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fdc348b47a305c00bd8f72fce472d6cb1805c9a8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/uniform_space/cauchy.lean | 3cde6e975a9d1a4b02e58686e56f33ef16b91de4 | [
"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 | 30,349 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.uniform_space.basic
import topology.bases
import data.set.intervals
/-!
# Theory of Cauchy filters in uniform spaces. Complete uniform... |
2ef954d844edb7d3bd9adc97eb2817a7141f4fad | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /stage0/src/Lean/Elab/Tactic/Match.lean | fdd3cebcc67d2318af15fabffc401e6e229528fe | [
"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 | 2,184 | 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.Match
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.Induction
namespace Lean.Elab.Tactic
structure AuxMat... |
d71f958498f01ec6707a60b550c8cf28a5a1dcf2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/heyting/regular.lean | fbacda636ccd0d26f8f3ae79d322be651ee0001c | [
"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 | 6,592 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.galois_connection
/-!
# Heyting regular elements
This file defines Heyting regular elements, elements of an Heyting algebra that are their own double
compl... |
06479dd8cab279d3e89bdba3db9c4c243c588c35 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/t14.lean | d2b170c0829f600418d5f8e4ed8b4a53b82aee7a | [
"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 | 485 | lean | prelude namespace foo
constant A : Type.{1}
constant a : A
constant x : A
constant c : A
end foo
section
open foo (renaming a->b x->y) (hiding c)
check b
check y
check c -- Error
end
section
open foo (a x)
check a
check x
check c -- Error
end
section
open foo (a x) (hiding c) -- Error
end
... |
ebbed2f046c806c5b2fad986b76e1f204137a307 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/function/conditional_expectation/real.lean | a93d5a547b9e7ddc10e322ae737ec99d1663fff7 | [
"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 | 19,712 | lean | /-
Copyright (c) 2022 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Kexing Ying
-/
import measure_theory.function.conditional_expectation.indicator
import measure_theory.function.uniform_integrable
import measure_theory.decomposition.radon... |
bc21abc1b14179d319c0de7013d30d22ee6be70e | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/limits/shapes/terminal.lean | 6785c251e9f3f916bb8c3f00c1fad132d88ff9e8 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 5,211 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.pempty
import category_theory.limits.limits
/-!
# Initial and terminal objects in a category.
## References
* [Stacks: Initial and final obje... |
326121d4813537785931ab7266e9f054c72f136a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Util.lean | 289a098ff25b751c1938328eea2a9cfcae2c7d9f | [
"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 | 9,983 | 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.Parser.Command
import Lean.KeyedDeclsAttribute
import Lean.Elab.Exception
namespace Lean
def Syntax.prettyPrint (stx : Syntax) : Format :=
m... |
3f2fc74981076784c197600295bd9480b6afe136 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/ring_theory/ideal_operations.lean | 40e72caa2ab847c6ce731acf62f1a8656aaa9f42 | [
"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 | 24,843 | 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.... |
e827123db5b7d1fe403545716b611f0a14182d1c | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch2/ex0703.lean | f64dc8c84991faa79a9cd00b870776cb5b4b7902 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49 | lean | open list
#check nil
#check cons
#check append
|
be950c3a659f7bce54fd2d8b9732d9f32d452e58 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_330.lean | 70864bffe96830db0363c1c2106f599d6058abed | [] | 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 | 137 | lean | import tactic
variable {α : Type*}
variables (s t u : set α)
-- BEGIN
example : s ∩ t = t ∩ s :=
by ext x; simp [and.comm]
-- END |
02e9dd4d3ad9c5201760ad7ffe0147a6e8800dbf | 76ce87faa6bc3c2aa9af5962009e01e04f2a074a | /HW/HW3-key.lean | a99300042785ba9d208c78c5f2cc3f51723f84a6 | [] | no_license | Mnormansell/Discrete-Notes | db423dd9206bbe7080aecb84b4c2d275b758af97 | 61f13b98be590269fc4822be7b47924a6ddc1261 | refs/heads/master | 1,585,412,435,424 | 1,540,919,483,000 | 1,540,919,483,000 | 148,684,638 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,635 | lean | /-
Produce a proof, pf1, of the proposition
that 0 = 0 ∧ (1 = 1 ∧ 2 = 2).
-/
lemma pf1 : 0 = 0 ∧ (1 = 1 ∧ 2 = 2) :=
and.intro rfl (and.intro rfl rfl)
/-
Produce a proof, pf2, of the proposition
that (0 = 0 ∧ 1 = 1) ∧ 2 = 2
-/
lemma pf2 : (0 = 0 ∧ 1 = 1) ∧ 2 = 2 :=
and.intro (and.intro rfl rfl) rfl
/-
Produc... |
e8c5391168a49c3b5809b2406c304fb393702d6f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/transfer.lean | a4302fd6b9c76ff87d10fbb5665d0d5750a95805 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,495 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl (CMU)
-/
prelude
import init.meta.tactic
import init.meta.match_tactic
import init.meta.mk_dec_eq_instance
import init.data.list.instances
import logic.relator
open tac... |
59be4c8bfa5c62beab09a93486e1ac88eab9b034 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/polynomial/eval.lean | c5f252ab8e26776cb6510a6cde3d8daa383cf0c7 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 26,299 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.induction
import data.polynomial.degree.definitions
import deprecated.ring
/-!
# Theory of univari... |
a831cb05c1d18f1ec895603ad517f313fd7b14bf | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/list/sort.lean | 4a1bb9136e75317b61cc7e43db8bb65390356cbf | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,792 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Insertion sort and merge sort.
