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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
80b756c90c892e976a1485af0f1d7e3b707c9cd1 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/algebraic_geometry/presheafed_space.lean | e02df88471a8616e31ae696627fe9ea632d8783e | [
"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 | 8,351 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.presheaf
/-!
# Presheafed spaces
Introduces the category of topological spaces equipped with a presheaf (taking values in an
arbitrary targe... |
ff5bd37ef7dc9fff001e96bc8dd3916842ba522e | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/nat/fib.lean | d3891e40615a728c16f17e9247413ec274cf54f8 | [
"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 | 5,555 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import data.stream.basic
import tactic
import data.nat.gcd
/-!
# The Fibonacci Sequence
## Summary
Definition of the Fibonacci sequence `F₀ = 0, F₁ = 1, Fₙ₊₂ = ... |
385c3f0d41178291108ab9ae9d7b8f406f78387d | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/untrusted_examples.lean | 6f230473b5a1794dbb80bbdc2974bdbe62691d07 | [
"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 | 217 | lean | open tactic
set_option pp.all true
example (m1 : tactic nat) (m2 : nat → tactic bool) : true :=
by do
m1 ← get_local `m1,
m2 ← get_local `m2,
b ← mk_app `monad.bind [m1, m2],
trace b,
constructor
|
dc7fcac0188f78927cc0dbd1a74adf4a32857bee | 63abd62053d479eae5abf4951554e1064a4c45b4 | /archive/imo/imo1960_q1.lean | 8266f10b39407889375a18df4d43b541d442d2c8 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 3,339 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker
-/
import data.nat.digits
/-!
# IMO 1960 Q1
Determine all three-digit numbers $N$ having the property that $N$ is divisible by 11, and
$\dfrac{N}{11}$ is equal to the sum... |
08cd5eed63cce671e2b78d75247a644210dd975c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/multiset/interval.lean | af501ed5fd1bd056105b65a7566423c30d0fbaf1 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,273 | 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 data.finset.locally_finite
import data.dfinsupp.interval
import data.dfinsupp.multiset
import data.nat.interval
/-!
# Finite intervals of multisets
This file provi... |
9715c609f40d3aa37b5bf049c4522eea16ecf817 | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/topology/algebra/uniform_group.lean | a1419c83651dd306f207e59e984675827b4c9a8b | [
"Apache-2.0"
] | permissive | OHIHIYA20/mathlib | 023a6df35355b5b6eb931c404f7dd7535dccfa89 | 1ec0a1f49db97d45e8666a3bf33217ff79ca1d87 | refs/heads/master | 1,587,964,529,965 | 1,551,819,319,000 | 1,551,819,319,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,465 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Uniform structure on topological groups:
* `topological_add_group.to_uniform_space` and `topological_add_group_is_uniform` can be used to
construct a... |
907f6f0999f9c0a3ddaf93b0c551f12036977f97 | 75bd9c50a345718d735a7533c007cf45f9da9a83 | /src/measure_theory/set_integral.lean | e74b3f283925064d1ebb0294e4419ec1a00bc33f | [
"Apache-2.0"
] | permissive | jtbarker/mathlib | a1a3b1ddc16179826260578410746756ef18032c | 392d3e376b44265ef2dedbd92231d3177acc1fd0 | refs/heads/master | 1,671,246,411,096 | 1,600,801,712,000 | 1,600,801,712,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 35,405 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.bochner_integration
import analysis.normed_space.indicator_function
/-!
# Set integral
In this file we prove some properties of... |
016770fdf119e028d3c4bdfcaba61dfaa20537b4 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/nat/with_bot.lean | 713a12e2cc1f8e3e36b6146698a6d901e17fff66 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 2,275 | 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.nat.order.basic
import algebra.order.monoid.with_top
/-!
# `with_bot ℕ`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
77c6df0d98d92e98374c8fade741c3cd2fb755bd | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/fiber.hlean | 377c2ec179829de278ab12ff17f97a1dcecdba61 | [
"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 | 6,195 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about fibers
-/
import .sigma .eq .pi .pointed
open equiv sigma sigma.ops eq pi
structure fiber {A B : Type} (f : A → B) (b : B) :=
... |
6261530dbd53fcfe7242c9d8e4581f31f16bb43c | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/scan_test1.lean | 360dca6d5379b9b4ebcf79e519956158706f4a9b | [
"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 | 11 | lean | print 10.0. |
4ce00372370b36fa05fd54889574a9de2852f041 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/algebra/monoid.lean | b3cfc0da5f4f35a25ffefc5e7d2e6f92b1e7c35f | [
"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 | 5,669 | 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 monoids.
