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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
91cd12a255f31675b7152adb99169a57ccd0c8dd | 9cba98daa30c0804090f963f9024147a50292fa0 | /old/metrology/quantity.lean | 6a43d64150293da034f40b32f5d56d64096ef90c | [] | no_license | kevinsullivan/phys | dcb192f7b3033797541b980f0b4a7e75d84cea1a | ebc2df3779d3605ff7a9b47eeda25c2a551e011f | refs/heads/master | 1,637,490,575,500 | 1,629,899,064,000 | 1,629,899,064,000 | 168,012,884 | 0 | 3 | null | 1,629,644,436,000 | 1,548,699,832,000 | Lean | UTF-8 | Lean | false | false | 4,550 | lean | import .measurement
import .dimensions
import .scalar
namespace quantity
open measurementSystem
open dimension
/-
We express a physical quantity as a tuple of scalars, each
of a type consistent with its base dimension, relative to a
given (potentially derived) dimension and measurement system.
So, for example, to ex... |
f3e03e394fd19a9b8dfd15a3b9dc5891bd4a8bff | 500f65bb93c499cd35c3254d894d762208cae042 | /src/tactic/core.lean | 2b519fe9affac9fcf3d30df802570041d697000d | [
"Apache-2.0"
] | permissive | PatrickMassot/mathlib | c39dc0ff18bbde42f1c93a1642f6e429adad538c | 45df75b3c9da159fe3192fa7f769dfbec0bd6bda | refs/heads/master | 1,623,168,646,390 | 1,566,940,765,000 | 1,566,940,765,000 | 115,220,590 | 0 | 1 | null | 1,514,061,524,000 | 1,514,061,524,000 | null | UTF-8 | Lean | false | false | 39,997 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic category.basic meta.expr meta.rb_map data.string.defs
namespace expr
open tactic
attribute [derive... |
70a0791e6a7ff6b041e090d495f5ec45901b46c3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/finset/nat_antidiagonal.lean | ce3779bfd31ef8a1777dfc3c484e490eb894b6f1 | [
"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 | 4,799 | 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.finset.card
import data.multiset.nat_antidiagonal
/-!
# Antidiagonals in ℕ × ℕ as finsets
This file defines the antidiagonals of ℕ × ℕ as finsets: the `... |
d5ff43e2e6c7479ba91bec3cf3979d4f5a7757b6 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /category_theory/types.lean | 2341ace1984c3462e065865afa9ec7b9625ec8d9 | [
"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 | 2,655 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl
import category_theory.functor_category
import category_theory.fully_faithful
namespace category_theory
universes v v' w u u' --... |
5f93a7127d8974d4916bebbcce8e65f3f570a97d | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/list/func.lean | 9fb1c9d410ec2e56f060feaf1088169a6c1722c8 | [
"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 | 11,366 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
import data.nat.basic
/-!
# Lists as Functions
Definitions for using lists as finite representations of finitely-supported functions with domain
ℕ.
These include pointwise o... |
47de91a07d3bd55a79f89576cf2bb3b5e90adec5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/interval.lean | a7efc2bf8d37068c98666ab097bacda61deabb69 | [
"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 | 12,319 | 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 data.finset.locally_finite
/-!
# Finite intervals of naturals
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to... |
a3b65e1b31a11f2dd5958909c8ee448d142b3109 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/seq/wseq.lean | 4fecabc0f0290711a6ce9a29d24215cb2946b718 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 55,018 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.seq.seq
import data.dlist
universes u v w
/-
coinductive wseq (α : Type u) : Type u
| nil : wseq α
| cons : α → wseq α → wseq α
| think : wseq α → ... |
c51c7d72e07ae1897eb76f3f58386dfe8a539789 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/convex/quasiconvex.lean | d06a29bc4695bc9a9f85b007c09c76c6653fb100 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,894 | 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 analysis.convex.function
/-!
# Quasiconvex and quasiconcave functions
This file defines quasiconvexity, quasiconcavity and quasilinearity of functions, which are... |
99445b4e1c76119c57481c5ff69085de4017b649 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/over_subst.lean | f890b3557a2071a6cc56c756a479d34ee701b175 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 716 | lean | namespace experiment
namespace nat
constant nat : Type.{1}
constant add : nat → nat → nat
constant le : nat → nat → Prop
constant one : nat
infixl `+` := add
infix `≤` := le
axiom add_assoc (a b c : nat) : (a + b) + c = a + (b + c)
axiom add_le_left {a b : nat} (H : a ≤ b) (c : nat) : c + a ≤ c + b
end nat
namespace i... |
86ff4a46ec7527ef8daa7095192798ef2c0e6f1f | ac92829298855d39b757cf1fddca8f058436f027 | /hott/function.hlean | a63df8e540167404992f1bbf30bd2b1c8a90aa11 | [
"Apache-2.0"
] | permissive | avigad/lean2 | 7af27190b9697b69a13268a133c1d3c8df85d2cf | 34dbd6c3ae612186b8f0f80d12fbf5ae7a059ec9 | refs/heads/master | 1,592,027,477,851 | 1,500,732,234,000 | 1,500,732,234,000 | 75,484,066 | 0 | 0 | null | 1,480,781,056,000 | 1,480,781,056,000 | null | UTF-8 | Lean | false | false | 14,190 | 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
Ported from Coq HoTT
Theorems about embeddings and surjections
-/
import hit.trunc types.equiv cubical.square types.nat
open equiv sigma sigma.ops eq trunc is_trun... |
160367cee13f4771cc1053a2243043bfb48dd0ba | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/homeomorph.lean | 55694eb69dc74b9f90f101e72c3610caa558f097 | [
"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 | 17,424 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Sébastien Gouëzel, Zhouhang Zhou, Reid Barton
-/
import topology.dense_embedding
import data.equiv.fin
/-!
# Homeomorphisms
This file defines homeomorphi... |
a96a88d345a7329d1390973a7ccbb1f20c87f709 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/category_theory/is_connected.lean | 4e919a886e6982923de66193bfb060001e9ee63e | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 10,011 | 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 data.list.chain
import category_theory.punit
/-!
# Connected category
Define a connected category as a _nonempty_ category for which every functor
to a discrete ... |
d8c0c599c593fb396dda0a6379f5728c7ad42c2c | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /category_theory/functor_category.lean | a3aeea9b481b58723fd519b0f14943f70f158edb | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 2,262 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Tim Baumann, Stephen Morgan, Scott Morrison
import category_theory.natural_transformation
namespace category_theory
universes u₁ v₁ u₂ v₂ u₃ v₃
open nat_trans
/--
`functor.c... |
d7fdecda7dc0c1381d0733cf936de899a288031a | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/special_functions/exp.lean | 817d76ba8c6af4aa9205a9be0f8710b6d81530d6 | [
"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 | 10,466 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import analysis.complex.basic
import data.complex.exponential
/-!
