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values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
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class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
380fda653d1af3634871ce1c3d10e11347beccce | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/qpf/multivariate/constructions/prj.lean | 4e42a9e26c667360edb0464d88c42134b08b7283 | [] | 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 | 1,797 | lean | /-
Copyright (c) 2020 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.control.functor.multivariate
import Mathlib.data.qpf.multivariate.basic
import Mathlib.PostPort
un... |
42f523e5e79dfc8aa9bdb331a15dffa6738e7cad | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2019/questions/sheet4.lean | 42a656dae16a5e445cab78f947b2ece5524a03f2 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 4,433 | lean | /- Math40001 : Introduction to university mathematics.
Problem Sheet 4, October 2019.
This is a Lean file. It can be read with the Lean theorem prover.
You can work on this file online at
https://tinyurl.com/Lean-M40001-Example-Sheet-4
or you can install Lean and its maths library following the
instructions at
ht... |
fab1768cc8ad34b345d0d9f2e4551218353dd2bc | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/bag.lean | 0bbfa3a3a30d809031a91c1743f3ac25c9977c41 | [
"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 | 34,434 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Finite bags.
-/
import data.nat data.list.perm algebra.binary
open nat quot list subtype binary function eq.ops
open [declarations] perm
open algebra
variable... |
30e2092892a543ee57226849db27f039967c714d | 0707842a58b971bc2c537fdcab2f5cef1c12d77a | /lean4/05_first_class_functions.lean | bc53c6ba8133b0515a9f8bff3109bca0776995ac | [] | no_license | adolfont/LearningProgramming | 7a41e5dfde8df72fc0b4a23592999ecdb22a26e0 | 866e6654d347287bd0c63aa31d18705174f00324 | refs/heads/master | 1,652,902,832,503 | 1,651,315,660,000 | 1,651,315,660,000 | 1,328,601 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,350 | lean | -- Source: https://leanprover.github.io/lean4/doc/tour.html
-- Lean has first-class functions.
-- `twice` takes two arguments `f` and `a` where
-- `f` is a function from natural numbers to natural numbers, and
-- `a` is a natural number.
def twice (f : Nat → Nat) (a : Nat) :=
f (f a)
-- `fun` is used to declare ano... |
0c24995b432d3ebc8d6eb9a3b5b69e9c069dcb3a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/ordering/lemmas.lean | 75f8791e634bb2b8e853ba06974e1caa0e9dcb5c | [] | 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 | 1,454 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.ordering.basic
import Mathlib.Lean3Lib.init.meta.default
import Mathlib.Lean3Lib.init.algebra.class... |
158f26e7dbe202cc9978eee47a9aae053afd3e2d | 274748215b6d042f0d9c9a505f9551fa8e0c5f38 | /src/for_mathlib/commutative_algebra/Zariski_lemma.lean | 831986fdb50d040a0e1c0bb79f3c2f1844c58ed6 | [
"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 | 10,111 | lean | /-
Zariski's Lemma: if k is a field and K is a field finitely generated
as a k-algebra, then K is also finitely-generated as a k-module
-/
import ring_theory.integral_closure field_theory.subfield
import linear_algebra.finite_dimensional
import for_mathlib.finset -- Chris' lemma about S - {s}
import field_theory.... |
42bac2b6d0966b430cad2cad45f2ebf6858f2a85 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/tactic/monotonicity/lemmas.lean | 0cd12911a52fdcf7f21a52eed748ea5c45307431 | [
"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 | 2,277 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.monotonicity.basic
import data.set.lattice
import order.bounds
variables {α : Type*}
@[mono]
lemma mul_mono_nonneg {x y z : α} [ordered_semiring α]
(h' : ... |
b294dbc645329ccc42f48ff73ccb216fb6851c0e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/group_action/basic.lean | 82a51b02837dfb2cc8a56cc9d6d4752558e695d8 | [] | 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 | 7,689 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.group_theory.group_action.defs
import Mathlib.group_theory.group_action.group
import Mathlib.gr... |
842b76df426cbe690543e941e986ab64bd28e0ef | 92e157ec9825b5e4597a6d715a8928703bc8e3b2 | /src/mywork/lecture_8.lean | 8ebbdc6f9f1fcf892f50586ef01cf9c94e63b00d | [] | 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 | 5,076 | lean |
theorem and_associative : ∀ (P Q R : Prop), (P ∧ Q) ∧ R → P ∧ (Q ∧ R) :=
/- and is defined as right associative P ∧ Q ∧ R ⟶ P ∧ (Q ∧ R) -/
begin
assume P Q R,
assume h,
have pq : P ∧ Q := and.elim_left h,
have p : P := and.elim_left pq,
have q : Q := and.elim_right pq,
have r : R := and.elim_right h,
exa... |
ea41776899a3deaf502cb21134eb459d7e090e7d | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/category/basic.lean | 75db02fc3617bf6efddd9d17c12b4a27ddd88528 | [
"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 | 10,867 | 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, Johannes Hölzl, Reid Barton
-/
import combinatorics.quiver.basic
import tactic.basic
/-!
# Categories
Defines a category, as a type class parametrised... |
0e7270f6e3a4975d74dd67957ad51541e948a3cf | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/legendre_symbol/quadratic_char.lean | 9e6d5d17c9fded7c09a15c7483aeaab8bd131bbe | [
"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 | 18,658 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import data.fintype.parity
import number_theory.legendre_symbol.zmod_char
import field_theory.finite.basic
import number_theory.legendre_symbol.gauss_sum
/-!
# Quadrat... |
c882796ea4274ead2e45952d8e35e5cf85163cf8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/seminorm.lean | 29ea0d7171a47ef7e433b8142551336311de6dff | [] | 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 | 7,680 | lean | /-
Copyright (c) 2019 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.pointwise
import Mathlib.analysis.normed_space.basic
import Mathlib.PostPort
universes u_1 u_2 l... |
6f44d9e9928c4af34bc8b97f224725f09ceae7a3 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/module/basic.lean | b48d6898e86f5ba9260af4539fcfe90268b42851 | [
"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 | 22,257 | 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 group_theory.group_action
/-!
