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b32cffd2628e78a98b8d077a7cacba59278ac7b1 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/multiplicity.lean | 42c7328c1909447bdd72de5fb45bf09022b375ce | [
"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 | 20,413 | 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, Chris Hughes
-/
import algebra.associated
import algebra.big_operators.basic
import ring_theory.valuation.basic
/-!
# Multiplicity of a divisor
For a commutative mo... |
4123a076ee203c355b0c42690d3d6a6f6b9c846a | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170425-unfolding.lean | b9e9a317db827eee53b21b4e2da70a71917cc835 | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 488 | lean | structure X :=
( x : nat )
definition S ( a : X ) : X := { x := a.x }
definition f ( a : X ) ( n : nat ) : nat := 1
lemma foo ( a : X ) : f (S a) (S a).x = 0 :=
begin
-- I want a tactic that will unfold `(S a).x` to `a.x`, but leave the other `(S a)` entirely alone.
-- Use transitivity for first simplification
... |
c99c4fc4e74625f1496a3e1ea60459b76e249808 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/algebra/binary.lean | 46ad727fd62603fb22933f9990fc22d4ade002d3 | [
"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 | 3,297 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
General properties of binary operations.
-/
open eq.ops function
namespace binary
section
variable {A : Type}
variables (op₁ : A → A... |
edbcab0fdcff9a62395ca118727f3bcbe8bc8eb6 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/undergraduate/MAS114/Semester 1/Q04.lean | e0120c35910263b47699a146c088670af5dbc64e | [] | 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 | 9,752 | lean | import data.fintype
namespace MAS114
namespace exercises_1
namespace Q04
/-
This question is about "gappy sets", ie subsets s in
fin n = {0,...,n-1} such that s contains no adjacent pairs
{i,i+1}.
-/
/- We find it convenient to introduce a new notation for
the zero element in fin m. Notice that this only ... |
3b719896bd39d03636b62311455f06a63ca0eda5 | 137c667471a40116a7afd7261f030b30180468c2 | /src/analysis/normed_space/normed_group_hom.lean | b5f63bcc8df8c8b685fa35d742584ea9debdd4ff | [
"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 | 26,768 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import analysis.normed_space.basic
import topology.sequences
/-!
# Normed groups homomorphisms
This file gathers definitions and elementary constructions about bou... |
40f0d06d99401641b80574690d5c487c329cf347 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/defs.lean | d8f5f6acc5333b916fef735f16e434af3ebe9bd1 | [
"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 | 36,547 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import data.option.defs
import logic.basic
import tactic.cache
/-!
## Definitions on lists
Th... |
c966016ab782fa28b82c4714e87260068998cd4f | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/convex/integral.lean | 0b88e49d52c6d5b77cb75e6fbf5f645381c3a18b | [
"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 | 7,703 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import analysis.convex.basic
import measure_theory.set_integral
/-!
# Jensen's inequality for integrals
In this file we prove four theorems:
* `convex.smul_... |
e028f43adf4723c0a21b8a9ec8b83814e97917bc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/polynomial/dickson.lean | 3d051565a0439463286b18c66af1e5b7b55cea8a | [
"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 | 10,665 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import algebra.char_p.invertible
import data.zmod.basic
import field_theory.finite.basic
import ring_theory.localization.fraction_ring
import ring_theory.poly... |
d0bec98adf72c6b0c427d4052b9cecadad91e789 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/algebra/field_power.lean | 083d11cc22ae93da794be43a0619a68b80f39bcd | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 5,251 | 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
Integer power operation on fields.
-/
import algebra.group_power tactic.wlog
universe u
section field_power
open int nat
variables {α : Type u} [division_ring α]
... |
069153fbabf801e27ec69230827be3aa2e0a33e6 | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/meta/options.lean | 10471a8787c920c049900ed93dca134a5fb38aef | [
"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 | 1,296 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.name
universe variables u
meta constant options : Type
meta constant options.size : options → nat
me... |
f9861accb55a25b2479ca66c33f1e43a12194d39 | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/HITs/moebius.lean | 3d27fd05b4380b8711db8a4bf256c1b793ce2a29 | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 856 | lean | import ground_zero.cubical
/-
The Möbius band as quotient of square I × I.
* https://en.wikipedia.org/wiki/M%C3%B6bius_strip#Topology
-------->
| A |
| |
| A |
<--------
Edges labelled A are joined that
so the directions of arrows match.
-/
namespace ground_zero.HITs
open ground_zero.... |
abfdb3039ff456b1ba5fc8bd904000bf59977002 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/bundle.lean | 4b05142e2f0a459228ab51032ca7901cecca841d | [
"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 | 5,233 | lean | /-
Copyright © 2021 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import algebra.module.basic
/-!
# Bundle
Basic data structure to implement fiber bundles, vector bundles (maybe fibrations?), etc. This file
should contain all pos... |
5f5a02b4d7443212f3c3404cb33f7eae4221ddae | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/char_p/basic.lean | a5d0123f34b529261408c0ddca8e82e009ac93b9 | [
"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 | 16,749 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Joey van Langen, Casper Putz
-/
import data.int.modeq
import algebra.iterate_hom
import data.nat.choose.sum
import group_theory.order_of_element
import data.nat.choose.dvd
/-!
