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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ddc267c82943db87a75f796ae4cd90185191d78c | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/run/830.lean | 634bff9b8c39060773cbbe9c429a199728ea7a29 | [
"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 | 417 | lean | variable P : Prop
premise HP : P
example : P :=
have H : P, from HP,
H
example : P :=
have H : P, from HP,
show P, from H
example : P :=
have H : P, from HP,
by+ exact H
example : P :=
have H : P, from HP,
show P, by+ exact H
example : P :=
have H : P, from HP,
show P, begin+ exact H end
example : P :=
have H : P... |
470b6743b052f06d8a1ead7138171a70eaa5e06d | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/algebraic_card.lean | 5cf00a5d2af68133db15f692553fdee03bb0007f | [
"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 | 3,573 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import data.polynomial.cardinal
import ring_theory.algebraic
/-!
### Cardinality of algebraic numbers
In this file, we prove variants of th... |
aac594b25eaccb14ca143e885957cc344c71e5b9 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/opposites.lean | 0602dd1faef13702a4b3d76be6b9dc15a7c8ff09 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 3,605 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Floris van Doorn
-/
import category_theory.limits.limits
import category_theory.discrete_category
universes v u
open category_theory
open category_theory.functor
open... |
b21901e7de150a1bc206099ad8bfddfcbc339932 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/int/order.lean | c486c6d4450212d013d0ce165aff441565f932d9 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 2,962 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import order.conditionally_complete_lattice
import data.int.least_greatest
/-!
## `ℤ` forms a conditionally complete linear order
The integers form a conditiona... |
b59c811e6edabf90c206e0552533ea9754800502 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/mv_polynomial/pderiv.lean | d16f979572947735870932439c9dccc0c6fbc68e | [
"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 | 5,431 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import data.mv_polynomial.variables
import algebra.module.basic
import tactic.ring
/-!
# Partial derivatives of polynomials
This file defines the notion of the form... |
9129a14a4916247ed672572671d9fb399cbb339b | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/fin_poly.lean | a6f7d3934e0a2caa4eb7c9138ebdd05d044d4a89 | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,013 | lean | import data.fin_fn
/-- A multi-variate, computable polynomial. Based off mathlib's mv_polynomial
definition. -/
def fin_poly (α : Type*) (β : Type*) [has_zero β] := fin_fn (fin_fn α ℕ) β
section instances
variables (α : Type*) (β : Type*)
instance [has_zero β] [decidable_eq α] [decidable_eq β] : decidable_eq... |
bc246f35aca4c3ec744c8e63cdfb352260da501f | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/typeclass_coerce.lean | b72ecd4582583db1059c767b9242f949ee71e575 | [
"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 | 3,864 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam, Leonardo de Moura
Declare new, simpler coercion class without the special support for transitivity.
Test that new tabled typeclass resolution deals with loops an... |
1c81ff0a7adda8bd87aee234a420956d879e62c0 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/order/category/Semilat.lean | 44b058fcc2e7fa654c8c98b8ded118a09cf54094 | [
"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 | 4,994 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.PartOrd
import order.hom.lattice
/-!
# The categories of semilattices
This defines `SemilatSup` and `SemilatInf`, the categories of sup-semilattic... |
9248c232b71a193e9e0a0b0cdd2735f07c6f4bd8 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/dep_coe_to_fn2.lean | 7acf9fd76cd3b973f2207db21edf1ef62b1f8701 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 265 | lean | universe variables u v
structure Func :=
(A : Type u) (B : A → Type v) (fn : Π a, B a → B a)
instance F_to_fn : has_coe_to_fun Func :=
{ F := λ f, Π a, f^.B a → f^.B a,
coe := λ f, f^.fn }
variables (f : Func) (a : f^.A) (b : f^.B a)
check (f a b)
|
fa170eb1cb848c648feede49e1700313b00d4d30 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/measure_theory/integration.lean | cf2a52cdd8621d457c2fcbe8855ea032626385a1 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 38,112 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
Lebesgue integral on `ennreal`.
We define simple functions and show that each Borel measurable function on `ennreal` can be
approximated by a sequence ... |
08b1cd9e0be9ec6230907ee1bd8c68cb32efb485 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/connected.lean | d592ce240831e528149a7a8cc3d3824ed40df884 | [
"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 | 3,740 | 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.equalizers
import category_theory.limits.preserves.basic
import category_theory.is_con... |
999eb30210c1df735e186cce2c74472b3a3285ac | 91b8df3b248df89472cc0b753fbe2bac750aefea | /experiments/lean/src/ddl/default.lean | 5489f3d3f4f010ac98d4e9d46f78f62d2ec82758 | [
"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 | 120 | lean | import ddl.basic
import ddl.binary
import ddl.binder
import ddl.ctx
import ddl.embed
import ddl.host
import ddl.parsing
|
b3c67dd20b25c39add87d7bf7c5c100c9f0effeb | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/real/pi.lean | 9676f5d46036a13a72ae1d46c6c5c6eea31ccebf | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 14,957 | 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, Benjamin Davidson
-/
import analysis.special_functions.pow
/-!
# Pi
This file contains lemmas which establish bounds on or approximations of `real.pi`. Notably, th... |
3c80f8775f173dcc42063a736879048108beabdd | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/vandermonde.lean | 903364524c4ff9e26a79cdef85c3fd892770814f | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,791 | 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.big_operators.fin
import algebra.geom_sum
import group_theory.perm.fin
import linear_algebra.matrix.determinant
import tactic.ring_exp
/-!