# Modules over a ring
In this file we define
* `semimodule R M` : an additi... |
e19b283268a1ca454ee8d0930f0f2c963c119cde | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/tactic/interactive.lean | 8a8f2c89419ef81f6a81aa27a13a0dcff6bd9f09 | [
"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 | 38,825 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Sébastien Gouëzel, Scott Morrison
-/
import tactic.lint
import tactic.dependencies
open lean
open lean.parser
local postfix `?`:9001 := optional
local po... |
1709f78ca683661c3de6dd29cb70b0a812e253ec | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Deriving/FromToJson.lean | a6f0ad4b30a9751057f27f9a7321630df421fe48 | [
"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 | 9,267 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Dany Fabian
-/
import Lean.Meta.Transform
import Lean.Elab.Deriving.Basic
import Lean.Elab.Deriving.Util
import Lean.Data.Json.FromToJson
namespace Lean.Elab.Der... |
2e0f9e91c23bd1e08f11bd8bab3aaadb28c317b7 | 5ffb8080b18aa71638631832811ab18c0aec5879 | /src/subgroup/basic.lean | 424d5d9b57bdbb6550f722ef26390815167300c2 | [
"Apache-2.0"
] | permissive | isabella232/group-theory-game | 805ba8f473af58e3b0437121712dfc36f535b71a | 152ec4a92ad67b6174a3d240c63fa56a6df6017e | refs/heads/master | 1,679,206,314,315 | 1,611,521,951,000 | 1,611,521,951,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,349 | lean | import group.basic group.powers finsum.basic
/-!
Basic definitions for subgroups in group theory.
Not for the mathematician beginner.
-/
-- We're always overwriting group theory here so we always work in
-- a namespace
namespace mygroup
open mygroup.group
/- subgroups (bundled) -/
/-- A subgroup of a group G is... |
1ba06081b6dc7cc5db747b722520691cf554d189 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/pi_tensor_product.lean | 11fbb0d2578f3538b0e7bce49403cbfb5f6ca83e | [
"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 | 25,038 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis, Eric Wieser
-/
import group_theory.congruence
import linear_algebra.multilinear.tensor_product
/-!
# Tensor product of an indexed family of modules over commutative... |
541ede22d1df47f760edd91ae05762e782626367 | 8c95816d6379a6864848d68ce735a5700c1cbbc3 | /src/smt2/lol.lean | a3678e075bcc3144a29e84600fa012d8012d5da9 | [
"Apache-2.0"
] | permissive | aqjune/smt2_interface | f00ed0a4317d7c9112deb0806c8e89e6512a901e | 598848a7a6fa47520fadcfe1b16891053a296084 | refs/heads/master | 1,631,518,664,718 | 1,524,489,340,000 | 1,524,489,340,000 | 115,204,811 | 0 | 0 | null | 1,514,043,428,000 | 1,514,043,427,000 | null | UTF-8 | Lean | false | false | 13,138 | lean | import smt2.syntax
import smt2.builder
open native
namespace lol
structure refinement (T : Type) :=
(refinment : T → T)
mutual inductive type, term
with type : Type
| bool : type
| int : type
| var : string → type
| fn : list type → type → type
| refinement : type → (string → term) → type
with term : Type
-- TODO: e... |
2057507d20d57d1e8cedec0f3eb51bd6bb06387e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/init/function.hlean | 655ff42b9bbb45341ceaf9dcb5f5ca288db9c9db | [
"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 | 1,904 | 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
General operations on functions.
-/
prelude
import init.reserved_notation .types
open prod
namespace function
variables {A B C D E : Type}
definition comp... |
16070a5d5f822b062c6182fbda8ba34b1b48e21b | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/lua7.lean | 964ecabdb76e9cf2a78cdbe0ca694b1f4d1af3e0 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 82 | lean | (*
x = Const("x")
y = Const("y")
N = Const("N")
print(fun({{x, N}, {y, N}}, x))
*) |
09c79544ec5882b0bd44111b6e076864a805bdc0 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Message.lean | a5fa6419436ae38d9a266dbe02ee17c261e1d1f7 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,604 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Message Type used by the Lean frontend
-/
prelude
import Init.Data.ToString
import Init.Lean.Data.Position
import Init.Lean.Syntax
import In... |
fc344b4c3cd4065b6e7c12dde9256b4e54ddb8c2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/affine_space/independent.lean | 7918c3ff4d4a873fc0d38c41a1f476400f91ffd3 | [
"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 | 44,078 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import data.finset.sort
import data.fin.vec_notation
import data.sign
import linear_algebra.affine_space.combination
import linear_algebra.affine_space.affine_equiv
impor... |
a66472b305f3b18e03b2ce3b805fd9878f6f2084 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/DocCommands.lean | 168db27d2fd40eb2d1bd23690849c02722bbefd9 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,291 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
open Lean
open Lean.Elab.Tactic (Location)
namespace Mathport.Translate.Tactic
open AST3 Parser
-- # tactic.do... |
e2ccccd561d2bf5a8a054f9455e6e855ec18b119 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Meta/WHNF.lean | adf0e087fccae94f2de9bba0931e27fb2bd6a962 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,335 | 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.ToExpr
import Lean.AuxRecursor
import Lean.ProjFns
import Lean.Meta.Basic
import Lean.Meta.LevelDefEq
import Lean.Meta.GetConst
import Lean.Meta... |
6327c5e311439e13f8fb8be62ae119fbbe8dd42b | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/auto_quote_error2.lean | 1e9cd714eac5e20c571e8b48f44400e863c12b62 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 938 | lean | example (a b c : nat) : a = b → b = c → c = a :=
begin
tactic.intros,
apply eq.symm,
apply eq.refl, -- Error: unification
assumption,
assumption
end
example (a b c : nat) : a = b → b = c → c = a :=
begin
tactic.intros,
apply eq.symm,
begin
tactic.trace "hello world",
end, -- Error unsolved goals
... |
9ff949c99060b8ae7ae60c28a68cc3be2615d61f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/box_integral/integrability.lean | 0cd3e3289fc467bb183bbb04a956ba6b5e73a472 | [
"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 | 17,971 | 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.basic
import measure_theory.measure.regular
/-!