#... |
1359bca8ae5063d5c74d1be081bb5900c7eb536f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/meta.lean | 271169b240db95d2d399cfb8e42fb67ac5a73a56 | [
"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 | 18 | lean | print metaclasses
|
3562be445eac0d0b228c29dcaf27f5cc138685bc | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /07_Induction_and_Recursion.org.4.lean | ff3de6adc6b8acf1740f6d8a517ebea2260c7731 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 265 | lean | /- page 100 -/
import standard
open bool
definition neg : bool → bool
| neg tt := ff
| neg ff := tt
theorem neg_neg : ∀ (b : bool), neg (neg b) = b
| neg_neg tt := rfl -- proof that neg (neg tt) = tt
| neg_neg ff := rfl -- proof that neg (neg ff) = ff
|
301ee98ab07d8012e8637224ff7aeaa8642eecba | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/Parser/Syntax.lean | 8e61288b8c706bae33e56886dc15042d19814ed9 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,777 | 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.Parser.Command
import Lean.Parser.Tactic
namespace Lean
namespace Parser
@[init] def regBuiltinSyntaxParserAttr : IO Unit :... |
a20359a967eea512f18f0011d6fda198ee0678c7 | 735bb6d9c54e20a6bdc031c27bff1717e68886b9 | /tools/binders.lean | 3674055d5e0d5d0df75f83f873a597c4eff35085 | [] | no_license | digama0/library_dev | 3ea441564c4d7eca54a562b701febaa4db6a1061 | 56520d5d1dda46d87c98bf3acdf850672fdab00f | refs/heads/master | 1,611,047,574,219 | 1,500,469,648,000 | 1,500,469,648,000 | 87,738,883 | 0 | 0 | null | 1,491,771,880,000 | 1,491,771,879,000 | null | UTF-8 | Lean | false | false | 7,824 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Binder elimination
-/
import standard
import ..algebra.lattice
#exit -- conv was essentially killed
/-
|- t = ?m x y z
-/
namespace conv
open tactic monad
meta... |
ff2befa54f2049f2efed93b0ffc98ea1ddade519 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/logic/function/basic.lean | a9ca7d4410e2c4ad36fc2d82f95face2b83e44de | [
"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 | 32,758 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.option.defs
import logic.nonempty
import tactic.cache
/-!
# Miscellaneous function constructions and lemmas
-/
universes u v w
namespac... |
30bfc2396db2a350c6523d5d13af736151866ce2 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/homotopy/circle.hlean | f1091920e21bb8afc507e64958bf3ab671c53000 | [
"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 | 10,497 | 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 circle
-/
import .sphere
import types.bool types.int.hott types.equiv
import algebra.homotopy_group algebra.hott
open eq susp bool sphere_index... |
ca9f9ffd9c8189403e61ab2aba0047a1f5c2e80d | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/let_tac.lean | c64acc5ca2a36fef5945375036f279205a537483 | [
"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 | 316 | lean | import data.nat
open algebra
example (a b : Prop) : a → b → a ∧ b :=
begin
intro Ha, intro Hb,
let aux := and.intro Ha Hb,
exact aux
end
open nat
example (a b : nat) : a > 0 → b > 0 → a + b + 0 > 0 :=
begin
intro agt0, intro bgt0,
let H := add_pos agt0 bgt0,
change a + b > 0,
exact H
end
|
6673cbad28937946a55da8b5755cff0a66b6f650 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /05_Interacting_with_Lean.org.11.lean | 175f65d27180716057d37cca7adf2a58ae007422 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 208 | lean | /- page 67 -/
import standard
import standard algebra.ordered_ring
open nat algebra
-- BEGIN
check @add_le_add_left
check @add_le_add_right
check @le_of_mul_le_mul_left
check @le_of_mul_le_mul_right
-- END
|
9c3eb2ba481da438281189ec653911f4e8c55c54 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/list/nat_antidiagonal.lean | 425741eb2c28d93fff636b69cb4b7cc4cf3bbe84 | [
"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 | 2,302 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.list.range
/-!
# Antidiagonals in ℕ × ℕ as lists
This file defines the antidiagonals of ℕ × ℕ as lists: the `n`-th antidiagonal is the list of
pairs `(i... |
a0f267ef19f62cda95c16766b977c1c2f5f65aed | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/nat/modeq.lean | ec1a8265fecbaba01b44f52b0df333a63579a084 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 20,418 | 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.int.gcd
import data.list.rotate
import tactic.abel
/-!
# Congruences modulo a natural number
This file defines the equivalence relation `a ≡ b [MOD n]` ... |
69bb8319367d4537df80e32ea2bd42edaeba8734 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/data/fintype.lean | ab03a30ac3e705ed8d75242cab83bffe3430d557 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 32,016 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas logic.unique
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
/-- `fintype α` me... |
a138cf1cbdc2fa934f0c24b8f9dd8e04bc2476b7 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/seminorm.lean | 611c1d738fdf49fea7ace29c2a8fbf54a1e6d33c | [
"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 | 8,101 | 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 algebra.pointwise
import analysis.normed_space.basic
/-!
# Seminorms and Local Convexity
This file introduces the following notions, defined for a vector space
over a nor... |
52ef8d214966b1bec146633450a7b7062252e7e6 | 7bf54883c04ff2856c37f76a79599ceb380c1996 | /non-mathlib/roots.lean | 919b03f579f919c0d6f62f6139ca5653da7c9eee | [] | no_license | anonymousLeanDocsHosting/lean-polynomials | 4094466bf19acc0d1a47b4cabb60d8c21ddb2b00 | 361ef4cb7b68ef47d43b85cfa2d13f2ea0a47613 | refs/heads/main | 1,691,112,899,935 | 1,631,819,522,000 | 1,631,819,522,000 | 405,448,439 | 0 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 24,050 | lean | import field_definition
import field_results
import numbers
/- We can apply an additional contraint onto a field that it has some notion of square roots.
It is not necessary to define any properties of square roots other than (sqrt (a) * sqrt (a) = a) . -/
class fld_with_sqrt (f : Type) [myfld f] :=
(sqrt : f ->... |
af03002cae47f0001962af7dc15cea245c2828cc | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /tactic/ring.lean | 2148a6d8059df65379bc6e840553a666768db7f2 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 17,194 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Evaluate expressions in the language of (semi-)rings.
Based on http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf .
-/
import algebra.group_power tactic... |
870bf7217ec1b56fa7db6261f6a111535f2d0ecf | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/char.lean | 70c6b1566c09a339b2c2bb48c81fed96c2dc37b3 | [
"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 | 901 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
/-!
# More `char` instances
This file provides a `linear_order` instance on `char`. `char` is the type of Unicode scalar values.