# Vandermonde ma... |
f804a253fb348a02952a2d2fb691a10d90f40e45 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/algebra/associated.lean | 2d2da606e9bd25b66512a36e28a736544d1481ae | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 25,505 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Associated and irreducible elements.
-/
import algebra.group data.multiset
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
open lattice
/-- ... |
52412f9b3b2fdc80ed50df5f77d85d74e0614964 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /stage0/src/Lean/Elab/Command.lean | 731361435b2bca881dbdd4f39640929731ca0fb7 | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,487 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Command
import Lean.ResolveName
import Lean.Meta.Reduce
import Lean.Elab.Log
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.E... |
739b94fb2cde955b752b05dd9f77bc50fa58f487 | e8153a5579a289d323a1f905f108faed9bb4988c | /src/multiplicity_vectors.lean | aee5660cdff0345dba00bb77dbcab5aae1cca9d3 | [] | no_license | awainverse/perfect_number | 983ae4a6fdeafc507be0143e949f33b985d415df | 3d5504b4529fbccd4ab69c8816731096c50402be | refs/heads/master | 1,667,809,996,394 | 1,593,575,741,000 | 1,593,575,741,000 | 272,861,730 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,211 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson.
-/
import data.finsupp
import data.pnat.factors
import order.conditionally_complete_lattice
import order.lattice
import tactic.pi_instances
/-
# Factor Finsupps
## No... |
89d4ce70a7cb7f8bb82168ce14326258d1b33fa1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/perm/option.lean | 97779360fbd642dc89e0b0b05486c1bcd910b965 | [
"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 | 3,699 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Eric Wieser
-/
import group_theory.perm.sign
import data.equiv.option
/-!
# Permutations of `option α`
-/
open equiv
lemma equiv_functor.map_equiv_option_injective {α β : Type*} :
func... |
e5c94c94398fba7727fc7a4bee1fcbf99344123d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/number_theory/liouville/liouville_with.lean | 6595a76b8d4f4d0bbce41c919b8e085c4a526b9b | [
"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 | 14,948 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.special_functions.pow
import number_theory.liouville.basic
import topology.instances.irrational
/-!
# Liouville numbers with a given exponent... |
9414a0474b4f0e090d50f82be02a56dd7f641b8b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/subsemigroup/basic.lean | a380ec63b600b4b24ed170def39f4f785d464b7d | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 16,857 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov, Yakov Pechersky
-/
import algebra.hom.group -- Only needed for notation
i... |
4668077a4256f6e7e4f9af4fb1f4701e4adf083b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/uniform_space/uniform_convergence_topology.lean | 7b4610f323f9128b806c5a973e1b39be64b15b6e | [
"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 | 46,972 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import topology.uniform_space.uniform_convergence
import topology.uniform_space.pi
import topology.uniform_space.equiv
/-!
# Topology and uniform structure of un... |
345d494bb00c6b65b9e437706d5a2bbb2f2f8982 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/deprecated/subgroup.lean | 15be3012a5d3c0badf2c8c3f2eeeec615084be17 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,832 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro,
Michael Howes
-/
import group_theory.subgroup
import deprecated.submonoid
open set function
variabl... |
11df2677f7d61e9f8bd45e4a6854603856113b14 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/set/intervals/basic.lean | d3e1098cd55cb47af52c26a864ebc7a9b7abffa1 | [
"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 | 54,974 | 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, Yury Kudryashov, Rémy Degenne
-/
import algebra.order.group
import data.set.basic
import order.rel_iso
import order.order_dual
/-!
# In... |
7d14365a06a17aad9cbb4c0ea7cc60c103ba8886 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/e6.lean | 5b61f4b6562209d3b22da294eb6b3d9080aa6de3 | [
"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 | 617 | lean | precedence `+`:65
namespace nat
constant nat : Type.{1}
constant add : nat → nat → nat
infixl + := add
end nat
namespace int
open nat (nat)
constant int : Type.{1}
constant add : int → int → int
infixl + := add
constant of_nat : nat → int
coercion [persistent] of_nat
end int
open int
open nat
cons... |
c5988e2befc1b7a79221301c538fd67bbdc2032c | 4fa161becb8ce7378a709f5992a594764699e268 | /src/measure_theory/lebesgue_measure.lean | 6217ab0d3a2f03350ced169c16144dbc6f3b0229 | [
"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 | 12,269 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Lebesgue measure on the real line
-/
import measure_theory.measure_space
import measure_theory.borel_space
noncomputable theory
open classical set filter
open nnreal (o... |
829dea4cd9e3d6e329957768a13e229b320c3b7f | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/topology/instances/ennreal.lean | 989ea1c775bfe9c274a0c463a2fcdbb8c2434a4f | [
"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 | 28,780 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import topology.instances.nnreal data.real.ennreal
noncomputable theory
open classical set lattice filter metric
local attribute [instance... |
9d2bbccf8fbb1a63af81d6c0832c128c05f6bebc | ebb7367fa8ab324601b5abf705720fd4cc0e8598 | /algebra/product_group.hlean | 800650fd14d23484c67b1e8b97cc019cce85d90b | [
"Apache-2.0"
] | permissive | radams78/Spectral | 3e34916d9bbd0939ee6a629e36744827ff27bfc2 | c8145341046cfa2b4960ef3cc5a1117d12c43f63 | refs/heads/master | 1,610,421,583,830 | 1,481,232,014,000 | 1,481,232,014,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,080 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Egbert Rijke
Constructions with groups
-/
import algebra.group_theory hit.set_quotient types.list types.sum .subgroup .quotient_group
open eq algebra is_trunc se... |
70d3e8e555238f8ed2a4a64b3d271221262aa915 | 3d2a7f1582fe5bae4d0bdc2fe86e997521239a65 | /misc/human.lean | 9240ff55da4b0175d9eeed5291ef1b1fb1790a59 | [] | 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 | 3,501 | lean | /-
Typeful Ontologies with Direct Multilingual Verbalization
Krasimir Angelov, Ramona Enache
From https://www.molto-project.eu/sites/default/files/FinalSUMOCNL.pdf
-/
constant Class : Type
-- SUMO immediateSubclass
constant subClass : Class → Class → Type
-- SUMO subclass
constant Inherits : Class → Class → Type
c... |
dec1cd90fd4a3c210601a5848ae1fd6636599156 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/category_theory/concrete_category/basic.lean | 640e5e220fd2fdf75fb356cce63d10dc082d126e | [
"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 | 5,324 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Reid Barton, Sean Leather, Yury Kudryashov
-/
import category_theory.types category_theory.full_subcategory
/-!