-/
import data.list.perm
namespace list
section sorted
universe variable uu
variables {α : Type uu} (r : α → α → Prop)
def sorted : list ... |
9d2e2ab5008f92291cfefcb81be783a7327bd5a0 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/cycle.lean | 259637ee19d6430a18f8ae5b21acf62a6b404248 | [
"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 | 29,987 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.multiset.sort
import data.fintype.list
import data.list.rotate
/-!
# Cycles of a list
Lists have an equivalence relation of whether they are rotationa... |
15304ffed0c3705c0c6e5fef31b41997a1d95c55 | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/lemmas_for_prime_int.lean | 1d7f749ebb80f639e591d90712579e94640220ff | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,116 | lean | import data.int.basic
import data.int.modeq
import data.int.order
import algebra.group_power
import tactic.ring
import chris_hughes_various.zmod
open nat
--#check int.le
--theorem l_to_le {a b : ℤ} (hab : a < b) : a ≤ b := begin
--unfold has_le.le,
--unfold int.le,
--have h1 : b < b+1, by lt_succ_self b,
--end
defi... |
799a6aa18bc827688a00a5522a093122b5d3864d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/geometry/manifold/conformal_groupoid.lean | 6a75afe7a26f1bc4a8d88f21c8f45b5b3b12bfcc | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,189 | 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.calculus.conformal.normed_space
import geometry.manifold.charted_space
/-!
# Conformal Groupoid
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes... |
eafd2941b2a72dd3a3ba498e7dd40c407e8d5d12 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/lie/ideal_operations.lean | c557c562c3b76587b4b0b70fc22fbb3b18f5846d | [
"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 | 14,349 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.submodule
/-!
# Ideal operations for Lie algebras
Given a Lie module `M` over a Lie algebra `L`, there is a natural action of the Lie ideals of `L`
on ... |
d0c0fa1059ccfeb5e7c199be0cbcec47eb16b4a7 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/sheaves/sheaf.lean | 4bff3f4fc034077ae4ec6bacfb99ab66b1d0164f | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 3,522 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.sheaf_condition.equalizer_products
import category_theory.full_subcategory
/-!
# Sheaves
We define sheaves on a topological space, with valu... |
d7739fb7d219a306880a3806c8bf6d01e872af96 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/continuous_function/stone_weierstrass.lean | 6ba08ff989c622510c7f324edf760b61a9e2aa4a | [
"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 | 19,958 | 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 analysis.complex.basic
/-!
# The Stone-Weierstrass theorem
If a subalgebra `A` of `C(X, ℝ)`,... |
b281d7f41ef88577f857c774759ccb1d06e06829 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/st_options.lean | 3dcdee85bac2b9aff0b9239394a0cfaccae2560a | [
"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 | 2,594 | lean | set_option structure.eta_thm true
set_option structure.proj_mk_thm true
structure semigroup [class] (A : Type) extends has_mul A :=
(mul_assoc : ∀a b c, mul (mul a b) c = mul a (mul b c))
structure comm_semigroup [class] (A : Type) extends semigroup A :=
(mul_comm : ∀a b, mul a b = mul b a)
structure left_cancel_sem... |
014b3d1d08d3afd09657d50b173248f8b021b775 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /analysis/topology/compact_open.lean | 58f5a5fe1565cb6d26062c63406d0327d885f2f7 | [
"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 | 5,540 | 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 analysis.topology.continuity tactic.tidy
open set
universes u v w
section locally_compact
-- There are various definitions of "locally compact space" in the
-- ... |
35750468aa9feb49b852f898528716359f372d68 | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib.lean | c65d2459a6660e169cb460308fa3b3aaeada10a5 | [
"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 | 1,782 | lean | import Mathlib.Algebra.Group.Basic
import Mathlib.Algebra.Group.Defs
import Mathlib.Algebra.GroupWithZero.Defs
import Mathlib.Algebra.Ring.Basic
import Mathlib.Data.Array.Basic
import Mathlib.Data.ByteArray
import Mathlib.Data.Char
import Mathlib.Data.Equiv.Basic
import Mathlib.Data.Equiv.Functor
import Mathlib.Data.Fi... |
3c9863c7b3043a5c92ba146bd8a394879611019b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/alexandroff.lean | fc0fae833aaa8c31a4afd1561a9f6fc85f4290ca | [
"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 | 18,795 | lean | /-
Copyright (c) 2021 Yourong Zang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yourong Zang, Yury Kudryashov
-/
import data.fintype.option
import topology.separation
import topology.sets.opens
/-!
# The Alexandroff Compactification
> THIS FILE IS SYNCHRONIZED WIT... |
7137c3becabcfb2a092162ba47e9feef303d0448 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/basis.lean | f5da0f90de12a8e11ce15b55368b4f51c1371006 | [
"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 | 54,253 | 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
-/
import algebra.big_operators.finsupp
import algebra.big_operators.finprod
import data.fintype.big_operators
import linear_algebra.... |
bcf765795bdf2b440bb01fb76ccb211dbf1ee266 | bd30ef9a38da5172e55165b5cf19d92706763afa | /src/array_group.lean | 72eed949de941aec887536110375f8d4a9b0e186 | [] | no_license | kendfrey/rubiks-cube-group | 8838ce34704d8d150e5feba6f1e536b3d228dd37 | 3baebd73972384294931c75d584a491eb0fbc15c | refs/heads/master | 1,671,557,772,358 | 1,601,554,362,000 | 1,601,554,362,000 | 285,715,961 | 21 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,021 | lean | import algebra.group
open array
variables {n : ℕ} {α : Type*} [group α] (a b c : array n α)
instance : has_mul (array n α) := ⟨array.map₂ (*)⟩
instance : has_one (array n α) := ⟨mk_array n 1⟩
instance : has_inv (array n α) := ⟨flip array.map has_inv.inv⟩
private lemma mul_assoc : a * b * c = a * (b * c) :=
begin
... |
dfae3222a6f2600b160a0793339f23d38a7215e3 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/algebra/group_power.lean | 54256f15b6f4bcea31626ec9ac752123c3065d4a | [
"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 | 29,110 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
The power operation on monoids and groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We h... |
39b6d268dde3ebe8873b9364283d11e85f8f78de | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/order/well_founded_set.lean | 5b090b714432dba21170e6c34fb14b5d9a381f57 | [
"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 | 32,975 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.set.finite
import order.well_founded
import order.order_iso_nat
import algebra.pointwise
/-!
