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642697f6423fff3a8674b787160c9cfc4f1eac30 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/topology/sheaves/sheaf.lean | cd0c19f638a33e37aa94aa5f2d5825e1cb219b27 | [
"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 | 10,785 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.presheaf
import category_theory.limits.punit
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
/-... |
d777dcea70b557a40068072ab0e2bd903243f9ab | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/notation3.lean | c806bd76db8567c9d263fb95c67b1e2104acbb52 | [
"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 | 148 | lean | import data.prod data.list data.num
open list prod num
constants a b : num
check [a, b, b]
check (a, true, a = b, b)
check (a, b)
check [1, 2+2, 3]
|
28b1e7ab282db916dc969d1684867d3730d40abc | 80162757f50b09d3cad5564907e4c9b00742e045 | /filter.lean | ffac3f51255f44cf7856d1085304d2c30d22658f | [] | no_license | EdAyers/edlib | cc30d0a54fed347a85b6df6045f68e6b48bc71a3 | 78b8c5d91f023f939c102837d748868e2f3ed27d | refs/heads/master | 1,586,459,758,216 | 1,571,322,179,000 | 1,571,322,179,000 | 160,538,917 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,902 | lean | import .set .lattice .order
open set lattice
structure filter (α:Type*) :=
(sets : set (set α))
(univ_sets : set.univ ∈ sets)
(sets_of_superset {X Y} : X ∈ sets → X ⊆ Y → Y ∈ sets)
(inter_sets {X Y} : X ∈ sets → Y ∈ sets → X ∩ Y ∈ sets)
namespace filter
universes u
variables {α : Type u} {ℱ 𝒢 : filter α} {X Y : set α... |
b882bb7aa0668b9b9dbfd5f3843e17c95ca04ec9 | 3863d2564418bccb1859e057bf5a4ef240e75fd7 | /hott/homotopy/hopf.hlean | d199ace9d8405711cb814750b3254dc29eabfa19 | [
"Apache-2.0"
] | permissive | JacobGross/lean | 118bbb067ff4d4af48a266face2c7eb9868fa91c | eb26087df940c54337cb807b4bc6d345d1fc1085 | refs/heads/master | 1,582,735,011,532 | 1,462,557,826,000 | 1,462,557,826,000 | 46,451,196 | 0 | 0 | null | 1,462,557,826,000 | 1,447,885,161,000 | C++ | UTF-8 | Lean | false | false | 6,811 | hlean | /-
Copyright (c) 2016 Ulrik Buchholtz and Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz, Egbert Rijke
H-spaces and the Hopf construction
-/
import types.equiv .wedge .join
open eq eq.ops equiv is_equiv is_conn is_trunc trunc susp join
... |
10088014cc316a7669f6fb4ad8c26466731ee318 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/nat/choose/basic.lean | b223f1400df931d469950630f9c188b70de285eb | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,437 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Bhavik Mehta
-/
import data.nat.factorial.basic
/-!
# Binomial coefficients
This file defines binomial coefficients and proves simple lemmas (i.e. those not
requiring mor... |
57748c4b224671cc0f2756e7d8419a3e9e78c611 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/number_theory/quadratic_reciprocity_auto.lean | 44571a435427b17c43c29958155677d9b54de610 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,436 | 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.field_theory.finite.basic
import Mathlib.data.zmod.basic
import Mathlib.data.nat.parity
import ... |
cba07cabbbf62afe3840e673a6c9d93bf9ecedff | 137c667471a40116a7afd7261f030b30180468c2 | /src/tactic/transform_decl.lean | 6959bcaa5e957f2eec8cc4c749c7c0f7bb034885 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,472 | lean | /-
Copyright (c) 2017 Mario Carneiro All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import tactic.core
namespace tactic
open expr
/-- Auxilliary function for `additive_test`. The bool argument *only* matters when applied
to exactly... |
5a75c44cb2efe7ac649ac76513eb875175693805 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/model_theory/basic.lean | e579841a4a73ef55de2820deb8262b01953ec83b | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,600 | lean | /-
Copyright (c) 2021 Aaron Anderson, Jesse Michael Han, Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jesse Michael Han, Floris van Doorn
-/
import data.nat.basic
import data.set_like.basic
import data.set.lattice
import order.closur... |
23248bb1cfc1c52ef16c343ffc99260d00c411fa | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Tactic/Revert.lean | 4d1cc137e9581f00b0b665d1728c1c0796808b8f | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,876 | 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.Meta.Tactic.Clear
namespace Lean.Meta
def revert (mvarId : MVarId) (fvarIds : Array FVarId) (preserveOrder : Bool := false) : MetaM (Array FVa... |
c3d3da3f846c23897ea16e06a9aaea79a0ecfa44 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /library/standard/binary.lean | c9eaa4717dddcaecb59470f64df7a567798a100b | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 980 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import logic
using eq_proofs
namespace binary
section
parameter {A : Type}
parameter f : A → A → A
infixl `*`:75 := f
abbreviation commutative :... |
35ab1fde38a6db126160dd7688a9c226ab7114b2 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/instances/real.lean | 12761309a2288356747e96b6bf7304bba8007c64 | [
"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 | 17,270 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
import ring_theory.subring
import group_theory.a... |
0656e82a7ee50a6e657f50e9f167cb716de48ce1 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/instances/real.lean | 392a2b62d06b8da31f7b368a30da37d98c9581c3 | [
"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 | 16,391 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
import ring_theory.subring
import group_theory.a... |
b76f16baf4ae4bb3ef70f0cb290086af03ade130 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/redundant_pattern.lean | 065498701058490d989804c57181b86da1937273 | [
"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 | 234 | lean | constants P : nat → Prop
constants R : nat → nat → Prop
constants f g : nat → nat
definition foo [forward] (m n k : nat) : P (f m) → P (g n) → P (f k) → P k ∧ R (g m) (f n) ∧ P (g m) ∧ P (f n) :=
sorry
print foo
|
6b134053d98e384ddad31debfec3f2c629cda5b0 | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/data/nat/gcd.lean | 899ca756d35a25f77b8d09a23bed9e9ecd171de1 | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 15,742 | 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
-/
import data.nat.basic
/-!
