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10b25f25008e003b9cc0d427ffc276d04b43baa1 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/cody2.lean | ac356b33d440751344a012d6be5de0a316c67b68 | [
"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 | 425 | lean | import logic
abbreviation subsets (P : Type) := P → Prop.
section
hypothesis A : Type.
hypothesis r : A → subsets A.
hypothesis i : subsets A → A.
hypothesis retract {P : subsets A} {a : A} : r (i P) a = P a.
definition delta (a:A) : Prop := ¬ (r a a).
notation `δ` := delta.
theorem delta_aux : ¬ (δ (i delta))... |
c3cca82c9867ea6b322d80fc8080164adc9748ca | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/ring/ulift.lean | e39ea0479ab0aa38fb4f60a9072761073c658ff8 | [
"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 | 5,151 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.ulift
import algebra.ring.equiv
/-!
# `ulift` instances for ring
This file defines instances for ring, semiring and related structures on `ulif... |
31e2571e34123fc17bc118a2405b08b44854dbed | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/local_homeomorph.lean | 0b98b81626be8b9589a8da93fd9d931e66ceea6a | [
"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 | 37,806 | 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 data.equiv.local_equiv
import topology.opens
/-!
# Local homeomorphisms
This file defines homeomorphisms between open subsets of topological spaces. An... |
47ed808ea6a6cdccfa247fcc6f42e513e013f5fe | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.7.lean | d6bbc1785a896e31ec0e8e73c00b2967d808cd0e | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 128 | lean | import standard
theorem test (p q : Prop) (Hp : p) (Hq : q) : p ∧ q ∧ p :=
by apply (and.intro Hp); exact (and.intro Hq Hp)
|
e466c187c1666929209fb362950f22c0df9beb7c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/858.lean | 43aeb6ad597bfadb672af5a57583289b70391d29 | [
"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 | 39 | lean | section
parameter (n : Πa, nat)
end
|
f8d92ed660ebbb3fb892f7374460661cccbf890d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/probability/cond_count.lean | 3145180686d02199472b3c9d4f64b52677c8cc71 | [
"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 | 8,870 | lean | /-
Copyright (c) 2022 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Bhavik Mehta
-/
import probability.conditional_probability
/-!
# Classical probability
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corre... |
c4bcbc6f4ff61e2db8263745bd6830521a1639af | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/algebra/ring.lean | fb470746e5f31c3a08925d2f07ad3fee50273c85 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,036 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.algebra.group
/- Make sure instances defined in this file have lower priority than the ones
defined for concrete stru... |
428a1d396e347d9224de5a40df8dcce81dcede38 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/order/monoid_lemmas.lean | dede9ac014afc29891947dd70874623b62a3f5f4 | [
"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 | 45,376 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl, Damiano Testa,
Yuyang Zhao
-/
import algebra.covariant_and_contravariant
import order.monotone
/-!
# Ordered monoids
... |
483e9d9caf74a2dc2a48df21750884e1cf575e82 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_lean_summary/unnamed_138.lean | b594add11f36fd8ee2b7ae8f4e47bf8d57f21234 | [] | 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 | 158 | lean | variables p q : Prop
-- BEGIN
example (h : p ∧ q) : q :=
begin
have hq : q, from
h.right, -- Term-style right and elimination.
exact hq,
end
-- END |
2a179711b390bc60c5ac5356f56e42f4f5c4f614 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/PreDefinition/WF/PackDomain.lean | b90a119f972688cda14d8d15dbdf285f46a02e48 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,462 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.PreDefinition.Basic
namespace Lean.Elab.WF
open Meta
/--
Given a (dependent) tuple `t` (using `PSigma`) of the given arity.
Return an... |
414d58952027b89cc82ae1c96498053e94f2dff7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/nonarchimedean/basic.lean | 627036977fa6faf1a389c0109d9b864f27c8187f | [
"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 | 6,303 | lean | /-
Copyright (c) 2021 Ashwin Iyengar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Ashwin Iyengar, Patrick Massot
-/
import group_theory.subgroup.basic
import topology.algebra.open_subgroup
import topology.algebra.ring
/-!
# Nonarchime... |
48c553ad84b0d6e333597491d0c9092269b7510d | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/normed_space/pi_Lp.lean | 63a5c0410403f11947c62465d573d47fe43191ef | [
"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 | 15,300 | 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 analysis.mean_inequalities
/-!
# `L^p` distance on finite products of metric spaces
Given finitely many metric spaces, one can put the max distance on t... |
6473dcf95fa458b2e8510ad1d6556881434e2c19 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/category_theory/fully_faithful.lean | c0e398a7e5599bc68a64aba37dd5ce9f0802fcb2 | [
"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 | 8,134 | 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... |
838ec553105e574b35447527245c1a1f47810b7b | 3994e03e14a3cbe3858c1098d0ab9ed1113d6666 | /06-formalizacija-dokazov/dokazi.lean | dd5ecd9a8f31d94c9ffccffc8f815ee88b222dab | [] | no_license | tadejpetric/tpj-coq | 15f2548ba8f012d9a5b5e0bfb78ab0860d048e96 | dda9fb2e635f9a1302739e34d8692a4252066b76 | refs/heads/master | 1,629,182,614,649 | 1,600,449,570,000 | 1,600,449,570,000 | 222,798,649 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,342 | lean | inductive naravno : Type
| nic : naravno
| nasl : naravno -> naravno
inductive seznam_naravnih_stevil : Type
| prazen : seznam_naravnih_stevil
| sestavljen : naravno -> seznam_naravnih_stevil -> seznam_naravnih_stevil
inductive seznam_dolzine : naravno -> Type
| prazen : seznam_dolzine naravno.nic
| sestavljen : ∀ n,... |
b59d7c19b5d9987b388afbe851e84e9b40f85882 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/polynomial/degree/trailing_degree.lean | 3708c028eb98355f21465f673b05018b5b009e4b | [
"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 | 13,180 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.degree.definitions
/-!
# Trailing degree of univariate polynomials
## Main definitions
* `trailing_degree p`: the multiplicity of `X` in the p... |
bae5e1f3a8cdcc3d39e306d1e39145e980775c3f | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/complex/exponential.lean | b03711502d10f67f9850b79b91bd6ede1d4e86ed | [
"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 | 63,332 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir
-/
import algebra.geom_sum
import data.complex.basic
import data.nat.choose.sum
/-!