# Well-founded sets
A well-founded subset of an ordered typ... |
f9ad8f1fb7809c48cd843822941a0b55671a2c1d | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /library/hott/logic.lean | 5c47a79f49f713c40f92c7e64db8f489a2c10567 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,314 | 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
abbreviation id {A : Type} (a : A) := a
abbreviation compose {A : Type} {B : Type} {C : Type} (g : B → C) (f : A → B) := λ x, g (f x)
infixl `∘`:60 := co... |
9176db0972f39046e13cb814e981e4d0bba859c4 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch4/ex0506.lean | 1b521dbe3484a2b9d798f12b06e46493af4fa7cd | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 179 | lean | variable f : ℕ → ℕ
variable h : ∀ x : ℕ, f x ≤ f (x + 1)
example : f 0 ≥ f 1 → f 0 = f 1 :=
assume : f 0 ≥ f 1,
show f 0 = f 1, from le_antisymm (h 0) this
|
fc7ea8683c62d303a384ad6cf5d705dee4c47460 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/analysis/complex/basic.lean | be6a21dbcd34ab1f8f13b7f9c48cf97817572fc2 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 8,485 | lean | /-
Copyright (c) Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.complex.module
import data.complex.is_R_or_C
/-!
# Normed space structure on `ℂ`.
This file gathers basic facts on complex numbers of an analytic natur... |
0d28c44cd11da8e9242e5f18c6597341d3766f40 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/homotopy/homotopy_group.hlean | 67326016787b5b66891edb05a57f605a05cd8ea1 | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 11,657 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Clive Newstead
-/
import .LES_of_homotopy_groups .sphere .complex_hopf
open eq is_trunc trunc_index pointed algebra trunc nat is_conn fiber pointed unit
namespa... |
ca35ea672f127d935fe5be0d4ead4aefa7c2e778 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/algebraic_geometry/prime_spectrum.lean | e6223fb1da68219524f40bfdf417481b6eb741ba | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,181 | 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 topology.opens
import ring_theory.ideal.prod
import linear_algebra.finsupp
import algebra.punit_instances
/-!
# Prime spectrum of a commutative ring
The prim... |
6228eb006e93be53c75b3a206bcd612ec3e5d1b9 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/structure.lean | e674284fd2835a3b58fe1258fe5502841b61eaa5 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,193 | lean | import Lean
open Lean
structure S1 :=
(x y : Nat)
structure S2 extends S1 :=
(z : Nat)
structure S3 :=
(w : Nat)
structure S4 extends S2, S3 :=
(s : Nat)
def check (b : Bool) : CoreM Unit :=
«unless» b $ throwError "check failed"
class S5 :=
(x y : Nat)
inductive D
| mk (x y z : Nat) : D
def tst : CoreM Unit :... |
5e2441454163f36b57ea17b437f106d70f95cf3f | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/backward_rule1.lean | e5e505dc96b6e2f3034df804324ceb8b1464c2e3 | [
"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 | 206 | lean | constants (A B C : Prop) (H : A → B) (G : A → B → C)
constants (T : Type) (f : T → A)
attribute H [backward]
attribute G [backward]
attribute f [backward]
print H
print G
print f
print [backward]
|
1b585803c19f267ec1afec3617206b0c4eff41de | 022547453607c6244552158ff25ab3bf17361760 | /src/measure_theory/borel_space.lean | 86c28580f104cab3d0d0f1739137ed740be2ee44 | [
"Apache-2.0"
] | permissive | 1293045656/mathlib | 5f81741a7c1ff1873440ec680b3680bfb6b7b048 | 4709e61525a60189733e72a50e564c58d534bed8 | refs/heads/master | 1,687,010,200,553 | 1,626,245,646,000 | 1,626,245,646,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65,100 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.ae_measurable_sequence
import analysis.complex.basic
import analysis.normed_space.finite_dimension
import topology.G_delta
impo... |
3f4fa6d320ed7c73bf8f93564ecbf3d376167cfa | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/trace.lean | c164ee18444f2bb539764ef096ef9289e243d927 | [
"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 | 11,305 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen, Antoine Labelle
-/
import linear_algebra.matrix.to_lin
import linear_algebra.matrix.trace
import linear_algebra.contraction
im... |
138370ec191a79496581b5e11231b92847d3e96c | a6b711a4e8db20755026231f7ed529a9014b2b6d | /ZZ_IGNORE/RAW/02_dm_int/dm_int.lean | 7b33b2d6eb1393a7302dccbea58288cce6a3525e | [] | no_license | chaseboettner/cs-dm-1 | b67d4a7e86f56bce59d2af115503769749d423b2 | 80b35f2957ffaa45b8b7a4479a3570a2d6eb4db0 | refs/heads/master | 1,585,367,603,488 | 1,536,235,675,000 | 1,536,235,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 119 | lean | import ..dm_nat.dm_nat
inductive integer : Type
| of_nat : natural → integer
| neg_succ_of_nat : natural → integer |
b814890d2f0a864cde31929819c2eddace66104e | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/list/perm.lean | fdc7b9051c17da0b1f7959f9a157b2642a72e64c | [
"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 | 40,948 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
List permutations.