# Definitions and properties of `gcd`, `lcm`, and `coprime`
-/
namespace nat
/-! ### `gcd` -/
theorem gcd_dvd (m n : ℕ... |
3bcccc4a522e3d905f26534d2fa3e48c1ef8fb79 | 137c667471a40116a7afd7261f030b30180468c2 | /src/analysis/calculus/mean_value.lean | 9263f94bf532616757381483cb46d5f6e6f441d1 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 60,521 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.local_extr
import analysis.convex.topology
import data.complex.is_R_or_C
/-!
# The mean value inequality and equaliti... |
4b057245557db1043db1360cab2d78d2efc66019 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/mv_polynomial/funext.lean | ed08c70b9336c9806f90b8e32242fbeb9bb80d04 | [
"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 | 3,316 | 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 data.polynomial.ring_division
import data.mv_polynomial.rename
import ring_theory.polynomial.basic
/-!
## Function extensionality for multivariate polynomials... |
ff243ce6b137b51e5c4d67aec10aed3df67f1ad5 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/analysis/calculus/times_cont_diff.lean | bc63f85ead175d37c6a139b4b249a873eb20e003 | [
"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 | 129,556 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.mean_value
/-!
# Higher differentiability
A function is `C^1` on a domain if it is differentiable there, and its derivative is contin... |
8fa83fa854bdcfe2b4387f15208973e5108c86f1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/p_group.lean | cd1ac4f63fb67f4eb3c4e3ca30061e718fd9832f | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 11,995 | lean | /-
Copyright (c) 2018 . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import data.zmod.basic
import group_theory.index
import group_theory.group_action.conj_act
import group_theory.perm.cycle_type
import group_theory.quotient_group
/... |
c7b217d3c7ef9afff7b59e8dd89f8e02457597fc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/group/commutator.lean | 874c92a99f0e0352efe22f7f2b044178b2f91a5e | [
"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 | 688 | lean | /-
Copyright (c) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import algebra.group.defs
import data.bracket
/-!
# The bracket on a group given by commutator.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this ... |
f8e4f8a2694cc5551a67d692d055dd03e65db7a7 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/analysis/calculus/tangent_cone.lean | 54592889c52d3a3b3c3dd4b8f64832d15a5b5717 | [
"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 | 16,558 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.convex.basic
import analysis.normed_space.bounded_linear_maps
import analysis.specific_limits
/-!
# Tangent cone
In this file, we define two p... |
9adff29adf1bc34140d271ffe1986d1f2a5b3ff2 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/number_theory/zsqrtd/basic.lean | c65da606b3ebd6e9405819a3bfd963e1eaf349fa | [
"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 | 31,876 | 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 algebra.associated
import tactic.ring
/-! # ℤ[√d]
The ring of integers adjoined with a square root of `d : ℤ`.
After defining the norm, we show that it is a... |
85448b493908382337e8222e2dafbf99985972bc | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/succ_pred/basic.lean | a6ff473bbec3dff0074325963ba48932dd6b4ba9 | [
"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 | 38,119 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.complete_lattice
import order.cover
import order.iterate
import tactic.monotonicity
/-!
# Successor and predecessor
This file defines successor and predece... |
899017441327a0b19bcfc20759acad132090c0e4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/user_attribute.lean | 27506fc8d513595456fabc0da9e90e87c3b13bf5 | [
"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 | 851 | lean | definition foo_attr : user_attribute := ⟨`foo, "bar"⟩
run_command attribute.register `foo_attr
attribute [foo] eq.refl
print [foo]
print eq.refl
run_command attribute.get_instances `foo >>= tactic.pp >>= tactic.trace
print "---"
-- compound names
definition foo_baz_attr : user_attribute := ⟨`foo.baz, "bar"⟩
run_com... |
884ccffe5ad82765375e2195242a1d57fbcca40f | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/meta/simp_tactic.lean | c67de6b91f0b38e37868146c4c42e8e847e5b12d | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 27,811 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences
import init.data.op... |
db472748c3b00b22f187a544a0d132c3972e99dd | c9ba4946202cfd1e2586e71960dfed00503dcdf4 | /src/object_k/object_symbol.lean | c7e12a1f7b154aaeeba2bded3aee2fec48709bdc | [] | no_license | ammkrn/learning_semantics_of_k | f55f669b369e32ef8407c16521b21ac5c106dc4d | c1487b538e1decc0f1fd389cd36bc36d2da012ab | refs/heads/master | 1,588,081,593,954 | 1,552,449,093,000 | 1,552,449,093,000 | 175,315,800 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,568 | lean | import .object_sort
import .object_var
import meta_k.meta_symbol
-- ############################################
-- ##### object_symbol ##################
@[derive decidable_eq]
inductive object_symbol
| mk : string → list object_sort → list object_sort → object_sort → object_symbol
notation `~Symbol` := ob... |
8903492a5d786d5ff38c530ddbb8ea32ebb3a60a | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/solutions/thursday/category_theory/exercise7.lean | 2b7a39d2c2ab49f2860d5fecfc67719be3005a08 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,368 | lean | import category_theory.monoidal.category
import algebra.category.CommRing.basic
/-!