# Concrete categories
A concrete categ... |
4fd313d9745a58a0d4357d087b51f5cf13a52aa8 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/exercises_sources/thursday/category_theory/exercise7.lean | ac1e90a56cdf361f32015c96460142cbbf630e23 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,666 | lean | import category_theory.monoidal.category
import algebra.category.CommRing.basic
/-!
Let's define the category of monoid objects in a monoidal category.
-/
open category_theory
variables (C : Type*) [category C] [monoidal_category C]
structure Mon_ :=
(X : C)
(ι : 𝟙_ C ⟶ X)
(μ : X ⊗ X ⟶ X)
-- There are three missin... |
0275bab6164879fda47f0d006d3ecb4944a0a259 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/pnat/factors.lean | e7aa6da83e6ace1a0d31a37d25a6d55778a83038 | [
"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 | 14,968 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
-/
import data.pnat.prime
import data.multiset.sort
import data.int.gcd
import algebra.group
/-!
# Prime factors of nonzero naturals
This file defines the factorizat... |
db2429218704f8262814126f65a8584d6eb5f689 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /enat.lean | edbebecdf9ff7e3dc59b8f436d6895ba41fbde94 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,300 | lean | import data.pfun order.bounded_lattice algebra.ordered_group
open roption lattice
@[elab_as_eliminator] lemma roption.induction_on {α : Type*} {P : roption α → Prop} (a : roption α)
(hnone : P none) (hsome : ∀ a : α, P (some a)) : P a :=
(classical.em a.dom).elim
(λ h, roption.some_get h ▸ hsome _)
(λ h, (eq_no... |
4c37431d9d1d650a16c6cdcf4407df90c826b2a4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/float_cases_bug.lean | d35b00bb3d0caa5256c12d6f921306127275fdbe | [
"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 | 65 | lean |
def foo (xs : List Nat) :=
xs.span (fun n => (decide (n = 1)))
|
7ebd0200f8817c343d1cfe4d2393f3a6aa996a22 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/limits/shapes/binary_products.lean | 93fa823c481858194aa07410aa0550b6d5511bf6 | [
"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 | 22,613 | lean | /-
Copyright (c) 2019 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.limits.shapes.terminal
/-!
# Binary (co)products
We define a category `walking_pair`, which is the index category
for a binary ... |
e2083c7cdf94eda382558b855e41ab30d1f95edc | 66a6486e19b71391cc438afee5f081a4257564ec | /colimit/seq_colim.hlean | 1ddf46e1cd2e9e40a019ea276c6dc0001a608891 | [
"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 | 40,576 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Egbert Rijke
-/
import hit.colimit .sequence cubical.squareover types.arrow types.equiv
cubical.pathover2
open eq nat sigma sigma.ops quotient equiv pi is_t... |
1cbff85c961fe47e8b1c5751b9c7028798260b35 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/fail/run_command.lean | 1a0b01c7681ef2fbd8c24aa07095421f7590d212 | [
"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 | 28 | lean | run_cmd tactic.fail "Error"
|
cf8a5b95e2246e59ef07e771e41c6a626d88fcef | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/dfinsupp_auto.lean | e19fe3c23d0a0a5e7c4a7713dbfc86bfe202b6b1 | [] | 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 | 5,192 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.dfinsupp
import Mathlib.linear_algebra.basic
import Mathlib.PostPort
universes u... |
74766f234da06fbbbb08fcba601bf54a0b0a48c0 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Std.lean | c3ee40aa0b1d0cc4d68d9a42374bb024a686339c | [
"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 | 222 | 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.Data
import Std.Control
import Std.ShareCommon
|
2cb5984d2d517ef09376cf3505c5ebed6d0810ed | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love07_metaprogramming_demo.lean | 7a8774beba390ba8964f8700543ea876d56f3a86 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,384 | lean | import .love05_inductive_predicates_demo
/- # LoVe Demo 7: Metaprogramming
Users can extend Lean with custom monadic tactics and tools. This kind of
programming—programming the prover—is called metaprogramming.