-/
import data.list.basic data.list.set
open list setoid nat binary
variables {A B : Type}
inductive perm : list A → list A → Prop :=
| ni... |
2a31f3f1165b3371de8f9b46d04be932bc486f4d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/geometry/manifold/partition_of_unity.lean | 8d129b488da36c47455a15acbacc5a18a1baa47b | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 27,475 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import geometry.manifold.algebra.structures
import geometry.manifold.bump_function
import topology.metric_space.partition_of_unity
import topology.shrinking_l... |
8fb651024842049bc9a7c4c9a71bf4b22f2e7ad1 | 5cb186111bc6de231aef3b26698e9235da128bb0 | /move.lean | 6698ccc913b3cfabb744c51b2b37c7bb268f3044 | [] | no_license | Kha/syntax | 2f96982b920a24d9bdbbb48ad6acce1817e62f26 | af05028581955d9fd5af99be9cbb82f5c9226551 | refs/heads/master | 1,631,456,662,519 | 1,523,806,396,000 | 1,523,978,266,000 | 110,000,924 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,928 | lean | -- non-meta instance
attribute [derive decidable_eq] name
universes u v w
namespace name
-- TODO: make original non-meta by making decidable_eq instance non-meta
def replace_prefix' : name → name → name → name
| anonymous p p' := anonymous
| (mk_string s c) p p' := if c = p then mk_string s p' else mk... |
76a0e015fa0c30242613309f7fddf69a37c895c2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/localization/integer.lean | 512ea6a21df5ef57f904f2559690173d3d2bc84f | [
"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 | 5,390 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import ring_theory.localization.basic
/-!
# Integer elements of a localization
## Main definitions
* `is_loc... |
f9b79f48da13afc752772d9ce2cd12d8bb4394ea | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/polynomial/mirror.lean | 16b41f1eea6b0e2bf8662d0fb56052952b08ab19 | [
"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 | 8,655 | lean | /-
Copyright (c) 2020 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import algebra.big_operators.nat_antidiagonal
import data.polynomial.ring_division
/-!
# "Mirror" of a univariate polynomial
> THIS FILE IS SYNCHRONIZED WITH MAT... |
d30007870ce63ad5b2a7ed817478fd4d7780b321 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/fib_brec.lean | ecd88c82bf94278b1096dd2ff54b667d1b4964bd | [
"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 | 1,091 | lean | import data.nat.basic data.prod
open prod
namespace nat
namespace manual
definition brec_on {C : nat → Type} (n : nat) (F : Π (n : nat), @nat.below C n → C n) : C n :=
have general : C n × @nat.below C n, from
nat.rec_on n
(pair (F zero poly_unit.star) poly_unit.star)
(λ (n₁ : nat) (r₁ : C n₁ × @... |
379c32ddbeab98f2f637d9b5bff36da4d9fc8b0a | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/multiset/intervals.lean | db4bb4fee79c38aaf4ef0db2a3f4d99ce1afb4e1 | [
"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 | 3,467 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.multiset.nodup
import data.list.intervals
/-!
# Intervals in ℕ as multisets
For now this only covers `Ico n m`, the "closed-open" interval containing `[... |
e406ac002f9bba156f48c75dac156542340f2b7d | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/geometry/euclidean/monge_point.lean | 6fa7a0dc05769c53add54b4470bab095f02d4950 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 38,586 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.circumcenter
/-!
# Monge point and orthocenter
This file defines the orthocenter of a triangle, via its n-dimensional
generalization, the Mong... |
e43f456acdc5cd2570f9ec7dd78814c353e2f42a | 495c02489c2d6a1db94dfdba71dd800d3cc67df2 | /group_theory/subgroup.lean | b1ca1c32795e2f6ee596ac11612d0369a7ad181b | [
"Apache-2.0"
] | permissive | leodemoura/leanproved | e0fcbe4f4d72bf0dad9a962ed111b5975cf90712 | de56e0af159dd0c0421733289c76aa79c78a0191 | refs/heads/master | 1,606,822,676,898 | 1,435,711,541,000 | 1,435,711,541,000 | 36,675,856 | 0 | 0 | null | 1,433,178,724,000 | 1,433,178,724,000 | null | UTF-8 | Lean | false | false | 18,812 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import data algebra.group data
open function
-- ⁻¹ in eq.ops conflicts with group ⁻¹
-- open eq.ops
local notation H1 ▸ H2 := eq.subst H1 H2
open set
local attribute set... |
8bdd618cabd7cb69a5a83c807fafd0048f396524 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/geometry/manifold/manifold.lean | c8f5500bf58ccf74096fd496ae83c3ba82b09f81 | [
"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 | 26,457 | 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
/-!