# McShane integrability vs Bochner integrability
In this file we prove that any Bochn... |
a40c25fef28f563320582069f7769b59cb82129d | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/homology/homology.lean | 90187963d3e24447d8be5908a8f43115a95fb729 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 3,899 | 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.homology.chain_complex
import category_theory.limits.shapes.images
import category_theory.limits.shapes.kernels
/-!
# Non-functorial cohomology groups... |
db3a9f05d05681963ea8a7d814d99c2c01b5f99d | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/ring/pi.lean | 8ffec41b44d3f170f6e942501aaa75e54d6e09e6 | [
"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 | 4,323 | 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
-/
import tactic.pi_instances
import algebra.group.pi
import algebra.ring.basic
/-!
# Pi instances for ring
This file defines instances for ring, semiring an... |
ba65f745e5d72b6fb48fdb8d3da15d467d3b942f | 1a9d3677cccdaaccacb163507570e75d34043a38 | /src/week_5/Part_A_filters.lean | ba50bfc420b3a126c5b3419a5f89f0d4cc94b50a | [
"Apache-2.0"
] | permissive | alreadydone/formalising-mathematics | 687d386a72065795e784e270f5c05ea3948b67dd | 65869362cd7a2ac74dd1a97c7f9471835726570b | refs/heads/master | 1,680,260,936,332 | 1,616,563,371,000 | 1,616,563,371,000 | 348,780,769 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,656 | lean | import order.filter.basic -- the basics
/-
# Filters
## Introduction
A topological space structure on a type `α` is a collection of subsets of `α`
(the open sets) satisfying some axioms. A filter is a similar kind of thing --
it's a collection of subsets of `α` satisfying some different axioms.
Before we go into th... |
b65b0029beec818a9e2a66b4a7e49be53999ec9c | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/t10.lean | 8943c5260fd06ba28066cb74662a8c87c6e815dd | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 582 | lean | constant N : Type.{1}
definition B : Type.{1} := Type.{0}
constant ite : B → N → N → N
constant and : B → B → B
constant f : N → N
constant p : B
constant q : B
constant x : N
constant y : N
constant z : N
infixr `∧`:25 := and
notation `if` c `then` t:45 `else` e:45 := ite c t e
check if p ∧ q then f x else y
check if ... |
48f20bd24d6a37aa4c7cca802d379e87771febef | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /examples/enzyme.lean | ba5174fcfa0d0231ae34c4036a1fcd8cfc1e2e02 | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,127 | lean | import .common
open cpi
open cpi.species
open_locale normalise
def k_bind : ℍ := fin_poly.X "k_bind"
def k_degrade : ℍ := fin_poly.X "k_degrade"
def k_unbind : ℍ := fin_poly.X "k_unbind"
def k_react : ℍ := fin_poly.X "k_react"
def aff : affinity ℍ := affinity.mk_pair k_bind -- x, y
def M : affinity ℍ -- u, r, t
... |
52e410a2a4cecd67141598ecc6005420d1e06368 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/shapes/constructions/over/connected.lean | 934d04b9d266a35176fff0503496ec21f8658e0c | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 2,668 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import category_theory.over
import category_theory.limits.connected
import category_theory.limits.creates
universes v u -- declare the `v`... |
63eb1fa3c0838575435fc19ed200c47ea7f6543b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/finset/basic.lean | a9d02b47de16fb3d6549b5f497581b81b5b913c6 | [
"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 | 124,204 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-/
import data.multiset.finset_ops
import tactic.monotonicity
import tactic.apply
import tactic.nth_rewrite
/-!
# F... |
9ed0cb657d61c54782dacd444e2d2d0ccf3e50be | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/char_zero.lean | e9779836aa8d8ab8c926290d143d1416d0f40eda | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,476 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.nat.cast
import... |
2ab9382d3989183e685dd30b8f698e3af0316a60 | 43390109ab88557e6090f3245c47479c123ee500 | /src/chris_hughes_various/disjoint_finset.lean | d2ed2176655cffcfb5a7de62517d59294f9d4808 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,652 | lean | import data.finset
namespace finset
variable {α : Type*}
def disjoint (s t : finset α) : Prop := ∀ ⦃a⦄, a ∈ s → a ∈ t → false
theorem disjoint.symm {s t : finset α} (d : disjoint s t) : disjoint t s
| a i₂ i₁ := d i₁ i₂
@[simp] theorem disjoint_comm {s t : finset α} : disjoint s t ↔ disjoint t s :=
⟨disjoint.symm, ... |
5b31acd60309f426262505467e547d7a481b5e38 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_theory/unnamed_1984.lean | 55b011d383e394fce1064d66156b7c4103ec4e3d | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 175 | lean | variables {p q : Prop}
-- BEGIN
example : (p → false) → (p → q) :=
begin
assume h₁ : p → false,
assume h₂ : p,
show q, from false.elim (h₁ h₂)
end
-- END |
87282412458374f9157ec5144e16eb950f465b7d | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/algebra/char_p.lean | 9245866e4967eab246fb3ef779e9e620b59c0acf | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,161 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
-/
import data.fintype.basic
import data.nat.choose
import data.int.modeq
import algebra.module.basic
import algebra.iterate_hom
import group_theory.... |
bb447a25ce143dc05636c90108c428a342521bfb | e4e5bde6f14c01a8a34267a9d7bb45e137735696 | /src/exercises/logic_and_proof/14.lean | ee0903046e6385ad31c3133995b463d288cbc155 | [] | no_license | jamesdabbs/proofs | fb5dab6f3c4f3f5f952fca033ec649888ae787c6 | 00baf355b08e7aec00de34208e1b2cb4a8d7b701 | refs/heads/master | 1,645,645,735,797 | 1,569,559,636,000 | 1,569,559,636,000 | 211,238,170 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,391 | lean | /-
Exercises from https://leanprover.github.io/logic_and_proof
Chapter 14. Relations in Lean
-/
/-
Replace the sorry commands in the following proofs to show that we can create
a partial order R' out of a strict partial order R.