Lean's metaprogramming framework uses mostly the same notions and syntax as
Lean's input language itself.... |
c5e83eb344a1b595f8c4050d14c3b23a8e85b791 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/rules/pushFilterPastAgg.lean | fdcf45468cd1378ec31e2026eb84fd60da967433 | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 1,058 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..meta.cosette_tactics
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
constant integer_10 : const int
definition rule: forall (Γ scm_dept: Schema) (rel_dept: relation scm_dept) (dept_deptno : Column i... |
ffb43750147f5846875f660e597c22f9547d819c | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/project_1_a_decrire/lean-scheme-submission/src/sheaves/presheaf_of_rings_extension.lean | a9fe479a0a0ae826ee7f6a749aba0dbaf8a2cd8c | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,631 | lean | /-
Presheaf of rings extension.
https://stacks.math.columbia.edu/tag/009N
-/
import to_mathlib.opens
import sheaves.covering.covering
import sheaves.presheaf_of_rings
import sheaves.presheaf_of_rings_on_basis
import sheaves.stalk_of_rings_on_standard_basis
universes u v w
open topological_space
open lattice
ope... |
bf4732f0cae13eae0464e85a944c228e652192c1 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/shapes/finite_products.lean | dc772ea2e7d8d390def3fa076fc2e1c0277b301c | [
"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 | 3,489 | 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.binary_products
import category_theory.limits.shapes.finite_limits
import category_theory.limits.shapes.products
import category_... |
7ca22e812e94fb6ecfa9147734da18c0542c6c64 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/comma.lean | dd46f0df070df6d93333836b07a25e0c9952d604 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 11,307 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin
-/
import category_theory.isomorphism
import category_theory.punit
namespace category_theory
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; se... |
c92cf4510eb7d5774d4fa72f6c78816d1215cd19 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/smt/interactive.lean | 2b38ffb230721fbdc3397dc289b9e400b7b380c0 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 9,841 | 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.meta.smt.smt_tactic init.meta.interactive_base
import init.meta.smt.rsimp
namespace smt_tactic
meta def save_info (p : pos) : smt_tacti... |
ddb11f6a011c0e91c939538d71c893d842bcc6d8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/preserves/shapes/equalizers.lean | a499268a22f5d7ac3f0b040e7d03aa648987c736 | [
"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 | 7,355 | 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.split_coequalizer
import category_theory.limits.preserves.basic
/-!
# Preserving (co)equalizers
Constructions to relate the notions... |
60cb8b18348e0ce0a537f8666c43e29a7af3c359 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/fintype/card.lean | 72f300ed56a07c94bc5ca66fa3da8af4bb54a71f | [
"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 | 16,201 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fintype.basic
import algebra.big_operators.ring
/-!
Results about "big operations" over a `fintype`, and consequent
results about cardinalities of certai... |
84f46f5a38709b1ddb75bd5c4d63a99c32888c92 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rat/basic.lean | f666d4b2252c0c6c4f6c146f46d00e91fbe35274 | [] | 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 | 17,741 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.encodable.basic
import Mathlib.algebra.euclidean_domain
import M... |
238e5eccf31cfc2c88ad82fca539477392a156dd | 137c667471a40116a7afd7261f030b30180468c2 | /src/set_theory/cardinal.lean | ab7d87bfefbfa5d11f5f59469f57a6a47a645e55 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 52,258 | 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, Floris van Doorn
-/
import data.set.countable
import set_theory.schroeder_bernstein
import data.fintype.card
import data.nat.enat
/-!
# Cardinal Number... |
176e2c90997b3ee9bde186006fdbb7131e3c47a9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/namespace_bug.lean | 2209c4f480a7f4ffb070fa1175f1787afa3f8a1e | [
"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 | 69 | lean | namespace playground
namespace nat
#check 2+3
end nat
end playground
|
58429d44fffdd4463e5f4331ee7aaaca3592cf88 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/ring_theory/algebraic.lean | 23308db0bf921dcaf67432c23addf9e045c247f8 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,450 | 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 linear_algebra.finite_dimensional
import ring_theory.integral_closure
import data.polynomial.integral_normalization
/-!
# Algebraic elements and algebraic ex... |
6eb0580404ccc411a945a0e8d696da6c864a808b | d31b9f832ff922a603f76cf32e0f3aa822640508 | /src/hott/types/eq.lean | ba8ec10cce1a97714978bc8d597ef615324a7a70 | [
"Apache-2.0"
] | permissive | javra/hott3 | 6e7a9e72a991a2fae32e5764982e521dca617b16 | cd51f2ab2aa48c1246a188f9b525b30f76c3d651 | refs/heads/master | 1,585,819,679,148 | 1,531,232,382,000 | 1,536,682,965,000 | 154,294,022 | 0 | 0 | Apache-2.0 | 1,540,284,376,000 | 1,540,284,375,000 | null | UTF-8 | Lean | false | false | 21,319 | lean | /-
Copyright (c) 2014 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 path types (identity types)
-/
import .sigma
universes u v w
hott_theory
namespace hott
open hott.eq hott.sigma hott... |
3f81ccb6551133e7ffbc92829875efcd1faa3298 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Linter.lean | 183ff4c584e0cffa45a79e2d15e80e400e5fb34c | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 753 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.Attributes
import Lean.Syntax
import Lean.Message
namespace Lean
def Linter := Environment → Name → Syntax → IO MessageLog
def mkLintersRef :... |
6e064376cb41d9a98a08a7d49b9b51b750848a7e | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/macro_macro.lean | df866d79a8bac42103f8ee20ed84d4f35e16a595 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 239 | lean | new_frontend
macro mk_m id:ident v:str n:num c:char : command => `(macro $id:ident : term => `(fun (x : String) => x ++ $v ++ toString $n ++ toString $c))
mk_m foo "bla" 10 'a'
mk_m boo "hello" 3 'b'
#check foo "world"
#check boo "boo"
|
b16070cf7a621503332a61f1fcacd0987f5c5860 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/topology/continuity.lean | 7cc7b0c270ed4a0b98097501b96d9a08e93d8c5e | [] | 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 | 20,230 | lean | import .topological_space
namespace hidden
namespace topological_space
variables {α β γ: Type}
open classical
local attribute [instance] classical.prop_decidable
def is_continuous
(X: topological_space α) (Y: topological_space β)
(f: α → β): Prop :=
∀ V : myset β, is_open Y V → is_open X (myset.inverse_image f V)... |
0ec202ef3a1190b47985eb46e92b924c62dae065 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /src/Lean/Meta/Tactic/Injection.lean | f4c91a2b28649ab467b72d6f0cca7e2c2953fde8 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,307 | 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.AppBuilder
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Intro
namespace Lean
namespace Meta
induc... |
e24f45e7c133c9de3c51aed7538495f76ae50dc1 | 94e33a31faa76775069b071adea97e86e218a8ee | /archive/imo/imo1987_q1.lean | 9dd606ffe31bb8d66a0f722b4afe63f0e4c8f8ad | [
"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 | 4,124 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import data.fintype.card
import dynamics.fixed_points.basic
/-!