# Manifolds
A manifold is a topological space M locally modelled on a model space H, i.e., the manifold is
covered by op... |
7af9e3ddf9a4a4bc87bae3d2b3127dce002eadf5 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /tests/lean/run/1331.lean | 31fdcb5e79a853e07f0734894917e455a97d1d9a | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 369 | lean | def is_space : char → Prop
| #" " := true
| #"\x09" := true -- \t
| #"\n" := true
| #"\x0d" := true -- \r
| _ := false
instance is_space.decidable_pred : decidable_pred is_space :=
begin delta is_space, apply_instance end
def f (a : nat) : nat :=
a + 2
open tactic
lemma flemma : f 0 = 2 :=
begin
delta ... |
ad60b1111aa1dd81bc05da33c1d8eb91f5d162d9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/simpCnstr1.lean | e55b1074b75c30f7a18f097b7100a7c9799fdf06 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,439 | lean | import Lean
open Lean in open Lean.Meta in
def test (declName : Name) : MetaM Unit := do
let info ← getConstInfo declName
forallTelescope info.type fun _ e => do
let some (e', p) ← Linear.simp? e none | throwError "failed to simplify{indentExpr e}"
check p
unless (← isDefEq (← inferType p) (← mkEq e e'... |
95e7bda4f1d3fdd3c98f4bcd362fd7fe7a339ca9 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world2/level4.lean | 9b6b9beface84373e3bf6df987748fcc793dc582 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 1,075 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level3 -- hide
namespace mynat -- hide
/-
# World 2 -- Addition world
## Level 4 (boss level) : `add_comm`
You are equipped with:
* `add_zero (a : mynat) : a + 0 = a`
* `add_succ (a b : mynat) : a + succ(b) = succ (a + b)`
* `zero_ad... |
93285172aa45a1c22e97d38b84c777fa13cdd460 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Server/Snapshots.lean | 488fec2aea11462bcb9945fb88edeaf2ab2f1114 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,656 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Init.System.IO
import Lean.Elab.Import
import Lean.Elab.Command
/-! One can think of this module as being a partial reimplementation
of Lean.Elab.Fron... |
674efd1d9f7295e1e41ab1526d468e8bc979a079 | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/type_library/bool.lean | 8e7ffae47e6274cd77efdf6143d63555b5c3b0fc | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 938 | lean | #check bnot
namespace hidden
/-
The bool data type is a simple,
two-valued (true/false) type. A
set of operations is defined on
values of this type comprising
Boolean algebra.
EXERCISE: Complete this file as
instructed below.
-/
inductive bool : Type
| tt
| ff
/-
Note: The identifiers ff and tt
without qualifica... |
560f3ca63e239f7b461bf48cef625b262ffd1947 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Meta/Basic.lean | 3d0d54ce1aa4a2ffd029dd2bf0d353a53724b5b8 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 45,125 | 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.Data.LOption
import Lean.Environment
import Lean.Class
import Lean.ReducibilityAttrs
import Lean.Util.Trace
import Lean.Util.RecDepth
import Lea... |
7c9b1364e629d64799d5c8d2ea1aab0d90583410 | 23c79f5a2b724d0a6865a697f74bc337c40a1c17 | /verified-counting/src/list_lemma.lean | dc60003d1167b2d9458ed97195e6f5e43f984b29 | [] | no_license | mukeshtiwari/Puzzles | 145e679e637d1c36363c90863cba7c0fda0190b1 | 4a760e7dc6c65cab0fde86d0296d863c62fdda29 | refs/heads/master | 1,608,024,738,873 | 1,607,504,305,000 | 1,607,504,305,000 | 5,691,003 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 691 | lean | import
tactic.find tactic.omega
data.vector tactic.basic
lemma zip_with_len_l {α β γ : Type*} {l₁ : list α} {l₂ : list β} {f : α → β → γ}
(h : list.length l₁ = list.length l₂) :
list.length (list.zip_with f l₁ l₂) = list.length l₁ :=
begin
induction l₁ with x xs ih generalizing l₂,
{simp [list.zip_wit... |
af8e44c2de52e8703e79f87106dec2097bef66b1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/hom/lattice.lean | 033a64c543d1556d2c70beb05078c4cd5c0b1c36 | [
"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 | 42,781 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.finset.lattice
import order.hom.bounded
import order.symm_diff
/-!
# Lattice homomorphisms
This file defines (bounded) lattice homomorphisms.
We use the `f... |
73042d04a45a68f821f599d92c152bd829ae7801 | 7565ffb53cc64430691ce89265da0f944ee43051 | /hott/homotopy/freudenthal.hlean | 07329ef14e11449e90d95c11aedfa43c1775ccdd | [
"Apache-2.0"
] | permissive | EgbertRijke/lean2 | cacddba3d150f8b38688e044960a208bf851f90e | 519dcee739fbca5a4ab77d66db7652097b4604cd | refs/heads/master | 1,606,936,954,854 | 1,498,836,083,000 | 1,498,910,882,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,702 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
The Freudenthal Suspension Theorem
-/
import homotopy.wedge homotopy.circle
open eq is_conn is_trunc pointed susp nat pi equiv is_equiv trunc fiber trunc_index
n... |
4efe3846b12e44e616681d48e257869bf353ea29 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/order/complete_lattice.lean | 4eff73521275392c184060bedc422524ea588474 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 41,166 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.bounds
/-!
# Theory of complete lattices
## Main definitions
* `Sup` and `Inf` are the supremum and the infimum of a set;
* `supr (f : ι → α)` and `in... |
1a0c496bd0830fd8e99fcbbb05b1a86fb7c6c447 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/group/integration.lean | 1143a97806c65af239036f52e3c6d9b739739a4f | [
"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 | 8,406 | lean | /-
Copyright (c) 2022 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.integral.bochner
import measure_theory.group.measure
import measure_theory.group.action
/-!
# Integration on Groups
We develop properties ... |
08283b6675de6683280bd3f7d9eefeae51bebba7 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/InfoTree.lean | 0e84967de2c2800a82aaa8869cf177759a9c9b8f | [
"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 | 15,245 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Data.Position
import Lean.Expr
import Lean.Message
import Lean.Data.Json
import Lean.Meta.Basic
import Lean.M... |
1a83f71d7723c21f75b0c8932fb5c83734a95b53 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/functor/currying.lean | 26a95ef824fa72f0f065bac21f81b0ef9732ab3f | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,017 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.products.bifunctor
/-!