Let's define the category of monoid objects in a monoidal category.
-/
open category_theory
variables (C : Type*) [category C] [monoidal_category C]
structure Mon_ :=
(X : C)
(ι : 𝟙_ C ⟶ X)
(μ : X ⊗ X ⟶ X)
-- There are three missin... |
2c2bede432147dfb37a15d154004cff98dcac70f | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/group_power/basic.lean | bf9818b7fa7513e64f318d7ae99a73d583ccd75d | [
"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 | 17,470 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.order.ring
import tactic.monotonicity.basic
import group_theory.group_action.defs
/-!
# Power operations on monoids and groups
The pow... |
0e3c61306f4a1bbcdfd5f4004949946b81f3337b | 95a02f25ddbaf30f9e6fdb8043e6fd3c197ea01c | /src/axiomatization.lean | 0395b052a8a125e1912a742b5b158152a42bcaeb | [
"MIT"
] | permissive | praalhans/lean-abs | b23aad54878c06f5a495dfff63260b72d17e9b99 | 5d23eec7234c880f5ebc0d7b831caf55119edef8 | refs/heads/master | 1,587,416,771,564 | 1,575,885,115,000 | 1,575,885,115,000 | 169,097,861 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,059 | lean | /- Copyright 2019 (c) Hans-Dieter Hiep. All rights reserved. Released under MIT license as described in the file LICENSE. -/
import semantics
open list
variables {α β : Type} [objects α β]
/- We consider the conditions required for reachable global histories. -/
/- A global history is a sequence of events, restric... |
a6063955631ce4d0c72984e3303b4088977d8db9 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category/bitraversable/lemmas.lean | 71922635b7860272254663dcc2c32911ffbf3ec3 | [
"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 | 3,327 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import category.bitraversable.basic
/-!
# Bitraversable Lemmas
## Main definitions
* tfst - traverse on first functor argument
* tsnd - traverse on second functor ... |
02e231c37e68ba3a885553e8f3ee8a3ad786dbc4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/termination_by.lean | b1c239a99cf307c52669a4a930479c5a01e26f91 | [
"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 | 731 | lean | mutual
inductive Even : Nat → Prop
| base : Even 0
| step : Odd n → Even (n+1)
inductive Odd : Nat → Prop
| step : Even n → Odd (n+1)
end
termination_by' measure
mutual
def f (n : Nat) :=
if n == 0 then 0 else f (n / 2) + 1
termination_by' measure
end
def g' (n : Nat) :=
match n with
| 0 => 1... |
fe7061a991c7aa50e98daa56ca401a9341f88d00 | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/valuation_spectrum.lean | b253c649c56645c25479fb806971204c1e8da2b3 | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 9,950 | lean | import topology.order
import group_theory.quotient_group
import valuation.canonical
/-!
# Valuation Spectrum (Spv)
The API for the valuation spectrum of a commutative ring. Normally defined as
"the equivalence classes of valuations", there are set-theoretic issues.
These issues are easily solved by noting that two va... |
3b41e90bbef9976fec7e05a6ff48c6d2e2117b83 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /data/polynomial.lean | 4ec0bee65ceebed766dd277a1e2fbaf5212fa08e | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 85,125 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Jens Wagemaker
Theory of univariate polynomials, represented as `ℕ →₀ α`, where α is a commutative semiring.
-/
import data.finsupp algebra.euclidean_domai... |
90c44bfe1b0fd0f48f99e86ce95ebd6d07534638 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/topology/instances/real.lean | c850fb12012ea20fec477bfa48fa0dba815f37dc | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,664 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
import topology.algebra.continuous_functions
imp... |
07e121f4bb1a96b324cec6a0633afb765b6678a1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/group_power/basic.lean | 509d2de3d6e166a1891de9a3517b85175ddded81 | [
"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 | 26,586 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.ordered_ring
import tactic.monotonicity.basic
import deprecated.group
/-!