# Exponential, trigonometric and hyperbolic trigonometric func... |
43eb1b81624a96511ae428dcabadbba258ba16f3 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/lift2.lean | 508242ab3f51803c988882ab997df5cea5527c9e | [
"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 | 267 | lean | import logic
inductive lift.{l₁ l₂} (A : Type.{l₁}) : Type.{(max 1 l₁ l₂)} :=
inj : A → lift A
set_option pp.universes true
variables (A : Type.{3}) (B : Type.{1})
check A = lift B
universe u
variables (C : Type.{u+2}) (D : Type.{u})
check C = lift D
|
ace42ad1d934dee915310b7f25347c9353429231 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finmap.lean | 7b064236817dcafd32f9e9f1ca610e7495b08e1d | [
"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 | 19,047 | lean | /-
Copyright (c) 2018 Sean Leather. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sean Leather, Mario Carneiro
-/
import data.list.alist
import data.finset.basic
import data.part
/-!
# Finite maps over `multiset`
-/
universes u v w
open list
variables {α : Type u} {β... |
c350d5d552d8f4b6996691861cbfb9e85be11b20 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/triangulated/pretriangulated.lean | ef43bdbc4177f8e505adf9bdb77bb5e7160aaec0 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,532 | lean | /-
Copyright (c) 2021 Luke Kershaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Kershaw
-/
import category_theory.preadditive.additive_functor
import category_theory.shift
import category_theory.triangulated.rotate
/-!
# Pretriangulated Categories
This file c... |
289deed1733c36144aed2046d5672821b15c12eb | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/functor/const.lean | e1b08fce78845c97cb3e7a653d359e9947ab7e95 | [
"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 | 2,932 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.opposites
/-!
# The constant functor
`const J : C ⥤ (J ⥤ C)` is the functor that sends an object `X : C` to the functor `J ⥤ C`... |
65f2320c8635fc82a226087f4a5dac52732ef644 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/lattice.lean | a620fca369967f4fe66068653bfff4ec0619b4cf | [
"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 | 74,850 | 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, Johannes Hölzl, Mario Carneiro
-/
import order.complete_boolean_algebra
import order.directed
import order.galois_connection
/-!
# The set lattice
Th... |
7e6b0aef1b63028925cbc0687a0ee6591a4497e4 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/category_theory/natural_transformation.lean | 7f773f771703ca1eb069d89fdd991a6932ab06b0 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 2,320 | 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, Floris van Doorn
Defines natural transformations between functors.
Introduces notations
`τ.app X` for the components of natural transfo... |
447612ad2e5c9d1cd6e3c715c8e634f8d2990522 | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/sheaves/stalk.lean | 9973d7b31e68d81a13616435cf1a5056349b8929 | [
"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 | 2,521 | lean | /-
Stalk (of types).
https://stacks.math.columbia.edu/tag/0078
Author: Ramon Fernandez Mir
-/
import for_mathlib.sheaves.opens
import topology.basic
import for_mathlib.sheaves.presheaf
universe u
section stalk
variables {α : Type u} [topological_space α]
variables (F : presheaf α) (x : α)
open topolo... |
b9eb40ee8cc03af063c01d43614d4904ad28e97b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/meta/uchange.lean | b0a98ea330b5d4b321e83b1b3d81f6375c34515e | [] | 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 | 819 | lean | /-
Copyright (c) 2020 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.PostPort
namespace Mathlib
/-!
# Changing universes of types in meta-code
This file define... |
096ed563c3a3d88f7a5a735aaea376e29e3f6bfc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/free_monoid/count.lean | ac642cb2e04ba92c0c5658600329931e3f7d9bd2 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,713 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.free_monoid.basic
import data.list.count
/-!
# `list.count` as a bundled homomorphism
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to t... |
ef0ca6bc6cc6ea4490c3e4b0dc311500e8452d40 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/data/finsupp.lean | ea8bf0935a5f9e9c4081ad9eed5b96726f7ae196 | [
"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 | 71,941 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Scott Morrison
-/
import algebra.big_operators.order
import algebra.module
import data.fintype.card
import data.set.finite
import data.multiset.antidiagonal
/-!
# Typ... |
08cabe737bd636ec0af081bfceb52d38e0a932a4 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/types/sigma.hlean | a5f52a8fcc8bb8e87d155d8967ac3fc5ed1746c9 | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 23,523 | hlean | /-
Copyright (c) 2014-15 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Partially ported from Coq HoTT
Theorems about sigma-types (dependent sums)
-/
import types.prod
open eq sigma sigma.ops equiv is_equiv function is_trunc sum uni... |
687e9b0ac43b5db7d7d4d2d18b402dd548b80e3e | 91b8df3b248df89472cc0b753fbe2bac750aefea | /experiments/lean/src/ddl/binary/basic.lean | 3e8e115d228f2f6d1c3a0680ca575b3cdf1857b4 | [
"Apache-2.0",
"LicenseRef-scancode-unknown-license-reference"
] | permissive | yeslogic/fathom | eabe5c4112d3b4d5ec9096a57bb502254ddbdf15 | 3960a9466150d392c2cb103c5cb5fcffa0200814 | refs/heads/main | 1,685,349,769,736 | 1,675,998,621,000 | 1,675,998,621,000 | 28,993,871 | 214 | 11 | Apache-2.0 | 1,694,044,276,000 | 1,420,764,938,000 | Rust | UTF-8 | Lean | false | false | 1,259 | lean | import ddl.host.basic
namespace ddl.binary
open ddl
/- Kinds of types in the binary language -/
inductive kind : Type
| type : kind
| arrow : kind → kind → kind
notation k₁ ` ⇒ ` k₂ := kind.arrow k₁ k₂
/- The type system of the binary language -/
inductive type (ℓ α : Type) : Type
| bvar ... |
eb95a31295320a0fe7e19e643b081da087442148 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/calculus/tangent_cone.lean | cafc1429b821926d33bdfb687a0bec8ed9340358 | [
"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 | 18,719 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.convex.basic
import analysis.specific_limits
/-!