# Curry and uncurry, as functors.
We define `curry : ((C × D) ⥤ E) ⥤ (C ⥤ (D ⥤ E))` and `uncurry : (C ⥤ (D ⥤ E)) ⥤ ((C... |
e405bc3677ee5cd8c4dfed20126a65511ecc33b3 | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/sheaves/presheaf.lean | f8401c44654dbec2df3db4ff4185ae1dadadc997 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 1,930 | lean | /-
Presheaf (of types).
https://stacks.math.columbia.edu/tag/006D
Author: Ramon Fernandez Mir
-/
import topology.basic
import topology.opens
universes u v
-- Definition of a presheaf.
open topological_space lattice
structure presheaf (α : Type u) [topological_space α] :=
(F : opens α → Type v)
(res :... |
e2fe4ba0b5a9bacb5104b7361c1b765d7b5a5dd8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/qpf/multivariate/constructions/sigma.lean | 98bc5f1c1ace79ced8d4206bbfd119099d8edb79 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,034 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.pfunctor.multivariate.basic
import data.qpf.multivariate.basic
/-!
# Dependent product and sum of QPFs are QPFs
-/
universes u
namespace mvqpf
open_locale m... |
9fcb8525bd9c8ea9a4cbedf778fc9216af8a69d4 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/get_free_var_range.lean | 4174e3d7d8db8f204899d484cd83b53ff5d22d0f | [
"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 | 262 | lean | -- should be 0
#eval expr.get_free_var_range `(Type)
-- should be 2
#eval expr.get_free_var_range (expr.lam `hello binder_info.default `(Type) $ expr.app (expr.var 1) (expr.var 2))
-- should be 3
#eval expr.get_free_var_range (expr.app (expr.var 1) (expr.var 2)) |
164d0bbe85965b7280fded35f66c65a682c0021b | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/group_theory/perm/sign.lean | ccc3f63400670ff72c82dd203eb170c252a8299c | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 32,962 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.fintype
universes u v
open equiv function fintype finset
variables {α : Type u} {β : Type v}
namespace equiv.perm
def subtype_perm (f : perm α) {p : α → Pr... |
f0f419bf6eedd42585c64f97cd2552f9fc791d65 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/group.lean | 216472bfea4305a951ab3ed644ac945b5b7944b9 | [
"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 | 24,027 | 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
Various multiplicative and additive structures. Partially modeled on Isabelle's library.
-/
import logic.eq data.sigma data.prod
import algebra.binary ... |
3a4a4771fc211254800901308ae06e345cb52e22 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/analysis/normed_space/finite_dimension.lean | d01acb2c07f0830a5f3a047d2875710bae4e9e51 | [
"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 | 12,345 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import linear_algebra.finite_dimensional
import tactic.omega
/-!
# Finite dimensional normed spaces over complete fi... |
e145e8301d1bf5678ef6a8093d1c4b8556d3f986 | a3d3bdc686e1395146a6eecc22431ac7fafb6bc7 | /examples/ping_pong_server.lean | 33cc85b2b3912b3aaa9ce5f7731781f5b68e11f7 | [
"Apache-2.0"
] | permissive | jroesch/net | c66581150cad7fc8f10fe1b5fecdae2912211f75 | 218eac82ea4a4956f63a01e88dc3d2fbbad406c8 | refs/heads/master | 1,606,948,723,891 | 1,499,287,492,000 | 1,499,287,492,000 | 96,160,509 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 431 | lean | import system.io
import ..src.net
variable [io.interface]
def main : io unit := do
io.print_ln "starting ping-pong server ...",
listener ← tcp_listener.bind "localhost" 3000,
io.print_ln "listening on localhost:3000",
io.forever $ do
stream ← tcp_listener.accept listener,
io.print_ln "... |
c982c80fa09f12996b7962e07d1a645b33fe820c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/basic.lean | 34396e367320d1faa226494e8a07182262340b0c | [
"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 | 187,697 | 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 control.monad.basic
import data.nat.basic
import order.rel_classes
import algebra.group... |
543245e315775e623b66471c5b0f39c673cbddea | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/field_theory/mv_polynomial.lean | 395b6334349f2451df2a77c9661375c1e4aededa | [
"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 | 3,355 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Multivariate functions of the form `α^n → α` are isomorphic to multivariate polynomials in
`n` variables.
-/
import linear_algebra.finsupp_vector_space
import algebra.c... |
3d4671f8e5902e9c8d6dc2957a90f2d5f442fc0e | a51edd9a1700339fa6dc7dc428eb5dfa3994b8bc | /src/misc/keyed_array.lean | 4f410c92aa07c64d61aa5583fe7b23bbc0c383ce | [] | no_license | avigad/formal_logic | 83f5c0534b3e9e7da53eff01bb82289daad65555 | 59d7fe7cb7a7927fb72d89d4fd40965bcd769349 | refs/heads/master | 1,585,302,642,116 | 1,541,000,469,000 | 1,541,000,469,000 | 146,376,915 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,645 | lean | /-
A keyed_array is an array of data, each with a string key. The array index acts as a unique id. The
rbmap provides the inverse: given a key, it finds the index.
-/
import data.list
structure keyed_array (α : Type*) :=
(size : nat) (array : array size (string × α)) (rbmap : rbmap string nat)
namespace keyed_array
... |
bb9007b59e49f21d518999f5617f1e671c216ab9 | 6df8d5ae3acf20ad0d7f0247d2cee1957ef96df1 | /ExamPractice/Exam-1-Practice.lean | c2b36419c5b8e62623cbcbbbfdf67e3d45769d7c | [] | no_license | derekjohnsonva/CS2102 | 8ed45daa6658e6121bac0f6691eac6147d08246d | b3f507d4be824a2511838a1054d04fc9aef3304c | refs/heads/master | 1,648,529,162,527 | 1,578,851,859,000 | 1,578,851,859,000 | 233,433,207 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,900 | lean | /-
Grading rubric. 7 points per question up to 100 max.
Partial credit by subproblem.
-/
/-
Note: An incorrect answer above or below
a correct answer can cause Lean to be unable
to process the correct answer. If you are not
able to complete a problem succesfully please
comment out your incomplete answer so that we
can... |
cd5de459a053a5c7f9e472f2ab1dcb715d4efe2d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/set/intervals/image_preimage.lean | bab08e24fcdd84a48295bc65caf261d9719a52df | [
"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 | 20,625 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot
-/
import data.set.intervals.basic
import data.equiv.mul_add
import algebra.pointwise
/-!