TODO: generalize `topological_monoid` and `topological_add_monoid` to semigroups, or add a type class
`topological_opera... |
6b32e90dc7ca0fa6c6ecca811c0d611cc3596282 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/sites/sheaf.lean | c8364bbfda47724648e8ccddc0f21bc36be10ed7 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,003 | lean | /-
Copyright (c) 2020 Kevin Buzzard, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Bhavik Mehta
-/
import category_theory.sites.sheaf_of_types
import category_theory.limits.yoneda
import category_theory.limits.preserves.shapes.equalizers
... |
a949f0e73e7c87ba061ade244f1fa4d3b8234b4a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/dedekind_domain/ideal.lean | 78f6e62740ad2df0fd7bf1c40107f90fa95a4fc4 | [
"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 | 58,182 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import algebra.algebra.subalgebra.pointwise
import algebraic_geometry.prime_spectrum.noetherian
import order.hom.basic
import ring_... |
b71b22eeed197db05013044c73a3d2be8880b2a6 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Scopes.lean | ca2cda91a4cd76f5da16b95d876e8885af7cd8c3 | [
"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 | 3,715 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Environment
namespace Lean
/- Scope management
TODO: delete after we delete parser implemented in C++.
We have decided to store ... |
a0778929bbc3bfad771c9a380ab3f4622ea4f551 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sheaves/skyscraper.lean | c02f854b23030058b7e6a50d4914f14ff07c3e74 | [
"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 | 17,736 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Junyan Xu
-/
import topology.sheaves.punit
import topology.sheaves.stalks
import topology.sheaves.functors
/-!
# Skyscraper (pre)sheaves
A skyscraper (pre)sheaf `𝓕 : (pr... |
d6af4bb1ae59b981f35e94f5b2bf97aa5c9603c9 | dc253be9829b840f15d96d986e0c13520b085033 | /algebra/seq_colim.hlean | 88d98b813da6f928a40994787178df85fbed730c | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 3,939 | hlean | --Authors: Robert Rose, Liz Vidaurre
import .direct_sum ..move_to_lib
open eq algebra is_trunc set_quotient relation sigma prod sum list trunc function equiv sigma.ops nat
namespace group
section
parameters (A : ℕ → AbGroup) (f : Πi , A i →g A (i + 1))
variables {A' : AbGroup}
definition seq_colim_c... |
ab7d33370a398923d6eb805839ede4d14f8337a8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/number_theory/padics/ring_homs.lean | b07dfdc5ef4dff7c0f3447f6d9edc239938c39c3 | [
"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 | 24,377 | lean | /-
Copyright (c) 2020 Johan Commelin, Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.zmod.basic
import number_theory.padics.padic_integers
/-!
# Relating `ℤ_[p]` to `zmod (p ^ n)`
In this file we estab... |
bc0adb6841414b8fe3e673f97a01be4c7b8f4760 | cfdac20f65ed6246e5fc7ce58637507f8945f419 | /library/data/set/basic.lean | c0c4f75f3f7f19cd271d5f1b859621da79f68b6c | [
"Apache-2.0"
] | permissive | anandadalton/lean | 8623b101ed898c8f4a7a161abd6f8e08d7db57c2 | 37b1e9163d069d12fb4a46b8d3ccfc3081aca645 | refs/heads/master | 1,647,253,997,156 | 1,461,883,971,000 | 1,461,883,971,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,195 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Leonardo de Moura
-/
import logic.connectives logic.identities algebra.binary
open eq.ops binary function
definition set (X : Type) := X → Prop
namespace set
variable {... |
0401f8d968bae741933b608eeb00f0a9864a70f6 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inlineIfReduceLCNF.lean | 78b4343567fa764260209b877aaec082319daf80 | [
"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 | 141 | lean | import Lean
def f (x y z : Nat) : Array Nat :=
#[x, y, z, y, x]
set_option trace.Compiler.result true
#eval Lean.Compiler.compile #[``f]
|
549602c4ab77d73b8513382446de732ac52918bd | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/cardinality/countable_inj.lean | 53fe8bad40e38e0bb6ef196b397025d1f2b20e69 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 917 | lean | import data.real.basic
import topology.basic
open function
open set
namespace xena -- hide
/-
# Chapter 7 : Cardinality
## Level 3
A classical result about countable sets.
-/
/- Lemma
If $f : X \to Y$ is an injective function and $Y$ is countable, then
$X$ is also countable.
-/
theorem countable_inj (X Y : set ℝ) ... |
10884a64b22e707410a975b7d5cb6518343f87b7 | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Init/Meta.lean | 9f91448da8233e2c3cedab76859af2d3510454e5 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,981 | 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 and Sebastian Ullrich
Additional goodies for writing macros
-/
prelude
import Init.Data.Array.Basic
namespace Lean
@[extern c inline "lean_box(LEAN_VERSION_... |
467ee8d0e156888c4002bafc002db539b57d9c91 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/order/complete_lattice.lean | 2dcc1a58df0afb0d60cef2742eca32970a0ce92d | [
"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 | 43,625 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.bounds
/-!