# Power operations on monoids and groups
The power operation... |
0248e5e17d3e86592498acd944174a208032206a | fe84e287c662151bb313504482b218a503b972f3 | /src/data/cfrac/cfrac.lean | 2e9dd62eef8521325f3dc788da7152afe631271b | [] | 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 | 9,409 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file attempts to define the rationals using a variant of
continued fractions as the primary definition. Essentially,
the point is that any strictly positive ra... |
d7a823872ebc634f4e3994361688930103e93522 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/hole_in_fn.lean | 866aad72b9ff628aa12ce4b204165be9892124a0 | [
"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 | 84 | lean |
inductive foo
| mk : (nat → nat) → foo
definition f : foo :=
foo.mk (λ n, _)
|
984c762f4ae0a78eb34719d31846665edd67e3d6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/monoid/type_tags.lean | f0544665e062f1484bf774172cd7c96d706d0149 | [
"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 | 4,660 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.group.type_tags
import algebra.order.monoid.cancel.defs
import algebra.order.monoid.canonical.defs
/-... |
6a0e19decd4e5f62d9db2c8edf8d8ce15eee1894 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/lattice.lean | eed3fafc02a1899ce6d938a942a9685942578dd5 | [
"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 | 7,675 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import order.complete_lattice
import category_theory.limits.shapes.pullbacks
import category_theory.category.preorder
import category_theory.limits.s... |
d863a64cce84885cd07e26a918c9b474b745f6da | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/bench/qsort.lean | e271596a13855db391cb5d691d1a2217d7902a58 | [
"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 | 2,460 | lean | #lang lean4
abbrev Elem := UInt32
def badRand (seed : Elem) : Elem :=
seed * 1664525 + 1013904223
def mkRandomArray : Nat → Elem → Array Elem → Array Elem
| 0, seed, as => as
| i+1, seed, as => mkRandomArray i (badRand seed) (as.push seed)
partial def checkSortedAux (a : Array Elem) : Nat → IO Unit
| i =>
if i <... |
eae9b346baec4fc5d53b62296efad65b5fb62800 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/tactic/interval_cases.lean | 0672f18f01204baf66f2aa9eaa70113d2176fa0d | [
"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 | 10,987 | 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 data.fintype.intervals
import tactic.fin_cases
/-!
# Case bash on variables in finite intervals
This file provides the tactic `interval_cases`. `interval_cas... |
593ceb882792464a8525e7b32f050342c1d8ca7c | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/category_theory/monad/basic.lean | 387437f257047cb24a5897af188fc12695e00997 | [
"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 | 2,117 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.functor_category
namespace category_theory
open category
universes v₁ u₁ -- declare the `v`'s first; see `category_theory.categ... |
dc5e2bd993e4d12c853265bf65968de819fedc6c | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/algebra/module.lean | 4dd710e2dd1548d5faa6ca12b48ef4469dcad608 | [
"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 | 48,953 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov
-/
import topology.algebra.ring
import topology.uniform_space.uniform_embedding
import algebra.algebra.basic
import li... |
68d9edb2e9d06c581840f95d27d1794e6e11d21e | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/list/default.lean | 807ad2a5a339b61ad0514acbd26620904040f505 | [
"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 | 717 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import data.list.alist
import data.list.bag_inter
import data.list.basic
import data.list.chain
import data.list.defs
import data.list.erase_dup
import data.list... |
631b068a420dea6ae2db4c69382351952977c278 | 00de0c30dd1b090ed139f65c82ea6deb48c3f4c2 | /src/algebra/group_with_zero.lean | f173e166c5edb2942703889df7f403cea443dc2f | [
"Apache-2.0"
] | permissive | paulvanwamelen/mathlib | 4b9c5c19eec71b475f3dd515cd8785f1c8515f26 | 79e296bdc9f83b9447dc1b81730d36f63a99f72d | refs/heads/master | 1,667,766,172,625 | 1,590,239,595,000 | 1,590,239,595,000 | 266,392,625 | 0 | 0 | Apache-2.0 | 1,590,257,277,000 | 1,590,257,277,000 | null | UTF-8 | Lean | false | false | 19,139 | 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 algebra.group.units
import algebra.ring
import tactic.push_neg
/-!
# Groups with an adjoined zero element
This file describes structures that are not usually... |
ce03a5cca24a4cc64449921a700d664494a1d17a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/star/chsh.lean | 019da618b60143850de3635113f5cd0810c4c31b | [
"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 | 11,333 | 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.star.basic
import algebra.algebra.ordered
import analysis.special_functions.pow
/-!
# The Clauser-Horne-Shimony-Holt inequality and Tsirelson's inequa... |
8c4c180e3c984f6c499fefb29843a6fda1837c48 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/fin/basic.lean | 2597d23aafd75334adeda9eeaa239dc58c6f86d0 | [
"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 | 78,572 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import data.nat.cast
import data.int.basic
import tactic.localized
import tactic.apply_fun
import order.rel_iso
/-!
# The finite type with `n` element... |
298f54e3b5089080f608a1359e016128bd581533 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/order/field.lean | 0a07899914a9d1695b74a09117ff8235aca703d8 | [
"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 | 34,281 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-/
import algebra.order.field_defs
/-!
# Linear ordered (semi)fields
A linear ordered (semi)field is a (semi)field equ... |
66c155f0686f831992fc204e9685893ff3748725 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/ring_theory/ideal_operations.lean | a46c2ee08fa523a17e417ab05eb66cdc73da2c63 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 26,863 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
More operations on modules and ideals.
-/
import ring_theory.ideals data.nat.choose order.zorn
import linear_algebra.tensor_product
import data.equiv.algebra
import ring_theory.... |
944f1b80ccb8508bf40813983cd7ac04c0790725 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/ring.lean | 49894673b7973ec681ee09bdc00145bf9617c298 | [] | 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 | 13,298 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.norm_num
import Mathlib.data.int.range
import Mathlib.PostPort
universes u_1 l
na... |
ca2d5a4c1b7a9a5205b4925db1d6f1019f79a074 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/matrix/general_linear_group.lean | 5a6c6f6e3505132248ee2c1e6fdf0812a5afcf56 | [
"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 | 8,611 | lean | /-
Copyright (c) 2021 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import linear_algebra.general_linear_group
import linear_algebra.matrix.nonsingular_inverse
import linear_algebra.matrix.special_linear_group
/-!
