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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c4bdb3588999023ccd1d8999ecdff3a4c3d8f2c6 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/topology/instances/ennreal.lean | 1767ae115acedc8cc9c8f363705687a3691920c2 | [
"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 | 38,529 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical
open_locale topologi... |
ef0c51086f919a5e86e34c8434af55670052d83e | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/topology/basic.lean | a98595f551aca22f4e26582e6f6b26ecdd84ddb7 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 35,248 | 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
Theory of topological spaces.
Parts of the formalization is based on the books:
N. Bourbaki: General Topology
I. M. James: Topologies and Uniformit... |
b65e16cd208a6833d8e4926047f9197580c551df | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/list/defs.lean | db028ede3d9217a45952f1eb1c926346c3a37785 | [
"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 | 20,479 | 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
Extra definitions on lists.
-/
import data.option.defs
import logic.basic
import tactic.cache
n... |
38476b180482d0a4fd4498c55f9baf3b8973ec61 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/clear.lean | 9012556d265eeec051994b856eb4dba3416d9d09 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 4,326 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import tactic.core
/-!
# Better `clear` tactics
We define two variants of the standard `clear` tactic:
* `clear'` works like `clear` but the hypotheses that should... |
619a9e06f78ba4b0a8dd027bfb09cb0d523f25cf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/measure/haar/of_basis.lean | dd1d618b23b18eab5914e6d3b6f433b4775c8986 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,175 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.measure.haar.basic
import analysis.inner_product_space.pi_L2
/-!
# Additive Haar measure constructed from a basis
> THIS FILE IS SYNCHRO... |
11a3e2a54afa09ca690a7183ff6cbd158c77479b | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Std/Data/HashMap.lean | 7cf5b079a14ec510732f627dfaef16804d0fc7c6 | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,308 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Std.Data.AssocList
namespace Std
universe u v w
def HashMapBucket (α : Type u) (β : Type v) :=
{ b : Array (AssocList α β) // b.size > 0 }
def Has... |
4e53d23fac260a66895136f834c1ebc7555aa766 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/category_theory/limits/functor_category.lean | 3cd956a5da03962e7b1a8889d26a48df4ad6984e | [
"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 | 4,863 | 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.products.basic
import category_theory.limits.preserves
open category_theory category_theory.category
namespace category_theory.limits
univer... |
263c16b6cc2c871b7b95f6340ec28dabf057c9a9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/instuniv.lean | 7a63752a497c76e5fb44e9efed99d7054c2b3d85 | [
"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 | 459 | lean | import Lean
open Lean
unsafe def tst : IO Unit :=
withImportModules [{module := `Init.Data.Array}] {} 0 fun env =>
match env.find? `Array.foldl with
| some info => do
IO.println (info.instantiateTypeLevelParams [levelZero, levelZero])
IO.println (info.instantiateValueLevelParams! [levelZero, lev... |
e12e6431b9d8282b6bbb5e1b13d307d7aaa490d5 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/simp18.lean | ba2b925da10529aa241dcb43e2eb1a2c1d7fde83 | [
"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 | 901 | lean | variable vec : Nat → Type
variable concat {n m : Nat} (v : vec n) (w : vec m) : vec (n + m)
infixl 65 ; : concat
axiom concat_assoc {n1 n2 n3 : Nat} (v1 : vec n1) (v2 : vec n2) (v3 : vec n3) :
(v1 ; v2) ; v3 = cast (to_heq (congr2 vec (symm (Nat::add_assoc n1 n2 n3))))
... |
dd687b066a34b141ccd4d17fba9cdaec0b917061 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/uniform_space/basic.lean | 59e457abe80f12b778a72413379781427c640b19 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 41,945 | 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
Theory of uniform spaces.
Uniform spaces are a generalization of metric spaces and topological groups. Many concepts directly
generaliz... |
b5cea0e45b7c51a01e7205505f3945e4c7be0242 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/omega/eq_elim.lean | c9fd7bde7287358bbb4ceb790241bd6d6639e661 | [
"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 | 14,660 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Correctness lemmas for equality elimination.
See 5.5 of <http://www.decision-procedures.org/> for details. -/
import tactic.omega.clause
open list.func
namespace omega
def symd... |
5961e542d80abb3a2f039091585f48aa0a483e9b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/category/Cat.lean | b8ff7a982d526f42b0baa45b0ffd7949ba8b1752 | [
"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 | 3,913 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.concrete_category.bundled
import category_theory.discrete_category
import category_theory.types
import category_theory.bicategory.strict
/-!... |
80ee63c70b5d3e319c9457858ff8bda08a4ee5af | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/monoid_algebra/basic.lean | 5eac4ef411e8baac1215cea54569d374815c221c | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 64,654 | 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 G. Kudryashov, Scott Morrison
-/
import algebra.algebra.equiv
import algebra.big_operators.finsupp
import algebra.hom.non_unital_alg
import algebra.module.big_oper... |
4aa03005333cbc206ae34d15608ce716cb430060 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monoidal/category.lean | 7dcc5f6d38b04ea56d72ab4358a44961ff8abd1f | [
"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 | 22,113 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison, Bhavik Mehta, Jakob von Raumer
-/
import category_theory.products.basic
/-!
# Monoidal categories
A monoidal category is a category equipped wit... |
6c84102c591981655d86a9fb790ddd46a798a835 | 35960c5b117752aca7e3e7767c0b393e4dbd72a7 | /src/data/fresh.lean | b9920e86cc0682341e76a98f514a7ede7b915c5d | [
"Apache-2.0"
] | permissive | spl/tts | 461dc76b83df8db47e4660d0941dc97e6d4fd7d1 | b65298fea68ce47c8ed3ba3dbce71c1a20dd3481 | refs/heads/master | 1,541,049,198,347 | 1,537,967,023,000 | 1,537,967,029,000 | 119,653,145 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,685 | lean | /-
Copyright (c) 2018 Sean Leather. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sean Leather
Generating fresh atoms.
An atom (or inhabitant) of type `α` that is not a member of a given finite set
`s : finset α` is called “fresh.”