# (Pre)images of intervals
In this file we prove a bu... |
38fc8349ca5da6e5975009b6f4c61a9a03b58dae | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/nat/factorial/basic.lean | d9fe35f593f0477eae0dfb20d04739996404adda | [
"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 | 14,766 | 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, Floris van Doorn, Yaël Dillies
-/
import data.nat.basic
import data.nat.pow
/-!
# Factorial and variants
This file defines the factorial, along with the... |
76afff6ebf62725b1fa68825963cf5bf52b61d51 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/complex/circle.lean | 66aebc42a9920a4a8324b405785cac0e2dc377d1 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,407 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.special_functions.exp
import topology.continuous_function.basic
import analysis.normed.field.unit_ball
/-!
# The circle
This file defines `circle`... |
423376fe19532ee90b643080024fb346391b8920 | bf532e3e865883a676110e756f800e0ddeb465be | /data/list/basic.lean | 4a6c3acc115ae69e813c294c6a70dbaa09e7e4d0 | [
"Apache-2.0"
] | permissive | aqjune/mathlib | da42a97d9e6670d2efaa7d2aa53ed3585dafc289 | f7977ff5a6bcf7e5c54eec908364ceb40dafc795 | refs/heads/master | 1,631,213,225,595 | 1,521,089,840,000 | 1,521,089,840,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 126,941 | 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
Basic properties of lists.
-/
import tactic.interactive algebra.group logic.basic logic.function... |
84df0c95bfc8cfaeb6e128eff68f4eebe8e1011e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/matrix/hermitian.lean | d2d1767b917d4c0a76c9b710a479f81f3fe24d86 | [
"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 | 8,393 | lean | /-
Copyright (c) 2022 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import analysis.inner_product_space.pi_L2
/-! # Hermitian matrices
This file defines hermitian matrices and some basic results about them.
## Main definiti... |
bf47e4bee48c3fb73bb098128612ffb3c8f91f61 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/measurable.lean | 6bf30f1d2a32501a7cbdf99f0cf56042621ef2f8 | [
"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 | 219 | lean | open prod nat
example (a b : nat) : size_of (a, true, bool.tt, (λ c d : nat, c + d), option.some b) = a + b :=
rfl
example : size_of (pair (pair (pair (2:nat) true) (λ a : nat, a)) (option.some (3:nat))) = 5 :=
rfl
|
f1b74f388d8dadbb85bd5bd39eb092f76939e1d7 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/logic/examples/negative.lean | e62fdf13430f0edf1f0d16bd7df4c513646ca5fd | [
"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 | 785 | lean | /-
This example demonstrates why allowing types such as
inductive D : Type :=
| intro : (D → D) → D
would make the system inconsistent
-/
/- If we were allowed to form the inductive type
inductive D : Type :=
| intro : (D → D) → D
we would get the following
-/
universe l
-- The new type A
axiom D : Ty... |
d866331f1ab559f29a528543b9c95faf7b725cb9 | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/restrict.lean | 86846566a239710b69979197b90fdc0903ff0e18 | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 12,965 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
dfe13acd4595a758fcc6798a0ee4ed4ae176dfad | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/tactic/lint/type_classes.lean | c8a778dacc12f76394c67b3ba6a36666328e3c07 | [
"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 | 23,325 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis, Gabriel Ebner
-/
import data.bool.basic
import meta.rb_map
import tactic.lint.basic
/-!
# Linters about type classes
This file defines several li... |
ed2b2ebfe726fcb784c97aaf086ea97d9cb24392 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/init/meta/quote.lean | 78e9bbce5bd6450d78b152bf467a29f72c7732c7 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 1,815 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.meta.tactic
open tactic
meta class has_quote (α : Type) :=
(quote : α → pexpr)
@[inline] meta def quote {α : Type} [has_quote α] : α ... |
a7bb0f727b04eb1170eb0b4989ab3e97ccb46b4c | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/topology/order.lean | d1a1c89e6b25dc29942735ca9a6c73820a3eed3a | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,737 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.tactic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
Tha... |
d372aad4a64bc5288310289121017e50e56f0f20 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/prime_counting.lean | 8a61f224fd7806aac850ac205188024fe1069ab0 | [
"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 | 3,386 | lean | /-
Copyright (c) 2021 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
import data.nat.prime
import data.nat.totient
import data.finset.locally_finite
import data.nat.count
import data.nat.nth
/-!
# The Prime Counting Function
In this f... |
26fbac85982f1ebdad97efec32a153d8b3dafdc5 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/algebra/module/pi.lean | 4adf5a3c12e0899416a8a2782b68d819fe226410 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,524 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import algebra.module.basic
import algebra.regular.smul
import algebra.ring.pi
/-!
# Pi instances for module and multiplicative actions
This file defines ... |
cf9a1c1ade0edf6110835e5833cf6c7953fa7cec | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/category/Cat/limit.lean | d5ece82aebf5ca92af06417ab11e81562810924f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,549 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.category.Cat
import category_theory.limits.types
import category_theory.limits.preserves.basic
/-!