# Complex and real exponential
In this file we prove c... |
8c233bdde98b5710ec7dc7b9ccc1dbd1328d43c6 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/ring_theory/ideal_operations.lean | 7f7e0c609b316621ccbe67ccb94b50a260bc81c2 | [
"Apache-2.0"
] | permissive | FredericLeRoux/mathlib | e8f696421dd3e4edc8c7edb3369421c8463d7bac | 3645bf8fb426757e0a20af110d1fdded281d286e | refs/heads/master | 1,607,062,870,732 | 1,578,513,186,000 | 1,578,513,186,000 | 231,653,181 | 0 | 0 | Apache-2.0 | 1,578,080,327,000 | 1,578,080,326,000 | null | UTF-8 | Lean | false | false | 26,867 | 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.... |
c686fb1eef5f591e286f8b381c70baa6d121d350 | 0d9b0a832bc57849732c5bd008a7a142f7e49656 | /src/boolset2d.lean | 58bd19cb750a29bbc50db503a81e2559d7243de9 | [] | no_license | mirefek/sokoban.lean | bb9414af67894e4d8ce75f8c8d7031df02d371d0 | 451c92308afb4d3f8e566594b9751286f93b899b | refs/heads/master | 1,681,025,245,267 | 1,618,997,832,000 | 1,618,997,832,000 | 359,491,681 | 10 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,887 | lean | import data.list.func
import .helpers
import .list2d
import .find_indexes2d
def bset1d := list bool
def bset2d := list2d bool
instance : inhabited bset1d := ⟨[]⟩
instance : inhabited bset2d := ⟨[]⟩
instance : has_mem ℕ bset1d :=
⟨λ n l, list.func.get n l = tt⟩
instance : has_mem (ℕ×ℕ) bset2d :=
⟨λ xy l, list2d.get2d... |
3752e38addf6f5ffc36f43dadf280bd3fb3bdec5 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20150320_CMU/undecidable.lean | 67b1ae46d7dee2d9147c4c3cbd17618e54368b20 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 781 | lean | -- Church number λx f, f (f (f ... (f x) ...))
constant i : Type₁
definition Num := i → (i → i) → i
definition add (n : Num) (m : Num) : Num :=
λx f, n (m x f) f
definition mul (n : Num) (m : Num) : Num :=
λx f, n x (λz, (m z f))
definition zero : Num := λx f, x
definition one : Num := λx f, f x
definition two ... |
953266708cff7c1c9d880a25828d39ca6433c76d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/local_invariant_properties.lean | 5ac943c74f0a5881afaaa1468721aeec58116dbd | [
"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 | 25,412 | 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 geometry.manifold.charted_space
/-!
# Local properties invariant under a groupoid
We study properties of a triple `(g, s, x)` where `g` is a function b... |
d8269a53dbd0a201866a3a961a54589723ff466b | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/normed_space/conformal_linear_map.lean | b4dc3b597be260761c0f1e19ea5e846bf2872b1e | [
"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 | 3,788 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang
-/
import analysis.normed_space.linear_isometry
/-!
# Conformal Linear Maps
A continuous linear map between `R`-normed spaces `X` and `Y` `is_conformal_map` if it is
a non... |
401e5877bf066e7647c6c52aa2723197a434a4c0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/representation_theory/basic.lean | 8d13447b4d399faccdcaa8d20ace9c829512a481 | [
"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 | 14,390 | lean | /-
Copyright (c) 2022 Antoine Labelle. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Labelle
-/
import algebra.module.basic
import algebra.module.linear_map
import algebra.monoid_algebra.basic
import linear_algebra.dual
import linear_algebra.contraction
import... |
8e0a5a7cd57d8dbee0bf9892e5f99a0efc97fdc1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/pfilter.lean | 8c1a6b1e5ec1126f5830809b253d6eba5b1ce839 | [
"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 | 3,306 | lean | /-
Copyright (c) 2020 Mathieu Guay-Paquet. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mathieu Guay-Paquet
-/
import order.ideal
/-!
# Order filters
## Main definitions
Throughout this file, `P` is at least a preorder, but some sections
require more structure, su... |
b675a3696cc2c9fc2dcee41ca1677971b5cd2c63 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/special_functions/non_integrable.lean | bdc86f7af12298b88d49ce908519186409ef3982 | [
"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 | 9,627 | 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.special_functions.integrals
import analysis.calculus.fderiv_measurable
/-!