# Formalization of IMO 1987, Q1
Let $p_{n, k}$ be the number of permutations of a set of cardinali... |
80778c2724d8cd8bd887a61d01901976e329f09a | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/analysis/calculus/local_extr.lean | 4e5a9628d8b29686f275ba818068093bfee733d8 | [
"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 | 14,853 | 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 topology.local_extr
import analysis.calculus.deriv
/-! # Local extrema of smooth functions
## Main definitions
In a real normed space `E` we define `pos_t... |
60af328663908c91e16beea32b2ffb65c1f4fd76 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/lie/universal_enveloping.lean | 62f641d15016d7a5e58f782047515446a09253e8 | [
"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 | 4,814 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.of_associative
import algebra.ring_quot
import linear_algebra.tensor_algebra
/-!
# Universal enveloping algebra
Given a commutative ring `R` and a Lie ... |
c4d41ad97e6aa0699b875e6416332ea72bd45b18 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/algebra/category/CommRing/pushout.lean | 906ec981ebfb1c596879e724171d658b6cd4c39c | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,205 | lean | /-
Copyright (c) 2020 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.limits.shapes.pullbacks
import ring_theory.tensor_product
import algebra.category.CommRing.basic
/-!
# Explicit pushout cocone for CommRing
In this... |
24c1a1c7a7be4bcfa5cd64e4812bdf35531a062f | 3446e92e64a5de7ed1f2109cfb024f83cd904c34 | /src/game/world3/level8.lean | 400bdca97e3afc85cd7ac7bdff12c9f511a9324f | [] | no_license | kckennylau/natural_number_game | 019f4a5f419c9681e65234ecd124c564f9a0a246 | ad8c0adaa725975be8a9f978c8494a39311029be | refs/heads/master | 1,598,784,137,722 | 1,571,905,156,000 | 1,571,905,156,000 | 218,354,686 | 0 | 0 | null | 1,572,373,319,000 | 1,572,373,318,000 | null | UTF-8 | Lean | false | false | 1,530 | lean | import game.world3.level7 -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 8: `mul_comm`
Finally, the boss level of multiplication world. But (assuming you
didn't cheat) you are well-prepared for it -- you have `zero_mul`
and `mul_zero`, as well as `succ_mul` and `mul_succ`. After this
level you ca... |
1c45cae049ebc446c26b101bcb0c576ce34fb473 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/dfinsupp/order.lean | 99b1df89079d92c018ed63ba73e848eb443b58f7 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 7,744 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.dfinsupp.basic
/-!
# Pointwise order on finitely supported dependent functions
This file lifts order structures on the `α i` to `Π₀ i, α i`.
## Main declar... |
84826fb393ea9165767a651c6c48130c9f245a5a | 26ac254ecb57ffcb886ff709cf018390161a9225 | /archive/sensitivity.lean | 8932d5d8ca265b3e52aced5c261367b01aa1f38b | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 15,513 | lean | /-
Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, and
Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin, Jesse Han, Chris Hughes, Robert Y. Lewis, and Patrick Massot
-/
import tactic.f... |
64a7bdf6f1c9653f07acf99933d9d949eab8b501 | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /examples/categories/cartesian_product.lean | f8413a2757af255c77261f4ca44cdd24bb04f64b | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 4,733 | 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 ...monoidal_categories.monoidal_category
import ...discrete_category
open tqft.categories
open tqft.categories.functor
open tqft.categories... |
45e32c2619dcd64d2e6cf1d94f0a2332a2eec555 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/ring_invo.lean | 124367886ee1f59809bd38da5c54fa96f1bf8b31 | [
"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 | 2,053 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kenny Lau
-/
import data.equiv.ring
import algebra.ring.opposite
/-!
# Ring involutions
This file defines a ring involution as a structure extending `R ≃+* Rᵐᵒᵖ`,... |
7f07552ad0d0ef33e678d3f2e5d5951997fe822c | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/num3.lean | d529cb3d0bccd3dda236ec7e76a807ef58c4087e | [
"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 | 213 | lean | --
set_option pp.notation false
set_option pp.implicit true
constant N : Type.{1}
constant z : N
constant o : N
constant a : N
notation 0 := z
notation 1 := o
#check a = 0
#check 2 = (1:num)
#check (2:num) = 1
|
77cb33386801cbaf58d2374a8df7c743f83c2c68 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/complex/is_R_or_C.lean | 0df2d3d605db759b1c5165825870e030d970250e | [
"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 | 31,577 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import data.real.sqrt
import field_theory.tower
import analysis.normed_space.finite_dimension
/-!