-/
section ex1
parameters {A : Type} {R : A → A → Prop}
parameter (irreflR : irrefl... |
062d613ececa6185fe8b3f96ca63bf74b9af07dd | 1d335ec6ac4181a0a762b12797936770cc9fcef9 | /override/geomOverride.lean | 0747e2955aaf3c17aaea26c466e31e0885b7e1d7 | [] | no_license | rohanrajnair/lang | dbadcc3997e44245ca84d48dc1733cf09a2605a6 | 3beb4e29d8faa692983a55fa18acb6eb947134e8 | refs/heads/master | 1,672,640,379,424 | 1,597,948,771,000 | 1,597,948,771,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 359 | lean | import ..imperative_DSL.environment
import ..eval.geometryEval
open lang.classicalGeometry
def assignGeometry : environment.env → lang.classicalGeometry.var → lang.classicalGeometry.expr → environment.env
| i v e := environment.env.mk
(λ r,
if (varEq v r)
then (classicalGeometryEval e i)
... |
bda44ec15d16579d37bb193dad7d14d6aeda285a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/real/cardinality.lean | b70daf1d8d6c3afd0358080eb080ab9e47067e41 | [
"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 | 9,491 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import set_theory.cardinal_ordinal
import analysis.specific_limits
import data.rat.denumerable
import data.set.intervals.image_preimage
/-!
# The cardinality of ... |
f453bdbde32feaf8afa72413d14cd73892935a25 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/localized.lean | c6d2b77820d26a881d1cca8ff353591216a00506 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,467 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import meta.rb_map
import tactic.core
/-!
# Localized notation
This consists of two user-commands which allow you to declare notation and commands localized to ... |
fa6635ea74aef57f65aeb04978f9516c27b6a3bf | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/normed_space/affine_isometry.lean | fc1d7cdb39bf70941e38e9144cdec75d4a63bb4a | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,462 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.normed_space.add_torsor
import analysis.normed_space.linear_isometry
import linear_algebra.affine_space.affine_subspace
/-!
# Affine isometries
In... |
ba1de14cbcce568371ec40a94d4afbab7ebde829 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/dense_embedding.lean | 062831193ad407ea09637ec8c3a2f65808e77e37 | [
"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 | 12,900 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.separation
import topology.bases
/-!
# Dense embeddings
This file defines three properties of functions:
* `dense_rang... |
3317863cdab282a062fc0eb8d90ea92669f0094c | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/function/ae_eq_fun.lean | f7a32c4765cf2e496927df97a163c46a25f64d58 | [
"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 | 22,389 | lean | /-
Copyright (c) 2019 Johannes Hölzl, Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Zhouhang Zhou
-/
import measure_theory.integral.lebesgue
import order.filter.germ
import topology.continuous_function.algebra
/-!
# Almost everywhere e... |
b3f957fafd3eba511eb091eb0c182ce3709aeb5b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/reusebug.lean | c711e62dfa1a7759e05dc3dce183e4c5edc48087 | [
"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 | 756 | lean | inductive Expr
| Val : Int → Expr
| Var : String → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
namespace Expr
protected def Expr.toString : Expr → String
| Val n => toString n
| Var x => x
| Add f g => "(" ++ Expr.toString f ++ " + " ++ Expr.toString g ++ ")"
| Mul f g => "(" ++ Expr.toString f... |
59bde3d80a628b1ae1a1d2dd804a8a84fa3d5f96 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/group_theory/specific_groups/alternating.lean | 60ad95cd0e16fa76aee8bdf24732ce6fc24b4650 | [
"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 | 15,088 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import group_theory.perm.fin
import tactic.interval_cases
/-!
# Alternating Groups
The alternating group on a finite type `α` is the subgroup of the permutation gr... |
dbdca23501fb44bf2d2b40191104f1ee3fd22ccb | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/measure_theory/integral/bochner.lean | 5db105492850fa698114a97b101c0732ec17298b | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 67,204 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import measure_theory.integral.set_to_l1
import measure_theory.group.basic
import analysis.normed_space.bounded_linear... |
9484366187d8819910a26c6ec81593481547c461 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/real/ennreal.lean | 46b5bcf69496ce5e3210c80dcd5c895c1ab1bd8f | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 44,218 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
Extended non-negative reals
-/
import data.real.nnreal order.bounds data.set.intervals tactic.norm_num
noncomputable theory
open classical set
open_loc... |
5aabd20e45e253e79e5ee0915a32476d721f10af | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/bicones.lean | ced55c90ecb55c5962d8523e46e70d3128f1f3ba | [
"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 | 4,770 | 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 category_theory.limits.cones
import category_theory.fin_category
/-!