# Tangent cone
In this file, we define two predicates `unique_diff_within_at 𝕜 s x` and `uni... |
f2aede04578d7cfa1d28d7704d6e06d137ca2159 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/bench/rbmap4.lean | 3c9f038d39f695be017b31e617e2dcb6a3cb9d62 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,844 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.coe init.data.option.basic init.system.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {} ... |
ec0c5453d34f1c90081c9e7a445861def4a1f2f3 | 0dbd5f7001f62ee8d54ed48bada66bfeaf55e550 | /src/fermat.lean | 9d84933c6ed6d6591caba20fae1535b091855b99 | [] | no_license | rwbarton/lean-elementary-number-theory | 667203b08501792eef48217759539f6c1e2da25a | fabef0737fd2486e3f24f9e04652db4c182d5425 | refs/heads/master | 1,670,605,651,029 | 1,599,565,470,000 | 1,599,565,470,000 | 293,792,043 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,904 | lean | import data.nat.gcd
import data.nat.prime
import pyth
open nat
local attribute [simp] mul_comm mul_left_comm mul_assoc
section fermat
parameters x y z : ℕ
parameter fmt : x^4 = y^4 + z^2
parameter pos : x > 0 ∧ y > 0 ∧ z > 0
include fmt pos
lemma x_pos : x > 0 := pos.1
lemma y_pos : y > 0 := pos.2.1
... |
73571132f5c6bfb9377acab75c31681c22207db7 | c8b4b578b2fe61d500fbca7480e506f6603ea698 | /src/number_theory/regular_primes.lean | bce3fcd4b334581c002258c0d03f76e4e35aefb9 | [] | no_license | leanprover-community/flt-regular | aa7e564f2679dfd2e86015a5a9674a6e1197f7cc | 67fb3e176584bbc03616c221a7be6fa28c5ccd32 | refs/heads/master | 1,692,188,905,751 | 1,691,766,312,000 | 1,691,766,312,000 | 421,021,216 | 19 | 4 | null | 1,694,532,115,000 | 1,635,166,136,000 | Lean | UTF-8 | Lean | false | false | 4,087 | lean |
import field_theory.splitting_field.construction
import number_theory.bernoulli
import number_theory.class_number.finite
import number_theory.class_number.admissible_abs
import number_theory.cyclotomic.cycl_rat
import number_theory.cyclotomic.rat
/-!
# Regular primes
## Main definitions
* `is_regular_number`: a na... |
773921b561e9690286be02718b0522897b76a8ec | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /analysis/probability_mass_function.lean | fcae29a11a1ce92739c895a2335910776c7a2012 | [
"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 | 4,771 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Probability mass function -- discrete probability measures
-/
import analysis.nnreal analysis.ennreal analysis.topology.infinite_sum
noncomputable theory
variables {α : ... |
c02ea1e8068621d4f97a4a5357a930a593a0d596 | 6db8061629f55e774dd3d03be5bf005ffb485e48 | /BetterNumLits.lean | 85e3caaa0c1ed571bfee38fe520a5453fdedc5e2 | [] | no_license | tydeu/lean4-betterNumLits | 21fd5717d1b62ecb021c73e8cfaa0e3d19005690 | 45e3b79214b3e1f81f8e034dd12257e993ddc578 | refs/heads/master | 1,683,103,070,685 | 1,621,717,131,000 | 1,621,717,131,000 | 369,368,844 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 200 | lean | import BetterNumLits.Numerals
import BetterNumLits.Notation
import BetterNumLits.Nat
import BetterNumLits.OfRadix
import BetterNumLits.Fin
import BetterNumLits.Macro
import BetterNumLits.Unexpanders
|
16c5a311cbc7083427b8e7a7790d3f2285142197 | 8e31b9e0d8cec76b5aa1e60a240bbd557d01047c | /scratch/partition.lean | 90a1ad65f90c60b771ecf2c3c0c184c50dfe3c80 | [] | no_license | ChrisHughes24/LP | 7bdd62cb648461c67246457f3ddcb9518226dd49 | e3ed64c2d1f642696104584e74ae7226d8e916de | refs/heads/master | 1,685,642,642,858 | 1,578,070,602,000 | 1,578,070,602,000 | 195,268,102 | 4 | 3 | null | 1,569,229,518,000 | 1,562,255,287,000 | Lean | UTF-8 | Lean | false | false | 17,223 | lean | import data.matrix.pequiv data.rat.basic
variables {m n : ℕ}
/-- The type of ordered partitions of `m + n` elements into a
`m` row variables and `n` column variables -/
structure partition (m n : ℕ) : Type :=
( rowp : fin m ≃. fin (m + n) )
( colp : fin n ≃. fin (m + n) )
( rowp_trans_rowp_symm : rowp.trans rowp.s... |
d74b7790ce1605c65b595f3c93daf8ce6fa93cad | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /data/analysis/filter.lean | 5e25a630030d4d48f79c2e9a7c511701cdb81f33 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 11,827 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Computational realization of filters (experimental).
-/
import order.filter
open set filter
/-- A `cfilter α σ` is a realization of a filter (base) on `α`,
represent... |
e8d47da52be0add6246b0ddb6d02989e67e3d591 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/analytic/composition.lean | 76e2ec5396fec69121b8e29b3bd455ecce18fd86 | [
"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 | 58,762 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johan Commelin
-/
import analysis.analytic.basic
import combinatorics.composition
/-!
# Composition of analytic functions
in this file we prove that the composi... |
a9d6f5396b9290c2bc24987fa890f6a9bc10486c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/simp_command.lean | 83d2a5d2c877fdd4bebb99d150821b63cb89e94f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,524 | lean | import tactic.simp_command
import analysis.special_functions.trigonometric.deriv
import analysis.calculus.deriv.inv
/- Turn off trace messages only if the statements are simplified to true: -/
set_option trace.silence_simp_if_true true
/-!
Tests for the #simp command.
-/
#simp 5 - 5 = 0
section arith
def f (x : ℤ)... |
264aef4bbfa0c9649fd51512ced4e497ed7105bf | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed_space/linear_isometry.lean | 38d372c854af04129181d2b4a7bc52db91e26d95 | [
"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 | 26,442 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Frédéric Dupuis, Heather Macbeth
-/
import analysis.normed.group.basic
import topology.algebra.module.basic
import linear_algebra.basis
/-!
# (Semi-)linear isometrie... |
20eddce6459ebf297f4b079ef8fa45d43dbb857f | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Elab/Tactic/Injection.lean | e20e946b4d7e7dc90feee7eab0986ec64c864848 | [
"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 | 1,192 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Injection
import Lean.Elab.Tactic.ElabTerm
namespace Lean.Elab.Tactic
-- optional (" with " >> many1 ident')
private def getInjecti... |
cd92505547e8d64f02fe63265d2ec937a2d75fe8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/invertible.lean | bd7b06b1d4c5e35100bc72b4d5ca37eabd8b5bd3 | [
"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 | 9,967 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.group.units
import algebra.ring.basic
/-!