-/
instance : linear_order char :=... |
a065b2b6f5fa6f6ec2d3d812535a69df65287ed3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/opposites.lean | 00f7ca6069333195582083407b00a99646f6fb66 | [
"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 | 29,056 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Floris van Doorn
-/
import category_theory.limits.filtered
import category_theory.limits.shapes.finite_products
import category_theory.discrete_category
import tactic.e... |
61a70cd5cc9c1d3579866f7d34f30f3c1dedbc15 | 7da5ceac20aaab989eeb795a4be9639982e7b35a | /src/category_theory/limits/shapes/equalizers.lean | 46f46b5c04fa12cbd210ee5f0d9ff2d02ab7ebfa | [
"MIT"
] | permissive | formalabstracts/formalabstracts | 46c2f1b3a172e62ca6ffeb46fbbdf1705718af49 | b0173da1af45421239d44492eeecd54bf65ee0f6 | refs/heads/master | 1,606,896,370,374 | 1,572,988,776,000 | 1,572,988,776,000 | 96,763,004 | 165 | 28 | null | 1,555,709,319,000 | 1,499,680,948,000 | Lean | UTF-8 | Lean | false | false | 4,719 | 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 .pullbacks ...basic
open category_theory
namespace category_theory.limits
-- local attribute [tidy] tactic.case_bash
universes v u
@[derive decidable_... |
41c10c152569d11ff6912bb5a6060b176b73c750 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/lie_algebra.lean | 80113b4e37fe1e631c2de75941e951ad607358ae | [
"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 | 42,214 | lean | /-
Copyright (c) 2019 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import ring_theory.algebra
import linear_algebra.linear_action
import linear_algebra.bilinear_form
import linear_algebra.direct_sum.finsupp
import tactic.noncomm_ring
/-!
... |
961124211be8281907b6b1ea3a4dde71937cbffa | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/new_compiler.lean | 377e6f72393ffcc543938f04914d47767388548b | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 1,746 | lean |
universes u v w r s
set_option trace.compiler.stage1 true
-- set_option pp.explicit true
set_option pp.binder_types false
-- set_option pp.proofs true
def foo (n : Nat) : Nat :=
let x := Nat.zero;
let x1 := Nat.succ x;
let x2 := Nat.succ x1;
let x3 := Nat.succ x2;
let x4 := Nat.succ x3;
let x5 := Nat.succ x4;
let x... |
7beeb4110da5132965adc13ecf7a4449c974d7a2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/liftMethodInMacrosIssue.lean | 9792196ce854dc31b5261838214de27c5c76bfc3 | [
"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 | 514 | lean |
def foo (x : Nat) : IO Bool := do
if x == 0 then
throw $ IO.userError "foo: unexpected zero"
pure (x == 1)
def tst (x : Nat) : IO Unit := do
if x == 0 then
IO.println "x is 0"
else if (← foo x) then
IO.println "x is 1"
else
IO.println "other"
#eval tst 0
#eval tst 1
#eval tst 2
syntax term "<|||>" term : do... |
128f5b4b23fb177b54c9b3b8a0a212fa81037b4e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/presheaf.lean | 9139a4069e2cb351d31bfdfd8598525c4554b16a | [
"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 | 15,980 | 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.adjunction.limits
import category_theory.adjunction.opposites
import category_theory.elements
import category_theory.limits.functor_category
import... |
6df7f0efe8cc99c206f298e867ef4edb59448e08 | 66a6486e19b71391cc438afee5f081a4257564ec | /spectrum/trunc.hlean | ced901b51de10870958d895b6c1a750280471ae3 | [
"Apache-2.0"
] | permissive | spiceghello/Spectral | c8ccd1e32d4b6a9132ccee20fcba44b477cd0331 | 20023aa3de27c22ab9f9b4a177f5a1efdec2b19f | refs/heads/master | 1,611,263,374,078 | 1,523,349,717,000 | 1,523,349,717,000 | 92,312,239 | 0 | 0 | null | 1,495,642,470,000 | 1,495,642,470,000 | null | UTF-8 | Lean | false | false | 10,943 | hlean | /-
Copyright (c) 2017 Floris van Doorn and Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Ulrik Buchholtz
Truncatedness and truncation of spectra
-/
import .basic
open int trunc eq is_trunc lift unit pointed equiv is_equiv algebra E... |
59d51bd6d4339de5f2293a4b87af1b00bb3baab1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/group/add_torsor.lean | 6642720beafb01a4de373f99dd070d205ec1915d | [
"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 | 10,881 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Yury Kudryashov
-/
import analysis.normed.group.basic
import linear_algebra.affine_space.affine_subspace
import linear_algebra.affine_space.midpoint
/-!
# Torsors of addit... |
154d305ab410a88236e1f46a3c382667afd5bd7a | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/set_theory/ordinal.lean | b5dedd03b45d0bfddee05e1c6311bd420cf7eaf8 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 124,817 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Ordinal arithmetic.
Ordinals are defined as equivalences of well-ordered sets by order isomorphism.
-/
import order.order_iso set_theory.cardinal data.sum
noncomputable... |
2e074faafc8295cbbe9f84aab47ffa433c129211 | 827a8a5c2041b1d7f55e128581f583dfbd65ecf6 | /propositional_truncation.hlean | 3586740c0318d32fb91857122a5d9740edb6c135 | [
"Apache-2.0"
] | permissive | fpvandoorn/leansnippets | 6af0499f6f3fd2c07e4b580734d77b67574e7c27 | 601bafbe07e9534af76f60994d6bdf741996ef93 | refs/heads/master | 1,590,063,910,882 | 1,545,093,878,000 | 1,545,093,878,000 | 36,044,957 | 2 | 2 | null | 1,442,619,708,000 | 1,432,256,875,000 | Lean | UTF-8 | Lean | false | false | 14,124 | hlean | import types.eq types.pi hit.colimit types.nat.hott hit.trunc cubical.square
open eq is_trunc unit quotient seq_colim pi nat equiv sum algebra
/-
NOTE: THIS IS AN OLD PROOF. A SIMPLER PROOF CAN BE FOUND in cpp.hlean
In this file we define the propositional truncation (see very bottom), which, given (X : Type)
... |
9b3c387d194c64256c6bf44b0046fa7a07d9a883 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Meta/LevelDefEq.lean | 4473f86c40583e8fa6fbae202c302f1d0575ef1a | [
"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 | 8,757 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.InferType
namespace Lean
namespace Meta
private partial def decAux? : Level → MetaM (Option Level)
| Level.zero _ ... |
c7b23cd5d7cce02f12d3907af3ca65c0cbd46187 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/bracket.lean | 4372992dcfd76c7dc10435f661520037a027fb88 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 1,456 | lean | /-
Copyright (c) 2021 Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Lutz, Oliver Nash
-/
/-!