# Theory of complete lattices
## Main definitions
* `Sup` and `Inf` are the supremum and the infimum of a set;
* `supr (f : ι → α)` and `in... |
3f9c6d593c516eca8e7542534c2e0c808ac2f8b9 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/integral/vitali_caratheodory.lean | ee826838287605267bfceef48501bc12744ff749 | [
"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 | 29,686 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.measure.regular
import topology.semicontinuous
import measure_theory.integral.bochner
import topology.instances.ereal
/-!
# Vitali-Carat... |
af80676e8bce34dba03f127ed947d1cffdd551ae | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/analysis/special_functions/trigonometric.lean | 6178b4b64cbbc1f0423a53bf3e3d0845c1623a94 | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65,903 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import analysis.special_functions.exp_log
/-!
# Trigonometric functions
## Main definitions
This file contains the foll... |
7edac558076d4406a097eafbabb6bc6baea9a7ca | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/ParserCompiler.lean | 492bd24bc45d8382edc2f188b27c3a646ad6c15b | [
"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 | 7,749 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.Meta.ReduceEval
import Lean.KeyedDeclsAttribute
import Lean.ParserCompiler.Attribute
import Lean.Parser.Extension
/-!
Gadgets for compiling parser ... |
621a0f193db83b47163a8469866c34f9253f3842 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/subgroup/basic.lean | e8ca3cddd747b203d90b4294f4214ca35d8e37cd | [
"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 | 98,211 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import group_theory.submonoid.pointwise
import group_theory.submonoid.membership
import group_theory.submonoid.center
import algebra.group.conj
import order.atoms
/-!
# Su... |
b89954ff2889eeaf35c25acbc9c5fb4d0e1f7df1 | 217bb195841a8be2d1b4edd2084d6b69ccd62f50 | /library/init/data/rbmap/basic.lean | cf0258d066c49ef3f26e9487be852ee0b4f166a2 | [
"Apache-2.0"
] | permissive | frank-lesser/lean4 | 717f56c9bacd5bf3a67542d2f5cea721d4743a30 | 79e2abe33f73162f773ea731265e456dbfe822f9 | refs/heads/master | 1,589,741,267,933 | 1,556,424,200,000 | 1,556,424,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,306 | 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.data.repr init.data.option.basic
universes u v w w'
inductive Rbcolor
| red | black
inductive RBNode (α : Type u) (β : α → Type v)
| ... |
9df76360c0c8347a01b55e0b9613db2d5fac0c20 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/category_theory/instances/monoids.lean | 4158f7fe1da02e25dedef50129a074c2c96579af | [
"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 | 1,741 | lean | /- Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
Introduce Mon -- the category of monoids.
Currently only the basic setup.
-/
import category_theory.concrete_category
import category_theory.fully_faithful
import cat... |
5a5bcefa56e5fdab6f23ecfe550a17fb01482421 | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2020/relations/equiv_partition.lean | 20ecb746667e41dfe0207cb62aa37e533523b8d8 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 4,894 | lean | import tactic
import data.setoid.partition
--#check setoid.partition.rel_iso
open setoid
variable (α : Type)
-- mathlib has this function already.
/-
def classes (r : setoid α) : set (set α) :=
{s | ∃ y, s = {x | r.rel x y}}
-/
-- set_option pp.notation false
example : {p : set (set α) // is_partition p} ≃
set... |
7172f03dce98a9d457964ff2f841239cada1f878 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /algebra/lattice/complete_boolean_algebra.lean | 8de16a86a1434afef0458fde81cbab54f5cf0cf6 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 2,132 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of complete Boolean algebras.
-/
import .complete_lattice .boolean_algebra data.set.basic
set_option old_structure_cmd true
universes u v w
variables {α : Type... |
7254e96b99721fbb57b1c4e9458019e8b53157ce | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Tactic/Match.lean | a2eb3c86f71168939962a5f520091c7f91c86522 | [
"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 | 2,370 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Term
import Lean.Elab.Match
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.Induction
namespace Lean.Elab.Tactic
open Meta
open T... |
fe2d717c113ee2d51588d570d783547d98ebcb5f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/simple_graph/partition.lean | 840ae22c4ee4c64abb548a280b3a8f9630b4364a | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,216 | lean | /-
Copyright (c) 2021 Arthur Paulino. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arthur Paulino, Kyle Miller
-/
import combinatorics.simple_graph.coloring
/-!