# The General Linea... |
38b0a47945df88b0eeb271a1c569098d8d7686ff | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Lean/ResolveName.lean | f9b2ace28a8f214ab2a5398a54c472c42fd38762 | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,994 | 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, Sebastian Ullrich
-/
import Lean.Data.OpenDecl
import Lean.Hygiene
import Lean.Modifiers
import Lean.Exception
namespace Lean
/-!
We use aliases to impleme... |
6e1a6d4e74ea0516ecb07a19eacd1040e8190d52 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/metric_space/thickened_indicator.lean | 59f690929ae744e4fe8fafe05650d1b1d3cd1dc6 | [
"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 | 11,751 | lean | /-
Copyright (c) 2022 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import data.real.ennreal
import topology.continuous_function.bounded
import topology.metric_space.hausdorff_distance
/-!
# Thickened indicators
This file is about thick... |
6df6deebb1c579f34f17e0e67d2b5150675229c8 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/parserPrio.lean | 60c052ad5ecf4aed36462c83e088673fa809f0c9 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 861 | lean |
-- New notation that overlaps with existing notation
syntax [myPair, 100] "(" term "," term ")" : term
macro_rules[myPair]
| `(($a, $b)) => `([$a, $b])
#eval (1, 2) -- not ambiguous since myPair parser has higher priority
theorem ex1 : (1, 2) = [1, 2] :=
rfl
-- Define macro for expanding the builtin triple notati... |
44553314b6a361ddb3ce69d8e8171299af999352 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/zmod.lean | 85aa3d4eed097c0c11964838b1fa021e192a8dad | [
"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 | 1,024 | lean | /-
Copyright (c) 2022 Alex J. Best. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best
-/
import algebra.squarefree
import data.zmod.basic
import ring_theory.int.basic
/-!
# Ring theoretic facts about `zmod n`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any... |
11c03186550575f6fc330bbe3732de8c0c3fbc3f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/logic/equiv/defs.lean | d473f09861fdc0afef71bae25def10ba5a42a2e6 | [
"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 | 35,353 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
import data.fun_like.equiv
import logic.unique
/-!
# Equivalence between types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github... |
7d1cfbe13ee120caff3746db9bb7a360b819dfab | b73bd2854495d87ad5ce4f247cfcd6faa7e71c7e | /src/game/world1/level3.lean | 59a44c2502c3094ff5e18a39ff0bd10ccaa5f5ed | [] | no_license | agusakov/category-theory-game | 20db0b26270e0c95a3d5605498570273d72f731d | 652dd7e90ae706643b2a597e2c938403653e167d | refs/heads/master | 1,669,201,216,310 | 1,595,740,057,000 | 1,595,740,057,000 | 280,895,295 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,152 | lean | import category_theory.category.default
universes v u -- The order in this declaration matters: v often needs to be explicitly specified while u often can be omitted
namespace category_theory
variables (C : Type u) [category.{v} C]
/-
# Category world
## Level 3: The `specialize` tactic
-/
/-So recall that, in t... |
e92f1f7542f928a06bba2fd55d25c27162c4f8a9 | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/for_mathlib/sequences.lean | 57f05f51fa035d8f9588f4d1f79e54715d67c445 | [] | no_license | mr-infty/lean-liquid | 3ff89d1f66244b434654c59bdbd6b77cb7de0109 | a8db559073d2101173775ccbd85729d3a4f1ed4d | refs/heads/master | 1,678,465,145,334 | 1,614,565,310,000 | 1,614,565,310,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,684 | lean | import topology.sequences
import topology.algebra.normed_group
import topology.algebra.group_completion
import topology.metric_space.completion
import for_mathlib.normed_group_hom
-- **TODO** Move completion.normed_group out of for_mathlib.locally_constant
noncomputable theory
open filter set function
open_locale u... |
0dba7468fccad9f52c0ba2a11b05a184987d0aaa | c777c32c8e484e195053731103c5e52af26a25d1 | /src/group_theory/p_group.lean | c07f252b002d113a96af9f8012e4f0c27e161cb0 | [
"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 | 16,265 | lean | /-
Copyright (c) 2018 . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Thomas Browning
-/
import data.zmod.basic
import group_theory.index
import group_theory.group_action.conj_act
import group_theory.group_action.quotient
import group_theory.perm.cycle.... |
31fa9cc24f4f79ac1c3e3202dd650ab7bc39de25 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /EXAMS/exam1-practice-key.lean | 4a48917af3e57aa0876251ec9a41e51787025fb0 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 7,953 | lean | /-***************-/
/- ** BASICS ** --/
/-***************-/
/-
# A
Write a defintion of x as a value of
type nat having the specific value 0.
Be sure it type-checks.
-/
def x := 0
/-
# B
Write a definition of f as a function
of type ℕ → ℕ that returns the square of
the value to which it is applied (i.e.,
that it... |
a9b151612160d71ddc5ef58106dd554219b4005e | fe25de614feb5587799621c41487aaee0d083b08 | /src/Lean/Meta/DiscrTree.lean | 65e77260687f6e2ae6f816e215b83f4e1ece818d | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,154 | 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.FunInfo
import Lean.Meta.InferType
import Lean.Meta.WHNF
namespace Lean.Meta.DiscrTree
/-
(Imperfect) discriminat... |
de8ea3786b9fb457eedc2defcc3c185ae82f49a8 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/omega_complete_partial_order.lean | 471392a666fce99bc490df368b06d9f50b3bf071 | [
"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 | 27,635 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import control.monad.basic
import data.part
import order.hom.order
import tactic.monotonicity
import tactic.wlog
/-!