# Bicones
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
15209d13e523bc2c53ecc392b894d54ae0b932c8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/sites/spaces_auto.lean | fe5a8857c15f6e8707689b1f52f547c76fc2af86 | [] | 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 | 2,361 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.opens
import Mathlib.category_theory.sites.grothendieck
import Mathlib.category_theory... |
724db0118a9afcb949c78b73984f6409283c10e5 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/coeIssue2.lean | c0baca2ce2a85fb7fda179c49c4c8c41bd8533d2 | [
"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 | 850 | lean | new_frontend
structure A :=
(a : Nat)
structure B :=
(a : Nat)
structure C :=
(a : Nat)
instance : Coe A B := ⟨fun s => ⟨s.1⟩⟩
instance : Coe A C := ⟨fun s => ⟨s.1⟩⟩
def f {α} (a b : α) := a
def forceB {α} (b : B) (a : α) := a
def forceC {α} (c : C) (a : α) := a
def forceA {α} (a : A) (o : α) := o
def f1 (x : _)... |
e7eedc8afeeb957e2a453c436699a5ca91ca1aad | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/Util/Recognizers.lean | 5df6fb7d9c2f79dd2d58ab85d70d97b954562e50 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,929 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Environment
namespace Lean
namespace Expr
@[inline] def const? (e : Expr) : Option (Name × List Level) :=
match e with
| Expr.const n us _... |
77949f278150076a50881565d56b206445c4a581 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/metric_space/metrizable.lean | 8a016f62e60c763a2fad9304649ffc929cb30e78 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,776 | 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.specific_limits.basic
import topology.urysohns_lemma
import topology.continuous_function.bounded
import topology.uniform_space.cauchy
/-!
# Metriza... |
84d467c0e0226f4a6dfe204392fd9658bc3702bc | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/undergraduate/MAS114/Semester 1/Q18.lean | 11d17b5d4b4b0953a047a2fb883a472a3e5cb460 | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,192 | lean | import data.int.basic tactic.ring
namespace MAS114
namespace exercises_1
namespace Q18
variables (a b c d : ℤ)
lemma L_i : a ∣ b → b ∣ c → a ∣ c :=
begin
rintros ⟨uab,hab⟩ ⟨ubc,hbc⟩,
use uab * ubc,
rw[← mul_assoc,← hab,← hbc],
end
lemma L_ii : a ∣ b → a ∣ c → a ∣ (b + c) :=
begin
rintros ⟨uab,hab⟩ ⟨uac,hac⟩,
... |
f3133cc59508eee2047add65030d7d345cb27c30 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/constructions.lean | 2c46bacbb68d9ba773839a101588d02efc2842b6 | [
"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 | 2,865 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import data.finset.basic
/-!
# Constructions involving sets of sets.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mat... |
5bba1995a505c73bcccb830b206214c168fee352 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/interactive_expr_auto.lean | 91a79cf72ac16fc6b4e8cce606d3df394742a49e | [] | 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 | 1,120 | lean | /-
Copyright (c) 2020 E.W.Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: E.W.Ayers
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.PostPort
namespace Mathlib
/-!
# Widgets used for tactic state and term-mode goal display
The vsco... |
22bf8df132a7b1e1c410213aad8ace6c5820cc55 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Init/Control/Lawful.lean | ab1848d88d54394de811aed7aa55c407ff597106 | [
"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 | 14,444 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Leonardo de Moura
-/
prelude
import Init.SimpLemmas
import Init.Control.Except
import Init.Control.StateRef
open Function
@[simp] theorem monadLift_self [Mo... |
44898c35ca1d09420f0027c9bb5d1fa85d989a6d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/real/irrational.lean | 4a55f51166043047d5c1a25f28165fe434bfc1a3 | [] | 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 | 7,247 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Yury Kudryashov.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.real.sqrt
import Mat... |
db2a2534c8efd0aaafd4c6d331cbc15c5776e716 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/linear_algebra/affine_space/affine_equiv.lean | 7177d57104ed53a133e11f72824738e50aa251a4 | [
"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 | 17,546 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import linear_algebra.affine_space.affine_map
import algebra.invertible
/-!
# Affine equivalences
In this file we define `affine_equiv k P₁ P₂` (notation: `... |
16603ee5f0b77ee98ac42beb243ed710249f81a5 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/omega/misc.lean | 64718d92e33f9a762613401e8e6f8e62256f79cb | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 2,141 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
-/
/-
Miscellaneous.
-/
import tactic.localized
variables {α β γ : Type}
namespace omega
lemma fun_mono_2 {p : α → β → γ} {a1 a2 : α} {b1 b2 : β} :
a1 = a2 → b1 = b2 → (p a1... |
d3946777c8ae77d44c9f19dca2b00f84cf032d49 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /examples/lean/tactic1.lean | 4d1fa6b2494360af5a313b3216ea0a95a4e35440 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,729 | lean | -- This example demonstrates how to specify a proof skeleton that contains
-- "holes" that must be filled using user-defined tactics.
import tactic
(*
-- Define a simple tactic using Lua
auto = Repeat(OrElse(assumption_tac(), conj_tac(), conj_hyp_tac()))
conj_hyp = conj_hyp_tac()
conj = conj_tac()
*)
-- The (by ... |
02ac7a02e07f92ca0b37ed5a13902b60e75a17a0 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /algebra/lattice/filter.lean | 1da71d4825ad7f0074519bbdbce33ffa64127b7f | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 66,123 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of filters on sets.
-/
import .complete_lattice ...data.set .zorn
open lattice set
universes u v w x
section applicative
variables {f : Type u → Type v} [appli... |
1f8d951a03066f491252b6c8a31f7ee7ab2b7aeb | c777c32c8e484e195053731103c5e52af26a25d1 | /test/norm_num.lean | d2b98fdec5b8497e312177e398ae8617352d1c38 | [
"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 | 14,516 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import tactic.norm_num
import algebra.ring.pi
/-!
# Tests for `norm_num` extensions
-/
constant real : Type
notation `ℝ` := real
@[instance] constant real... |
0b44d165087b0d7ad616b98a8f20e4d11c30c861 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/abst.lean | e355e3809ca9153f44abca935911590860f02594 | [
"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 | 522 | lean | import Lean.Expr
new_frontend
open Lean
def tst : IO Unit :=
do
let f := mkConst `f;
let x := mkFVar `x;
let y := mkFVar `y;
let t := mkApp (mkApp (mkApp f x) y) (mkApp f x);
IO.println t;
let p := t.abstract [x, y].toArray;
IO.println p;
IO.println $ p.instantiateRev #[x, y];
let a := mkConst `a;
let b := mkApp f (mk... |
8b2ef9893c08f6dfcaddd6ca5216601082af12b0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/func.lean | 31d291be9da9cfe0d6676c63f78114e81a49fe00 | [
"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 | 10,362 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
import data.nat.basic
open list
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
namespace list
namespace func
variables {a : α}
variables {as as1 as2 as3 :... |
5cf607bd1d64a2e3c0a7873ae9451adf3b3c7381 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/complex/log.lean | 5a55d5b154cfc64199da1a8a0a0bd6d1b9542693 | [
"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 | 9,290 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.complex.arg
import analysis.special_functions.log.basic
/-!