# Bracket Notation
This file provides notation which can be used for the Lie bracket, for the commutator of two
subgroups, and for other similar operat... |
9900145371ce11b6f8f79e0ce80bedf3bf6818a7 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/adjoin_root.lean | d2c0007771cef42c667ac04674ffca6d4d192f6d | [
"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 | 32,292 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
-/
import algebra.algebra.basic
import data.polynomial.field_division
import field_theory.minpoly.basic
import ring_theory.adjoin.basic
import ring_theory.... |
f94b8217ca1368e0f88bad943f258e21fd6207b1 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/init/num.lean | 2884e7da22b705e4e34f233bc321e35b2a76b262 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,266 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic init.bool
open bool
definition pos_num.is_inhabited [instance] : inhabited pos_num :=
inhabited.mk pos_num.one
namespace pos_nu... |
35143ad6d2d90a8a2ccf5d653d8e8c9abb59a5ac | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/topology/separation.lean | 0f6a841dbad74f74a3fbcd99cb7a44f909826515 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,080 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Separation properties of topological spaces.
-/
import topology.subset_properties
open set filter
open_locale topological_space filter
local attribute ... |
946ec438acda88523078e95dbc007f9c14a3e6c2 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/nat/choose/dvd.lean | 64ab70013cbab45c57c79c5a65ec5ac16ab16f1b | [
"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 | 1,221 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Patrick Stevens
-/
import data.nat.choose.basic
import data.nat.prime
/-!
# Divisibility properties of binomial coefficients
-/
namespace nat
namespace prime
open_locale ... |
5e35976e26716af9c0b2329ddaefdcdb83e352df | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Deriving/Util.lean | 009dd21404aebbbd92272d856058e260a50b5859 | [
"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 | 6,917 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Term
import Lean.Elab.Term
namespace Lean.Elab.Deriving
open Meta
def implicitBinderF := Parser.Term.implicitBinder
def instBinderF ... |
1ff503dbe16ba9ee4dde94f9111fb9d6d597cc7e | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/tree_subterm_pred.lean | 51c32891fb1fb371b44d4aa91404d29aba64543c | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,937 | lean | import logic
open eq.ops
inductive tree (A : Type) :=
leaf : A → tree A,
node : tree A → tree A → tree A
namespace tree
inductive direct_subterm {A : Type} : tree A → tree A → Prop :=
node_l : Π (l r : tree A), direct_subterm l (node l r),
node_r : Π (l r : tree A), direct_subterm r (node l r)
definition direct_sub... |
370d8d8b2465214f6f9adc12a6ee4de19f4e09a9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/metric_space/basic.lean | 35a6e65f133cde09185dac9ade123e3507739c97 | [
"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 | 124,053 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.int.interval
import topology.algebra.order.compact
import topology.metric_space.e... |
20154954332066d55ba501a4564018c207bb7dcf | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/complex/is_R_or_C.lean | e417e3e209d13b69833cf77da8442323d89e3f12 | [
"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 | 36,325 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import data.real.sqrt
import field_theory.tower
import analysis.normed_space.finite_dimension
import analysis.normed_space.star.basic
/-!
# `is_R_or_C`: a typeclas... |
2ea2f4417b4842a45c2c0118de2d6870c3e085ef | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/leanpkg/b/B.lean | 3d031b53f21d242081c7954a56a0d32c8a072f45 | [
"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 | 62 | lean | import A
def main : IO Unit :=
IO.println "Hello, {name}!"
|
9da9a19fc3c60658337e9a9ed0c6f0af6bb5080e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/interactive/missing.lean | 11cf755041187e22668d342827cf89f0c3368388 | [
"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 | 314 | lean | import logic
inductive tree (A : Type) :=
leaf : A → tree A|
node : tree A → tree A → tree A
namespace tree
definition below_rec {A : Type} (t : tree A) {P : tree A → Type} (iH : Π (t : tree A), P t) : P t :=
have general : ∀ (t : tree A),
P t, from
-- take t, iH t,
sorry,
general t
end tree
|
1d40698ffe17a61dd0ce0b65efef885703400b65 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/submonoid/operations.lean | 6bbaa22b8daa4789562d60f4fe161200f63eb2ac | [] | 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 | 25,481 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathl... |
bdf037fc273da9395a27a431709ea967cf722937 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /tests/lean/run/matchArrayLit.lean | 39559462d1e76c0485ba1c08c7b760358a0585ce | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,085 | lean |
universes u v
theorem eqLitOfSize0 {α : Type u} (a : Array α) (hsz : a.size = 0) : a = #[] :=
a.toArrayLitEq 0 hsz
theorem eqLitOfSize1 {α : Type u} (a : Array α) (hsz : a.size = 1) : a = #[a.getLit 0 hsz (ofDecideEqTrue rfl)] :=
a.toArrayLitEq 1 hsz
theorem eqLitOfSize2 {α : Type u} (a : Array α) (hsz : a.size = 2... |
edaf5af67b139df97fd6fc2abeab81fe4f9f05bc | abd85493667895c57a7507870867b28124b3998f | /src/deprecated/submonoid.lean | 1f0017ca2b8912cd2af2987a0b415e80d638b415 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 20,428 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard
-/
import group_theory.submonoid
/-!