The set `s` is called the “avoidan... |
334b1f589a1d2a14dc5b4d76e6e5fb0abdc109aa | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/data/set/lattice.lean | 6dfb2be4ef2d872b6109066b9eb9b1e5f8be61d1 | [
"Apache-2.0"
] | permissive | naussicaa/mathlib | 86d05223517a39e80920549a8052f9cf0e0b77b8 | 1ef2c2df20cf45c21675d855436228c7ae02d47a | refs/heads/master | 1,592,104,950,080 | 1,562,073,069,000 | 1,562,073,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,328 | 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
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import logic.basic data.set.basic data.equiv.basic... |
7efb26bc2220c4a46fc5dcb5b874fd2eedfe7a6e | c8b4b578b2fe61d500fbca7480e506f6603ea698 | /src/caseI/aux_lemmas.lean | 8ffefdfa4ab80e80d979e2e006a9503e6c6c494d | [] | 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 | 9,292 | lean | import may_assume.lemmas
import number_theory.cyclotomic.factoring
import number_theory.cyclotomic.Unit_lemmas
import number_theory.cyclotomic.case_I
open finset nat is_cyclotomic_extension ideal polynomial int basis
open_locale big_operators number_field
namespace flt_regular
variables {p : ℕ} (hpri : p.prime)
lo... |
8a077f4f854dd1c6c6b7afd2f5af2612dc7e9d3a | 4e0d7c3132ce31edc5829849735dd25db406b144 | /lean/love13_rational_and_real_numbers_demo.lean | fd37736d4c4a213852603c658e83af4a8a922716 | [] | 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 | 13,515 | lean | import .lovelib
/-! # LoVe Demo 13: Rational and Real Numbers
We review the construction of `ℚ` and `ℝ` as quotient types.
A procedure to construct types with specific properties:
1. Create a new type that can represent all elements, but not necessarily in a
unique manner.
2. Quotient this representation, equa... |
4e3e1223bb6b8738abbff1acfc5ead83b3b13aa0 | 80162757f50b09d3cad5564907e4c9b00742e045 | /rb_dep.lean | cc3902a9cd3df8627eed332054952540f77836de | [] | no_license | EdAyers/edlib | cc30d0a54fed347a85b6df6045f68e6b48bc71a3 | 78b8c5d91f023f939c102837d748868e2f3ed27d | refs/heads/master | 1,586,459,758,216 | 1,571,322,179,000 | 1,571,322,179,000 | 160,538,917 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,147 | lean | /- Mirrors `rb.lean` but with dependent types from the start -/
namespace rb_dep
universes u v
section rb
open nat
inductive col | Red | Black
open col
inductive node (K : Type u) (A : Type v) : col → ℕ → Type max u v
|Leaf {} : node Black 0
|Rd {n} (l : node Black n) (v : K × A) (r : node Black n) : node Red n
|Bk ... |
b7f17ae8f53ba6f0116147627d53d6c82f3a420c | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Elab/Extra.lean | 854b418a29c0ea55811d685d7141ad7e9157392d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 23,260 | 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.App
import Lean.Elab.BuiltinNotation
/-! # Auxiliary elaboration functions: AKA custom elaborators -/
namespace Lean.Elab.Term
open Meta
... |
10fb166a7511f3318cbd7b121c8ce3cec895779b | 2c41ae31b2b771ad5646ad880201393f5269a7f0 | /Lean/Examples/Car/Car_SystemModel.lean | 3a06232a98fd937b75861d6cef596574d209a21a | [] | no_license | kevinsullivan/Boehm | 926f25bc6f1a8b6bd47d333d936fdfc278228312 | 55208395bff20d48a598b7fa33a4d55a2447a9cf | refs/heads/master | 1,586,127,134,302 | 1,488,252,326,000 | 1,488,252,326,000 | 32,836,930 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,008 | lean | import Qualities.Changeable
inductive CarStakeholders : Type
| manufacturer
| dealer
| owner
| driver
| passenger
| mechanic
| ai
record CarValue :=
mk :: (timeMinutes: nat)
(moneyDollars: nat)
(gasolineGallons: nat)
(wearRate: nat)
inductive CarPhases : Type
| manufacturing
| sale
| owner... |
420e9a74429eb584f857d96d391b8e808b1e19b1 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/nat/multiplicity.lean | 622d30908691c5d79eac9da82e13ab710bbb866d | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,881 | 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 algebra.big_operators.intervals
import data.nat.bitwise
import data.nat.log
import data.nat.parity
import ring_theory.int.basic
/-!
# Natural number multiplicity
... |
e722d9d0afe8550cff7f86dec90923fea26662c0 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Data/Format/Syntax.lean | 4a551e718588500bcb72a9f848256cd9410b2147 | [
"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 | 1,939 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Format.Macro
import Init.Data.Format.Instances
import Init.Meta
namespace Lean.Syntax
open Std
open Std.Format
private def format... |
42fd9007532328fac412416e7de6c691bb34f0be | ec62863c729b7eedee77b86d974f2c529fa79d25 | /1/b.lean | f57cbb80143dd92c1cdd90d1d076f3ffdf7b1eeb | [] | 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 | 586 | lean | def solve₂ (x₀ x₁ : Int) : List Int → Option Int
| [] => Option.none
| (x :: xs) =>
if x₀ + x₁ + x = 2020
then Option.some (x₀ * x₁ * x)
else solve₂ x₀ x₁ xs
def solve₁ (x₀ : Int) : List Int → Option Int
| [] => Option.none
| (x :: xs) => solve₂ x₀ x xs <|> solve₁ x₀ xs
def solve : List Int → Option Int
| [] =>... |
f3babd085460dec91e9e58626182c298f221a6ee | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/lib/list.lean | d59ba88d598c821667f0b383a4e115bd8c37d22e | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,358 | lean | import data.option
import data.buffer
universes u v w
namespace list
private def min_rel_aux {α : Type u} (r : α → α → Prop) [decidable_rel r] (curr : α) : list α → α
| [] := curr
| (a :: rest) := if r a curr then a else curr
def min_rel {α : Type u} (l : list α) (r : α → α → Prop) [decidable_rel r] : option α :=
... |
aa7f3f2563986382a628e2db1d0a17dba321d519 | abd85493667895c57a7507870867b28124b3998f | /src/linear_algebra/matrix.lean | 6e7e1ccfbb3b0d7d23b64fb9a4a403edc7245277 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 13,250 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Casper Putz
-/
import linear_algebra.dimension
/-!