# The co... |
6072a3984fdbd637230606143f3ea88f829de4bc | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/fractional_ideal.lean | 3abf8d6da03036b75c3da610b9a882328d5db5f4 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 50,274 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.localization
import ring_theory.noetherian
import ring_theory.principal_ideal_domain
import tactic.field_simp
/-!
# Fractional ide... |
b8809a9e4b72e6231eb28d69e9701bf1846384c2 | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/examples/groups/default.lean | 48171e84f2a51c1b041a829b761de32d58d6d2e7 | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,511 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.functor
import category_theory.tactics.obviously
open category_theory
namespace category_theory.examples.groups
universe u₁
def Group :... |
8c03954f9b862f704288c2a344c3f4ddd7386823 | 9338c56dfd6ceacc3e5e63e32a7918cfec5d5c69 | /src/Kenny/sites/lattice.lean | 667023a3564853b844f32ee46adae9451c0aa7e6 | [] | no_license | Project-Reykjavik/lean-scheme | 7322eefce504898ba33737970be89dc751108e2b | 6d3ec18fecfd174b79d0ce5c85a783f326dd50f6 | refs/heads/master | 1,669,426,172,632 | 1,578,284,588,000 | 1,578,284,588,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,638 | lean | import Kenny.sites.basic order.complete_boolean_algebra
universes u v
namespace lattice
class Sup_lattice (X : Type u) extends lattice X, has_Sup X :=
(le_Sup : ∀ {s : set X} {a : X}, a ∈ s → a ≤ Sup s)
(Sup_le : ∀ {s : set X} {a : X}, (∀ (b : X), b ∈ s → b ≤ a) → Sup s ≤ a)
class Sup_distrib_lattice (X : Type u) e... |
0f5c36a2a84855b1f0183b0a67d24388aedf2b2f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/zsqrtd/basic.lean | b120cc4079d915976fce0c146df3b7cf416632cd | [] | 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 | 20,566 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.associated
import Mathlib.tactic.ring
import Mathlib.PostPort
universes l
namesp... |
64beb667ccef253b1a90706735b952aaeec3e7e7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/seq/seq.lean | 182edc11ec884c27cacf4e8a3219aacf1fd4456a | [
"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 | 28,870 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
import data.lazy_list
import data.nat.basic
import data.stream.init
import data.seq.computation
namespace stream
universes u v w
/-
coinducti... |
541d8efe1db045d7a77ad4cb6c166dcf5a9ba27a | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/measure_theory/function/lp_space.lean | 75a62f4de02cd62a4d8a15414eaca46e383f01ee | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 111,370 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import analysis.normed_space.indicator_function
import analysis.normed.group.hom
import measure_theory.function.ess_sup
import measure_theory.function.... |
aa2a388bd49dd0f04b54462a50357b31e7b977f5 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/my_solutions/world3_le.lean | 897f4e3cf3fbeb8f54b58439fa35044fb3600d12 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 4,759 | lean | import solutions.world2_multiplication
import mynat.le
/- Here's what you get from the import:
1) The following data:
* a binary relation called mynat.le, and notation a ≤ b for this relation.
The definition is: a ≤ b ↔ ∃ c : mynat, b = a + c
2) The following axiom:
* `le_def (a b : mynat) : a ≤ b ↔ ∃ (c : m... |
8ad984ff1ecc1095522e884503322f51d62a1c5b | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/complex/circle.lean | da36d03cc234599023ba8b14a5ac16ccef8fa8b3 | [
"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 | 4,390 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.special_functions.exp
import topology.continuous_function.basic
/-!
# The circle
This file defines `circle` to be the metric sphere (`metric.spher... |
bf925bb08a3036c2de922caf5847e1ef014ca18d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/set_theory/game/impartial.lean | c39d6a61a9c481a9dfb737aa208a83753f748a8c | [
"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 | 7,349 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import set_theory.game.winner
import tactic.nth_rewrite.default
import tactic.equiv_rw
/-!
# Basic definitions about impartial (pre-)games
We will define an impartial gam... |
c613adbb8595e9b3bb516ac003e6bc000eb43685 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/control/functor/multivariate.lean | 1a381259d2df169279bf7d102330b040fb23977b | [] | 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 | 5,583 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fin2
import Mathlib.data.typevec
import Mathlib.logic.functi... |
0b6064f510ca66f9124652338cc6c67b4dc853ac | 618003631150032a5676f229d13a079ac875ff77 | /archive/examples/prop_encodable.lean | e441124c42a981fed12a36cd661245cbf1a04f69 | [
"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 | 2,972 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import data.W
/-!
# W types
The file `data/W.lean` shows that if `α` is an an encodable fintype and for every `a : α`,
`β a` is encodable, then `W β` is encodable.
A... |
29bc0e3c67fa24b7d07b91556f50e65e5fc2566a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1315b.lean | 6bf710ce3547f5a618bf6a1cc413dc3f3259b7e5 | [
"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 | 997 | lean | open nat
def k : ℕ := 0
def fails : Π (n : ℕ) (m : ℕ), ℕ
| 0 m := 0
| (succ n) m :=
match k with
| 0 := 0
| (succ i) :=
let val := m+1 in
match fails n val with
| 0 := 0
| (succ l) := 0
end
end
def test (k : ℕ) : Π (n : ℕ) (m : ℕ), ℕ
| 0 m := 0
| (succ n) m :=
match k with
| 0 := 1
... |
97b033ce77446387f631d4cc99404cea50c2db65 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/instances/ennreal.lean | 854a59f00a93a092b44f02d16046c0bb2d854451 | [
"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 | 41,822 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical topological_space e... |
48054129d03027045014fa92db010531929e15d8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/pnat/factors.lean | 97c1e25bfb319d743162796b803557a78b5b7e21 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 14,845 | 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.pnat.prime
import data.multiset.sort
import data.int.gcd
import algebra.group
/-!