# Invertible elements
This file defines a typeclass `invertible a` for elements `a` with a two-sided
multiplicat... |
630723340b1b004ec7f2feb1fd03c01e4049715d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/server/init_exit.lean | b421a2f68a429836f2d4ab9c9b651476db6bdcf9 | [
"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 | 634 | lean | import Lean.Data.Lsp
open IO Lean Lsp
def main : IO Unit := do
Ipc.runWith (←IO.appPath) #["--server"] do
let hIn ← Ipc.stdin
hIn.write (←FS.readBinFile "init_vscode_1_47_2.log")
hIn.flush
let initResp ← Ipc.readResponseAs 0 InitializeResult
let regWatchReq ← Ipc.readRequestAs "client/registerCap... |
b9624e9a4041966551aa3be73fdf869cc6ee251f | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/interactive/t11.lean | f856783730001cce6a4d469df5f593f733cf6b47 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 340 | lean | (*
auto = Repeat(OrElse(conj_hyp_tac(), conj_tac(), assumption_tac()))
*)
theorem T2 (A B : Bool) : A /\ B -> B /\ A :=
fun assumption : A /\ B,
let lemma1 : A := _,
lemma2 : B := _,
conclusion : B /\ A := _
in conclusion.
auto. done.
auto. d... |
005e6afd5574ff5bd2f6bb45af05c21c57ebff26 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/algebra/ordered_ring.hlean | 55605590db29c684c94922b5a03a9c6bc85d8cc8 | [
"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 | 27,629 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Here an "ordered_ring" is partially ordered ring, which is ordered with respect to both a weak
order and an associated strict order. Our numeric structures (int, rat, and... |
91cce4cf22b1bb45965329928a71ae14975b04f8 | 4a894698f2ae3f991490c25af3c13ea4435dac48 | /src/instructor/lectures/lecture_1a.lean | e87d1c267b24f0306de567b06f5973658e349c84 | [] | no_license | gnujey/cs2120f21 | 8a33f636346d59ade049dcc1726634f434ac1955 | 138d43446c443c1d15cd2f17fb607c4f0dff702f | refs/heads/main | 1,690,598,880,775 | 1,631,132,566,000 | 1,631,132,566,000 | 405,182,739 | 1 | 0 | null | 1,631,299,824,000 | 1,631,299,823,000 | null | UTF-8 | Lean | false | false | 10,048 | lean | -- import definitions of real and rational numbers from mathlib
import data.real.basic
namespace cs2120
/-
The first part of this lesson is in the file, lecture_1.md.
Please start there then return here when you're done with
that document.
-/
/-
NUMBER SYSTEMS
-/
/-
Mathematicians think about operations on many ki... |
a7dc60f969713666b5c409e22e4e65ce4a7a58fb | 952248371e69ccae722eb20bfe6815d8641554a8 | /src/datatypes/default.lean | e7b2b28112f718e72237927e0edf5afb62520a7a | [] | no_license | robertylewis/lean_polya | 5fd079031bf7114449d58d68ccd8c3bed9bcbc97 | 1da14d60a55ad6cd8af8017b1b64990fccb66ab7 | refs/heads/master | 1,647,212,226,179 | 1,558,108,354,000 | 1,558,108,354,000 | 89,933,264 | 1 | 2 | null | 1,560,964,118,000 | 1,493,650,551,000 | Lean | UTF-8 | Lean | false | false | 109 | lean | import
datatypes.basic
datatypes.comp
datatypes.expr_form
datatypes.proof
datatypes.info
|
c7d14e6ee2d0f27f756c74704f8db3a0a3cddbd3 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/category_theory/limits/kan_extension.lean | fc36fe2b1fede49b50fa44e9a6efdc964e28ec05 | [
"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 | 8,213 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Adam Topaz
-/
import category_theory.punit
import category_theory.structured_arrow
import category_theory.limits.functor_category
import category_theory.limits.shapes.termina... |
476fb2bfd94d0bd8396ef3a0f14098e101477322 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Meta/Closure.lean | cbc8622f8fa600ef0364001f4c04e4abad3849e9 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 14,444 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Std.ShareCommon
import Lean.MetavarContext
import Lean.Environment
import Lean.Util.FoldConsts
import Lean.Meta.Basic
import Lean.Meta.Check
/-
Thi... |
3139abed4b81e5b4bdac1b8d28e0af7d6b15aa82 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/topology/constructions.lean | 5f7642a8b4465b3686d6e8d53a98d7dea8a61b6f | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 46,532 | 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, Patrick Massot
Constructions of new topological spaces from old ones: product, sum, subtype, quotient, list, vector
-/
import topology.maps topology.su... |
ef43c1b94e3cbe5cf1b414c4a5fe9d0605e1d608 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/error_loc_bug.lean | ea773443824bb7b362094bf8da770684a056caab | [
"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 | 3,220 | 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
Define propositional calculus, valuation, provability, validity, prove soundness.
This file is based on Floris van Doorn Coq files.
Similar to soundness.lea... |
3fef72216e917e8de6a0a5ee881ca3a35227d6e6 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/metric_space/pi_Lp.lean | bb01f549d8ec78a0b7b49137935be00797869c9c | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 12,024 | 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 analysis.mean_inequalities
/-!
# `L^p` distance on finite products of metric spaces
Given finitely many metric spaces, one can put the max distance on t... |
b9415d588c82f04759b2cb5901f337bdc5b223fa | af6139dd14451ab8f69cf181cf3a20f22bd699be | /library/init/meta/relation_tactics.lean | 8d9badbcd2d4cfd0119e88787959052bd6dde822 | [
"Apache-2.0"
] | permissive | gitter-badger/lean-1 | 1cca01252d3113faa45681b6a00e1b5e3a0f6203 | 5c7ade4ee4f1cdf5028eabc5db949479d6737c85 | refs/heads/master | 1,611,425,383,521 | 1,487,871,140,000 | 1,487,871,140,000 | 82,995,612 | 0 | 0 | null | 1,487,905,618,000 | 1,487,905,618,000 | null | UTF-8 | Lean | false | false | 1,536 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.function
namespace tactic
open expr
private meta def relation_tactic (md : transparency) (op_for : environment → name... |
4bc42eb5bfe4584ab18915c66eb56020030ba218 | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/predicate_logic/impl.lean | d58975e18d4f60995d0590852084c9021d284aa9 | [] | 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 | 1,601 | lean | /-
If P and Q are propositions, then P → Q
is a proposition, as well. We just such
an implication to be true if whenever P
is true Q must be true as well. To prove
P → Q, we thus *assume* that P is true
(and in constructive logic this means we
assume we have a proof of it, p : P), and
in the context of this assumption,... |
a93995df3332484782b1fb905a8b22ad3c62701a | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/System/FilePath.lean | fab5c64d5cc1e04496a6441a3bbae66b007230f1 | [
"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 | 1,629 | 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.System.Platform
import Init.Data.String.Basic
namespace System
namespace FilePath
open Platform
/-- The character that separates direc... |
196d43388c8b0e9db16da8e4cfc6febe6ca61e34 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/order/bounded_lattice.lean | 187f7f3fdf7abeb1b854cb684df535bc991efe82 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 40,791 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice
import data.option.basic
import tactic.pi_instances
set_opt... |
f2209f07c1392dbbf903673a3108790329964f32 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/ring_theory/adjoin.lean | f97fed336367d0cffff5240ecb2a310dd4c52b08 | [
"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 | 7,994 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Adjoining elements to form subalgebras.