# Linear maps and matrices
This file defines the maps to send matrices to a linear map,
and to send linear maps betw... |
d509c119a8ac60aae77eb18067e2c3341114d0b0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/default.lean | 2563b304688718cd20c915192af52b360b3dba8f | [] | 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 | 775 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.terminal
import Mathlib.category_theory.limits.shapes.binary_products
import Mathlib.category_theory.limits.shapes.products
import Mathlib.category_theory.limits.shapes.finite_products
import Mathlib.category_theory... |
50c3c88469ff1084226284630a39fad4837b97e8 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/ODE/gronwall.lean | 04426303cd2c01d82a882c05bc4d2d82e9dc432b | [
"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 | 13,190 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.special_functions.exp_deriv
/-!
# Grönwall's inequality
The main technical result of this file is the Grönwall-like inequality
`norm_le_gronwall_b... |
785953f5c328c33f01d6310951b85ec542045383 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/ParserCompiler/Attribute.lean | 150fe0af8a41bc60f1f605eba11886809421b736 | [
"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 | 1,972 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Attributes
import Lean.Compiler.InitAttr
import Lean.ToExpr
namespace Lean
namespace ParserCompiler
structure CombinatorAttrib... |
1fb02a618803387a5a2d231fe5d666ea2cf57c6a | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Init/Data/Nat/Basic.lean | 2b676b596883fadb4bdb9637789091fe62c1088e | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 28,191 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import Init.SimpLemmas
set_option linter.missingDocs true -- keep it documented
universe u
namespace Nat
/--
`Nat.fold` evaluate... |
62c9389a7866a29d8bbc00b0099e69f0671b4f71 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/multivariate_polynomial.lean | 17ddb63618baf7fa2aa317db2b1931b4eda2d44a | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 28,007 | 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
Multivariate Polynomial
-/
import algebra.ring
import data.finsupp data.polynomial data.equiv.algebra
open set function finsupp lattice... |
2603fea42593d881e36aef829b8a8e8746ede5f7 | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/utils/util.lean | cd4d2b629837d2e3321aa41b95cc15212c8da4e3 | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 18,438 | lean | import tactic
import .sexp
import control.traversable.derive
import data.string.basic
import meta.rb_map
infix `<e>`:100 := λ x y, tactic.to_expr y >>= x
section iterate_until
meta def iterate_until_aux
{m} [monad m] [alternative m] {α}
(tac : m α) (stop : α → m bool) (fuel_exhausted_callback : m α)
: Π (fuel... |
16e5a5fbab62dd0c0bd81a6b04630db0ca186d3e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/theories/analysis/real_limit.lean | ff9e05b0c8dea6d69c22b4cf12dd0bf1b6966e82 | [
"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 | 29,225 | 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
Instantiates the reals as a Banach space.
-/
import .metric_space data.real.complete data.set .normed_space
open real classical analysis nat topology
non... |
fe8d60c2b7684bc282443ef904f64dd609b6365a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/order/basic.lean | a17106de53df54568ded17e0b3d18ab90dc49c48 | [
"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 | 121,972 | 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, Yury Kudryashov
-/
import data.set.intervals.pi
import data.set.pointwise.interval
import order.filter.interval
import topology.support
import topology.... |
6db0d0f2add6c8e6cbb6d3d54b870b4d2d0eda38 | 367134ba5a65885e863bdc4507601606690974c1 | /archive/imo/imo1998_q2.lean | f4e5364b443a2c6a64d259fa84b4110905fc889a | [
"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 | 9,579 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import data.fintype.basic
import data.int.parity
import algebra.big_operators.order
import tactic.ring
import tactic.noncomm_ring
/-!
# IMO 1998 Q2
In a competition, there... |
05ddc3c12ded1520ebbde0bceaf141a647f42383 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/limits/shapes/images.lean | c596c5dab4e0341c595b1266e5a949661916de51 | [
"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 | 26,088 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.strong_epi
/-!
# Categorical images
We define the categorical im... |
27da2c0c3a7a1a7922e2f952ba8a5f75a9ed0476 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/localized_auto.lean | b49bd53a4dd4690e1c85ab63b4e5a3b3ac2ea14f | [] | 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 | 1,077 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!
# Localized notation
This ... |
1bdb829ca3fa1fbd8fbb7b75b37cc6db5fe40dd3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/int/default.lean | c71c4f767e83e18c839db3652f7f1aebb5873927 | [
"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 | 197 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import .basic .order .div .power .gcd
|
2c1d09bb40e6815fca71e8bf58ff35da6f0ed327 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tactic17.lean | aa4d76bb6a1287f9da941c7a4a6e2ba5741180ca | [
"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 | 232 | lean | import logic
open tactic
constant A : Type.{1}
constant f : A → A → A
theorem tst {a b c : A} (H1 : a = b) (H2 : b = c) : f a b = f b c :=
begin
apply (@congr A A (f a) (f b)),
apply (congr_arg f),
repeat assumption
end
|
666671ff9656ecacf74ced5046485d28dea4f236 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/adjoin/field.lean | 7a4b4920535d2f4df24be895fa881fea3eeb3c70 | [
"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 | 3,855 | 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.polynomial.splits
import ring_theory.adjoin.basic
import ring_theory.adjoin_root
/-!
# Adjoining elements to a field
> THIS FILE IS SYNCHRONIZED WITH MATHL... |
8641a53777d5602505f710d69cfba5caa8590b6f | 6b7c9c6393bac7cb1c64582a1c62597e24f5bb80 | /src/tactic/gptf/utils/default.lean | eef350cc2e3d8d3fecd9715626a1b553eed19a37 | [
"Apache-2.0"
] | permissive | alreadydone/lean-gptf | 56a7d9cbd9400af72fb143d60c8774b8cfbc09cb | b4ab1eb2da0178f3dcdc49771d9fed6b50e35d98 | refs/heads/master | 1,679,371,993,063 | 1,614,479,778,000 | 1,614,479,778,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30 | lean | import tactic.gptf.utils.util
|
a7f6eaa14b60f03562bddb1d47a879ec1e893dfe | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/algebra/open_subgroup.lean | dfa12d394678c4c1d1ce0876b5580511a54da5f6 | [
"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 | 9,447 | lean | /-
Copyright (c) 2019 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import order.filter.lift
import topology.opens
import topology.algebra.ring
/-!