# The category of small categories has all ... |
c0b1802288d2dd9ff27fed258ca8920203bf6572 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/limits/types.lean | 9410c3e4c4b4174adf45a43dd59f60bf956ce808 | [
"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 | 15,017 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import category_theory.limits.shapes.images
import category_theory.filtered
import tactic.equiv_rw
universes u
open category_theory
open category_theor... |
06f2f30b278b7e4e88c4d145b33ae560bfb1d7d9 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/meta/format.lean | 705372a4be98a33a42bb8dd739b12973e4f8d623 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 4,669 | 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.options init.function
universes u v
inductive format.color
| red | green | orange | blue | pink | cyan | grey
meta constant form... |
1317a843e37247c27435d5ca1f47f78149bc32b3 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/App.lean | 378340ca4c6329c85fe2eba8849408628b4503e5 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 66,434 | 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.Util.FindMVar
import Lean.Parser.Term
import Lean.Meta.KAbstract
import Lean.Meta.Tactic.ElimInfo
import Lean.Elab.Term
import Lean.Elab.Binders... |
cfd89e188c7201f7c51092ddfbda3a89c3d1f067 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebraic_topology/dold_kan/p_infty.lean | bfdcca8a76d360f10a7c058db206b9db621851c0 | [
"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 | 5,929 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.projections
import category_theory.idempotents.functor_categories
import category_theory.idempotents.functor_extension
/-!
# Construction ... |
1739a5b427166521cfff74bfab3e9743cf306a14 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/num_bug2.lean | b9c53b3aa1d07534f35c8b243050d8dbc818233a | [
"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 | 373 | lean | import algebra.ring data.num
open algebra
variable A : Type
variable s : ring A
variable H0 : 0 = (0:A) -- since algebra defines notation '0' it should have precedence over num
variable H1 : 1 = (1:A) -- since algebra defines notation '1' it should have precedence over num
example : has_zero.zero A = has_zero.zero A ... |
b827c23bea6cf9afbf9ed23a01165168c5eddead | ba4794a0deca1d2aaa68914cd285d77880907b5c | /src/mynat/definition.lean | 0aeb2d7885da2d1defbe94a5c0bd94495c352f34 | [
"Apache-2.0"
] | permissive | ChrisHughes24/natural_number_game | c7c00aa1f6a95004286fd456ed13cf6e113159ce | 9d09925424da9f6275e6cfe427c8bcf12bb0944f | refs/heads/master | 1,600,715,773,528 | 1,573,910,462,000 | 1,573,910,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 912 | lean | import tactic.structure_helper
import tactic.less_leaky
/-
mynat/definition.lean -- definition of mynat.
Supplies:
constants zero : mynat and one : mynat
function S : mynat → mynat
notation 0 for zero and 1 for one.
The below code will be *invisible to the player*
-/
-- definition of "the natural number... |
255bd5c9958c749aa5b9d86015e4d90b9db3d192 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_topology/dold_kan/p_infty.lean | 9cd1e7881ba99675aacd44978425014cae41fc72 | [
"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 | 7,844 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.projections
import category_theory.idempotents.functor_categories
import category_theory.idempotents.functor_extension
/-!
# Construction ... |
50b185976a541c1f14270ba9e4d22c347a5f111d | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/mv_polynomial/equiv.lean | a1158863d41a6e300b78fb387bc8fc2e43df2069 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,812 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import data.mv_polynomial.rename
import data.equiv.fin
/-!
# Equivalences between polynomial rings
This file establishes a number o... |
213bd1b7c65687149f7c3d7b75aa5a610c59e345 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/universal/monic.lean | bd725f24a9b245f18b340195c048db0322ed6856 | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 933 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.limits.equalizers
import category_theory.abelian.monic
open category_theory
open category_theory.limits
namespace category_theory.univers... |
d1c7dc5cdd16dea7dd31d52bfceff84b226b988d | 21ee31472b6ad765d2d9f8f655301d8b6ad921c2 | /math/leanprover/lean1.lean | 3f750c792a3dc26a06099f54f9dd3043e815d542 | [] | no_license | anandijain/learning | 2229472c40ca651a20cff9c52dabc3e6c3a8aeca | 14c98cb0b89805c74e9e8d1afba7945d69ec4b67 | refs/heads/master | 1,594,406,566,371 | 1,586,458,652,000 | 1,586,458,652,000 | 204,337,259 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 560 | lean | import system.io
open io
def get_file (fn : io char_buffer): io char_buffer :=
fs.read_file "/home/sippycups/learning/math/leanprover/" ++ fn
def hello_world : io unit :=
do s <- get_file,
put_str s.to_string
-- #check (@put_str : string → io unit)
-- #check(@get_line : io string)
#eval hello_world
--... |
de25016e4bfa425f7c6e21c4c634daff51fec706 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/theories/analysis/ivt.lean | 2894a443b305c127d2e5b1c9a494c52f6d437091 | [
"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 | 11,047 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
The intermediate value theorem.
-/
import .real_limit
open real analysis set classical
noncomputable theory
private definition inter_sup (a b : ℝ) (f : ℝ → ℝ) := sup... |
0f632127a58aed4af50ec36f44fd870e86e2e10c | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /category/traversable/lemmas.lean | 44ad4da0dfb90b987f83f4ad32adf50466567364 | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 2,274 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Lemmas about traversing collections.
Inspired by:
The Essence of the Iterator Pattern
Jeremy Gibbons and Bruno César dos Santos Oliveira
In Journal of Functional... |
16271a2e812a321a9c78f6a9761dea463ee44d26 | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/analysis/complex/polynomial.lean | dfd928da51f09dd64eb52f37493a3a96fc5095d6 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 5,972 | lean | /-
Copyright (c) 2019 Chris Hughes All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.polynomial topology.algebra.polynomial analysis.complex.exponential
open complex polynomial metric filter is_absolute_value set lattice
namespace complex
le... |
09f557c45edfc969a630673dac2dba3bcd7afd21 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/linear_algebra/char_poly/basic.lean | d79e7c7c20775d673274d5db9f557815692d4a7a | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,809 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import tactic.apply_fun
import ring_theory.matrix_algebra
import ring_theory.polynomial_algebra
import linear_algebra.nonsingular_inverse
import tactic.squeeze
/-!
#... |
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