-/
import ring_theory.polynomial
import ring_theory.principal_ideal_domain
universes u v w
open submodule ring
namespace algebra
varia... |
c8b687546b361745e6a8d6d96672000ab68393ac | 618003631150032a5676f229d13a079ac875ff77 | /src/group_theory/congruence.lean | 8208fdf580aefbd65215821ca2d315ffce06e9bf | [
"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 | 42,233 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import data.setoid.basic
import algebra.pi_instances
/-!
# Congruence relations
This file defines congruence relations: equivalence relations that preserve a ... |
b827bece41cdd744feb3c9e2fdf7b1ba6b736dcb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/adjunction/fully_faithful.lean | 0bba89b066cb20259512e4fdce53627f3a61520c | [
"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 | 6,577 | 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.adjunction.basic
import category_theory.conj
import category_theory.yoneda
/-!
# Adjoints of fully faithful functors
A left adjoint is fully ... |
1f6f0dbfc279d4e6e4e2790a49397829686d6fe9 | 3f48345ac9bbaa421714efc9872a0409379bb4ae | /src/set_category/colimits/Pushout.lean | 45412d740cb16e1d499ba199c3a3d742b2edc25d | [] | no_license | QaisHamarneh/Coalgebra-in-Lean | b4318ee6d83780e5c734eb78fed98b1fe8016f7e | bd0452df98bc64b608e5dfd7babc42c301bb6a46 | refs/heads/master | 1,663,371,200,241 | 1,661,004,695,000 | 1,661,004,695,000 | 209,798,828 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,033 | lean | import category_theory.types
import help_functions
import set_category.colimits.Sum
import set_category.colimits.Coequalizer
import tactic.tidy
universes u v
namespace Pushout
open category_theory
set
classical
help_functions
sum
Sum
Coequalizer
local notation f ` ⊚ `:80 g:80 := cat... |
728074ea11b41ee407046e964ef78bb154738b20 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/tactic11.lean | 86c612f5f6cf3080de28848358cda22b3e480350 | [
"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 | 287 | lean | import logic
theorem tst (a b : Prop) (H : a ↔ b) : b ↔ a
:= have H1 [fact] : a → b, -- We need to mark H1 as fact, otherwise it is not visible by tactics
from iff_elim_left H,
by apply iff_intro;
apply (assume Hb, iff_elim_right H Hb);
apply (assume Ha, H1 Ha)
|
c164d59cc354eb1b2efcdfc095e9ddee9e1db126 | b561a44b48979a98df50ade0789a21c79ee31288 | /stage0/src/Lean/MetavarContext.lean | 3860b2970af597d84b1c7c8a7c2c198450f9bc80 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 54,428 | 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.MonadCache
import Lean.LocalContext
namespace Lean
/-
The metavariable context stores metavariable declarations and their
assignments. It... |
60713aa2ec596e80a58c620cd2ede51dc6c6b78b | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /test/out/script/verify.lean | 020b88935b1c4240cdb5f3da3acd5a3ba202b298 | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 324 | lean | import Papyrus
open Papyrus Script
llvm module foo do
define i32 @main() do
ret i32 0
#verify foo
#verify foo >>= (·.getFunction "main")
llvm module bug do
define i32 @main() do
ret i8 0
#verify bug -- Error: Function return type does not match operand
#verify bug >>= (·.getFunction "main") -- Same Erro... |
568809c13e1ed6cf55de6490d2ecf8b733ffa199 | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/data/int/basic.lean | 1c10c3bce91df571dd6c7885548cdf736ab80afc | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 23,613 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
The integers, with addition, multiplication, and subtraction. The representation of the integers is
chosen to compute efficiently.
To faciliate prov... |
01a72a1d5950b15b5d3ae9c70e89da964d30a7c7 | b32d3853770e6eaf06817a1b8c52064baaed0ef1 | /src/super/prover_state.lean | 0e330155b56090689ac5a59b0cd66123b58c3177 | [] | no_license | gebner/super2 | 4d58b7477b6f7d945d5d866502982466db33ab0b | 9bc5256c31750021ab97d6b59b7387773e54b384 | refs/heads/master | 1,635,021,682,021 | 1,634,886,326,000 | 1,634,886,326,000 | 225,600,688 | 4 | 2 | null | 1,598,209,306,000 | 1,575,371,550,000 | Lean | UTF-8 | Lean | false | false | 7,482 | lean | import super.clause super.lpo
namespace super
open tactic native
@[reducible]
def clause_id := ℕ
@[derive decidable_eq]
meta structure derived_clause :=
(id : clause_id)
(cls : clause)
(selected : list ℕ)
namespace derived_clause
meta instance : has_to_tactic_format derived_clause :=
⟨λ c, do c_fmt ← pp c.cls,
p... |
aab2aa7bc44e96a8a7b32901f60eb29ec717d273 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/limits/shapes/constructions/binary_products.lean | dddbf1dbdb628d0350a89f191ab91c90e00e35d1 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 1,630 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.binary_products
universes v u
/-!
# Constructing binary product from pullbacks and t... |
b21f687acdcb8083b5980f4b9e245bcb5ea78755 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/linear/functor_category.lean | 594349a2a5381cfb2b429048be8d93b8b4c11bde | [
"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 | 1,779 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.preadditive.functor_category
import category_theory.linear.basic
/-!