# Open subgroups of a topological groups
This files builds the lattice `open_subgroup ... |
9e91667def6b3aa6a5f4219a0e5c818f4a3293f5 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/geometry/manifold/instances/sphere.lean | f081b216a54e92bae7223615be0dd16b224e2419 | [
"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 | 20,126 | 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 geometry.manifold.instances.real
import analysis.complex.circle
/-!
# Manifold structure on the sphere
This file defines stereographic projection from the ... |
58ebcdff91e2afae2bc47d4fad03bd7e490be301 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Deriving/Nonempty.lean | 735193b7ae2f761e517f4417fcaad59254faa124 | [
"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 | 1,497 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Lean.Elab.Deriving.Basic
namespace Lean.Elab
open Command Meta Parser Term
private def mkNonemptyInstance (declName : Name) : TermElabM Syntax.Command ... |
00aeb77f1c49edd2354966e18ce8a2dc4207cb2f | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/category_theory/adjunction/lifting.lean | be406c39c8c727d78607d9524886afd94581343f | [
"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 | 11,843 | 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.equalizers
import category_theory.limits.shapes.reflexive
import category_theory.adjunction
import category_theory.monad.adjunction
i... |
0d32f3ed40b9f6cadd36f51604cebbbaf06afa14 | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/higherOrderFunctions/list_map.lean | 6aa88d6a68e3eae298f01c50fa7f2b4e7134e36b | [] | 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 | 168 | lean | def list_map {α β : Type} : (α → β) → (list α) → list β
| f list.nil := list.nil
| f (h::t) := (f h)::(list_map f t)
#eval list_map nat.succ [1,2,3,4,5,6] |
c22acd6a60dd8b8e853ef79da7629db57421b72c | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/ring_theory/localization.lean | 17fca5c07622bfd5c31444b466a1c5f038f11fce | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 27,210 | 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
-/
import tactic.ring data.quot data.equiv.ring ring_theory.ideal_operations group_theory.submonoid
universes u v
local attribute [instance, prio... |
24844e84f628cbf076a31761aa1b3250edf7513e | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/app/WordSize.lean | 897593f254f569ada8d62af55517747d49127c08 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 523 | lean |
import SMTLIB.Syntax
inductive WordSize
| word8 : WordSize
| word16 : WordSize
| word32 : WordSize
| word64 : WordSize
namespace WordSize
def bytes : WordSize → Nat
| word8 => 1
| word16 => 2
| word32 => 4
| word64 => 8
/-- Bit width (i.e., the nominal width) --/
def bits (w:WordSize) : Nat := 8 * w.bytes
def... |
0be2f2c4b3955b00208712d9a9478b61a767b5b7 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/type_annot_app.lean | d11a674a84f54cb7a4d35512d15b6c36a405aa07 | [
"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 | 466 | lean | def f : ℕ → ℕ := λ _, 0
theorem A (x : ℕ) : f x = 0 := rfl
theorem B (x : ℕ) : (f : _) x = 0 := rfl
theorem C (x : ℕ) : (f : ℕ → ℕ) x = 0 := rfl
example (x) : f x = 0 := by simp [A] --ok
example (x) : f x = 0 := by have := A x; rw this --ok
example (x) : f x = 0 := by simp [B] --fails
example (x) : f x = 0 := by have... |
513235c5745994fec7e5659e7d92ef5b98cbec62 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/ref_auto.lean | d1cd405b02685a06f32d110d1e76188fa6796148 | [] | 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 | 444 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
namespace Mathlib
namespace tactic
/-- A `ref` performs the role of a mutable variable w... |
9818434ffa65f36587f59a201e54c982acb7b191 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/polynomial/symmetric.lean | 27ab1c3b0e6f1ac18985afcfe0767426677469e5 | [
"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 | 5,541 | lean | /-
Copyright (c) 2020 Hanting Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Hanting Zhang, Johan Commelin
-/
import tactic
import data.mv_polynomial.rename
import data.mv_polynomial.comm_ring
/-!
# Symmetric Polynomials and Elementary Symmetric Polynomials
Th... |
37843d8055cc5b38fbefc7cc7cd796546745418b | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/qpf/multivariate/constructions/sigma.lean | 1b4c8963c09db0fc84b6da7d5b9054d8505152c1 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 3,045 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: 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 mv... |
e3589b985f9601fdc89dd1b7cda2775e950e8470 | bce603343785d07c32cb8b35950aba0b4d9415ae | /lean3/src/relations.lean | e609ee2e07f9f3d120e41be42bd5a2ecde8808f8 | [] | no_license | fpvandoorn/cryptomorphism | db00cf0b12c8fd561a6200eee6a6ff2a023f1228 | d486419ecced54de3db759dae81110be44b7c28b | refs/heads/master | 1,693,198,883,854 | 1,636,562,038,000 | 1,636,562,038,000 | 363,219,330 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,065 | lean | import tactic
import tactic.slim_check
mk_simp_attribute props ""
variables {α : Type*}
@[props] def is_reflexive (r : α → α → Prop) : Prop := ∀ a, r a a
@[props] def is_irreflexive (r : α → α → Prop) : Prop := ∀ a, ¬ r a a
@[props] def is_symmetric (r : α → α → Prop) : Prop := ∀ a b, r a b → r b a
@[props] def is_tra... |
a8f88930d54ca2988e689593811cd6d68936ee34 | f1b175e38ffc5cc1c7c5551a72d0dbaf70786f83 | /data/set/lattice.lean | b05c20cb0bb609273b8465a6737febda12dbae12 | [
"Apache-2.0"
] | permissive | mjendrusch/mathlib | df3ae884dd5ce38c7edf452bcbfd3baf4e3a6214 | 5c209edb7eb616a26f64efe3500f2b1ba95b8d55 | refs/heads/master | 1,585,663,284,800 | 1,539,062,055,000 | 1,539,062,055,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,530 | 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
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import logic.basic data.set.basic data.equiv.basic... |
6f47d11327e9a379d3d93ab333d9a72be3a198b9 | 1446f520c1db37e157b631385707cc28a17a595e | /src/Init/Lean/Meta/Tactic/Target.lean | a493655c3ba2d23b2e3958ac932f0ec4a2bb7017 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,750 | 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
-/
prelude
import Init.Lean.Meta.AppBuilder
import Init.Lean.Meta.Tactic.Util
namespace Lean
namespace Meta
/--
Convert the given goal `Ctx |- target` into... |
075c9c554a5939dd893f2dc0e22927a87f146118 | 8e381650eb2c1c5361be64ff97e47d956bf2ab9f | /src/spectrum_of_a_ring/structure_sheaf_gluing.lean | ae596eefbbede80e352ef134fa989bfeee29f522 | [] | no_license | alreadydone/lean-scheme | 04c51ab08eca7ccf6c21344d45d202780fa667af | 52d7624f57415eea27ed4dfa916cd94189221a1c | refs/heads/master | 1,599,418,221,423 | 1,562,248,559,000 | 1,562,248,559,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,943 | lean | /-
Second argument of the ring lemma.