# `is_R_or_C`: a typeclass for ℝ or ℂ
This file defines the type... |
f977df7e5fa823ebfdee2c2c3a261476d086b184 | 80d0f8071ea62262937ab36f5887a61735adea09 | /src/certigrad/mvn.lean | 27a610791bc891d6bab7134b3306fc6e3889fa2c | [
"Apache-2.0"
] | permissive | wudcscheme/certigrad | 94805fa6a61f993c69a824429a103c9613a65a48 | c9a06e93f1ec58196d6d3b8563b29868d916727f | refs/heads/master | 1,679,386,475,077 | 1,551,651,022,000 | 1,551,651,022,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,648 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Properties of the multivariate Gaussian distribution.
-/
import .tfacts .tgrads
namespace certigrad
namespace T
axiom is_integrable_mvn_of_sub_exp {shape₁ shape₂ : S} (μ... |
2a52a25ef3ceddebe651fa6ebf259303045406b1 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/localized.lean | 5fc903027c685047b4c5ffc30e3129d0bc7136f5 | [
"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 | 3,344 | 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 tactic.core meta.rb_map
/-!
# Localized notation
This consists of two user-commands which allow you to declare notation and commands localized to a name... |
1407e330d8fa6c7547af9ffeaa7689eb88eac3b7 | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/data/mv_polynomial.lean | e6596db52e5fac7b251e718e53e8517c59fd59ea | [
"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 | 39,906 | 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... |
d4f18584ebd4691bd24b32925a229f5c65ad1204 | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/algebra/category/constructions/functor.hlean | 510d9cbd65500145097a80a3160871aca1ddecde | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 6,115 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
Functor precategory and category
-/
import ..nat_trans ..category
open eq functor is_trunc nat_trans iso is_equiv
namespace category
definit... |
61a42af18985a3d1e8cd4e3ccee58b56fb9b5a0b | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/number_theory/lucas_lehmer.lean | ea98bc19bdf0de7c441528212dbd23b203b9cfb6 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,215 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Scott Morrison, Ainsley Pahljina
-/
import tactic.ring_exp
import tactic.interval_cases
import data.nat.parity
import data.zmod.basic
import group_theory.order_of_eleme... |
a8f491c51b9ea2b875dc612737e9aac5688d7ece | 94e33a31faa76775069b071adea97e86e218a8ee | /src/combinatorics/simple_graph/clique.lean | d16e1a82bb09070a17a062727fc963bf5fb6532b | [
"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 | 9,013 | 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 combinatorics.simple_graph.basic
import data.finset.pairwise
/-!
# Graph cliques
This file defines cliques in simple graphs. A clique... |
62fa1b979e80a4ff8e0200601684f03cb63877c1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/subobject/limits.lean | 8e9f332322e92394a77b9d2f81f14471d19fb929 | [
"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 | 13,701 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.lattice
/-!
# Specific subobjects
We define `equalizer_subobject`, `kernel_subobject` and `image_subobject`, which ar... |
5d4dd98d56947bd29eeab1e99e62264d0c137150 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/tools/super/datatypes.lean | 3e95c8945ccd9f5be34a3ccd639656ad2279bc8f | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,523 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause_ops .prover_state
open expr tactic monad
namespace super
meta def has_diff_constr_eq_l (c : clause) : tactic bool := do
env ← get_env,
return $ list.bo... |
d3036efb0e5384daf8c592bd7065f9c8845f38fc | 4727251e0cd73359b15b664c3170e5d754078599 | /src/control/monad/basic.lean | 28ba0a0117a64070fbf80c252bc12be44fe0a652 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 2,722 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import logic.equiv.basic
import tactic.basic
/-!
# Monad
## Attributes
* ext
* functor_norm
* monad_norm
## Implementation Details
Set of rewrite rules and automati... |
09e6a0189324e4905a37877362297634bc4cc812 | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/sum_over_divisors.lean | 8eeaa43228b4f08a00f1829bc0b9839a3378b877 | [
"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 | 894 | lean | -- sums over sets
import algebra.big_operators
-- positive naturals
import data.pnat
namespace nat
open list
/-- returns the finset of divisors of a positive natural -/
definition factors (d : ℕ+) : list ℕ :=
filter (λ e, e ∣ d) (range (d+1))
#eval factors 6 -- [1, 2, 3, 6]
lemma mem_factors_iff_divides (d : ... |
f4442c0f168e7905b0e3e0abce66f58b2c8ac7e3 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/geometry/manifold/smooth_manifold_with_corners.lean | 6c14200b27cd150fa8c87c200c87ab531a9571b4 | [
"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 | 33,737 | 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.calculus.times_cont_diff
import geometry.manifold.charted_space
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold i... |
bbf5db0edd60e5705fb6286997a83576d9b783c9 | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /library/algebra/category/basic.lean | 17ea1e45dd094ac87f088e605d8c49eed54c8828 | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,108 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.basic
Author: Floris van Doorn
-/
import logic.axioms.funext
open eq eq.ops
structure category [class] (ob : Type) : Type :=
(hom : ob → ob → Type)
(comp : Π⦃... |
c100ae4320d5dfe0c2fe83c760070392bcec9936 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /src/Lean/Elab/Do.lean | f01c5ae595c87d55680375589cfdbc62121e5951 | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,457 | 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.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.Match
import Lean.Elab.Quotation.Util
import Lean.Parser.Do
namespace Lean.Elab.Term
open L... |
f1c28c6c25b99ebc52ba19a6c2d5265b55f7ddf7 | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/ring_theory/ideal/over.lean | 5f988755d900020e0fff741804b0b9d7b72fd21f | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,482 | 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 ring_theory.algebraic
import ring_theory.localization
/-!