# Linear structure on functor categories
> THIS FILE IS SYNCHRONIZED WIT... |
d9598ad953e7f54db185e097a5e0c010b2ea3685 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/constructor1.lean | a76ddbcb13dae1cabde34ab9fd051733ad75b6fe | [
"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 | 669 | lean | open tactic
example (p q : Prop) : p → q → p ∧ q :=
by do intros, constructor, assumption, assumption
example (p q : Prop) : p → q → p ∧ q :=
by do intros, split, assumption, assumption
example (p q : Prop) : p → p ∨ q :=
by do intros, left, assumption
example (p q : Prop) : q → p ∨ q :=
by do intros, right, assump... |
3880386d37e197ee59e082cf7cf432332364dc53 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/topology/subset_properties.lean | e6b139d16b8f16cd9cc77dbbd269425f32cf49a3 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 31,157 | 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
Properties of subsets of topological spaces: compact, clopen, irreducible,
connected, totally disconnected, totally separated.
-/
import topology.const... |
83a2f0b257976c63ad78ece519fd5bd42e823e25 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/multiset/sections.lean | 6f873a4ca2f404582c04cdcfd80c7d3814d61a3f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,340 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.multiset.bind
/-!
# Sections of a multiset
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.... |
66b64875fce8e604557dfcea21579ba8f8638992 | 5acd49ee775f675999521ca7f8c05b3a6ac4dde5 | /tutorial world/l1_refl.lean | 64a5ace80feba1987c025a69086d271f08cb6330 | [] | no_license | mothematician/lean-tutorial-imperial | 0284556885a69ab0aa2cb1a5699276eb5fc04b1e | 1e68a6341616450c7f5d3e2b35a56fc95bdfced4 | refs/heads/main | 1,691,400,920,101 | 1,633,792,591,000 | 1,633,792,591,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 166 | lean | namespace Nat
theorem example1 (x y z : Nat) : x * y + z = x * y + z :=
rfl
theorem example2 (x y : Nat) (h : y = x + 7) : 2 * y = 2 * (x + 7) :=
rw
end Nat
|
21c175468b88c94c5cf4c07ed739ddf4e57f36cb | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_669.lean | dbfa6ead8352f435b7c439789ee28e38d12e45d5 | [] | 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 | 653 | lean | import data.real.basic
def fn_ub (f : ℝ → ℝ) (a : ℝ) : Prop := ∀ x, f x ≤ a
def fn_lb (f : ℝ → ℝ) (a : ℝ) : Prop := ∀ x, a ≤ f x
def fn_has_ub (f : ℝ → ℝ) := ∃ a, fn_ub f a
def fn_has_lb (f : ℝ → ℝ) := ∃ a, fn_lb f a
theorem fn_ub_add {f g : ℝ → ℝ} {a b : ℝ}
(hfa : fn_ub f a) (hgb : fn_ub g b) :
fn_ub (λ x, f ... |
1c909f30a20488dd407c8c069952c852e02c6f3f | 92b50235facfbc08dfe7f334827d47281471333b | /library/data/stream.lean | 40d07827eec3138e9d65db5705bae872d0250a80 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 22,505 | 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
-/
import data.nat data.list data.equiv
open nat function option
definition stream (A : Type) := nat → A
namespace stream
variables {A B C : Type}
definition... |
79299e7d3e028a2e298883bf14fb894f3984db32 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/sheaves/presheaf_of_functions_auto.lean | 3f08e5dda4da1608ad8ea53eaa6006f812b3063a | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,932 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.yoneda
import Mathlib.topology.sheaves.presheaf
import Mathlib.topology.cat... |
ad6b426b682f4ab1058afa9ae07b57aa24261b60 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/init/meta/tactic.lean | 6e4bfd9fc62a87fe3913f4ffd6b3072e3efe4455 | [
"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 | 39,949 | 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.function init.data.option.basic init.util
import init.category.combinators init.category.monad init.category.alternative init.category.m... |
de8ad20d7340f6a9fb7f3e04d06ad5427edc349e | e94d3f31e48d06d252ee7307fe71efe1d500f274 | /library/init/tactic.lean | 83047789ea432b82cb18ec00c7f83773a071ee14 | [
"Apache-2.0"
] | permissive | GallagherCommaJack/lean | e4471240a069d82f97cb361d2bf1a029de3f4256 | 226f8bafeb9baaa5a2ac58000c83d6beb29991e2 | refs/heads/master | 1,610,725,100,482 | 1,459,194,829,000 | 1,459,195,377,000 | 55,377,224 | 0 | 0 | null | 1,459,731,701,000 | 1,459,731,700,000 | null | UTF-8 | Lean | false | false | 7,925 | 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
This is just a trick to embed the 'tactic language' as a Lean
expression. We should view 'tactic' as automation that when execute
produces a term. tactic.buil... |
a6f6dcb8ee6417b8c221af2265cbe394efa1ab16 | dd4e652c749fea9ac77e404005cb3470e5f75469 | /src/nat.lean | a9bad663cc33fa06ee6c5835a0e58bfe696c658c | [] | 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 | 315 | lean | import data.nat.basic
namespace nat
lemma max_succ_succ {m n} :
max (succ m) (succ n) = succ (max m n) :=
begin
by_cases h1 : m ≤ n,
rw [max_eq_right h1, max_eq_right (succ_le_succ h1)],
{ rw not_le at h1, have h2 := le_of_lt h1,
rw [max_eq_left h2, max_eq_left (succ_le_succ h2)] }
end
end nat |
60f281327dfc09f424ff87e10a304540f043ac73 | ec62863c729b7eedee77b86d974f2c529fa79d25 | /2/b.lean | 0ea69260c65875e134011ad2199435b792af2c9e | [] | no_license | rwbarton/advent-of-lean-4 | 2ac9b17ba708f66051e3d8cd694b0249bc433b65 | 417c7e2718253ba7148c0279fcb251b6fc291477 | refs/heads/main | 1,675,917,092,057 | 1,609,864,581,000 | 1,609,864,581,000 | 317,700,289 | 24 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 735 | lean | structure Passwd where
min : Int
max : Int
letter : Char
str : String
instance : Inhabited Passwd := ⟨⟨0,0,'a',"a"⟩⟩
instance : ToString Passwd :=
⟨λ p => s!"{p.min}-{p.max} {p.letter}: {p.str}"⟩
def parseLine (s : String) : Passwd :=
match s.splitOn with
| [a,b,c] => match a.splitOn "-" with
| [x,y] => ⟨x... |
d6f00de103c1056aa46573a4bd45fecd009dc37d | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/polynomial/degree/lemmas.lean | 4b0da0c9f8afd259aa28c90e75d2008ff8653dcf | [
"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 | 9,586 | 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.eval
import tactic.interval_cases
/-!