# Submonoids
This file defines unbundled multiplicative and additive sub... |
cc966b9add0b8c50490418d936e87da4f748ecb1 | 4f643cce24b2d005aeeb5004c2316a8d6cc7f3b1 | /omin/presheaf_choice.lean | 9bdd18c7bed01ba4798660bdbace47c0729db037 | [] | no_license | rwbarton/lean-omin | da209ed061d64db65a8f7f71f198064986f30eb9 | fd733c6d95ef6f4743aae97de5e15df79877c00e | refs/heads/master | 1,674,408,673,325 | 1,607,343,535,000 | 1,607,343,535,000 | 285,150,399 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,311 | lean | import .presheaf2
import .def_choice.choice
namespace o_minimal
variables {R : Type*} {S : struc R}
/- NB:
Some lemmas in this file have an unnecessarily strong [OQM R] hypothesis
where [DUNLO R] (or maybe even nothing) would be enough;
that's just because they are lemmas about things which were defined
under a stan... |
f80cf751cc7b0cb20477483e32f5f6155ff38402 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/univ.hlean | bf396ba6748dcc8283cc34ac4eeee778951d3612 | [
"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 | 4,921 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about the universe
-/
-- see also init.ua
import .bool .trunc .lift .pullback
open is_trunc bool lift unit eq pi equiv sum sigma fiber prod pullback is_e... |
de8f10c899ec8cda78cd442c9adf311421f99f26 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/field_theory/tower.lean | 521d4eff0783119de1ddbaa2efa5194a079710a8 | [] | 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 | 4,144 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.algebra_tower
import Mathlib.linear_algebra.matrix
import Mathlib.PostPort
universes u v... |
aebc94177d79157b1ea6ba74ad8e26afea23ff23 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/set_theory/ordinal_notation.lean | 8d9ba5d8913c3ca0064c80f65b2d4633d4077230 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 35,744 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Ordinal notations (constructive ordinal arithmetic for ordinals < ε₀).
-/
import set_theory.ordinal data.pnat.basic
open ordinal
local notation `ω` := omega.{0}
/-- Re... |
399dba7cc801964cfd200de4e9eded3a4346bb60 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/matrix/basic.lean | 6b32afe45ee3ce23f96d3eff24aa0feaffa1ebb9 | [
"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 | 72,187 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin, Lu-Ming Zhang
-/
import algebra.algebra.basic
import algebra.big_operators.pi
import algebra.big_operators.ring
import ... |
0425ad1341446ed97e824db10f86721b5dc52585 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Elab/SyntheticMVars.lean | ae2b3bb0e1e4db1c1ff940f32e9715dc649d1a0d | [
"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 | 12,615 | 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, Sebastian Ullrich
-/
import Lean.Elab.Term
import Lean.Elab.Tactic.Basic
namespace Lean
namespace Elab
namespace Term
open Tactic (TacticM evalTactic getUns... |
4bfff00ec449c2a8e2501b3d5d378e0287cc5c82 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/data/bool.lean | 756b8fc6a723a752d4669bb72b244e7b2bc1aca6 | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 3,569 | 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.eq
open eq eq.ops decidable
namespace bool
local attribute bor [reducible]
local attribute band [reducible]
theorem dichotomy (b : bool... |
4b01c03b5f35ef2bbb41d4e40c2d0484cb7b1d3f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/paracompact.lean | 672ffe7f71075603244586085e8eee88c3207562 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 15,237 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Yury Kudryashov
-/
import topology.subset_properties
import topology.separation
import data.option.basic
/-!
# Paracompact topological spaces
> THIS FILE IS SYNCHRONIZE... |
073bc317830b8a4d6653e8652174d4db4ed21435 | d86d87b5d977229d06b07d5853d72ff583325634 | /cool.lean | aed6a920380ef140bf20f66ec77cf6b9264d2153 | [] | no_license | ezrasitorus/matrices | 6440c54da81f0971193c8584ed42ce1c748c0294 | f412d066a1ac7d33d06f81a1a5aa347644c00c9f | refs/heads/master | 1,670,160,489,593 | 1,598,040,300,000 | 1,598,040,300,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16 | lean | ℝ
ℝ²
θ
λ |
7271e6271585101f66f4c5f6ef16e4f40921ba63 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/group_with_zero/basic.lean | 4735407c984f37ccd3e9c4c6fc2b305b79e5d999 | [
"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 | 36,359 | 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 logic.nontrivial
import algebra.group.units_hom
import algebra.group.inj_surj
import algebra.group_with_zero.defs
/-!
# Groups with an adjoined zero element
... |
07588ba4835526c2ba51ea4bab5845848fff25b6 | 141a24caeb72a0cfbc7b490f36ead29eea9f7324 | /lean/tour.lean | c918ac9fd21cf4be03fa2ceb01b8de6ce7d83bd8 | [] | no_license | joaogui1/Recreational | a5fcebfd0f48ad6bcda4b679be1f0ddc8959e11e | 365d5eb99e7c016409b82970901476ba7eadc705 | refs/heads/main | 1,680,773,766,593 | 1,680,386,239,000 | 1,680,386,239,000 | 149,201,587 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,530 | lean | namespace BasicFunctions
#eval 2+2
def sampleFunction1 x := x*x + 3
def result1 := sampleFunction1 4573
#eval println! "The result of squaring the integer 4573 and adding 3 is {result1}"
def sampleFunction2 (x : Nat) := 2*x*x - x + 3
def result2 := sampleFunction2 (7 + 4)
#eval println! "The result of applying t... |
146408fa7f64875ce5e2ad0a3511ae0477d7104a | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebraic_topology/dold_kan/functor_n.lean | 1a54418c218d994fbd3d1fc33de791a51c1f6ab5 | [
"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 | 2,319 | 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.p_infty
/-!