# Omega Complete Partial Orders
An omega-complete par... |
4c2f8c94ddfbfb94b3b75e8cbff1c2de66746c58 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/lib/array.lean | 1032f34a2d818956cdf58b83105d131d1f57c7cb | [
"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 | 1,982 | lean | universes u v z
namespace array
-- TODO Prove well-founded induction
meta def mmap_copy_aux {k : Type v → Type z} [monad k] {α : Type u} {β : Type v} {n m : ℕ} (f : α → k β) : ℕ → array n α → array m β → k (array m β)
| r x y := do if h : r < n ∧ r < m then do
let fn : fin n := ⟨r, and.elim_left h⟩,
... |
d483c1bf63a101b62ce8c961f79d6a8fdbb8b0d4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/schwartz_space.lean | 86c4d8105c34e338c1d5a3c5731608dbd42ce207 | [
"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 | 36,520 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import analysis.calculus.cont_diff
import analysis.calculus.iterated_deriv
import analysis.locally_convex.with_seminorms
import topology.algebra.uniform_filter_basis
impor... |
8c04816b151425d10b15740745d82aaf4ec397e3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/functor/equivalence.hlean | 6b303a7e88e826f77ca9744b47004bafdbeafd81 | [
"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 | 16,019 | 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
Functors which are equivalences or isomorphisms
-/
import .adjoint
open eq functor iso prod nat_trans is_equiv equiv is_trunc
namespace category
variables {C D... |
69bfaba39d80d6ba8a60c8139c985ab4e394583c | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/list/cycle.lean | 44dc4f313759aa13b796398e3b2b04885dcf160f | [
"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 | 24,224 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.multiset.sort
import data.fintype.list
import data.list.rotate
/-!
# Cycles of a list
Lists have an equivalence relation of whether they are rotationa... |
e9c4f209a6ec998cf60ce79c7fe2895a7e21904d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/basic.lean | 1b6797a857051a72c6030d530e05689bbfbec7ec | [
"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 | 964 | lean | import tactic.alias
import tactic.clear
import tactic.choose
import tactic.converter.apply_congr
import tactic.congr
import tactic.dec_trivial
import tactic.delta_instance
import tactic.dependencies
import tactic.elide
import tactic.explode
import tactic.find
import tactic.finish
import tactic.generalizes
import tactic... |
7904425b5e38c6704ab6f5c6465c6183de763ab1 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/list/pairwise.lean | 2f4a72a0c2c2192ca1b5340b5563f86bec930c87 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 14,229 | 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.list.basic
open nat function
universes u v
variables {α : Type u} {β : Type v}
namespace list
/- pairwise relation (generalized no duplicate) -/
mk_... |
8a5ff46bd20c408eca75a8d65225948c739cc15d | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebraic_topology/dold_kan/p_infty.lean | d63259f68d3e95a00a0c6c2d47ad56c64d1eeae4 | [
"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 | 5,850 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.projections
import category_theory.idempotents.functor_categories
import category_theory.idempotents.functor_extension
/-!
# Construction ... |
c0ce192ec85e6360dc827e33b207329a9322fa89 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Init/Data/Int/Basic.lean | 5e8081cbc8981e36cdda57a6514fac58d6a6dce1 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,824 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
The integers, with addition, multiplication, and subtraction.
-/
prelude
import Init.Data.Nat.Basic
import Init.Data.List
import Init.Data.Repr
import ... |
7a019809804e4ded2e03b888f1625d8489da4111 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/preserves/shapes/zero.lean | 999241a5ad2911c342a79f123b3856bad33d6dba | [
"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 | 5,765 | lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.preserves.shapes.terminal
import category_theory.limits.shapes.zero_morphisms
/-!
# Preservation of zero objects and zero morphisms
We d... |
ec2f6c0aead60876d5933d174d084300b4ce6f52 | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Lean/PrettyPrinter/Parenthesizer.lean | 84228d1ab01ef96b238279d58be34329aadb85ed | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,340 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The parenthesizer inserts parentheses into a `Syntax` object where syntactically necessary, usually as an intermediary
step between the delaborator and the... |
9ba5979770e1f628c73d6f2dd46037dd66c680b4 | d450724ba99f5b50b57d244eb41fef9f6789db81 | /src/instructor/lectures/lecture_19.lean | 9ccbc61792210eb6f57ca2f3062589d6ab6a3ff3 | [] | no_license | jakekauff/CS2120F21 | 4f009adeb4ce4a148442b562196d66cc6c04530c | e69529ec6f5d47a554291c4241a3d8ec4fe8f5ad | refs/heads/main | 1,693,841,880,030 | 1,637,604,848,000 | 1,637,604,848,000 | 399,946,698 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,657 | lean | import data.set
/-
PART II: BASIC SET THEORY
Give formal and English language proofs of
the following conjectures.
-/
/-
We'll use our favorite set, of the even
numbers, in what follows, so we define it
again here.
-/
def evens : set ℕ := { n | n%2 = 0}
/-
PROOFS INVOLVING SUBSET RELATIONS
-/
example : ({ 0, 2 ... |
ad3b536f4862f60d8275d82f2aad74856f9d1a08 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/analytic/radius_liminf.lean | bbaad072c93dea4ff19d1db393bdf782edce5a1e | [
"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 | 2,619 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.analytic.basic
import analysis.special_functions.pow.nnreal
/-!