# Theory of degrees of polynomials
Some of the main results... |
aed2e93a5fc030ee637814e4f0fb2b5c351f71e7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/number_theory/divisors.lean | 3a8ba38bb04944482ab89dda245153b78c2f68c9 | [] | 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 | 8,136 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.big_operators.order
import Mathlib.tactic.default
import Mathlib.data.nat.prime
imp... |
9d1881d5ac18cc6cce3fe5ac4d4a326d0f5b2daa | 94e33a31faa76775069b071adea97e86e218a8ee | /src/dynamics/omega_limit.lean | 96876df8dda8c9f692fba23e19ec16f287cd19a4 | [
"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 | 16,562 | lean | /-
Copyright (c) 2020 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo
-/
import dynamics.flow
/-!
# ω-limits
For a function `ϕ : τ → α → β` where `β` is a topological space, we
define the ω-limit under `ϕ` of a set `s` in `α` with respect to
filter `f... |
35a506d05c9902c14687a20a5153c8851ae1f0aa | 3d2a7f1582fe5bae4d0bdc2fe86e997521239a65 | /spatial-reasoning/spatial-reasoning-problem-06.lean | 27afe444904ae0fa256d5efa25435c0122208c30 | [] | no_license | own-pt/common-sense-lean | e4fa643ae010459de3d1bf673be7cbc7062563c9 | f672210aecb4172f5bae265e43e6867397e13b1c | refs/heads/master | 1,622,065,660,261 | 1,589,487,533,000 | 1,589,487,533,000 | 254,167,782 | 3 | 2 | null | 1,589,487,535,000 | 1,586,370,214,000 | Lean | UTF-8 | Lean | false | false | 1,777 | lean | /- Spatial Reasoning Problem 06 -/
/- It can be found at: SpatialQs.txt -/
-- (6) A bookcase is on the floor. A book is on the bookcase. Is the book higher than the floor?
universe V
constant U : Type
constants Right Left Book Furniture Floor On TransitivePositionalAttribute PositionalAttribute Above : U
constant... |
fa28347e79697ab6e7452bf66b458118788e7a80 | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /test/intro_at_least_one.lean | dfe7d8eb701e10916d60585ee26da2f532d42d43 | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 343 | lean | import tidy.intro_at_least_one
import tidy.force
example : ∀ x : ℕ, ∀ y : ℕ, true :=
begin
intro_at_least_one,
trivial,
end
example : true :=
begin
success_if_fail { intro_at_least_one },
trivial,
end
def f := ∀ x : ℕ, true
example : f :=
begin
success_if_fail { force `[intros] },
intro_at_least_one,
t... |
8259d3a98d3686d9d5187d6a0ac6a6227613b0a4 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/algebra/tower.lean | e57cbb3a5fed9d50dee5e2bda6234baa79e8bd63 | [
"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 | 11,854 | 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.algebra.subalgebra
/-!
# Towers of algebras
In this file we prove basic facts about towers of algebra.
An algebra tower A/S/R is expressed by having instance... |
2d20f93e72c020f2caa21ac5ca9492ec839d3ed6 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/equiv/transfer_instance.lean | 18f6b5e8a4d1d2f66c74c99270dae3162161d7e3 | [
"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 | 13,520 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.equiv.basic
import algebra.field
import algebra.module
import algebra.algebra.basic
import algebra.group.type_tags
import ring_theory.ideal.basic
/-!
# T... |
1d713ba4425af9ea4e7125b03b361f3101f3a463 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/logic/embedding.lean | 604cfac8383c2e255305e749d62d46abf1157fed | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,305 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.equiv.basic
import data.set.basic
import data.sigma.basic
/-!
# Injective functions
-/
universes u v w x
namespace function
/-- `α ↪ β... |
20174a3b2ff8e2fe7504da22305381ad58663bbe | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/category/Top/opens.lean | 286dcaf1666fe4dcee5cf12e2ef3bc37d603461f | [
"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 | 9,005 | 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 topology.category.Top.basic
import category_theory.eq_to_hom
import category_theory.category.preorder
/-!
# The category of open sets in a topological space.
... |
c4a4aca729ab6d47811fcc02ffd7c15a9c2b907d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/computability/tm_to_partrec.lean | 3ea2adca013c1b5f11d35239376745f3953b1dbf | [
"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 | 64,652 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import computability.halting
import computability.turing_machine
import data.num.lemmas
/-!
# Modelling partial recursive functions using Turing machines
This file ... |
58ecb1bf803a5c073da9c92dff463d56781fc133 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/ring_theory/adjoin_root.lean | f610dbee419e3f6641830a254477c38c852b7bbc | [
"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 | 9,905 | 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
Adjoining roots of polynomials
-/
import data.polynomial.field_division
import linear_algebra.finite_dimensional
import ring_theory.adjoin.basic
import ri... |
8123335b9708e2f3a5f7f73f15e538fa462588ca | 076f5040b63237c6dd928c6401329ed5adcb0e44 | /instructor-notes/2019.09.24.lean | 216215b5e4b62f8c0f390fe3035df59d029cc1cb | [] | no_license | kevinsullivan/uva-cs-dm-f19 | 0f123689cf6cb078f263950b18382a7086bf30be | 09a950752884bd7ade4be33e9e89a2c4b1927167 | refs/heads/master | 1,594,771,841,541 | 1,575,853,850,000 | 1,575,853,850,000 | 205,433,890 | 4 | 9 | null | 1,571,592,121,000 | 1,567,188,539,000 | Lean | UTF-8 | Lean | false | false | 8,451 | lean | namespace mlist
open list -- Lean-provided data type
/-
Lists in Lean are "polymorphic." They
can contain elements of any specified
type. Your homework is to implement lists of natural numbers in particular.
Soon you'll see how to make the type of
list elements into a parameter/argument.
To help with your homework... |
4dd8ab80bf8dc57d282da98b90ba38f45678ffa3 | 4e0d7c3132ce31edc5829849735dd25db406b144 | /lean/love07_metaprogramming_exercise_sheet.lean | 9a3c72e10ad11f0200719ee4e945bf08e0e79aba | [] | no_license | gonzalgu/logical_verification_2020 | a0013a6c22ea254e9f4d245f2948f0f4d44df4bb | 724d0457dff2c3ff10f9ab2170388f4c5e958b75 | refs/heads/master | 1,660,886,374,533 | 1,589,859,641,000 | 1,589,859,641,000 | 256,069,971 | 0 | 0 | null | 1,586,997,430,000 | 1,586,997,429,000 | null | UTF-8 | Lean | false | false | 9,132 | lean | import .love07_metaprogramming_demo
/-! # LoVe Exercise 7: Metaprogramming -/
set_option pp.beta true
namespace LoVe
/-! ## ## Question 1: A Term Exploder
In this exercise, we develop a string format for the `expr` metatype. By
default, there is no `has_repr` instance to print a nice string. For example: -/
#e... |
bbbb27e25958e9938316406b19280401e496b478 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/number_theory/cyclotomic/basic.lean | a01087be87cca6d117ff37d8913bce3b7ae873d1 | [
"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 | 27,275 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.polynomial.cyclotomic.basic
import number_theory.number_field
import algebra.char_p.algebra
import field_theory.galois
/-!