# Construction of functors N for the Dold-Kan correspondence
TODO (@joelriou) continue adding the various files referenced be... |
9bef0f8fe9fb9432dd102dfcdffa8fcc81ed15ff | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Init/Data/Nat/Linear.lean | a5ef959918e775c79dd3f3b34eba3e70d6ccf07e | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 30,046 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Coe
import Init.Classical
import Init.SimpLemmas
import Init.Data.Nat.Basic
import Init.Data.List.Basic
import Init.Data.Prod
namespace... |
07962aa5c7453a7d8b96f3f32dd33c920a19623d | 35960c5b117752aca7e3e7767c0b393e4dbd72a7 | /src/typ/lc.lean | 08ea46ca90da3086e48c2521a6048b5f3507e917 | [
"Apache-2.0"
] | permissive | spl/tts | 461dc76b83df8db47e4660d0941dc97e6d4fd7d1 | b65298fea68ce47c8ed3ba3dbce71c1a20dd3481 | refs/heads/master | 1,541,049,198,347 | 1,537,967,023,000 | 1,537,967,029,000 | 119,653,145 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,383 | lean | import typ.open
namespace tts ------------------------------------------------------------------
namespace typ ------------------------------------------------------------------
variables {V : Type} [_root_.decidable_eq V] -- Type of variable names
variables {t t₁ t₂ : typ V} -- Types
variables {ts : list (typ V)} -- ... |
13c2c4722bdb1289d16f6e0e28aa7c629f02ba51 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/holor.lean | 87ab56a7ab96131e688c7750b71b55b3055647aa | [
"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 | 14,185 | lean | /-
Copyright (c) 2018 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import algebra.module.pi
import algebra.big_operators.basic
/-!
# Basic properties of holors
Holors are indexed collections of tensor coefficients. Confusin... |
b2dc637f21c72d9465a499f36581e4d4d8e5f00f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/projection.lean | 7a24b999effd89193d22646bb512704bdbfa21c5 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 12,985 | 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 linear_algebra.basic
import linear_algebra.prod
/-!
# Projection to a subspace
In this file we define
* `linear_proj_of_is_compl (p q : submodule R E) (h :... |
4ea08db2daf0740ec423fb44fce6cd97aed4278a | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/lie/classical.lean | ef6c02b596675b323c14f9f693223aa0c1f73f7f | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,416 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.invertible
import algebra.lie.skew_adjoint
import algebra.lie.abelian
import linear_algebra.matrix.trace
import linear_algebra.matrix.transvection
import dat... |
8fc8836b94fc5b905117ffffc6e5e0edcd576307 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/combinatorics/composition.lean | 835c1e596461e68e0ee56b90543bb5a2be39a20c | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 34,340 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.fintype.card
import tactic.omega
/-!
# Compositions
A composition of an integer `n` is a decomposition `n = i₀ + ... + i_{k-1}` of `n` into a sum ... |
fab077692fc6b2fb4a068398dd8d2003a22c8ad6 | 7a468d7c7c0949ab8b191bb62ff6d4d2af9f3917 | /test/unit.lean | 2224c08bd580f86fea425479b7544e505f79eb9f | [
"Apache-2.0"
] | permissive | seanpm2001/LeanProver_SMT2_Interface | c15b2fba021c406d965655b182eef54a14121b82 | 7ff0ce248b68ea4db2a2d4966a97b5786da05ed7 | refs/heads/master | 1,688,599,220,366 | 1,547,825,187,000 | 1,547,825,187,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 173 | lean | import smt2
lemma fstar_goal_with_unit
(a b q : nat)
(prf_b : 0 < b)
(prf_q : 0 < q)
(p : unit → Prop)
(x : forall (x : unit), p x) : a = a :=
begin
z3 "fst.log"
end
|
2d79d6cddbf17e73c5e020fe5a34941e8af160d2 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/nat/gcd.lean | c7e10c5a0d0161746e17561bd9c87d187acc5357 | [
"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 | 16,658 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
Definitions and properties of gcd, lcm, and coprime.
-/
import .div
open well_founded decidable prod
namespace nat
/- gcd -/
private definition pair... |
613afe940af2c99e37b27b6d971703744f92eb6e | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/complex/exponential.lean | 518ee9cb4b9dcbee08429386a36338ecda83206b | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 49,895 | 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
-/
import algebra.geom_sum
import data.nat.choose
import data.complex.basic
/-!