# Non integrable functions
In this file we prove that the derivative of... |
6e8ecb1b7720f2ec70936d46bed355e222c0a4f6 | f68ef9a599ec5575db7b285d4960e63c5d464ccc | /Exercises/Lista 4/garrafas.lean | 8ef894c600b181a7bfedc3b14b2b854d31dae24a | [] | no_license | lucasmoschen/discrete-mathematics | a38d5970cc571b0b9d202bf6a43efeb8ed6f66e3 | 0f1945cc5eb094814c926cd6ae4a8b4c5c579a1e | refs/heads/master | 1,677,111,757,003 | 1,611,500,097,000 | 1,611,500,097,000 | 205,903,359 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,048 | lean | /-
Alunos:
- Fulano da Silva
- Beltrano Rodrigues
Considere uma fonte de água inesgotável e duas garrafas, uma de 5 e
outra de 7 litros, as quais não possuem quaisquer marcações que
possibilitem medidas de volumes intermediários às suas respectivas
capacidades. O formato das mesmas também impede o uso de aparelhos ... |
dd5718b33096b7c7a11063518bce8042a36bdabc | 07f5f86b00fed90a419ccda4298d8b795a68f657 | /tests/lean/run/quote_bas.lean | 20253e3b9d4c49b1911fd141b963428e9f260fad | [
"Apache-2.0"
] | permissive | VBaratham/lean | 8ec5c3167b4835cfbcd7f25e2173d61ad9416b3a | 450ca5834c1c35318e4b47d553bb9820c1b3eee7 | refs/heads/master | 1,629,649,471,814 | 1,512,060,373,000 | 1,512,060,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,502 | lean | universes u v w
namespace quote_bas
inductive Expr (V : Type u)
| One {} : Expr
| Var (v : V) : Expr
| Mult (a b : Expr) : Expr
@[reducible] def Value := nat
def Env (V : Type u) := V → Value
open Expr
def evalExpr {V} (vs : Env V) : Expr V → Value
| One := 1
| (Var v) := vs v
| (Mult a ... |
81862e73b02d0957f2a6af9b9efd148e932cdb01 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/pointed.hlean | 178fd7dd4f9372b4f845d65f1220b804da45a769 | [
"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 | 18,774 | hlean | /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import arity .eq .bool .unit .sigma .nat.basic prop_trunc
open is_trunc eq prod sigma nat equiv option is_equiv bool unit... |
2c702eb28d5b597c578a69088e87045fc0d1ef60 | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/for_mathlib/Fintype.lean | bd90df039b117d40c8c3601b757d4860a19b3b29 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 367 | lean | import category_theory.Fintype
namespace Fintype
/-- An equivalence between finite types induces an isomorphism in `Fintype`. -/
@[simps]
def iso_of_equiv {A B : Fintype} (e : A ≃ B) : A ≅ B :=
{ hom := e,
inv := e.symm,
hom_inv_id' := by { ext t, change e.symm (e t) = t, simp },
inv_hom_id' := by { ext t, chan... |
de9c686d62f4a94dcf66c25b67ff8f9bd61d2a3c | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/category_theory/limits/cones.lean | 11736101d4480fce9c2a72e2fecca6f7630c6840 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,487 | 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, Floris van Doorn
-/
import category_theory.const
import category_theory.discrete_category
import category_theory.yoneda
import category_theory.reflects_... |
9766adcf0fc34fba605af2de091bc525735cd181 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/private.lean | f12a0f88dfb2f44fcdbb12bab6f1a28a12a33fcd | [
"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 | 990 | lean | new_frontend
-- Issue 1
def foo := 10
def f (x : Nat) := x + x
namespace Bla
private def foo := "hello"
#check foo == "world" -- `foo` resolves to private `Bla.foo`
private def foo : Float := 1.0 -- should produce error like in other programming languages
end Bla
#check foo == 0
#check Bla.foo
-- Issue 2
name... |
25aab0336098ecaa037db7dab24490106f438ecc | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/analytic/basic.lean | 7b3523addd45799b8bda5bf085bdef4a38d9f9f1 | [
"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 | 50,569 | lean | /-
Copyright (c) 2020 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.formal_multilinear_series
import data.equiv.fin
/-!
# Analytic functions
A function is analytic in one dimension aro... |
8f6ff49c8309a80492465f6921fb1568524ab98d | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/induction1.lean | a003814decd07338ae2b27d22c6b3a967e15afbd | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 1,848 | lean | @[recursor 4]
def Or.elim2 {p q r : Prop} (major : p ∨ q) (left : p → r) (right : q → r) : r :=
Or.elim major left right
new_frontend
theorem tst0 {p q : Prop } (h : p ∨ q) : q ∨ p :=
begin
induction h;
{ apply Or.inr; assumption };
{ apply Or.inl; assumption }
end
theorem tst1 {p q : Prop } (h : p ∨ q) : q ∨ ... |
fc9936bd3a0de262cbbe292a24ea79bb3c3dbb3d | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/topologie-espaces-normés/cpge_ten_16.lean | 476dfd9c1d23996e64abc04afe9f266d28b7897d | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 263 | lean | import topology.basic
import data.set.basic
import data.rat.basic
import data.real.basic
import analysis.normed_space.basic
-- Montrer que Z est une partie fermée de R
theorem exo:
is_closed (fun r, exists z: int, r = real.of_rat (rat.of_int z))
:= sorry
|
96b7ff30991d0cf3fac596fc97fbb2f003e24ef9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/user_opt/UserOpt/Opts.lean | 9b656a13ebd437435d31c495103598acdd7515e4 | [
"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 | 194 | lean | import Lean
register_option myBoolOpt : Bool := {
defValue := false
descr := "my Boolean option"
}
register_option myNatOpt : Nat := {
defValue := 100
descr := "my Nat option"
}
|
eac888ec90b27e1e886a1126cc6238c997464056 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/decodex86/src/sexp.lean | 0fe5799b9b1a0961fe49e51f049b016d0e3a706c | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 1,520 | lean |
import system.io -- debug
import data.buffer.parser
inductive sexp
| atom : string -> sexp
| list : list sexp -> sexp
mutual def sexp_to_string, sexp_to_string_list
with sexp_to_string : sexp -> string
| (sexp.atom s) := s
| (sexp.list ss) := "(" ++ sexp_to_string_list ss ++ ")"
with sexp_to_string_list : l... |
70cb536fce5c99a941b88277549e9777030237f2 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/cute_binders.lean | 689ede441b41b51e6c6b026ae6b3c435ae748fdc | [
"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 | 650 | lean | definition set (A : Type) := A → Prop
definition mem {A : Type} (a : A) (s : set A) : Prop :=
s a
definition range (lower : nat) (upper : nat) : set nat :=
λ a, lower ≤ a ∧ a ≤ upper
infix ` ∈ ` := mem
local notation `[` L `, ` U `]` := range L U
variables s : set nat
variables p : nat → nat → Prop
-- check a ∈ s
s... |
9779c4287943b63d53492480f7c75ab92ad8f0a8 | 7bc35d4fbdda0c01e9b22a949940ee5cbb9800d0 | /equiv.lean | f0e199f8e9d473eff75d529c5ee2cb852ce464fb | [] | no_license | truonghoangle/manifolds | e6c2534dd46579f56ba99a48e2eb7ce51640e7c0 | dcf4815b29ad363ec9712fd00b7756c36cfa7c1c | refs/heads/main | 1,638,501,090,139 | 1,636,918,550,000 | 1,636,918,550,000 | 185,779,631 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,277 | lean | import data.equiv.algebra algebra.module data.pfun
import analysis.normed_space.basic
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
open equiv
namespace equiv
section instances
variables (e : α ≃ β)
protected def has_scalar [has_scalar γ β] : has_scalar γ α := ⟨λ (a:γ) x, e.symm ( a... |
3e2d12e7e6782f0face77f13bcbc2a7b547f70a3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/pi/interval.lean | 7388b3bbb69d29d81545993296e9cc9a21e36cc8 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,518 | 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 data.finset.locally_finite
import data.fintype.big_operators
/-!
# Intervals in a pi type
This file shows that (dependent) functions to locally finite orders equ... |
3b5e1747444a24f90ca2a1f8dcf0dcb94e5c74aa | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Lean/Structure.lean | 3bae2f87d96289b9d2821985dd245f369654e3fc | [
"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 | 6,791 | 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
Helper functions for retrieving structure information.