# Representation of `formal_multilinear_series.radius` as a `liminf`
> THIS FILE I... |
c078d2648d4c6339357715823218735976c586cc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/interactive.lean | d67f6f68595d524886aee7f7d06122adbe621dfc | [] | 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 | 13,969 | 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, Sebastien Gouezel, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.lint.default
import Mathlib.tactic.d... |
40901ae1e73c737cd28b5b15bb8241c37e450223 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/algebra/filter_basis.lean | 128547789d5e7eb3b4602069a7c5889e98139cc8 | [
"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 | 15,921 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import order.filter.bases
import topology.algebra.module
/-!
# Group and ring filter bases
A `group_filter_basis` is a `filter_basis` on a group with some propertie... |
2d7ad911edbb33240a18ca91890696d96d23efa1 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/subobject/mono_over.lean | 0325ade408c0438f8fc44c6e0e2c375875c2d5ee | [
"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 | 13,503 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.functor.currying
import category_theory.limits.over
import category_theory.limits.shapes.images
import category_theory.adjunction.r... |
ee8eacfb72c6c3c3d3d606f880c233e684697cab | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/testing/slim_check/testable.lean | 0481621177560251c25d25d1fca07bb135eead9c | [
"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 | 21,242 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import testing.slim_check.sampleable
/-!
# `testable` Class
Testable propositions have a procedure that can generate counter-examples
together with a proof that they i... |
c7d885e5bd3de6bc5612be1ea8092372158d7546 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/pexpr.lean | 589d52ee65fad2d5e731e7a4b0a6ef6d155ba3e3 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,054 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.expr
universe variables u
/- Quoted expressions. They can be converted into expressions by using a tactic. -/
meta constant pexpr ... |
fa50c032e7797c4440cb2fcff057eaec8b1fc0cd | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-numbertheory-35.lean | 0f8c8fb8b6b73418f09bf94b45ffd5b61dffa6da | [
"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 | 420 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import algebra.big_operators.basic
import data.real.basic
import data.nat.basic
import data.finset.basic
open_locale big_operators
example (h₀ : fintype { n : ℕ | n ∣ (nat.sqr... |
b6e6eb5494e47d2ac94d39828f7c74ae365d0cc0 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/number_theory/padics/padic_integers.lean | c917e1a259bc1d6e5b42e6ffe331c1c12f5b06a4 | [
"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 | 21,237 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro, Johan Commelin
-/
import data.int.modeq
import number_theory.padics.padic_numbers
import ring_theory.discrete_valuation_ring
import topology.metric_sp... |
52aca5b186702432289df8dfa5cf803055af33f8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/linear_recurrence.lean | 6b57b51ca8cfee32d2a0a2d848d515948839c7a5 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,192 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import data.polynomial.eval
import linear_algebra.dimension
/-!
# Linear recurrence
Informally, a "linear recurrence" is an assertion of the form
`∀ n : ℕ, u (n... |
d0e7592fa918420969a7282aff7fb6d04b0ca300 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/ind2.lean | 133a3b65c639a1032e5c8c4c7c51ec02cbd23ba6 | [
"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 | 338 | lean | prelude
inductive nat : Type
| zero : nat
| succ : nat → nat
namespace nat end nat open nat
inductive {u} vector (A : Type u) : nat → Type u
| vnil : vector zero
| vcons : Π {n : nat}, A → vector n → vector (succ n)
namespace vector end vector open vector
check vector.{1}
check vnil.{1}
check vcons.{1}
check vector.r... |
89f43bb51c725c02516c0f0207b3a94d8d4411d2 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /data/rat.lean | f8ab85d6313c473adf0178a765188518f8345aa5 | [
"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 | 41,468 | 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
Introduces the rational numbers as discrete, linear ordered field.
-/
import
data.nat.gcd data.pnat data.int.basic data.equiv.encodable order.basic
... |
edd11f353a557a84ab22bd104d910ae1f0a27350 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/measure_theory/measure/hausdorff.lean | d184f29cee4d8221e1461f73704b8b196e23f2a4 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,508 | 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 topology.metric_space.metric_separated
import measure_theory.constructions.borel_space
import analysis.special_functions.pow
import measure_theory.measure.le... |
8ef0e76099df52e2f1d7b541887f231bcfebe411 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/macroid.lean | f6c43d743cfa86212c4a196eb96cc251edb2fc34 | [
"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 | 619 | lean | new_frontend
syntax "[" ident "↦" term "]" : term
macro_rules `([$x ↦ $v]) => `(fun $x => $v)
#check [x ↦ x + 1]
syntax "case!" ident ":" term "with" term "," term : term
macro_rules `(case! $h : $c with $t, $e) => `((fun $h => cond $h $t $e) $c)
#check case! h : 0 == 0 with h, not h
syntax "case2!" ident ":" term... |
02e99a9b417b676015c68a653adf9ffe584b9ab2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/num/bitwise.lean | 4ea3eb1ed0eb44967791af741337d32fdb67c45e | [
"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 | 11,139 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.num.basic
import data.bitvec.core
/-!
# Bitwise operations using binary representation of integers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> A... |
9343c60a87dfa8abdca99d45cf9eed87306fa968 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/representation_theory/Action.lean | bb29fd03d19cce698c463e54b4a6c067214e57dc | [
"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 | 17,229 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.basic
import category_theory.single_obj
import category_theory.limits.functor_category
import category_theory.limits.preserves.basic
imp... |
312bc895fd784e47bae694eb49bfc16979bb1c08 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/small_complete.lean | e416c868d121280150c7fc567d5b35f4f253e81a | [
"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 | 2,038 | 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 category_theory.limits.shapes.products
import set_theory.cardinal.basic
/-!