We show that the map R[1/fᵢ] → R[1/fᵢfⱼ] inverts fᵢ/1 * fⱼ/1.
-/
import ring_theory.localization
import to_mathlib.localization.localization_alt
import spectrum_of_a_ring.structure_presheaf
import spectrum_of_a_ring.structure_presheaf_localization
import spectrum_of_a_ring.s... |
264848c5a3f6c50b725174c5162f38b7f73d5f71 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/monoidal/internal/types_auto.lean | d0d64b2caacd73e870c4b7ac9ad9e9327bc36af3 | [] | 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 | 5,618 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.category.Mon.basic
import Mathlib.category_theory.monoidal.CommMon_
import Mathlib.... |
b93b4046c473305d7304f53e7218d5490ea268a2 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eqn_value_issue.lean | 9c4c49b50644b0328466828e6dca6d4dbb072b13 | [
"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 | 269 | lean | def f : nat -> nat
| 1 := 1
| 2000 := 2
| _ := 3
#check f.equations._eqn_1
#check f.equations._eqn_2
#check f.equations._eqn_3
def g : nat -> nat
| 0 := 1
| 2000 := 2
| _ := 3
#check g.equations._eqn_1
#check g.equations._eqn_2
#check g.equations._eqn_3
|
ebe19a4d17831e448497365c76de5355658af846 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/spec_issue.lean | a083563ea2cc8b492942befb1691de76222dd56a | [
"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 | 158 | lean |
set_option trace.compiler.ir.result true
def g (ys : List Nat) : IO Nat := do
let x := 0
let (_, x) ← StateT.run (ys.forM fun y => IO.println y) x
pure x
|
7ad2d8c9f815eb9af57fe0d95c65ff2e028d66ca | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/dec_trivial_problem.lean | c8a40ffff33da90405a8aa1db0147abf565f0b27 | [
"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 | 401 | lean | definition n : nat := 3
open tactic
meta definition dec_triv : tactic unit :=
do tgt ← target,
inst ← to_expr ``(decidable %%tgt) >>= mk_instance,
to_expr ``(@of_as_true %%tgt %%inst trivial) >>= exact
example : 0 < n :=
by dec_triv
notation `dec_trivial2` := by dec_triv
example : 0 < n :=
dec_trivial2
nota... |
0fc192df9ea2fe4fdbe1f70ff7c05ce223e7aff7 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /world_experiments/world7/level13.lean | c5b8be3adda9769d107c341d8a6120514c320a32 | [] | 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 | 723 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level12 -- hide
namespace mynat -- hide
/-
# World 2 -- Addition World
## Level 13 -- `add_left_eq_zero`
You have the usual stuff.
* `zero_ne_succ (a : mynat) : zero ≠ succ(a)`
might be useful for this one.
The following lemma will be... |
60832c336900a0ada4e40bd3efff64b63327f4c2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/partition/finpartition.lean | 6a26c426fca3e71507140f4a63b1658b9c04ceee | [
"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 | 19,678 | lean | /-
Copyright (c) 2022 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.big_operators.basic
import order.atoms
import order.sup_indep
/-!
# Finite partitions
In this file, we define finite partitio... |
dac78d9c37ae3ee269326aabc8d5b8f4a948619d | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/t9.lean | 4c0afbe75fd9451f89eb59af310d2b3cde33c91c | [
"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 | 388 | lean | precedence `+` : 65
precedence `*` : 75
precedence `=` : 50
precedence `≃` : 50
constant N : Type.{1}
constant a : N
constant b : N
constant add : N → N → N
constant mul : N → N → N
namespace foo
infixl + := add
infixl * := mul
check a+b*a
end foo
-- Notation is not avaiable outside the namespace
check a+b*a
name... |
6f02fa8328be2432618fbd657678b4fe2a91b53a | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/filter/germ.lean | 605ee3d27129cbeee1cf9f6e5a6f67f74b681628 | [
"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 | 21,463 | 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, Abhimanyu Pallavi Sudhir
-/
import order.filter.basic
import algebra.module.pi
/-!
# Germ of a function at a filter
The germ of a function `f : α → β` at a fi... |
a2251b665826e91681cd60b38cac8e46f39dfa07 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/iterate_auto.lean | 1ed403d7ee5986d1539c50f6601b953b93db8d3f | [] | 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 | 5,241 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.basic
import Mathlib.logic.function.iterate
import Mathlib.data.nat.basic
impo... |
81c5eb34a376d5fbaa50476c72d53badfa017077 | 053e034f0e0e1fe8e0505b2354923e53b2bc5311 | /src/exercises_sources/friday/analysis.lean | e4b7c7237a7955f0588f282b4dae0137e72faf86 | [] | permissive | eric-wieser/lftcm2020 | 58d2e207f9862005f2ac25ac58f0cfa50c24116e | 042ef8cbe34f3ca91207b8ba379e837c3872945d | refs/heads/master | 1,669,034,846,341 | 1,594,981,386,000 | 1,594,981,386,000 | 280,398,568 | 0 | 0 | MIT | 1,594,982,530,000 | 1,594,982,530,000 | null | UTF-8 | Lean | false | false | 1,097 | lean | import analysis.analytic.composition
import analysis.normed_space.real_inner_product
import topology.metric_space.pi_Lp
import analysis.calculus.iterated_deriv
namespace lftcm
open real
/-!