-/
import Lean.Environment
import Lean.ProjFns
/- TODO: We currently assume that the projection functi... |
44f396671b9e6d4b8ac5b8544ab9040c8070e59f | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/polynomial/dickson.lean | 4bdbca3edc8324ffb8fe87cd39214bdee382bc81 | [
"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 | 10,508 | 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 ring_theory.polynomial.chebyshev
import ring_theory.localization
import data.zmod.basic
import algebra.char_p.invertible
/-!
# Dickson polynomials
... |
27f3ff24cdba8e6804e72ebf7a37e3375e4c192d | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/record4.lean | 7df0184f7f608b00181ddd048727ee433e53dd19 | [
"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 | 308 | lean | import logic data.unit
structure point (A : Type) (B : Type) :=
mk :: (x : A) (y : B)
check point.eta
example (p : point num num) : point.mk (point.x p) (point.y p) = p :=
point.eta p
inductive color :=
red, green, blue
structure color_point (A : Type) (B : Type) extends point A B :=
mk :: (c : color)
|
663e532aa9fe5329432500ef537ab3730fc130bd | cabd1ea95170493667c024ef2045eb86d981b133 | /src/super/defs.lean | 498ace4118cf11effa9923f05c3bf088314065cc | [] | no_license | semorrison/super | 31db4b5aa5ef4c2313dc5803b8c79a95f809815b | 0c6c03ba9c7470f801eb4d055294f424ff090308 | refs/heads/master | 1,630,272,140,541 | 1,511,054,739,000 | 1,511,054,756,000 | 114,317,807 | 0 | 0 | null | 1,513,304,776,000 | 1,513,304,775,000 | null | UTF-8 | Lean | false | false | 1,093 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open tactic expr monad
namespace super
meta def try_unfold_one_def (type : expr) : tactic expr :=
dunfold_head type transparency.all
... |
695b1156ab8e410e4dc8cd0a25a75daeec5c2bd7 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /category/functor.lean | ebf597cd6507becb881adcc1c999567a9841d9a6 | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 3,734 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Standard identity and composition functors
-/
import tactic.ext tactic.cache category.basic
universe variables u v w
section functor
variables {F : Type u → Type v}
variabl... |
860bfd64dd3eadb9bebdfe9d14b08a40a8de1ef9 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/ring_theory/euclidean_domain.lean | d098c655931081b3053d37608d2c69688c2bc6e5 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 1,861 | 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 ring_theory.ideals
noncomputable theory
open_locale classical
open euclidean_domain set ideal
theorem span_gcd {α} [euclidean_domain α] (x y : α... |
707215ba19e83ab2a70f91c18bb684199f6fc819 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/linear_algebra/determinant.lean | 06528aa0e7d4879214656f97d26419bc7d30ff46 | [
"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 | 9,321 | 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, Tim Baanen
-/
import data.matrix.basic
import data.matrix.pequiv
import data.fintype.card
import group_theory.perm.sign
import tactic.ring
universes u v
open equiv... |
5cc33d96c8f36fdda5233e25c8707e54bc8dc052 | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib/Tactic/RunTac.lean | 550ca0f9dc3710976f91bc7551c60d493b6d00ce | [
"Apache-2.0"
] | permissive | denayd/mathlib4 | 750e0dcd106554640a1ac701e51517501a574715 | 7f40a5c514066801ab3c6d431e9f405baa9b9c58 | refs/heads/master | 1,693,743,991,894 | 1,636,618,048,000 | 1,636,618,048,000 | 373,926,241 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 986 | lean | /-
Copyright (c) 2018 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich
-/
import Lean.Elab.SyntheticMVars
open Lean Elab Tactic
unsafe def evalRunTacUnsafe (term : Syntax) : TacticM Unit := do
let n := `_runTac
let type := mkApp (... |
2a2a72b893ac9f18c1ca1e5482ccbc5027b200df | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/coeIssue1.lean | 1e2c31b5775bf92da9a6d3a3aaa8aa30604b2ad4 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,270 | lean | -- From @joehendrix
-- The imul doesn't type check as Lean won't try to coerce from a reg (bv 64) to a expr (bv ?u)
inductive MCType
| bv : Nat → MCType
open MCType
inductive Reg : MCType → Type
| rax (n : Nat) : Reg (bv n)
inductive Expr : MCType → Type
| r : ∀{tp:MCType}, Reg tp → Expr tp
| sextC {s:Nat} (x : Ex... |
014c9f45b750fd7b35eed0b50b32e002070adcc1 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /src/Init/Data/BinomialHeap/Basic.lean | dd8b2305d88adfb58f5ff8411299ddb8165c90da | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,161 | 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.Data.List
import Init.Coe
universes u
namespace BinomialHeapImp
structure HeapNodeAux (α : Type u) (h : Type u) :=
(val : α) (rank : N... |
a695e0294e7f40a9e391147e455b3a00d96cc7a3 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/module/localized_module.lean | 8941bab7c10a4bba6bfebda4d3895a7a4595f695 | [
"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 | 41,224 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang, Jujian Zhang
-/
import group_theory.monoid_localization
import ring_theory.localization.basic
import algebra.algebra.restrict_scalars
/-!
# Localized Module
Given a commu... |
cf11fe19908ed79fa5305ee601ecdeede9a6a583 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/elabissues/typeclasses_with_preconditions.lean | 4765af900120e23978b45063bfa7ccf3d5ba33c2 | [
"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 | 2,215 | lean | /-
The current plan is to allow instances to have preconditions with registered tactics.
Typeclass resolution will delay these proof obligations, effectively assuming that they will succeed.
If typeclass resolution succeeds, it will return a list of (mvar, lctx) pairs to the elaborator,
which will try to synthesize the... |
181093b3f888caf0b5fe7c1628cbe547a8458a8d | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Data/Json/FromToJson.lean | f17f0156fe5cc030e2b295b77c9dd6c7cf522df3 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,707 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Marc Huisinga
-/
prelude
import Init.Lean.Data.Json.Basic
import Init.Data.List.Control
namespace Lean
universes u
class HasFromJson (α : Type u) :=
(fromJson? : Json... |
5aa8318a0ef8c3364d9925a19b697c0a1eabd97c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/cyclotomic/discriminant.lean | 1875990e97556e53c835eff40cf51b841d1806b7 | [
"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 | 11,223 | lean | /-
Copyright (c) 2022 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import number_theory.cyclotomic.primitive_roots
import ring_theory.discriminant
/-!