# Graph partitions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
490f87f9e93428f2a4166e8a438a4eb8a3e2cd81 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rat/floor.lean | 40182da92fe3389ca1892a7583c4993407da69b8 | [] | 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 | 2,122 | 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, Kevin Kappelmann
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.floor
import Mathlib.tactic.field_simp
import Mat... |
b277487bc5dd41c6c418b2256e239c2378cac8b9 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Data/Lsp/Diagnostics.lean | a22bb4cd055b70384bd873bbc1d35dd21f9a3880 | [
"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 | 3,962 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.Json
import Lean.Data.Lsp.Basic
import Lean.Data.Lsp.Utf16
import Lean.Message
/-! Definitions and functionality for emitting dia... |
d8b38bf956a42299556d90f3ad8dc61398a685ff | e06332abb44b4720a102c91b393254505e242022 | /chapter1.hlean | 39296d8f55b0a376e2ed80a11e898b20800b7a6e | [
"Apache-2.0",
"LicenseRef-scancode-unknown-license-reference"
] | permissive | 11Kilobytes/hott-exercises-lean | 69501ee7fef64cb8669384d4356d43941c75a702 | a859755be688d3f22f14fbdfa35f5f5c32c438d3 | refs/heads/master | 1,611,265,681,636 | 1,455,643,818,000 | 1,455,643,818,000 | 48,048,788 | 1 | 1 | null | 1,455,643,819,000 | 1,450,190,626,000 | Lean | UTF-8 | Lean | false | false | 15,081 | hlean | -- Copyright 2015 Kabelo Moiloa
-- Licensed under the Apache License, Version 2.0 (the "License");
-- you may not use this file except in compliance with the License.
-- You may obtain a copy of the License at
-- http://www.apache.org/licenses/LICENSE-2.0
-- Unless required by applicable law or agreed to in writing,... |
acf3cff3731cbee04170e323cb95aed7e3da047c | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex22.lean | 74f6c4efc599ea98a5fcdc8c73003639f418e07e | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 329 | lean | namespace hide
universe variable u
constant list : Type u → Type u
constant cons : Π A : Type u, A → list A → list A
constant nil : Π A : Type u, list A
constant head : Π A : Type u, list A → A
constant tail : Π A : Type u, list A → list A
constant append : Π A : Type u, list A → list A → list A
end hide
|
0d143238407b64666a0721fdef41729503408d1a | be853a09b5de8ba4d9114bd8a816647b584d4573 | /src/submissions/practice_2.lean | a72c67d9246ebe831a3b7882e5258854782f8677 | [] | no_license | sgoldberg02/cs2120f21mycopy | 4a665a92c5dcbb5b35be5461c42268c74366e3fa | 216fa0a813508d82594ac95aec0a048249f81291 | refs/heads/main | 1,692,136,103,389 | 1,632,328,880,000 | 1,632,328,880,000 | 405,192,256 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,954 | lean | /-
Prove the following simple logical conjectures.
Give a formal and an English proof of each one.
Your English language proofs should be complete
in the sense that they identify all the axioms
and/or theorems that you use.
-/
example : true := true.intro
-- example : false := _ -- trick question? why?
example : ∀... |
132be342f5d5aa7af357af3cb56ac160ca154780 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/expr_maps.lean | 7f10f3c69e11e9b41e5cdf664d7e48366364d22b | [
"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 | 2,931 | lean | import Lean.Expr
open Lean
def exprType : Expr := mkSort levelOne
def biDef := BinderInfo.default
def exprNat := mkConst `Nat []
-- Type -> Type
def TypeArrowType := mkForall `α biDef exprType exprType
-- Type -> Type
def TypeArrowType2 := mkForall `β biDef exprType exprType
-- fun (x : Nat) => x... |
92c7654055f57f9f9696827668f9bda01098b23b | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/system/io.lean | a21992dde37f13f8406257de8a8daa2baf664cf0 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 9,114 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch and Leonardo de Moura
-/
import system.io_interface
/- The following constants have a builtin implementation -/
constant io_core : Type → Type → Type
... |
5a9b768693ac897b8bc505b6f69a26b928442418 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Init/Control.lean | d2aa8404f894f7ccd13744f40275a4481fc962b8 | [
"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 | 606 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Applicative
import Init.Control.Functor
import Init.Control.Alternative
import Init.Control.Monad
import Init.Control.MonadLift
... |
cb4d1cf88e3c8c152b540d4071d9b479edac60b8 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Deriving/Hashable.lean | b1b57872973fa7b3a3122eaa3d89101ff994b461 | [
"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 | 3,592 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dany Fabian
-/
import Lean.Meta.Inductive
import Lean.Elab.Deriving.Basic
import Lean.Elab.Deriving.Util
namespace Lean.Elab.Deriving.Hashable
open Command
open Lean.Parser.Ter... |
b71b85f4cbb35651d02253481e0f5fa1119f5ed8 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/meta/async_tactic.lean | e4bde39410996f4f3d848a299bd0990794b034a2 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,851 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import init.meta.tactic
import init.meta.interactive
namespace tactic
private meta def report {α} (s : tactic_state) : option (unit → format) → α
| (some fmt)... |
44d725b7b9bff12581797345eaa3e78e212194d9 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/support.lean | d30faeb371face200960dff3708f66f27eae3aec | [
"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 | 10,866 | 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.basic
import algebra.group.prod
import algebra.group.pi
import algebra.module.pi
/-!