# Exponential, trigonometric and hyperbolic trigonometric functions... |
3f13284b58a30a79d85240c3e4e61890d3d47e80 | 7282d49021d38dacd06c4ce45a48d09627687fe0 | /tests/lean/interactive/t12.lean | 0a77c70ab9646fd2097f6cb210257d33b55d37f3 | [
"Apache-2.0"
] | permissive | steveluc/lean | 5a0b4431acefaf77f15b25bbb49294c2449923ad | 92ba4e8b2d040a799eda7deb8d2a7cdd3e69c496 | refs/heads/master | 1,611,332,256,930 | 1,391,013,244,000 | 1,391,013,244,000 | 16,361,079 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,118 | lean | (*
import("tactic.lua")
-- Define a simple tactic using Lua
auto = Repeat(OrElse(assumption_tac(), conj_tac(), conj_hyp_tac()))
*)
theorem T1 (A B : Bool) : A /\ B -> B /\ A :=
fun assumption : A /\ B,
let lemma1 : A := (by auto),
lemma2 : B := (by auto)
in (hav... |
a47606df5ee4adb77d4ed40aba30d8b29c45f8f7 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Init/Conv.lean | bc8deea42f8f63aca7134bb9f411d31d02559c4e | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 13,118 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Notation for operators defined at Prelude.lean
-/
prelude
import Init.NotationExtra
namespace Lean.Parser.Tactic.Conv
/-- `conv` is the syntax category for ... |
ea7c6640b19056facb80c7db1fc48e06c51acd8c | 48f4f349e1bb919d14ab7e5921d0cfe825f4c423 | /fabstract/Roux_C_and_vanDoorn_F_PTSs/pure_type_systems.lean | 5aaaba95cb7c182af6e7dc659fb9ce1e3a53358f | [] | no_license | thalesant/formalabstracts-2017 | fdf4ff90d30ab1dcb6d4cf16a068a997ea5ecc80 | c47181342c9e41954aa8d41f5049965b5f332bca | refs/heads/master | 1,584,610,453,925 | 1,528,277,508,000 | 1,528,277,508,000 | 136,299,625 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,361 | lean | open list option
/- Pure Type Systems using DeBruijn indices -/
-- the specification of a PTS
structure pure_type_system : Type 2 :=
(Sorts : Type)
(Axioms : Sorts → Sorts → Prop)
(Relations : Sorts → Sorts → Sorts → Prop)
namespace pure_type_system
section
parameter (PTS : pure_type_system)
/- untyped terms ... |
b3b91583697ab9fb08609a134bc2416f8d44421e | 7c92a46ce39266c13607ecdef7f228688f237182 | /src/for_mathlib/nonarchimedean/is_subgroups_basis.lean | c94b3ac712ad964ee92a5c28fdc6e7f550576f44 | [
"Apache-2.0"
] | permissive | asym57/lean-perfectoid-spaces | 3217d01f6ddc0d13e9fb68651749469750420767 | 359187b429f254a946218af4411d45f08705c83e | refs/heads/master | 1,609,457,937,251 | 1,577,542,616,000 | 1,577,542,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,417 | lean | import for_mathlib.nonarchimedean.basic
import for_mathlib.topological_rings
open set filter function lattice add_group_with_zero_nhd
--local attribute [instance] pointwise_mul pointwise_add
local attribute [instance] set.pointwise_mul_semiring
local attribute [instance] set.pointwise_mul_action
local notation `𝓝` ... |
13c13e16ee832f481d692be5ebbb62401a2af280 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/empty_eq.lean | 818d8ec205fc981688c00d164c42532d63a59200 | [
"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 | 135 | lean | import data.fin
open nat
open fin
definition case0 {C : fin zero → Type} : Π (f : fin zero), C f
| [none]
print definition case0
|
1db49bb092c76f6c02d17c96d22fd6cb4cc129ae | fb874bbe08e5843959092135244ee64bc3e4dbbb | /tests/syntax-tests/source/Lean/test.lean | eddf316c60af4c98e115520e519f31bc10baa3fa | [
"Apache-2.0",
"MIT"
] | permissive | sharkdp/bat | 40dee33e4c3be1201f71ada25e963ef8b3f066b5 | 1893405cbf6a0676db4cf93e64939eb29a0ca6cb | refs/heads/master | 1,693,467,908,872 | 1,686,601,946,000 | 1,693,237,829,000 | 130,464,961 | 43,494 | 1,495 | Apache-2.0 | 1,694,663,147,000 | 1,524,307,943,000 | Rust | UTF-8 | Lean | false | false | 2,165 | lean | import data.matrix.notation
import data.vector2
/-!
Helpers that don't currently fit elsewhere...
-/
lemma split_eq {m n : Type*} (x : m × n) (p p' : m × n) :
p = x ∨ p' = x ∨ (x ≠ p ∧ x ≠ p') := by tauto
-- For `playfield`s, the piece type and/or piece index type.
variables (X : Type*)
variables [has_repr X]
n... |
c91a7e94b8de2345fd39ed8f09cf51c5e64f2760 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/binder_matching.lean | 6440e85afd7a7cae16ec2e5f8b7a10a6892bedd4 | [] | 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 | 3,075 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.option.defs
import Mathlib.meta.expr
import Mathlib.PostPort
namespace Mathlib
/-!
#... |
2ec5a786bbe433bb14e5e62adc4472dc1e6595af | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /stage0/src/Init/Control.lean | fbc11e24898efe92e4fa71f2c0d7b8d96746afbc | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 357 | 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.Control.Basic
import Init.Control.State
import Init.Control.StateRef
import Init.Control.Id
import Init.Control.Except
import Init.Contr... |
f18f94b5f12e61c44d34299fe57c1e5adfd6bbbd | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_1649.lean | d7546312af002eacd46286a7c81a1d29acdf2b11 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 121 | lean | import data.real.basic
variables a b : ℝ
-- BEGIN
example : abs a - abs b ≤ abs (a - b) :=
begin
sorry
end
-- END |
acb6ad520df09ecd8856a9a666ef0f91f6c0c895 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/linear_algebra/basis.lean | 0544490972c25e8f4bafb5dc22653fce2583eff5 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 46,017 | 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, Alexander Bentkamp
Linear independence and basis sets in a module or vector space.
This file is inspired by Isabelle/HOL's linear algebra, and hence i... |
75b5429d5b0dd6190fd4f184920ec6024f932b90 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/measure_theory/lp_space.lean | 3475c4e210493d3df27d94a2ba6e24bb15f8f537 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,804 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Rémy Degenne.
-/
import measure_theory.l1_space
import analysis.mean_inequalities
/-!
# ℒp space
This file describes properties of measurable functions with finite seminorm `(∫ ∥f a∥^p ... |
ae3b27fbbb8374d2ba625dbdb10f0e5b91b06112 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/brouillon.lean | b72583ba108b43e27a09497418f7230380ef08dc | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,572 | lean | namespace morphism_composition
/-
Goal to make effective the composition
-/
open morphism
variables {M1 : Type w} [add_comm_group M1] [module R M1]
{M2 : Type w'} [add_comm_group M2] [module R M2]
{M3 : Type w''} [add_comm_group M3] [module R M3]
{ρ1 : group_representation G R M1} ... |
684bbe1c54249dfacfb9fafdc2c980c86dc82d7c | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/universe_lifting.lean | 85c328fc9b76d8711fb293084b77e21d5d732885 | [] | 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 | 430 | 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.equivalence
namespace category_theory
universes u₁
variable (C : Type u₁)
variable [small_category C]
local attribute [back] category.i... |
4b64cd4e1bfda7a07e9c88a37c8c9998da4be21d | 5719a16e23dfc08cdea7a5bf035b81690f307965 | /src/Init/Control/EState.lean | bab6287d0709837531da504ad4cfb1bbf7fc8cfc | [
"Apache-2.0"
] | permissive | postmasters/lean4 | 488b03969a371e1507e1e8a4df9ebf63c7cbe7ac | f3976fc53a883ac7606fc59357d43f4b51016ca7 | refs/heads/master | 1,655,582,707,480 | 1,588,682,595,000 | 1,588,682,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,613 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.State
import Init.Control.Except
universes u v
namespace EStateM
inductive Result (ε σ α : Type u)
| ok {} : α → σ → Result... |
5ba04bb2dbf06d08fd05786926d55b37897e7bd6 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/category/Groupoid.lean | 64f6769ae04fc399d3a6f1684ed0ad9c6830086b | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 1,854 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.groupoid
import category_theory.category.Cat
/-!