# Discriminant of cyclotomic fields
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4... |
e08306bde93cc661e6725681388022ec27f2db29 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/int/cast/defs.lean | bcb87ad797ead839541d96471cf2726dfbb583c6 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 2,392 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Gabriel Ebner
-/
import data.nat.cast.defs
/-!
# Cast of integers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to ... |
171ae2a05bf1677ffd46585aa18daaa86c552920 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/fully_faithful.lean | 6be1dfb6141243ec0b4a56f49290969fcac82f7f | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 8,417 | 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.natural_isomorphism
import data.equiv.basic
-- declare the `v`'s first; see `category_theory.category` for an explanation
universes v₁ v₂ v₃ u... |
47b19654e5b5c9dd149a4dd6254d8c17358707e3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/complete_boolean_algebra.lean | 7f16480f758b945fb9dfa95628b5d019c02ccbd7 | [
"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 | 13,897 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yaël Dillies
-/
import order.complete_lattice
import order.directed
/-!
# Frames, completely distributive lattices and Boolean algebras
In this file we define and pro... |
6edb0fbf3879762e746a6f5907d0955840be1fd7 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_lean_summary/unnamed_84.lean | 0df13adc0c7536dcf08f9d6e1a61fc1a098d4577 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 77 | lean | variable p : Prop
-- BEGIN
example (h : p) : p :=
begin
exact h,
end
-- END |
a21a422af02d91c2130f6ecd119b77c89eaeb89c | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/function/lp_space.lean | 33f5fa3f03c11fef1dc101d7cbdec28281559a67 | [
"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 | 102,132 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import analysis.normed_space.indicator_function
import analysis.normed_space.normed_group_hom
import measure_theory.function.ess_sup
import measure_the... |
1536cf72edf0faa5f28cb8f6bbee224a28fd3afe | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/clifford_algebra/basic.lean | f6828941f36584c129a2b1d02e998d7e0ddeff1c | [
"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 | 13,673 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Utensil Song
-/
import algebra.ring_quot
import linear_algebra.tensor_algebra.basic
import linear_algebra.quadratic_form.isometry
/-!
# Clifford Algebras
We construct the ... |
74f8e39ee651d73fdc8b9fb4e06a0210c6640d6e | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/add_interactive.lean | 5c1cfbea1d4ce5500cf2ea180f8089df2d375ae7 | [
"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 | 887 | lean | namespace foo
namespace bla
open lean.parser interactive interactive.types
/-- test doc string -/
meta def my_exact (q : parse texpr) :=
tactic.interactive.exact q
/- Copy tactic my_exact to tactic.interactive. -/
run_cmd add_interactive [`my_exact]
/- Copy tactic my_exact to test_namespace. -/
run_cmd add_interacti... |
7f2637af90f474e0a7e9ec32b88587f83f9bb982 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/pfunctor/univariate/default.lean | 15b81217b73933a0a47b9c169fc7e0020a74a2f8 | [] | 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 | 192 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.pfunctor.univariate.basic
import Mathlib.data.pfunctor.univariate.M
import Mathlib.PostPort
namespace Mathlib
|
fe0faffbd71d4fb08905d1b826c320e94ff13492 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/compiler_bug3.lean | 9187b46c15c02abe679759646f52c186e7db7611 | [
"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 | 290 | lean | inductive {u} tree (A : Type u) : Type u
| leaf : A -> tree
| node : list tree -> tree
def foo {A : Type*} : nat → tree A → nat
| 0 _ := 0
| (n+1) (tree.leaf a) := 0
| (n+1) (tree.node []) := foo n (tree.node [])
| (n+1) (tree.node (x::xs)) := foo n x
|
63bf91aa0c70b983da881c6ec64892f5175f61b8 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/misc/Misc/Foo.lean | 918d229608ce34f4c998d3807ddcaf336ac4a110 | [
"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 | 289 | lean | import Lean
open Lean Meta
#eval id (α := MetaM Unit) do
modifyEnv fun env => env.addExtraName `auxDecl1
return ()
def foo := 42
local infix:50 " ≺ " => LE.le
#check 1 ≺ 2
local macro "my_refl" : tactic =>
`(tactic| rfl)
def f (x y : Nat) (_h : x = y := by my_refl) := x
|
59e6c19b1e7b17909e22fbeedb61839de0c90bbc | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Meta/FunInfo.lean | 3245426cd45a776cdcff8aebeea7034673e2e233 | [
"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 | 3,196 | 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
@[inline] private def checkFunInfoCache (fn : Expr) (maxArgs? : Option Nat... |
5ec3a9ab682dbaf0aaa5b52230c1674583328012 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/ordinal/exponential.lean | 0b1e2723c625a97c19dea6b637aa0f88a4be04db | [
"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 | 16,569 | 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, Violeta Hernández Palacios
-/
import set_theory.ordinal.arithmetic
/-! # Ordinal exponential
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
4e487d25a33d9a4f4e3bfa923bfcf6596a09be23 | b147e1312077cdcfea8e6756207b3fa538982e12 | /tactic/ring.lean | c958d19af2c6f069f1ae18a39bc439a66fb03a49 | [
"Apache-2.0"
] | permissive | SzJS/mathlib | 07836ee708ca27cd18347e1e11ce7dd5afb3e926 | 23a5591fca0d43ee5d49d89f6f0ee07a24a6ca29 | refs/heads/master | 1,584,980,332,064 | 1,532,063,841,000 | 1,532,063,841,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,695 | 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... |
49b4388f94957a699f80a485c0e50db0d99e9961 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/group_theory/order_of_element.lean | 136f2995d00b033898889262f579de915d108d85 | [
"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 | 39,292 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Julian Kuelshammer
-/
import algebra.pointwise
import group_theory.coset
import dynamics.periodic_pts
import algebra.iterate_hom
/-!
# Order of an element
This file d... |
dd869bfd3b3566995c51b5d53c1f5d1b2a39703d | 2cf781335f4a6706b7452ab07ce323201e2e101f | /lean/deps/typed_smt2/src/galois/smt2/symbol.lean | f57b9fc12d2f999540b17837ac1d66da8e028c66 | [
"Apache-2.0"
] | permissive | simonjwinwood/reopt-vcg | 697cdd5e68366b5aa3298845eebc34fc97ccfbe2 | 6aca24e759bff4f2230bb58270bac6746c13665e | refs/heads/master | 1,586,353,878,347 | 1,549,667,148,000 | 1,549,667,148,000 | 159,409,828 | 0 | 0 | null | 1,543,358,444,000 | 1,543,358,444,000 | null | UTF-8 | Lean | false | false | 12,553 | lean | import galois.logic
import galois.category.except
import galois.data.fin
import galois.data.buffer
meta def exact_trivial_tac : tactic unit := `[exact trivial]
-- Defines the SMT symbol type
namespace smt2
------------------------------------------------------------------------
-- reserved_words
/--
This is the li... |
49e949feee3ec4c7ce63046e61e817291d234bc0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/continuous_function/stone_weierstrass.lean | 4d8ecabec58db9e7f718f682159067b38dd73418 | [
"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 | 20,952 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Heather Macbeth
-/
import topology.continuous_function.weierstrass
import data.is_R_or_C.basic
/-!