# Derivatives
Lean can automatically compute some simple derivatives using `simp` tactic.
-/
example : deriv (λ x : ℝ, x^5) 6... |
f89b254f01e373993094b970346b02c22060a4b7 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/match_tac4.lean | 62944d07e835f8544a27d32ad35a47b887d7dd89 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 736 | lean | notation `⟪`:max t:(foldr `,` (e r, and.intro e r)) `⟫`:0 := t
check ⟪ trivial, trivial, trivial ⟫
theorem tst (a b c d : Prop) : a ∧ b ∧ c ∧ d ↔ d ∧ c ∧ b ∧ a :=
begin
apply iff.intro,
begin
intro H,
match H with
| ⟪ H₁, H₂, H₃, H₄ ⟫ := ⟪ H₄, H₃, H₂, H₁ ⟫
end
end,
begin
intro H,
match... |
e56daca30abd35da69294b46650364c2f5066270 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/support.lean | 72375836ec0476bec5e3d2ad31ad1a7a5b398578 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 4,754 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import order.conditionally_complete_lattice
import algebra.big_operators
/-!
# Support of a function
In this file we define `function.support f = {x | f x ≠ 0}` a... |
deb395a337d085fb6f665361f80595b07068171e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/witt_vector/isocrystal.lean | 74f49caeefa05e9ea8550884c216b7f075e01316 | [
"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 | 8,642 | lean | /-
Copyright (c) 2022 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import ring_theory.witt_vector.frobenius_fraction_field
/-!
## F-isocrystals over a perfect field
When `k` is an integral domain, so is `𝕎 k`, and we can consi... |
1d1c583a1fc367f4c7f5cd250c98e8f2a5519154 | 3f48345ac9bbaa421714efc9872a0409379bb4ae | /src/set_category/colimits/Sum.lean | e6f911f4a44e439f9ffbff3d3fcdd2ca66f078d7 | [] | 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 | 3,494 | lean | import category_theory.category
import category_theory.functor
import category_theory.types
import help_functions
import tactic.tidy
universes v u
namespace Sum
open category_theory
set
classical
function
help_functions
sum
local notation f ` ⊚ `:80 g:80 := category_struct.comp g f
/- ... |
23307954f9908e6c6222c25e7d8b778c4e768007 | d0c6b2ba2af981e9ab0a98f6e169262caad4b9b9 | /src/Lean/Meta/AppBuilder.lean | d3983d45a184b2514a6ab6f62d37f0ba10a70055 | [
"Apache-2.0"
] | permissive | fizruk/lean4 | 953b7dcd76e78c17a0743a2c1a918394ab64bbc0 | 545ed50f83c570f772ade4edbe7d38a078cbd761 | refs/heads/master | 1,677,655,987,815 | 1,612,393,885,000 | 1,612,393,885,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,881 | 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.Structure
import Lean.Util.Recognizers
import Lean.Meta.SynthInstance
import Lean.Meta.Check
namespace Lean.Meta
/-- Return `id e` -/
def mkId... |
fe62cca1d772fcc2c1af753667f99158da5dbdf8 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/limits/shapes/terminal.lean | f8f37a5a4354a53a19e5fd35d9c1e778f120a1a0 | [
"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 | 2,048 | 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.limits.shapes.finite_products
import category_theory.pempty
universes v u
open category_theory
namespace category_theory.limits
variables (... |
44de55c3329e014c6d4aa0ddb0db17ec227b146f | fe84e287c662151bb313504482b218a503b972f3 | /src/data/cfrac/numbers.lean | 967bfc6d207951f9f440385847832703ba22ba79 | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 25,294 | lean | import data.pnat.basic data.setoid.basic
inductive spread (α : Type*)
| zero : spread
| ps : α → spread
| ng : α → spread
namespace spread
instance {α : Type*} : has_zero (spread α) := ⟨zero⟩
lemma zero_def {α : Type*} : (0 : spread α) = zero := rfl
instance {α : Type*} [has_one α] : has_one (spread α) := ⟨ps 1⟩ ... |
06176ec5b46854ddc141f87bd1709b3f382b1a11 | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/evaluation.lean | 4f97950a15cbec1d54ef0857fc43ee7e828a475b | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 49,255 | lean | /-
Copyright (c) 2020 Jason Rute. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Jason Rute and Jesse Michael Han
REPL for interacting with Lean
-/
import data.nat.basic
import system.io
import tactic.core
import tactic
import utils
import .tactic_state
import basi... |
f6e4305cdbb73f36822a5d8471486f1237176a1f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Reduce.lean | 27765dc65588d48625d4e2de897feeca99aa49ef | [
"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 | 1,735 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Basic
import Lean.Meta.FunInfo
import Lean.Util.MonadCache
namespace Lean.Meta
partial def reduce (e : Expr) (explicitOnly skipTypes skip... |
10d753186d4cf0f036b88921eb67a98bdb34fab4 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Std/Data/BinomialHeap.lean | 9961fe5c0d242b1bdf06bc10d8a3cd62874e7233 | [
"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 | 8,422 | 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, Jannis Limperg
-/
namespace Std
universe u
namespace BinomialHeapImp
structure HeapNodeAux (α : Type u) (h : Type u) where
val : α
rank : Nat
children ... |
7ccbed0c53876ea84955b0603f420253949dda99 | ca37452420f42eb9a19643a034c532fb39187bd0 | /kruskal.lean | 09bccae16e6a742ce9c23e572e822d96a9b7fda6 | [] | no_license | minchaowu/Kruskal.lean | 0096fd12c6732dcb55214907e7241df27d22a51e | 0ec4a724c18d8fa2bc1e81dfc026a045888526d5 | refs/heads/master | 1,589,975,750,330 | 1,481,928,508,000 | 1,481,928,508,000 | 70,121,484 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,490 | lean | import data.fin data.list
open fin nat function list eq.ops
inductive finite_tree : Type :=
| node : finite_tree
| cons : Π {n : ℕ}, (fin n → finite_tree) → finite_tree
namespace finite_tree
definition size : finite_tree → ℕ
| node := 1
| (@cons n ts) := Suml (upto n) (λ i, size (ts i)) + 1
theorem exists_... |
f2609d218dc2e8da0525c3fa1a8497f0e3f81c35 | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/multiplicity.lean | 808a05944fa3c6ddbe9951cbd0f7568908bfc64c | [
"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 | 17,347 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Chris Hughes
-/
import algebra.associated
import data.int.gcd
import algebra.big_operators
variables {α : Type*}
open nat roption
theorem nat.find_le {p q : ℕ → Pr... |
7ce8e13ae40ca469987626feb53c69b803f3e0c6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/finset/sigma.lean | e000ed62e556eca76454b4143dbaab3d9facedc5 | [
"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 | 6,407 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yaël Dillies, Bhavik Mehta
-/
import data.finset.lattice
import data.set.sigma
/-!