# Cyclotomic extensi... |
a2a9bff063c6f1a2c1d31f49361b157296c673df | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/free_product.lean | 9426a82491c5691d274f5f086dbebaa45bf45f28 | [
"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 | 33,924 | lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn, Joachim Breitner
-/
import algebra.free_monoid.basic
import group_theory.congruence
import group_theory.is_free_group
import data.list.chain
import set_theory.cardinal.ordinal
... |
649e1adf4bd128dc53fd9693435176d4e6eded10 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Util/CollectFVars.lean | ab0f438df64ea5f7aec6541dd49a0efb2fcf46bc | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,153 | 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.Expr
namespace Lean.CollectFVars
structure State where
visitedExpr : ExprSet := {}
fvarSet : NameSet := {}
deriving Inhabited
a... |
81c9e2bfb2806ac6dba9bfc7084ea735258e3fba | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/ring_theory/power_basis.lean | e12953217c41ec5e30271550479caea67553982b | [
"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 | 21,514 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.adjoin
import field_theory.minpoly
import ring_theory.adjoin
import ring_theory.adjoin_root
import ring_theory.algebraic
/-!
# Power basis
This file d... |
a5ecaf3be48bed26f5a470769afa3562f1e713f3 | 66a6486e19b71391cc438afee5f081a4257564ec | /cohomology/projective_space.hlean | 14b691f4be219577376d9b768010740be39c471f | [
"Apache-2.0"
] | permissive | spiceghello/Spectral | c8ccd1e32d4b6a9132ccee20fcba44b477cd0331 | 20023aa3de27c22ab9f9b4a177f5a1efdec2b19f | refs/heads/master | 1,611,263,374,078 | 1,523,349,717,000 | 1,523,349,717,000 | 92,312,239 | 0 | 0 | null | 1,495,642,470,000 | 1,495,642,470,000 | null | UTF-8 | Lean | false | false | 5,571 | hlean | /- A computation of the cohomology groups of K(ℤ,2) using the Serre spectral sequence
Author: Floris van Doorn-/
import .serre
open eq spectrum EM EM.ops int pointed cohomology left_module algebra group fiber is_equiv equiv
prod is_trunc function
namespace temp
definition uH0_circle : uH^0[circle] ≃g gℤ :=
... |
348afe4ce51e84a74cea5ff24d236fdf0c81602f | 10834b3de906c60d1989336d7506a00ee5e52c08 | /library/init/data/nat/lemmas.lean | 08b2bf4b885049c455fe870b8fd43ab356d26f59 | [
"Apache-2.0"
] | permissive | Jack-Pumpkinhead/lean | 16657b5ad7f5316f007842fa2426b7f91212eae8 | 81cabd7b5a8f789633639f5fba64b45d31e37259 | refs/heads/master | 1,621,358,983,310 | 1,585,070,616,000 | 1,585,070,616,000 | 251,335,905 | 0 | 0 | Apache-2.0 | 1,585,579,683,000 | 1,585,579,682,000 | null | UTF-8 | Lean | false | false | 49,640 | 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, Jeremy Avigad
-/
prelude
import init.data.nat.basic init.data.nat.div init.meta init.algebra.functions
universes u
namespace nat
attribute [pre_smt] nat_zero... |
b6686f37686ba389bb02e5a8f8b0ded73ee7f943 | 9995dfaf2c112e67489d4a6be1858e7b3c67ded6 | /proofs2.lean | 46ee28b194b4fd88ce46b16f8dbb5aebe332c9ea | [] | no_license | PJ41/proof-checking | dfe291be8e6a8872ec81e01c8326dc51ff06a17a | e7ce9c7905434f84e02e5707cec4f6a07749c4dd | refs/heads/master | 1,596,760,214,588 | 1,570,386,047,000 | 1,570,386,047,000 | 213,219,595 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,366 | lean |
def proper_subset :
∀ { α : Type },
set α → set α → Prop :=
λ α x y, forall (e : α),
(e ∈ x → e ∈ y) ∧ (∃ f, f ∈ y ∧ f ∉ x)
example :
∀ a b c : ℕ, a = b → b = c → a = c
:=
begin
intros a b c,
assume ab bc,
rewrite ab,
rw bc, -- shorthand
-- and rw does rfl for us
end
example :
∀ a b c : ℕ, a ... |
eb302eba6b55fa03d0de03b105046e6dd3b60121 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/continued_fractions/continuants_recurrence.lean | 0b18d9baff7514ce08afd6f2cb13feca0679ff08 | [
"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 | 3,650 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.translations
/-!
# Recurrence Lemmas for the `continuants` Function of Continued Fractions.
## Summary
Given a generalized co... |
2e3a3f4ab3f20645dee2672ad909d95b9abff5b9 | ac60dab17014edd769c9618cc1569ce8c960a6a5 | /src/hpp.lean | 67188460a9aaca094b280dde636184e48a46654c | [
"MIT"
] | permissive | frankSil/CAExtensions | 20e1f856b3ad775d5e8dc8877614dbcd58c77901 | f5c74fd9a806696c73497d9abd45b7315f45379f | refs/heads/master | 1,608,706,941,607 | 1,586,193,337,000 | 1,586,193,337,000 | 237,077,434 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,003 | lean | import cautomaton utils data.list.perm
open utils
namespace hpp
section hpp
inductive cellT | X | N | W | E | S
| NW | NE | NS | WS | WE | ES
| NWE | NWS | NES | WES | NWSE
inductive cardinal | CN | CW | CE | CS
open cellT cardinal
def cellT_str : cellT → string
| N := "↑"
|... |
a7673aa0d415c629010461c4cae23ced737d36c2 | 1a61aba1b67cddccce19532a9596efe44be4285f | /tests/lean/626b.hlean | 993e4c37bb20ea3a2f590e8f4db216386ed670cd | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 84 | hlean | import hit.circle
open circle
definition f (x : S¹) : bool := circle.rec_on x _ _
|
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