# Prime factors of nonzero naturals
This file defines the factorizat... |
a810f443df0cea9cdbdddfe4fe513d6bd6e3afdf | c7114155c06e8d4370c3ac2c1919ac456fdbf3e7 | /src/solutions/01_equality_rewriting.lean | 4f975859f123f5ea71fcc1ece6a4eee9c8d8c09c | [
"Apache-2.0"
] | permissive | fcasal/tutorials | c2c04a30f756964b7db31159be216ba7a2779272 | 0644a78265959f576888824e11e78f89d210eaf7 | refs/heads/master | 1,658,194,417,828 | 1,590,057,408,000 | 1,590,057,408,000 | 265,922,436 | 0 | 0 | Apache-2.0 | 1,590,085,590,000 | 1,590,085,589,000 | null | UTF-8 | Lean | false | false | 5,601 | lean | import data.real.basic
/-
One of the earliest kind of proofs one encounters while learning mathematics is proving by
a calculation. It may not sound like a proof, but this is actually using lemmas expressing
properties of operations on numbers. It also uses the fundamental property of equality: if two
mathematical ob... |
303843c8abf44ac6f6c8c131f92f98e5ffda2cf2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/ring_hom/surjective.lean | b5d723521a0904f39a877bf43265e7445e0c0e9c | [
"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 | 2,421 | lean | /-
Copyright (c) 2022 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
/-!
# The meta properties of surjective ring homomorphisms.
-/
namespace ring_hom
open_locale tensor_product
open tensor_product a... |
eb5b28bdd7ba6984fdac814113d42d153772f0ca | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/io_unsafe_perform_io.lean | 39f78b3f4c7c7998bbd8eed01834cae104e9e660 | [
"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 | 285 | lean |
import system.io
open list io
def getD {ε α : Type} (d : α): except ε α → α
| (except.ok a) := a
| (except.error e) := d
meta def f (i : nat) : nat :=
getD 100 $ io.unsafe_perform_io (do put_str "value: ", print i, put_str "\n", pure i)
#eval list.map f [0,1,2,3,4]
|
5a69239a98a832232693a0d4f7c01a80755a4042 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/opposite.lean | 356e4876a73d8a9352e1570c1c9f01f94d5cdf0f | [
"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 | 4,444 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton, Simon Hudon, Kenny Lau
-/
import logic.equiv.basic
/-!
# Opposites
In this file we define a type synonym `opposite α := α`, denoted by `αᵒᵖ` and two syno... |
b3c38226d1bb7cdfea8a19a2c43e188811099ba3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/witt_vector/truncated.lean | 763f6b736c84167165dd2f217aa568266fc18d0f | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 14,177 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import ring_theory.witt_vector.init_tail
import tactic.equiv_rw
/-!
# Truncated Witt vectors
The ring of truncated Witt vectors (of length `n`) i... |
a0d63834847ddf44f96ee3b39e7df88743b75e72 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/padics/padic_numbers.lean | 778e8937e1c6eebf43ade9df2e698ac126ef7a53 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 39,217 | 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 number_theory.padics.padic_norm
import analysis.normed.field.basic
/-!
# p-adic numbers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this fi... |
89365888dc1caa18c70b84242cbf3a93d8da3708 | 4b4a91d762ac3b6ef8f164899a6a26fc125eddd6 | /src/level_2_group_actions.lean | 6cbb77a3084ec4b6c91f11b1f97b785bcd99647a | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/group-action-exercises | 955ceba8edb7eba7b8916690083829d321909aee | 197b1a0e53ec8d84bf3903c9ab5cddf615a44816 | refs/heads/master | 1,686,020,547,415 | 1,625,354,242,000 | 1,625,354,242,000 | 382,577,731 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,911 | lean | /-
Apache 2, because everyone else is doing it
Written by Kevin Buzzard summer 2021 in his shed.
Powered by `mathlib`, the leanprover-community, without which nothing
would have happened.
Thanks to Leo and everyone at Microsoft Research for Lean.
-/
-- This imports all user tactics and a whole bunch of basic mathemati... |
a86ed3177d1ad21ef73ca8f43ccfc3cdf9ba65f8 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/hit/pushout.hlean | 66b1d263a298cbf1c668fdda4d8480308310439b | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 8,621 | 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 pushout
-/
import .quotient cubical.square types.sigma
open quotient eq sum equiv equiv.ops is_trunc
namespace pushout
section
parameters {TL... |
d649a793f9c6db573d16eb8bfdecdc744efbffcf | bb31430994044506fa42fd667e2d556327e18dfe | /src/category_theory/monoidal/preadditive.lean | 9fb5c2b68234f2a05ab48a4f367747572121fb13 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 9,666 | 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.preadditive.additive_functor
import category_theory.monoidal.functor
/-!