# Sup... |
6e3440b7746c9b0e9e930a4639e0d83f74f9d2b3 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/linear_algebra/affine_space.lean | 7d9b73c94ddd32b034bba9b188f3fd8f46196dc3 | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 29,968 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import algebra.add_torsor
import linear_algebra.basis
noncomputable theory
open_locale big_operators
/-!
# Affine spaces
This file defines affine spaces (over modules)... |
963ab3c506b810b62b759dd06d97d015e736d35f | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/complex/basic.lean | d07602c2ed40066934944667eb2fa3154c8c4920 | [
"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 | 7,565 | lean | /-
Copyright (c) Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.complex.module
import data.complex.is_R_or_C
/-!
# Normed space structure on `ℂ`.
This file gathers basic facts on complex numbers of an analytic natur... |
c13551715516f00614c9155d61f7d4e10e5b6511 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/meta/expr.lean | 39a8489c5168ba3e6dcc09dbebd41cc759827706 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 37,507 | lean | /-
Copyright (c) 2019 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek, Robert Y. Lewis
-/
import data.string.defs
import tactic.derive_inhabited
/-!
# Additional operations on expr and related typ... |
a9fe72217bbbcf900dcb6ef0d791e08dcf562805 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/Pointed1Magma.lean | 65f3a1a6811fb0b5da38889197c3ee4708b54a1d | [] | 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 | 6,710 | 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 Pointed1Magma
structure Pointed1Magma (A : Type) : Type :=
(one : A)
(op : (A → (A → A)))
open Pointed1Magma
structure Sig (AS : Type) : Type :=
... |
4cee14bef893d30a196eb75591cf2b12c33775ae | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/small.lean | b54426e440b757f41ab4604ebfb45ec9f5c93cef | [
"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 | 5,079 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.vector.basic
/-!
# Small types
A type is `w`-small if there exists an equivalence to some `S : Type w`.
We provide a noncomputable model `shrink α : Ty... |
fb75436bb1158312e2ac7b867aba86bffec8d476 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/field_theory/minpoly.lean | e3dac9b2afe7fd53f4244ecca18c7590f4f06f5f | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 16,414 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import data.polynomial.field_division
import ring_theory.integral_closure
import ring_theory.polynomial.gauss_lemma
/-!
# Minimal polynomials
This file ... |
a45db1440bea6166d38ac3328b537cf125542140 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/real/ennreal.lean | b4e1ff1784b767a67a4aadcf3cb944484bdb2d2d | [
"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 | 57,274 | 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 = ℝ≥0∞ := with_no ℝ≥0` to be the type of exte... |
14fe98eda1bb4bddcea2d264e8f0c3e67195925b | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib.lean | ffae689b03f9af9314dfa1b50b4ea275af546238 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,750 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
import Mathport.Syntax.Translate.Tactic.Lean3
import Mathport.Syntax.Translate.Tactic.Mathlib.Alias
import Mathpo... |
24be274663566867a4ac9cdd7122cd89118bd7e7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/stalks.lean | ce1bcf0f929dbb4320b05ef01c6325a7def97e57 | [
"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 | 8,586 | 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 algebraic_geometry.presheafed_space
import category_theory.limits.final
import topology.sheaves.stalks
/-!
# Stalks for presheaved spaces
This file lifts con... |
ab748b16137f00ca3c219ed7244a0b8f901e1553 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/ring_theory/principal_ideal_domain.lean | 36f3ea7431beb49093f06ec756d9ffe54daab657 | [
"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 | 8,158 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes, Morenikeji Neri
-/
import ring_theory.noetherian
import ring_theory.unique_factorization_domain
/-!
# Principal ideal rings and principal ideal domains
A principal ideal ri... |
0948044923f646c48d8e35c48055b4ee81a1d567 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/matrix/notation.lean | 7e0bbc3a240114131ac3e1de9c239e362ccfd038 | [
"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 | 9,260 | 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 data.matrix.basic
import data.fin.vec_notation
/-!