# Finite sets in a sigma type
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any chan... |
cef627d9b3650a20e8353288fdfa4c98c8e5501f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/export.lean | b86c085248c51f9dba73b3a5ec942cf2597dca0e | [
"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 | 136 | lean | constants a b : nat
namespace boo
export nat (rec add)
#check a + b
#check nat.add
end boo
open boo
#check a + b
#check nat.rec
|
9ae1154507d5b4116a7e1a0185c7f49bad5c9b7a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/model_theory/fraisse.lean | d819e48cea930869838b1f31e970c4b8a33b5dce | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 13,506 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import model_theory.finitely_generated
import model_theory.direct_limit
import model_theory.bundled
/-!
# Fraïssé Classes and Fraïssé Limits
This file pertains to ... |
6fa0d3ca477d102fe98c27e55242d395b8f67228 | 034f05d7801df9252e04c34de9fe17863d8426fb | /.config.lean | 6834e07a02a8e97f34aab215e10ccbc651ddfe9e | [
"MIT"
] | permissive | amxo/MT1300 | 2d03d0dccf7d391b3a5c29770a255b4db4d7b7a8 | c7452de5fa57b0f01396c191c76a2b4bab54150c | refs/heads/main | 1,677,948,578,026 | 1,613,195,046,000 | 1,613,195,046,000 | 338,482,907 | 0 | 0 | MIT | 1,613,184,292,000 | 1,613,184,292,000 | null | UTF-8 | Lean | false | false | 248,662 | lean | #
# Automatically generated file; DO NOT EDIT.
# OpenWrt Configuration
#
CONFIG_MODULES=y
CONFIG_HAVE_DOT_CONFIG=y
# CONFIG_TARGET_sunxi is not set
# CONFIG_TARGET_apm821xx is not set
# CONFIG_TARGET_ath25 is not set
# CONFIG_TARGET_ar71xx is not set
# CONFIG_TARGET_ath79 is not set
# CONFIG_TARGET_bcm27xx is not set... |
5aa06c1a4e1c4ea5d4bda83b8914eff7c3d17c53 | 43390109ab88557e6090f3245c47479c123ee500 | /src/M1F/problem_bank/0503/Q0503.lean | 028cfbe0505f5a96352cd14a1236c4b9c045a539 | [
"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 | 5,279 | lean | import algebra.group_power tactic.norm_num algebra.big_operators
theorem Q3a (n : ℕ) : ∃ k, (n+1)+(n+2)+(n+3)+(n+4) = 4*k+2 := sorry
lemma of_nat_pow : ∀ a b: ℕ, int.of_nat(a^b)=(int.of_nat a)^b :=
begin
intros a b,
induction b with k Hk,
unfold monoid.pow,
simp [int.of_nat_one],
unfold monoid.pow nat.pow, -- pow... |
5039fe9c89139c7ccc94a66092e71cf97a0dbbc7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/finset/lattice_auto.lean | c21f5229d68e1d18bd6afaea1d6bcfe77eb47f73 | [] | 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 | 33,896 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.finset.fold
import Mathlib.data.multiset.lattice
import Mathlib.order.order_dual
import... |
81314ae43ef6eb512e61a226b391db3ce879224e | ea11767c9c6a467c4b7710ec6f371c95cfc023fd | /src/monoidal_categories/braided_monoidal_functor.lean | ca3812ad999472fc52adb2e0be37849d23c920c8 | [] | no_license | RitaAhmadi/lean-monoidal-categories | 68a23f513e902038e44681336b87f659bbc281e0 | 81f43e1e0d623a96695aa8938951d7422d6d7ba6 | refs/heads/master | 1,651,458,686,519 | 1,529,824,613,000 | 1,529,824,613,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 349 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .braided_monoidal_category
namespace categories.braided_monoidal_functor
open categories.braided_monoidal_category
-- PROJECT
end catego... |
13831f38d9f2bf371430e9dd7ef247821d95f2e2 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/PPRoundtrip.lean | 5062229bbcbbabecae20c2912455eef6aa29469a | [
"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 | 3,087 | lean | import Lean
open Lean
open Lean.Elab
open Lean.Elab.Term
open Lean.Elab.Command
open Std.Format open Std
open Lean.PrettyPrinter
open Lean.Meta
def checkM (stx : TermElabM Syntax) (optionsPerPos : OptionsPerPos := {}) : TermElabM Unit := do
let opts ← getOptions
let stx ← stx
let e ← elabTermAndSynthesize stx none <... |
7756361b9efaeb549238997f36963b3b18f6b7ff | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/data/real/ennreal.lean | 8cd75fd1c55a675ade18a1fb664708fddc5ddbae | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,178 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
-/
import data.real.nnreal
import data.set.intervals
/-!
