803438ce | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebraic_geometry/sheafed_space.lean | 295086a2ebf33525e36102cccc3ccc5a2efc99a0 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 3,771 | 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 algebraic_geometry.presheafed_space
import topology.sheaves.sheaf
/-!
# Sheafed spaces
Introduces the category of topological spaces equipped with a sheaf (t... |
694bd8d91f3d6276c0a0f13454d1c90920e4a37d | 78269ad0b3c342b20786f60690708b6e328132b0 | /src/library_dev/data/nat/basic.lean | 2f88a8543a4f68af12ed8948be9754fb37c58c9b | [] | no_license | dselsam/library_dev | e74f46010fee9c7b66eaa704654cad0fcd2eefca | 1b4e34e7fb067ea5211714d6d3ecef5132fc8218 | refs/heads/master | 1,610,372,841,675 | 1,497,014,421,000 | 1,497,014,421,000 | 86,526,137 | 0 | 0 | null | 1,490,752,133,000 | 1,490,752,132,000 | null | UTF-8 | Lean | false | false | 3,249 | 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
Basic operations on the natural numbers.
-/
import super.prover
open tactic
namespace nat
-- TODO(gabriel): can we drop addl?
/-... |
f2dca5ebb7be69c9c610a72833241a2ee501678f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Occurrences.lean | 02109c7c71e4164f2351c957c21a4a142bc7ba89 | [
"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 | 544 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
namespace Lean
inductive Occurrences where
| all
| pos (idxs : List Nat)
| neg (idxs : List Nat)
deriving Inhabited, BEq
def Occurrences.contains :... |
080668aeef47bd8239f55a813e982b81cecc83e3 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Compiler/IR/Boxing.lean | d24fd5bffee49464111bc625b73ea127eb8d9ff6 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,259 | 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.Runtime
import Lean.Compiler.ClosedTermCache
import Lean.Compiler.ExternAttr
import Lean.Compiler.IR.Basic
import Lean.Compiler.IR.CompilerM
imp... |
f79849e8bc487383d1e2ca51aeec3e8d2020a156 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/integral_domain.lean | d48eb2aad8b84cbb3a74a90e80dbe1ded24e7538 | [
"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 | 7,854 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes
-/
import data.fintype.card
import data.polynomial.ring_division
import group_theory.specific_groups.cyclic
import algebra.geom_sum
/-!
# Integral domain... |
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