# Matrix and vector notation
This file includes `simp` lemmas for applying operations in `data.matrix.basic` to ... |
93a5f11ca6fbd2ec6b1727188a0fcdd9a6968857 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/smt/prove.lean | 78498ea4f3184db1660f1df74425ac0993aa12b6 | [
"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 | 564 | lean | namespace smt
open tactic
private meta def collect_props : list expr → tactic (list expr)
| [] := return []
| (H :: Hs) := do
Eqs ← collect_props Hs,
Htype ← infer_type H >>= infer_type >>= whnf,
return $ if Htype = `(Prop) then (H :: Eqs) else Eqs
-- This tactic is just a placeholder, designed to be m... |
d72f94e4c7da7f4808a124db42d8a0d55518ad49 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/eraseSuffix.lean | c9478c98d0eef685c5d9534191298bcb56b1b267 | [
"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 | 364 | lean | example : (`foo.bla).eraseSuffix? `bla == some `foo := rfl
example : (`foo.bla).eraseSuffix? `boo == none := rfl
example : (`foo.bla).eraseSuffix? `foo.bla == some .anonymous := rfl
example : (`foo.bla.boo).eraseSuffix? `bla == none := rfl
example : (`foo.bla.boo).eraseSuffix? `boo == `foo.bla := rfl
example : (`foo.bl... |
b2a1705d3aad03ec37dbed425dea634faf3432c5 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/analysis/convex/topology.lean | ef7b352ec0b1f8c9853ea81fef37bfd755057654 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 7,616 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import analysis.convex.basic analysis.normed_space.finite_dimension
/-!
# Topological and metric properties of convex sets
We prove the follow... |
50770d6fb3a93325bd5c753d5264520437bd5cbc | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tmp/even_odd.lean | 852e0e5886ceac95a43673f4d1a03235e1ce98d0 | [
"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 | 705 | lean | import data.vector
open nat
universes u v
set_option trace.eqn_compiler.wf_rec true
set_option trace.debug.eqn_compiler.wf_rec true
set_option trace.debug.eqn_compiler.mutual true
mutual def even, odd
with even : nat → bool
| 0 := tt
| (a+1) := odd a
with odd : nat → bool
| 0 := ff
| (a+1) := even a
#eval ev... |
8764c1b8f111ff8b2ebeb94e0fda1b6b775cfd8f | 38aa1f7792ba7c73b43619c5d089e15d69cd32eb | /lamps_array.lean | 99fbc6cb8ff2da17182f0cdb93c18ea05162d831 | [] | no_license | mirefek/my-lean-experiments | f8ec3efa4013285b80cd45c219a7bc8b6294b8cc | 1218fecbf568669ac123256d430a151a900f67b3 | refs/heads/master | 1,679,449,694,211 | 1,616,190,468,000 | 1,616,190,468,000 | 154,370,734 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,273 | lean | import tactic
import tactic.norm_cast
import data.rat
import data.fintype
import data.real.basic
import data.nat.parity
noncomputable theory
open_locale classical
/--- problem statement ---/
def lamp_switch_seq (n k : ℕ) := array k (fin (n+n))
--local attribute [instance] classical.prop_decidable
instance (n k : ... |
ffd860d4d6767496339160b589b7e08407438c69 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed_space/star/complex.lean | 512dd0d99440f063d5fa04543ebb52107a8db948 | [
"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 | 2,446 | lean | /-
Copyright (c) 2022 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import analysis.normed_space.star.basic
import algebra.star.module
import analysis.complex.basic
/-!
# Complex normed star modules and algebras
Facts about star ... |
340df8c7a5b2f4c8ee2f1675f25ce3392c69dba0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/category/omega_complete_partial_order.lean | cd733cbbb7e2ea8bd7f8193fb47f68a74d147e7d | [] | 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 | 5,934 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.omega_complete_partial_order
import Mathlib.order.category.Preorder
import Mathlib.category_... |
76caf0a1920a29b5240bc22e8c776046a63fb085 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/asymptotics/asymptotic_equivalent.lean | e0dc4078fc0e500828469a5512f6b1ebaac41811 | [
"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 | 11,588 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.asymptotics.asymptotics
import analysis.normed.order.basic
/-!
# Asymptotic equivalence
In this file, we define the relation `is_equivalent l u ... |
f4a67bd8c0f84cb26fcf89a7213584178465a3ee | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/part.lean | deb48d93a9278b82ca98ebedb9a4ea6029d5d7df | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,104 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Jeremy Avigad, Simon Hudon
-/
import data.equiv.basic
/-!
# Partial values of a type
-/
/-- `part α` is the type of "partial values" of type `α`. It
is similar to `... |
1c68a8ee7c2abfa6d654a9d9d7c5b7230ab1912e | ebb7367fa8ab324601b5abf705720fd4cc0e8598 | /algebra/module.hlean | 7475fb7f4c8cb1f8883607a60a21a38b0d4231b8 | [
"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 | 3,294 | hlean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad
Modules prod vector spaces over a ring.
(We use "left_module," which is more precise, because "module" is a keyword.)