# Extended non-negative reals
We define `ennreal := with_no ℝ≥0` to be the type of extended no... |
df5c0bce705ab3091288fec8beb9f8214ab17ff0 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /group_theory/order_of_element.lean | 573cf5b05c3dbf5e2c3d632811d52fc0f1c6bc04 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 6,491 | 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.set.finite group_theory.coset
open set function
variables {α : Type*} {s : set α} {a a₁ a₂ b c: α}
-- TODO this lemma isn't used anywhere in this file, ... |
d2d0847779835b7d9d567534ed84198d8942677f | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/normed_space/matrix_exponential.lean | 529ec5ab24174ac28580215fee5a486a20b0dc46 | [
"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 | 9,479 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import analysis.normed_space.exponential
import analysis.matrix
import linear_algebra.matrix.zpow
import linear_algebra.matrix.hermitian
import linear_algebra.matrix.symme... |
873510e827442c81f590055684a364817d2a141f | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Init/Data/List/Control.lean | 53474987a6909063b12bbb381aa4e4fdddbb4fce | [
"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 | 6,210 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Basic
import Init.Data.List.Basic
namespace List
universe u v w u₁ u₂
/-
Remark: we can define `mapM`, `mapM₂` and `forM` using... |
67f009734cbb773b9bb679c093999f84df579617 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/category/BddLat.lean | 99d624ae156e348d0ad0ad730cd64b589098d66b | [
"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 | 6,608 | 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 category_theory.adjunction.opposites
import order.category.BddOrd
import order.category.Lat
import order.category.Semilat
/-!
# The category of bounded lattices
... |
ce50e06d77bda022948843b0a54af04665da96da | 618003631150032a5676f229d13a079ac875ff77 | /src/control/equiv_functor.lean | e0d1cc47e381a78a814b16cdd635593537cac8e3 | [
"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 | 2,355 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
-/
import category_theory.category
import data.equiv.functor
/-!
# Functions functorial with respect to equivalences
An `equiv_functor` is a function from `Type → Type`... |
0a217c93d967426ef285c0b1e7d9c9df9a8c6b27 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/wf.lean | 547a202f10e084b70f989b7d32004371bb875f75 | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 6,820 | 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
-/
prelude
import init.data.nat.basic init.data.prod
universe variables u v
inductive acc {α : Type u} (r : α → α → Prop) : α → Prop
| intro : ∀ x, (∀ y, r y ... |
56928b654748d5543e9af35beb7154f5e04685cd | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/measure_theory/measure_space.lean | a88871bc3ad2bbc5363f9c2b77174a3aa18e1a39 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,306 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.set.lattice data.set.finite
import topology.instances.ennreal
measure_theory.outer_measure
/-!
# Measure spaces
Measures are rest... |
08aeb5f962f71329a9afa99d156134dbd80d0c6d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/calculus/fderiv.lean | 037c7bfb0deece5147dc6c23a6b140764cf81e0f | [
"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 | 134,543 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.asymptotics.asymptotic_equivalent
import analysis.calculus.tangent_cone
import analysis.normed_space.bounded_linear_... |
1e1b150e786ab06eb94f12760d60ca3d269b765c | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/mygroup/gareth.lean | 6bc608cabd2e6cd8c2c2d1d013dfb455658d224a | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 5,293 | lean | -- Gareth's question
import ..logic
import .basic
class gareth (α : Type)
extends has_mul α, has_inv α, inhabited α :=
(mul_assoc (x y z : α): x * y * z = x * (y * z))
(exists_inv (x : α): x * (x⁻¹) * x = x)
(inv_unique (x y : α): x * y * x = x → y = x⁻¹)
namespace gareth
variables {α : Type} [gareth α] (x y z : α)... |
6e52805b661f888c42a5fd1a2642de1c986b34c1 | 03577f7aaac416af2e8f734149669af300dc499c | /lean_exercises/q2.lean | c3c34a1fc40016809003adc48dbe3aa24dd0f925 | [] | no_license | nymarya/algorithms | b4dc73389de588e6934da15b0e0b67ae354907aa | 1df987f82273a8ffe2b2042552bbb1428bf165bf | refs/heads/master | 1,609,629,118,479 | 1,600,087,537,000 | 1,600,087,537,000 | 99,489,969 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 764 | lean | open group
open tactic
-- books
-- https://leanprover.github.io/logic_and_proof/logic_and_proof.pdf
-- https://leanprover.github.io/theorem_proving_in_lean/inductive_types.html
-- https://github.com/leanprover/lean/blob/master/library/init/algebra/group.lean
#print group
universe u
variables {α : Type u}
-- https:/... |
08be83e95fb0aa3cd04e53bb1a2760e53bfdf4fb | 367134ba5a65885e863bdc4507601606690974c1 | /src/number_theory/fermat4.lean | d3967f28675a55658243053da15068f77cff4821 | [
"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 | 12,442 | lean | /-
Copyright (c) 2020 Paul van Wamelen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Paul van Wamelen.
-/
import number_theory.pythagorean_triples
import ring_theory.coprime
/-!
# Fermat's Last Theorem for the case n = 4
There are no non-zero integers `a`, `b` and `c... |
1e7cd286c84ca56b7bf6dac62f08b63988d776e1 | d744d97b07fc1e61b0ebea192b2d624125898128 | /src/option.lean | 75af8150efd61d0cccf921d0777203989b80d70e | [
"MIT"
] | permissive | parkersullivan/leanstuff | 019c757848dd8f5db185e6973969141aee6fef7c | 3da132c44d365ecd933de64fa04ba66b9e620683 | refs/heads/master | 1,599,036,040,845 | 1,573,316,625,000 | 1,573,316,625,000 | 219,181,711 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 345 | lean | namespace my_option
inductive pol_option (α : Type) : Type
| None : pol_option
| Some (n : α ) : pol_option
def op0 := pol_option.None nat
def op1 := pol_option.Some 5
#check op0
def option_in {α : Type} [decidable_eq α] : pol_option α → α → bool
| (pol_option.None α) n := ff
| (pol_option.Some x) n := (n = x)
... |
4c010235c3e69387af811fd0cfc6dc3285bad9b7 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/nat/log.lean | 1d4a5049bf5122f46a693b2c5ae4d9cc0cd2fea3 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 11,911 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Yaël Dillies
-/
import data.nat.pow
import tactic.by_contra
/-!
# Natural number logarithms
This file defines two `ℕ`-valued analogs of the logarithm of `n` with base `b`:
... |
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