# The Stone-Weierstrass theorem
> THIS FILE IS SYNCHRONIZED WITH MA... |
c308d51b152c65f24ab51f9c8bc0db97341ecdd0 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/lean/level.lean | a46408df5ff6e1ffbda23c5d246797fe82bfafac | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 4,645 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.option.basic init.lean.name init.lean.format
namespace Lean
inductive Level
| zero : Level
| succ : Level → Level
| max : ... |
41f3650390221e40d2230c7fc8b6f90b2ecdd4a7 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /analysis/normed_space.lean | 13ec6eb8d8ff61044f6853001f8afefc19414d0d | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 11,974 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Normed spaces.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.pi_instances
import linear_algebra.prod_module
import analysis.nnreal
variables {α : Type*} {β : Type*} {γ : Type*} {ι... |
c45233f8dd5105ba26b83b6c87600d688aab549c | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/equiv/ring_aut.lean | 78fa57982e7e012aec65b69f720cc075cf30dfa9 | [
"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 | 2,178 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.mul_add_aut
import data.equiv.ring
/-!
# Ring automorphisms
This file defines the automorphism group structure on ... |
6d71eaaa7cea4d39e0f3701bdcdf2364697bd8ab | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/category/Preorder.lean | acb9e50172a6c7798ddbc4a9c49da019d17aed29 | [
"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 | 892 | 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 order.preorder_hom
import category_theory.concrete_category
import algebra.punit_instances
/-! # Category of preorders -/
open category_theory
/-- The categ... |
d13c471c3fc1077791ccd70f145700e64263a7a8 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/norm_cast.lean | 22d3d45d9958d885ec745bed44d0a68e361e6144 | [
"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 | 11,862 | lean | /-
Copyright (c) 2019 Paul-Nicolas Madelaine. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul-Nicolas Madelaine
Normalizing casts inside expressions.
-/
import tactic.basic tactic.interactive tactic.converter.interactive
import data.buffer.parser
namespace tacti... |
3f5b54deb4063141db00ccfa3e9712dc6e3b91c6 | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /nat_num_game/src/Advanced_Multiplication_World/adv_mul_wrld4.lean | cf310275bb251b1f997fca4bade50e7930c5e87f | [] | no_license | Samyak-Surti/LeanCode | 1c245631f74b00057d20483c8ac75916e8643b14 | 944eac3e5f43e2614ed246083b97fbdf24181d83 | refs/heads/master | 1,669,023,730,828 | 1,595,534,784,000 | 1,595,534,784,000 | 282,037,186 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 164 | lean | theorem mul_left_cancel (a b c : ℕ) (ha : a ≠ 0) : a * b = a * c → b = c :=
begin
intro h,
induction c with d hd,
rw nat.mul_zero at h,
end |
a602b9bb0fbf408e62ecb2bde319a06e199ee7e6 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Init/Data/Int/Basic.lean | edd7df195d56fdae83de3b93bcafc2033e7ced76 | [
"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 | 4,809 | 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 ... |
f3c18be8bea793dab12c30b8a82b16dc80ffb43b | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Lean/Message.lean | 208b548dd7299486b7bc92be383adc2fdf87f06d | [
"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 | 13,481 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Message Type used by the Lean frontend
-/
import Lean.Data.Position
import Lean.Data.OpenDecl
import Lean.Syntax
import Lean.MetavarContext
... |
50ff8c69e8b28f41db6c2bfbdb61696d89631b71 | 7920bb65c187f9e7065f47e49b3b60ebe8cfe2c1 | /src/utils.lean | 5dda575b0f578ab039a12a977781d80211bb3cb3 | [] | no_license | ADedecker/grifone-3-16 | 3357441687acd8e1d8aa0f3eaeab76d69bd46b62 | d7cb5a58695203dea6a27fb69067e08eb6a82bad | refs/heads/master | 1,679,431,665,551 | 1,616,077,475,000 | 1,616,077,475,000 | 348,148,279 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,052 | lean | import order.directed
import linear_algebra.basic
lemma antimono_of_antimono_nat {α : Type*} [preorder α] {f : ℕ → α}
(hf : ∀n, f (n + 1) ≤ f n) :
∀ ⦃x y⦄, x ≤ y → f y ≤ f x | n m h :=
begin
induction h,
{ refl },
{ transitivity, exact hf _, assumption }
end
lemma directed_le_of_monotone {α ι : Type*} [pre... |
e7ff1764ad0e60358800d53a5b40879c2c73722f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/real/cau_seq.lean | 205e834413fa51a3b24de2c4acbce3aebb3ab275 | [
"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 | 24,244 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.order.absolute_value
import algebra.big_operators.order
/-!
# Cauchy sequences
A basic theory of Cauchy sequences, used in the construction of the re... |
f574f4202a4059a08c29da00d70b87edfac76e40 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/group_theory/quotient_group.lean | e715716318fa19baec5322fa0c21da5340b3c74a | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 16,532 | lean | /-
Copyright (c) 2018 Kevin Buzzard, Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Patrick Massot
This file is to a certain extent based on `quotient_module.lean` by Johannes Hölzl.
-/
import group_theory.coset
/-!
# Quotients of group... |
18f072c16f814b62fc05b4c8b2e6d2f00d041a04 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_lean_summary/unnamed_295.lean | f20ddce2278964ee2f9d8429fcff5af4699bace0 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 84 | lean | variables p q : Prop
-- BEGIN
example (k : q) : p → q :=
assume h : p,
k
-- END |
789a59d48b22a1563fc0b29d523f1a9f1776aad7 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/list/min_max.lean | 48a3fe3964e2c762d2cde70e6f09f6da86ef9da9 | [
"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 | 11,232 | lean | /-
Copyright (c) 2019 Minchao Wu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Minchao Wu, Chris Hughes
-/
import data.list.basic
/-
# Minimum and maximum of lists
## Main definitions
The main definitions are `argmax`, `argmin`, `minimum` and `maximum` for lists.