-/
import algebra.field
open a... |
8aa86f9db28380b5c200a7b9884d1d5056d9a5ed | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.24.lean | 5d0fe45ab3226f4612b47d137ceec8fb12cd9141 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 536 | lean | import standard
open nat
inductive foo [class] :=
mk : nat → nat → foo
definition foo.a [p : foo] : nat := foo.rec_on p (λ a b, a)
definition i1 [instance] [priority std.priority.default+10] : foo :=
foo.mk 1 1
definition i2 [instance] : foo :=
foo.mk 2 2
example : foo.a = 1 := rfl
definition i3 [instance] [prior... |
07bbac581c450137e92dfb1f20382e118dfa3fae | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/determinant.lean | c7a57875c72afe6b988469968b3fce935a6af1c8 | [
"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 | 26,059 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import linear_algebra.finite_dimensional
import linear_algebra.general_linear_group
import linear_algebra.matrix.reindex
imp... |
b4805f33b190e1ee6202ae46aa8b8ca9656ebb5b | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/clifford_algebra/even_equiv.lean | caf1ccefbe51964293800fe4f2c8865d7939ef97 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 11,306 | 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 linear_algebra.clifford_algebra.conjugation
import linear_algebra.clifford_algebra.even
import linear_algebra.quadratic_form.prod
/-!
# Isomorphisms with the even su... |
3e42c39281f85d4eecc0dd2644c430b2a7951bc0 | ef47cc39429c8f578004338bf040c9c309b26766 | /src/solutions/friday/manifolds.lean | d1813a54a59b71ee99f1650e16dcb9f359f0a59b | [] | no_license | farmanb/lftcm2020 | 29f1c646437a8f8b00ee2e07c8b663ca04bfa16f | 1948bfaf58e3b340b39cd9b8366aa4f13e5ffa7d | refs/heads/master | 1,669,697,152,764 | 1,595,275,412,000 | 1,595,275,412,000 | 285,654,242 | 0 | 0 | null | 1,596,742,086,000 | 1,596,742,085,000 | null | UTF-8 | Lean | false | false | 41,904 | lean | import for_mathlib.manifolds
noncomputable theory
open_locale manifold classical big_operators
open set
universe u
/-!
## Reminder on updating the exercises
These instructions are now available at:
https://leanprover-community.github.io/lftcm2020/exercises.html
To get a new copy of the exercises,
run the followi... |
b76e65d2be30f07e4555ec8275e753fe36d8df21 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/complex/real_deriv.lean | 8269ce29d863ed140259d36adfb6d468ba987070 | [
"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 | 7,483 | lean | /-
Copyright (c) Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yourong Zang
-/
import analysis.calculus.times_cont_diff
import analysis.complex.conformal
import analysis.calculus.conformal.normed_space
/-! # Real differentiabilit... |
465ba6a36c94e23585030e64b228471cd35aa198 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/analytic/composition.lean | eeeea5db90346c5c4fb5f7f5daf6bda740107a76 | [
"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 | 58,724 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johan Commelin
-/
import analysis.analytic.basic
import combinatorics.composition
/-!
# Composition of analytic functions
In this file we prove that the composi... |
89e1282e24f52add45eaf9e52126fa60b96bb1fe | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/category/Group/Z_Module_equivalence.lean | 57669afe8ed51db8d0b454c0661f98637fe2abeb | [
"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 | 1,329 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Module.basic
/-!
The forgetful functor from ℤ-modules to additive commutative groups is
an equivalence of categories.
TODO:
either use this ... |
2778a6a0fa15bdf33009d137854eecc1a345a2e9 | 1446f520c1db37e157b631385707cc28a17a595e | /tests/bench/rbmap_checkpoint.lean | f505c9eede9673f1f1706194472a5078a976f463 | [
"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 | 3,391 | 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.Data.Option.Basic
import Init.Data.List.BasicAux
import Init.System.IO
universes u v w w'
inductive color
| Red | Black
inductive Tre... |
f18a2a62c8d5e310d66e44bb8df9b45df29c9880 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/higherOrderFunctions/box_map.lean | 58d4146d45c6ed1608b884b703526357c2e36abf | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 205 | lean | universes u₁ u₂
structure box (α : Type u₁) : Type u₁ :=
mk :: (val : α)
def map_box
{α : Type u₁}
{β : Type u₂}
(f : α → β)
(b : box α) :
box β :=
box.mk (f b.val)
|
beb313e683a64c3f94cde5834f832e8e27099b34 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/data/part.lean | b33a99263f27f7a10d0dc0de1a603300e5851efb | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,217 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Jeremy Avigad, Simon Hudon
-/
import data.equiv.basic
/-!
# Partial values of a type
-/
/-- `part α` is the type of "partial values" of type `α`. It
is similar to `... |
80cac01349d6be216087899d0f3fe584ad6805b4 | 5e42295de7f5bcdf224b94603a8ec29b17c2d367 | /rat_additions.lean | dc01f241e8032b1003866297851610bcc8092c02 | [] | no_license | pnmadelaine/lean_polya | 9369e0d87dce773f91383bb58ac6fde0a00a1a40 | 1c62b0b3fa71044b0225ce28030627d251b08ebc | refs/heads/master | 1,590,161,172,243 | 1,515,010,019,000 | 1,515,010,019,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,956 | lean | import data.rat data.nat.gcd tactic.finish algebra.group_power
--meta instance : has_to_format ℤ := ⟨λ z, int.rec_on z (λ k, ↑k) (λ k, "-"++↑(k+1)++"")⟩
meta instance int.reflect : has_reflect int
| (int.of_nat n) :=
if n = 0 then unchecked_cast `(0 : int)
else if n = 1 then unchecked_cast `(1 :... |
aa760fde8faa2daa1df6bd6e4708f5caa437b5b8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/multiset/locally_finite.lean | 888f045dd029c569d72d8564941d9de0686e32d2 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,516 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.finset.locally_finite
/-!