# Ideals over/under ideals
This file concerns ideals lying over other ideals.
Let `f : R →+* S` be a rin... |
091ed07ddeafb31557bf1a640d9a90e22758df40 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/uniform_space/compare_reals.lean | 490e9e4b2412a4944e703dc78ea9a0b5a9a20723 | [
"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 | 4,803 | lean | /-
Copyright (c) 2019 Patrick MAssot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import topology.uniform_space.absolute_value
import topology.instances.real
import topology.uniform_space.completion
/-!
# Comparison of Cauchy reals and Bourbaki re... |
234f6aff1c732161bc9ffd3a1f126d3239f81417 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/aops/2005-IMO_Shortlist-A2.lean | 022accd8242f7d22e5d694ce3eda782b8865fbcb | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 170 | lean |
import data.real.basic
import data.real.nnreal
theorem exo (f: nnreal -> nnreal):
(forall x y, (f x) * (f y) = 2 * f (x + y*(f x)))
-> forall x, f x = 2
:=
sorry |
94ef70cb5bd8ffb52ed4e1d98562963a7fc3f421 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/topology/continuous_on.lean | 216133ba3c5b99a5b116c0ad660d369bd4d25b98 | [
"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 | 44,292 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
* `nhds_within` of `nhds`
* `co... |
15b9f5d52c56c3d3ca59031cf424135dc39e6ced | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/push_neg.lean | a834bd6680a0ea234418184984541696aaf62552 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,192 | lean | /-
Copyright (c) 2019 Patrick Massot All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Patrick Massot, Simon Hudon
A tactic pushing negations into an expression
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.logic.basic
import Mathlib.algebr... |
4639f7873ca6781a81f9f623013bb55703848c35 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/mv_polynomial/basic.lean | 9cf2c096dcbbafb94f85a7cae9872800d0100b74 | [
"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 | 36,527 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import data.polynomial.eval
/-!
# Multivariate polynomials
This file defines polynomial rings over a base ring (or even semiring),
... |
0c563a042e4883964e6a6a25e49148661db104d5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/box_integral/basic.lean | b2017495c31715c74c4f25a3a2308e99e06c83b8 | [
"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 | 43,271 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.partition.filter
import analysis.box_integral.partition.measure
import topology.uniform_space.compact_separated
/-!
# Integrals of Rie... |
45d901055870acbf874e12756b3e154746fe817f | bf532e3e865883a676110e756f800e0ddeb465be | /tactic/converter/binders.lean | 9c237218041126502efe1c35fb32e920c1dd5c69 | [
"Apache-2.0"
] | permissive | aqjune/mathlib | da42a97d9e6670d2efaa7d2aa53ed3585dafc289 | f7977ff5a6bcf7e5c54eec908364ceb40dafc795 | refs/heads/master | 1,631,213,225,595 | 1,521,089,840,000 | 1,521,089,840,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,898 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Binder elimination
-/
import order tactic.converter.old_conv
namespace old_conv
open tactic monad
meta instance : monad_fail old_conv :=
{ fail := λ α s, (λr e, tacti... |
cd6660cf4c6ddd8f756ab346a66af5eba4999d99 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/logic/classes/decidable.lean | 07173400599d4a36368c5afe1a519b9c1318f4e3 | [
"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 | 3,084 | 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
-----------------------------------------------------... |
cf1981bc182cf29d8d0d26333f2f1700bc6c047c | 750acab0c635b67751bcfec43c5411aa3941c441 | /exercises.lean | 8787350a7d92b6cc05c41d89b0998384937369e8 | [] | no_license | nthomas103/lean_work | 912f8e662cdd73ba97f5d3655ddb8a5d2cd204c9 | 7e9785cae2b60a77b41922fd5d5b159a1fae415c | refs/heads/master | 1,586,739,169,355 | 1,455,759,226,000 | 1,455,759,226,000 | 50,978,095 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,065 | lean | import standard
open set
section proof_practice
--(many of these courtesy of Dan)
variables {P Q R : Prop}
example : P → P :=
sorry
example : P → (P → Q) → Q :=
sorry
example : P → P ∨ Q :=
sorry
example : P → (P → Q) → (Q → R) → R :=
sorry
example : P → (P → Q → R) → Q → R :=
sorry
example : ((P → Q) → R) ... |
d63269ef9cd9f67fed82ce6900a4c35fcf7944a2 | ec5a7ae10c533e1b1f4b0bc7713e91ecf829a3eb | /ijcar16/examples/cc14.lean | 632e24cb052b8191eb757e8c84e318f0c7aa6900 | [
"MIT"
] | permissive | leanprover/leanprover.github.io | cf248934af7c7e9aeff17cf8df3c12c5e7e73f1a | 071a20d2e059a2c3733e004c681d3949cac3c07a | refs/heads/master | 1,692,621,047,417 | 1,691,396,994,000 | 1,691,396,994,000 | 19,366,263 | 18 | 27 | MIT | 1,693,989,071,000 | 1,399,006,345,000 | Lean | UTF-8 | Lean | false | false | 638 | lean | /-
Example/test file for the congruence closure procedure described in the paper:
"Congruence Closure for Intensional Type Theory"
Daniel Selsam and Leonardo de Moura
The tactic `by blast` has been configured in this file to use just
the congruence closure procedure using the command
set_option blast.strategy... |
6c11ea1a2e8ab7895698da1990ed0e0e4fc1cea8 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/Semigroup.lean | d338858dea116f2108cfa5a4aadc9b7af4d3776e | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,718 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section Semigroup
structure Semigroup (A : Type) : Type :=
(op : (A → (A → A)))
(associative_op : (∀ {x y z : A} , (op (op x y) z) = (op x (op y z))))
open Semigr... |
73da21273fd8c9b54b190c1df46acf7dc2007f85 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/theories/group_theory/subgroup.lean | 553a8a41821c460780aaa2aa32a489809260e14f | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 16,962 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import data algebra.group data
open function eq.ops
open set
namespace coset
-- semigroup coset definition
section
variable {A : Type}
variable [s : semigroup A]
inclu... |
ecacf5c9124b69a2c14a408521af9198ef44023d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/algebra/order/extend_from.lean | 29a052da4e0ebbf4d453412d57b0dab3c5245e01 | [
"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 | 3,130 | 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 topology.algebra.order.basic
import topology.extend_from
/-!