# Category of groupoids
This file contains the definition of the category `Groupoid` of al... |
32612b99f90d9400d19e5d3492ad0cec20730694 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/group_theory/free_abelian_group.lean | ad5acdaf2d6c98e99ad6ed1ec069c0a4b7fc5439 | [
"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 | 12,396 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Free abelian groups as abelianization of free groups.
-/
import algebra.group.pi
import group_theory.free_group
import group_theory.abelianization
universes u v
variables (α : ... |
c011e5760540c00f4671dedd52f413caf370280e | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/linear_algebra/prod.lean | 65aadf802d91fcdef05a502c207a9b03b777d394 | [
"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 | 31,235 | 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, Kevin Buzzard, Yury Kudryashov, Eric Wieser
-/
import linear_algebra.span
import order.partial_sups
import algebra.algebra.basic
/-! ### Products of mo... |
4dc77a9fff7518aee86c5dfda8300b423d83fe44 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/closed/zero.lean | 751ad5e9daf120e949dee3c0cda80b832ca2715f | [
"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 | 2,104 | 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.closed.cartesian
import category_theory.limits.shapes.zero_morphisms
import category_theory.punit
import category_theory.conj
/-!
# A cartesian c... |
60fa345956aa58f801410dcbedc8a026889ef9b3 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/combinatorics/composition.lean | e8fc80c590377ce80a7767e3ae26a9b20a1766d0 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 34,346 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.fintype.card
import tactic.omega
/-!
# Compositions
A composition of an integer `n` is a decomposition `n = i₀ + ... + i_{k-1}` of `n` into a sum ... |
0e17863aa0c09e35320ab9799630d334c7a9a664 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/envtest.lean | 2b0363af3742999c410c70de04c52802af853601 | [
"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 | 537 | lean | import init.lean.environment
open Lean
def mkMyExt : IO (EnvExtension (Array Nat)) :=
registerEnvExtension [1, 2, 3].toArray
@[init mkMyExt]
constant myExt : EnvExtension (Array Nat) := default _
def showMyExt (env : Environment) : IO Unit :=
IO.println $ myExt.getState env
def addVal (env : Environment) (n : Nat) ... |
64b8076198a0dae223aff1ccadf10752a0b348ee | 7282d49021d38dacd06c4ce45a48d09627687fe0 | /examples/lean/tactic1.lean | 50e1dcd208a23466661ab5e7590cb62e900dc21b | [
"Apache-2.0"
] | permissive | steveluc/lean | 5a0b4431acefaf77f15b25bbb49294c2449923ad | 92ba4e8b2d040a799eda7deb8d2a7cdd3e69c496 | refs/heads/master | 1,611,332,256,930 | 1,391,013,244,000 | 1,391,013,244,000 | 16,361,079 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,726 | 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 ... |
17320239a50e95876587f177c51962c0bf8df754 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/stone_cech.lean | 497e64c4b873445fef2803c9c7219f8b529afd00 | [
"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 | 11,695 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import topology.bases
import topology.dense_embedding
/-! # Stone-Čech compactification
Construction of the Stone-Čech compactification using ultrafilters.
Parts of the ... |
adf3a3c51eb056b98b9ce6dd5ece92be3d299f00 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/ring_theory/adjoin.lean | d543bb4171cdfdd29d63b6964ee94de3c2fcfc7b | [
"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 | 8,695 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Adjoining elements to form subalgebras.
-/
import ring_theory.polynomial
import ring_theory.principal_ideal_domain
universes u v w
open submodule
namespace algebra
variables ... |
623a00371d3807dc28778c2ed11d6611b83a7e94 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/vm_noncomputable_real.lean | 43fcf472546ca1fe598d944a05091274cec499b1 | [
"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 | 510 | lean | def ℝ := set ℕ
constant ℝ.sub' : ℝ → ℝ → ℝ
/-
The following definition is accepted because the type is (ℝ → ℝ → ℝ) which is defeq to (ℝ → ℝ → ℕ → Prop).
The code generator can handle it because it is returning a type. Morally, it is the function that takes
three arguments and returns an unit.
-/
def ℝ.sub (a b : ℝ) := ... |
df93490caa3d545c57302b22bef32b0ea0a10b12 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/rewrite_search/types.lean | 5e8fd5e1e57f97c9b99add4728cad4beccd78c6f | [
"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 | 2,365 | lean | /-
Copyright (c) 2020 Kevin Lacker, Keeley Hoek, Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Keeley Hoek, Scott Morrison
-/
import tactic.nth_rewrite
/-!
# Types used in rewrite search.
-/
declare_trace rewrite_search
namespace tact... |
f92aaee596520deec60bbc542a93d7c967f26a29 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/PPTopDownAnalyze.lean | 4b1358654e9fe2e30394165c1a1a703528659717 | [
"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 | 14,095 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean
import Std
open Lean Lean.Meta Lean.Elab Lean.Elab.Term Lean.Elab.Command
open Lean.PrettyPrinter
def checkDelab (e : Expr) (tgt? : Option Syntax)... |
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