... |
639ccc8faa4f8ffd023d2cc9d61dcc66c1bc6745 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Data/Json/Printer.lean | 62c92ef4331dcfdc9d1d3ba2bb8bf335e9db681d | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,378 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Marc Huisinga
-/
prelude
import Init.Lean.Data.Format
import Init.Lean.Data.Json.Basic
namespace Lean
namespace Json
private def escapeAux (c : Char) (acc : String) : S... |
9cd8d8ef2b45cd98947a8629246c0488077b0343 | 6e9cd8d58e550c481a3b45806bd34a3514c6b3e0 | /src/topology/metric_space/basic.lean | b327cf8052818970a805d441f71bda939dd01b36 | [
"Apache-2.0"
] | permissive | sflicht/mathlib | 220fd16e463928110e7b0a50bbed7b731979407f | 1b2048d7195314a7e34e06770948ee00f0ac3545 | refs/heads/master | 1,665,934,056,043 | 1,591,373,803,000 | 1,591,373,803,000 | 269,815,267 | 0 | 0 | Apache-2.0 | 1,591,402,068,000 | 1,591,402,067,000 | null | UTF-8 | Lean | false | false | 73,430 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
2064fee87564a044c8c24cf942d00d2669ae94e8 | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/topology/topological_fiber_bundle.lean | 4ad853853edf9142e507da7204789944dd5d9e83 | [
"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 | 25,557 | 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 topology.local_homeomorph
/-!
# Fiber bundles
A topological fiber bundle with fiber `F` over a base `B` is a space projecting on `B` for which the
fibe... |
f384eda292898d7815329b3098293963341b1619 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/homology/augment.lean | 3b4d1154223f81d435fec84c4d52e71734abff18 | [
"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 | 11,072 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.homology.single
import tactic.linarith
/-!
# Augmentation and truncation of `ℕ`-indexed (co)chain complexes.
-/
open category_theory
open category_th... |
33442e8691b0e46956f75060e01d14eaa8b84c44 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/slow/path_groupoids.lean | a0ce90a0a6aa8b3e83948265b90c7f770dfced90 | [
"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 | 24,823 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Jeremy Avigad
-- Ported from Coq HoTT
definition id {A : Type} (a : A) := a
definition compose {A : Type} {B : Type} {C : Type} (g : B → C) (f : A → B) := λ x, g (f x)
infi... |
b11a9f03cdc65ccc3b192e5ee11ebddbc1b06595 | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/mat.lean | 3745d60bdefc1932b285127600c169e63513113e | [] | no_license | skbaek/cvx | e32822ad5943541539966a37dee162b0a5495f55 | c50c790c9116f9fac8dfe742903a62bdd7292c15 | refs/heads/master | 1,623,803,010,339 | 1,618,058,958,000 | 1,618,058,958,000 | 176,293,135 | 3 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 3,405 | lean | import data.matrix.basic data.real.basic
universes u v
namespace matrix
variables {l m n o : Type u} [fintype l] [fintype m] [fintype n] [fintype o]
variables {α : Type v}
-- TODO: move / generalize in matrix.lean
lemma mul_zero' [ring α] (M : matrix m n α) : M.mul (0 : matrix n l α) = 0 :=
begin
ext i j,
unf... |
28771e760404c07f7f27a977b333600e0929e7e9 | 54518a41e0f0c03b53f961e37a3ac2fed5cfeaa9 | /src/aleph_one.lean | 9a38bcd77ac326a7014c23e25bee850941688b62 | [
"Apache-2.0"
] | permissive | cipher1024/flypitch | 9110cbfc99aa2195fe0a903fffc7034cdb00e87c | 357cd9cc344d7b6ea0c1f5d7232956b9ddb39359 | refs/heads/master | 1,598,733,974,743 | 1,572,308,681,000 | 1,572,992,816,000 | 218,170,521 | 0 | 0 | Apache-2.0 | 1,572,308,724,000 | 1,572,308,723,000 | null | UTF-8 | Lean | false | false | 46,132 | lean | import .bvm_extras2
universes u v
namespace pSet
section
open cardinal
lemma regularity (x : pSet.{u}) (H_nonempty : ¬ equiv x (∅ : pSet.{u})) : ∃ (y : pSet) (Hy : y ∈ x), ∀ z ∈ x, ¬ (z ∈ y) :=
begin
have := is_epsilon_well_founded x,
cases exists_mem_of_nonempty H_nonempty with w Hw,
have := this x (subset_s... |
f999b73626287ddedb4172e17fd6e2148fb2b7ab | 761d983a78bc025071bac14a3facced881cf5e53 | /affine/affine.lean | afccc7d9b8adae548ad3f8ee7c70a63b3d247453 | [] | no_license | rohanrajnair/affine_lib | bcf22ff892cf74ccb36a95bc9b7fff8e0adb2d0d | 83076864245ac547b9d615bc6a23804b1b4a8f70 | refs/heads/master | 1,673,320,928,343 | 1,603,036,653,000 | 1,603,036,653,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,141 | lean | import .add_group_action
import .g_space tactic.ext
import algebra.module linear_algebra.basis
universes u v w
variables (X : Type u) (K : Type v) (V : Type w) (ι : Type*)
[field K] [add_comm_group V] [vector_space K V]
abbreviation affine_space
(X K V : Type*)
[field K] [add_comm_group V] [vector_spa... |
b28fa8cf35cbff0c2074a4f7850122bfc2a1df77 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/special_functions/integrals.lean | ad17991a59d8296059500e3b3341129b2ff352c9 | [
"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 | 21,406 | lean | /-
Copyright (c) 2021 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson
-/
import measure_theory.integral.interval_integral
import analysis.special_functions.trigonometric.arctan_deriv
/-!