# Lemmas about `extend_from` in an order topology.
-/
open filt... |
09fcc8c29d8b6caeed4a00d839e51f04213ba4ae | fa01e273a2a9f22530e6adb1ed7d4f54bb15c8d7 | /src/N2O/Data/Put.lean | b18638e548669b2f94af6d0fd619be003e555c01 | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/n2o | 4c99afb11fff0a1e3dae6b3bc8a3b7fc42c314ac | 58c1fbf4ef892ed86bdc6b78ec9ca5a403715c2d | refs/heads/master | 1,670,314,676,229 | 1,669,086,375,000 | 1,669,086,375,000 | 200,506,953 | 16 | 6 | null | null | null | null | UTF-8 | Lean | false | false | 2,317 | lean | import N2O.Data.Bytes
import N2O.Data.Sum
def PutM (α : Type) := α × ByteArray
namespace PutM
def HasMap {α β : Type} (f : α → β) : PutM α → PutM β
| (a, w) => (f a, w)
instance : Functor PutM :=
{ map := HasMap }
def pure {α : Type} (x : α) : PutM α := (x, ByteArray.empty)
def HasSeq {α β : Type} (a ... |
d35fd41817bd076ded2b9c0d2995aa4d08781f9c | a19a4fce1e5677f4d20cbfdf60c04b6386ab8210 | /library/init/wf_k.lean | 03dde4d751bb77f1002757a8e014be71179c36af | [
"Apache-2.0"
] | permissive | nthomas103/lean | 9c341a316e7d9faa00546462f90a8aa402e17eac | 04eaf184a92606a56e54d0d6c8d59437557263fc | refs/heads/master | 1,586,061,106,806 | 1,454,640,115,000 | 1,454,641,279,000 | 51,127,143 | 0 | 0 | null | 1,454,648,683,000 | 1,454,648,683,000 | null | UTF-8 | Lean | false | false | 750 | 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.nat
namespace well_founded
-- This is an auxiliary definition that useful for generating a new "proof" for (well_founded R)
-- th... |
3faef523ca008e7af2b596fe5383a0082a4c8846 | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /exam_2/satisfiability/satisfiability.lean | 7fb9bc9c3d4f8d0c317066434e8e735ce4593a48 | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,105 | lean | import .propositional_logic_syntax_and_semantics
import .rules_of_reasoning
/-
Here we implement a propositional logic validity
checker as a function, is_valid: pExp → bool. This
main routine is defined at the bottom of this file.
As is good practice in the design of software and
of logical specifications and proof... |
e1d211fb3ebb9b02fdfb587c4ea9cb8ec35384ea | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/number_theory/sum_four_squares.lean | 8d81dc664388e6510f62701752e5ff6589e07fc8 | [
"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 | 11,788 | 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.group_power.identities
import data.zmod.basic
import field_theory.finite.basic
import data.int.parity
import data.fintype.card
/-!
# Lagrange's four squa... |
89bc374dea072c3dec10ac348f0e3ea883f30eb3 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /test/omega.lean | 10731ba0090939863c8a728ef2a84e75b9f641b9 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 3,203 | lean | /-
Test cases for omega. Most of the examples are from John Harrison's
Handbook of Practical Logic and Automated Reasoning.
-/
import data.fintype
import tactic.omega
example (n : ℤ) : n - 1 ≠ n := by omega
example (x : int) : (x = 5 ∨ x = 7) → 2 < x := by omega
example (x : int) : x ≤ -x → x ≤ 0 := by omega
example ... |
37b41fd4af5c144d858fe76f7260f4c59cb58527 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/seq/computation.lean | cf6fd1ffedada5a74a5e3b503c9615dc2cd8ca0d | [
"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 | 37,516 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Coinductive formalization of unbounded computations.
-/
import data.stream logic.relator tactic.basic
universes u v w
/-
coinductive computation (α : Type u) : T... |
b859b1f17eccf505ca415ba2bd720d7d1bdd405c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sheaves/limits.lean | 90cbca28a2112fc7be68029fbec331f7f1ccecfd | [
"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 | 1,749 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.sheaf
import category_theory.sites.limits
import category_theory.limits.functor_category
/-!
# Presheaves in `C` have limits and colimits whe... |
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