# Preadditive monoidal categories
A monoidal category is `monoidal_p... |
d698a01fee1088a077be17564a5cd68852fd8bf2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/goTo2.lean | ca29f578e90f27acdd438d174b93c1cffc36f071 | [
"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 | 366 | lean | --
macro_rules | `($x + $y) => `(binop% HAdd.hAdd $x $y)
macro_rules | `($x ^ $y) => `(binop% HPow.hPow $x $y)
mutual
def h (x : Nat) : Int:=
match x with
| 0 => 1
--v textDocument/definition
| x+1 => r x + r x + h x ^ 2
--^ textDocument/definition
--^ textDocu... |
fb0f0c29b0093626ae6da4b78fdaabf52bc57849 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/InvolutiveFixedPoint.lean | 34192a6d76315a9656596c44cff9c426461d0d8e | [] | 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 | 7,093 | 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 InvolutiveFixedPoint
structure InvolutiveFixedPoint (A : Type) : Type :=
(prim : (A → A))
(one : A)
(fixes_prim_one : (prim one) = one)
(involutiv... |
92660714edf87c83dd2af5b04366f213b324f5c2 | 34c1747a946aa0941114ffca77a3b7c1e4cfb686 | /src/sheaves/sheaf_on_standard_basis.lean | a6709692832c9ebb2063fdee0f61e5ae0a518723 | [] | no_license | martrik/lean-scheme | 2b9edd63550c4579a451f793ab289af9fc79a16d | 033dc47192ba4c61e4e771701f5e29f8007e6332 | refs/heads/master | 1,588,866,287,405 | 1,554,922,682,000 | 1,554,922,682,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,084 | lean | /-
Sheaf (of types) on standard basis.
https://stacks.math.columbia.edu/tag/009L
-/
import topology.basic
import to_mathlib.opens
import sheaves.covering.covering_on_standard_basis
import sheaves.presheaf
import sheaves.stalk_on_basis
import sheaves.presheaf_of_rings_on_basis
universe u
open topological_space
... |
339132dcca6823f6435ebe447ccaa12eb63a0966 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/hom/equiv.lean | 4fcb7c96a05d41c571b11974efa5dfaa23c98d1b | [
"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 | 29,815 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import algebra.group.type_tags
import algebra.group_with_zero.basic
import data.pi.algebra
/-!
# Multiplicative and additive equivs
... |
a4b271ed6449cd7d0295e0a945980ce5903b213a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/pathsimp.lean | 112db1ab6e383e130317db68c1c1d9352a8d26c0 | [
"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 | 1,276 | lean | universes u v
inductive path {α : Type u} (a : α) : α → Type u
| refl : path a
namespace path
attribute [refl] path.refl
@[symm] def symm {α : Type u} {a b : α} (h : path a b) : path b a :=
by induction h; refl
@[trans] def trans {α : Type u} {a b c : α} (h : path a b) (h' : path b c) : path a c :=
by induction h;... |
8ab4d65ca7af2dda16b746728a9be15f524150b4 | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/graphs/default.lean | 467aa53d298098d45cf6259127bda695deee4ed2 | [] | no_license | RitaAhmadi/lean-category-theory | 4afb881c4b387ee2c8ce706c454fbf9db8897a29 | a27b4ae5eac978e9188d2e867c3d11d9a5b87a9e | refs/heads/master | 1,651,786,183,402 | 1,565,604,314,000 | 1,565,604,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,940 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan and Scott Morrison
import category_theory.tactics.obviously
import tidy.auto_cast
namespace category_theory.graphs
universes v₁ v₂ u₁ u₂
class graph (vertices ... |
5397e9cdb2be28c45344ccf70d41f04463eadf9e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inductionLetIssue.lean | 40a2b4300ba5181bf2ae884e023b86a075e0542b | [
"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 | 956 | lean | inductive P : Option Nat → Prop
| none : P .none
| somePos : x > 0 → P (some x)
def Option.get : (a : Option α) → a.isSome → α
| some a, _ => a
theorem aux (x? : Option Nat) (h₁ : P x?) (h₂ : x?.isSome) : x?.get h₂ > 0 := by
cases h₁ with
| none => contradiction
| somePos h => exact h
def f (x? : Option ... |
12564085b57bac349834024743925b013ef0e4a4 | 717dd237d6a1fdd246152ec47f261c5244f9eba6 | /lean4/division.lean | 382d2208b65a495f3c1567337343419f6113b3b4 | [] | no_license | lacker/kata | 32866813a6097218878f0ce327040d65a0aeb145 | 96b1d63e395c8cf02dc6abbbb5253f4cfe5fded6 | refs/heads/master | 1,692,275,692,563 | 1,691,955,719,000 | 1,691,955,719,000 | 87,217,280 | 19 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,917 | lean | open Classical
inductive Cnat where
| zero : Cnat
| succ : Cnat → Cnat
def add (a b : Cnat) : Cnat :=
match a with
| Cnat.zero => b
| Cnat.succ c => Cnat.succ (add c b)
theorem add_zero_right (x : Cnat) : add x Cnat.zero = x := by
induction x
case zero => rfl
case succ x' ih => simp [ih, add]
theore... |
24bde5d7e654c9967c7f74bf3b202a4f2d599284 | 92b13ae5cb04d78dd215ae736d93f5353e0e8e87 | /string_ext.lean | bc757cb11e6153b1a6028adc3e990ed9b9d4c215 | [] | no_license | jroesch/exp-compiler | f2dec4f17e769e7f3b41429c41ece1f004a3f209 | 6efd4512c80df947361bdada12415bc166db5e7f | refs/heads/master | 1,585,267,520,150 | 1,469,047,597,000 | 1,469,047,597,000 | 63,471,055 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 555 | lean | import init.string
open string
-- This version of the definition produces horrible code by doing cases_on 32
-- times, we should figure out how to make this legal, since this seems like
-- a really useful programming pattern that should not be punished.
-- definition is_space (c : char) : bool :=
-- match (fin.val c... |
5ead6b0b4ec490742dd1c985fde70c9158ac1eb3 | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/measure_theory/measure_space.lean | 74f1f9276ec2173c82d11efab390074f5416f635 | [
"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 | 114,018 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import measure_theory.measure_space_def
import measure_theory.measurable_space
/-!
# Measure spaces
The definition of a measure and a measure space ... |
7307dcb6199f359737528e8e27b9832f820f2db3 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/measure_theory/giry_monad.lean | b8ac01ad618e7c0bc73304d4bacdcec971e9b0a7 | [
"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 | 8,542 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import measure_theory.integration
/-!
# The Giry monad
Let X be a measurable space. The collection of all measures on X again
forms a measurable space. This constru... |
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