# Integration of specific interval integrals
... |
ad0cfbb8d4b16e87ab4b529f60c0e3a17cd08082 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /elaborate/concat_empty_nat.stripped.lean | 1d0db47081b8737f5108e115675b85b46ae96c79 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 1,407 | lean | λ {lst : mylist mynat}, mylist.rec (eq.rec true.intro (eq.rec (eq.refl (empty = empty)) (eq.rec (eq.refl (empty = empty)) (propext {mp := λ (hl : empty = empty), true.intro, mpr := λ (hr : true), eq.refl empty})))) (λ (lst_head : mynat) (lst_tail : mylist mynat) (lst_ih : lst_tail ++ empty = lst_tail), eq.rec true.intr... |
0e76e44e5e4670bae87226d37e7c71eb85fe7619 | e38d5e91d30731bef617cc9b6de7f79c34cdce9a | /src/core/kan/basic.lean | b2e614f6d2963a9a967c079a5aa50083c6afc424 | [
"Apache-2.0"
] | permissive | bbentzen/cubicalean | 55e979c303fbf55a81ac46b1000c944b2498be7a | 3b94cd2aefdfc2163c263bd3fc6f2086fef814b5 | refs/heads/master | 1,588,314,875,258 | 1,554,412,699,000 | 1,554,412,699,000 | 177,333,390 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,039 | lean | /-
Copyright (c) 2019 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Author: Bruno Bentzen
-/
import ..interval
universe variable u
-- n-terms of a homogeneous type as iterated function types indexed by I
@[simp] def term (A : Type) : Π (n : ℕ), Type
| 0 ... |
b8593858f1e038ba2863489a6172dca3815e03e3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/polynomial/group_ring_action.lean | cd41f9587ba6ef29d5012976b52f7f92bd659401 | [
"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 | 4,916 | 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 algebra.group_ring_action
import algebra.hom.group_action
import data.polynomial.algebra_map
import data.polynomial.monic
import group_theory.group_action.quotient
/-!... |
8aa21f1db636935acb348d9f31c6725c88927e70 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/wfForIn.lean | 054d6630cffdaaf8f86a943f39474d4fc3930e08 | [
"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 | 298 | lean | inductive Term where
| app (f : String) (args : List Term)
def printFns : Term → IO Unit
| Term.app f args => do
IO.println f
for h : arg in args do
have : sizeOf arg < 1 + sizeOf f + sizeOf args := Nat.lt_trans (List.sizeOf_lt_of_mem h) (by simp_arith)
printFns arg
|
a050eff851723fddcfdfb673d0fd4d5cc2023c13 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Build/Module.lean | a6eaa7ca049091de110cf8c26bd97f56577a3ba6 | [
"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 | 10,778 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Mac Malone
-/
import Lake.Util.OrdHashSet
import Lean.Elab.ParseImportsFast
import Lake.Build.Common
/-! # Module Facet Builds
Build function definitions for... |
47bc50511124dd535d1642a44a70941f367c6b4d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/products/basic.lean | 65d15df5afe92d9437a4d5bdd53c2bec04cdf46b | [
"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 | 10,651 | 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_theory.eq_to_hom
import category_theory.functor.const
import data.prod.basic
/-!
# Cartesian products of categories
We define the ca... |
3a0d2438127a7067256acd25299a2f6a20f6952a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/witt_vector/frobenius_fraction_field.lean | 50c4fba3202de132fa0df8eca772abf6a958a50c | [
"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 | 11,776 | lean | /-
Copyright (c) 2022 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Heather Macbeth
-/
import field_theory.is_alg_closed.basic
import ring_theory.witt_vector.discrete_valuation_ring
/-!
# Solving equations about the Frobenius map on... |
f415d0321d0435880e101037f3c796c00e0f5335 | d5bef83c55d40cb88f9a01b755c882a93348a847 | /tests/lean/run/u_eq_max_u_v.lean | b2e2af918d808ead2dfa44a2b012a4e6999d92df | [
"Apache-2.0"
] | permissive | urkud/lean | 587d78216e1f0c7f651566e9e92cf8ade285d58d | 3526539070ea6268df5dd373deeb3ac8b9621952 | refs/heads/master | 1,660,171,634,921 | 1,657,873,466,000 | 1,657,873,466,000 | 249,789,456 | 0 | 0 | Apache-2.0 | 1,585,075,263,000 | 1,585,075,263,000 | null | UTF-8 | Lean | false | false | 3,182 | lean | universe variables u v u1 u2 v1 v2
set_option pp.universes true
class semigroup (α : Type u) extends has_mul α :=
(mul_assoc : ∀ a b c : α, a * b * c = a * (b * c))
open smt_tactic
meta def blast : tactic unit := using_smt $ intros >> add_lemmas_from_facts >> iterate_at_most 3 ematch
notation `♮` := by blast
struct... |
13d93c3ac540b73ba8d5b66f7d3a3e3340f8738f | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/group/conj.lean | 39efac7b61797f86ce5b36e47d26c9aee6ea8a74 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,536 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Chris Hughes, Michael Howes
-/
import data.fintype.basic
import algebra.group.hom
import algebra.group.semiconj
import data.equiv.mul_add_aut
import algebra.group_with... |
b32fa6f32ef859fc796d114df09d9f19da5a740a | 4f065978c49388d188224610d9984673079f7d91 | /linear_algebra/vector_space.lean | 0aa65e6d0e4eaaca1bf99aac9f2c1cc85d4747a8 | [] | no_license | kckennylau/Lean | b323103f52706304907adcfaee6f5cb8095d4a33 | 907d0a4d2bd8f23785abd6142ad53d308c54fdcb | refs/heads/master | 1,624,623,720,653 | 1,563,901,820,000 | 1,563,901,820,000 | 109,506,702 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 11,505 | lean | import algebra.module
instance field.to_vector_space {K : Type} [field K] :
vector_space K K := ⟨ring.to_module⟩
lemma eq_zero_of_add_self_eq {α : Type} [add_group α]
{a : α} (H : a + a = a) : a = 0 :=
add_left_cancel (by {rw add_zero, exact H})
class subspace (K : Type) (V : Type) [field K] [vector_space K V] (p : ... |
c055b9c83aeee4ab6aa9716f3133d53a07158bba | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/section5.lean | dd5575a007aca7b70683f154787aed17597f5f19 | [
"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 | 264 | lean | section foo
parameter A : Type
variable a : A
definition foo := a
check foo
structure [class] point :=
(x : A) (y : A)
end foo
check foo
attribute [instance]
definition point_nat : point nat :=
point.mk nat.zero nat.zero
print classes
check point
|
9b3d735a98f63f54ec5f77df90e1944e99a11293 | 9e47285bdd500b89455fd905c20aabcd3af1a5cf | /fekete.lean | 8b2c844cf4b5e8c3f0ebd5d8e100cf2ca295c916 | [] | no_license | akreuzer/feteke-lean | d4ec120e3e7dab9d36681499b239f0e57eb18349 | d030101b3ab2aa4155c2aa1a84021e833da3a497 | refs/heads/master | 1,610,987,214,936 | 1,490,906,196,000 | 1,490,906,196,000 | 86,744,981 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,874 | lean | /- Copyright (c) Alexander Kreuzer 2016, 2017
LEAN Proof of Feteke's lemma
-/
import theories.analysis.real_limit
import standard
import ak_utils
import ak_compat
open real nat set rat pnat num classical int analysis
open eq.ops
open ak
set_option pp.coercions true
definition subadditive (X : ℕ → ℝ) : Prop :=
∀... |
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