# Any small complete category is a preorder
We show that any small category which ha... |
b7464507d56ad8288a929e5c4422aaaf0a679436 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/algebra/ordered_group.lean | 97ae9b818d62d029ed6818b8659d3e866bc1ed04 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 28,217 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
Ordered monoids and groups.
-/
import algebra.group.units algebra.group.with_one algebra.group.type_tags
import order.bounded_lattice tactic.basic
univ... |
edcebe14cca77bf0729d8e1844a3649fed0198cb | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/calculus/lagrange_multipliers.lean | 0e001fa1211cb9ab8ff1f7772a4a1a49abd31eb9 | [
"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 | 7,975 | 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.calculus.inverse
import linear_algebra.dual
/-!
# Lagrange multipliers
In this file we formalize the
[Lagrange multipliers](https://en.wikipedia.o... |
d8df56206232643e859d6ebe6c41597b86aa0ea1 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/types/default.lean | dacb9dcd00a45becec8c68f3fe58fc84217beede | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 993 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import ..category
import ..full_subcategory
import ..isomorphism
namespace categories.types
open categories
open categories.isomorphism
definit... |
179344ea059fd22cf0a483c266b1a6c4c0c21f12 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/affine_space/affine_map.lean | b4d03594fd543501697002300254da62abf5fe78 | [
"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 | 22,174 | 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 linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import linear_algebra.prod
import linear_algebra.pi
import data.set.intervals.unordered_inte... |
936309a484def6f51471bc06366a4555f1fb6207 | a5271082abc327bbe26fc4acdaa885da9582cefa | /src/fol.lean | 0aad82622365c1ab6f67d2186a6cc7f9b424504e | [
"Apache-2.0"
] | permissive | avigad/embed | 9ee7d104609eeded173ca1e6e7a1925897b1652a | 0e3612028d4039d29d06239ef03bc50576ca0f8b | refs/heads/master | 1,584,548,951,613 | 1,527,883,346,000 | 1,527,883,346,000 | 134,967,973 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,396 | lean | import .prop
namespace fol
variable {α : Type}
class is_symb (α : Type) extends prop.is_symb α :=
(fa : α) (ex : α)
inductive symb : Type
| fn : string → symb
| prd : string → symb
| true : symb
| false : symb
| not : symb
| and : symb
| or : symb
| imp : symb
| fa : symb
| ex : symb
instance : decidable_eq ... |
66a0506cac929ce745a6003f1f972ad20529ea0a | 6d2e314e8334c895b6c9e10c64e593ac1e587c47 | /Test.lean | 3a6f6f0d8d5b7d1c896d1d5de8e074e6c0ca401a | [] | no_license | rwbarton/lean4-test | 7cf35a17f6df773e3b7f4e5db2fc84d1d544b112 | 6ca157fd66cd3823f22776ee854013a010bd6451 | refs/heads/master | 1,677,625,439,988 | 1,612,288,659,000 | 1,612,288,659,000 | 335,378,526 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 38 | lean | def myDouble (x : Int) : Int := x + x
|
15de0dc0ee4c0d59e44672a3d84de34eb4b861df | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/ideal/basic.lean | 8b17a2a09b71e9577cbaaacc834d96e829ae865d | [
"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 | 30,466 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.associated
import linear_algebra.basic
import order.zorn
import order.atoms
import order.compactly_generated
/-!
# Ideals over a r... |
4556e4d07e8578c86e1c4c8132adf3dd578ae74f | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/finset/card.lean | 24bcd3a1af01174bbf806b1606657d545f43705f | [
"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 | 10,423 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Cardinality calculations for finite sets.
-/
import .to_set .bigops data.set.function data.nat.power
open nat eq.ops
namespace finset
variables {A B : Type}
vari... |
6633e8b00acc46b6b8d0b148033f3117d76979e9 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/types/eq.hlean | 85a33b36aaae1d7a3cb0c83dfc0b2232a30c34ff | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,326 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: types.eq
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about path types (identity types)
-/
open eq sigma sigma.ops equiv is_equiv
namespace eq
/- Path spaces -/
var... |
fe0ed7e4185cbd3d01c5ac495761080b85d74818 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/measure_theory/measure_space.lean | 2b6dda6cfa79f5e0d492908882fff4ae476375df | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 35,583 | 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 data.set.lattice data.set.finite
import topology.instances.ennreal
measure_theory.outer_measure
/-!
# Measure spaces
Measures are rest... |
950f13d552831c8b420757930fc490d5dfbfef9d | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /tests/lean/run/rb_map1.lean | 4010e22ecdf24b7c641b52af61ee4b57e3713b7d | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 696 | lean | import system.io
open io
section
open native.nat_map
#eval size (insert (insert (mk nat) 10 20) 10 21)
meta definition m := (insert (insert (insert (mk nat) 10 20) 5 50) 10 21)
#eval find m 10
#eval find m 5
#eval find m 8
#eval contains m 5
#eval contains m 8
open list
meta definition m2 := of_list [((1:nat), "on... |
1c7f982640319ac62941300098548ac756fe3323 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ring_hom/surjective.lean | 82cf95993fdab5ff0e593f756c652684103dfe53 | [
"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 | 2,589 | 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.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file req... |
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