# Intervals as multisets
This file provides basic results about all the `multiset.Ixx`, which are defined in
`order.locally_finite... |
45469a46f2b96aaba40ac5917d54352599d8d6f4 | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/category_theory/replete.lean | 312e8323a5b60bc1c9a806a2ecfdba3d4e7f80b0 | [
"Apache-2.0"
] | permissive | rwbarton/lean-homotopy-theory | cff499f24268d60e1c546e7c86c33f58c62888ed | 39e1b4ea1ed1b0eca2f68bc64162dde6a6396dee | refs/heads/lean-3.4.2 | 1,622,711,883,224 | 1,598,550,958,000 | 1,598,550,958,000 | 136,023,667 | 12 | 6 | Apache-2.0 | 1,573,187,573,000 | 1,528,116,262,000 | Lean | UTF-8 | Lean | false | false | 1,884 | lean | import category_theory.base
import category_theory.isomorphism
open category_theory
open category_theory.category
local notation f ` ∘ `:80 g:80 := g ≫ f
universes v u
namespace category_theory
variables (C : Type u) [category.{v} C]
class wide_subcategory (D : Π {a b : C}, (a ⟶ b) → Prop) : Prop :=
(mem_id {} : ∀... |
e09976b05c429d947f013ffd89a5fb17bf464d35 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/wlog.lean | b51c0960a5451fa1a0ea8f523080291bc7c0a1af | [
"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 | 9,426 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Without loss of generality tactic.
-/
import tactic.tauto
import data.list.perm
open expr tactic lean lean.parser
local postfix `?`:9001 := optional
local postfix *:9... |
4802994c1f10512a739093cd8a39f7036064a273 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /category_theory/examples/topological_spaces.lean | 00ce5dc816e99d74e59e7b845c8e0131971cdfae | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,119 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Patrick Massot, Scott Morrison, Mario Carneiro
import category_theory.full_subcategory
import category_theory.functor_category
import category_theory.natural_isomorphism
import ... |
901125157e1de630b9fbf403abfb77ca99337c85 | abd85493667895c57a7507870867b28124b3998f | /src/topology/instances/ennreal.lean | c4e66c879cf56a08833949cd0b134844399d68b9 | [
"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 | 38,698 | 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... |
755f9b6507375e82c384c3b8ae13f943ffe0b377 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/ref2.lean | cfee291ac82833decb23fdc87cbc112c8e1e32da | [
"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 | 278 | lean | def initX : IO (IO.Ref Nat) :=
IO.mkRef 0
@[init initX] constant x : IO.Ref Nat := default _
def inc : IO Unit :=
do v ← x.get,
x.set (v+1),
IO.println (">> " ++ toString v)
def main (xs : List String) : IO Unit :=
do let n := xs.head.toNat,
n.mrepeat (λ _, inc)
|
dc42ff7d8d15a312858c24caf503684dfb7fd21a | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/sheaves/sheaf_condition/opens_le_cover.lean | 081f85a57a0bd29ac6b2c0d1349856933f5acaef | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 13,493 | 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.presheaf
import category_theory.limits.final
import topology.sheaves.sheaf_condition.pairwise_intersections
/-!
# Another version of the shea... |
ba98f49ff75f86986a3830d19916239b38c3d53e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/number_theory/wilson.lean | 3a6463cd1b53d9e62449b53a7bd50ec2de8627d9 | [
"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 | 1,675 | lean | /-
Copyright (c) 2022 John Nicol. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: John Nicol
-/
import number_theory.legendre_symbol.gauss_eisenstein_lemmas
/-!
# Wilson's theorem.
This file contains a proof of Wilson's theorem.
The heavy lifting is mostly done by th... |
ef356173911e05dc32b8180b95f6661cf091bf97 | 6065973b1fa7bbacba932011c9e2f32bf7bdd6c1 | /src/data/fin.lean | 34c158b28928c687873b5521cb1ded55bfdafafa | [
"Apache-2.0"
] | permissive | khmacdonald/mathlib | 90a0fa2222369fa69ed2fbfb841b74d2bdfd66cb | 3669cb35c578441812ad30fd967d21a94b6f387e | refs/heads/master | 1,675,863,801,090 | 1,609,761,876,000 | 1,609,761,876,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 50,584 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import data.nat.cast
import tactic.localized
import order.rel_iso
/-!
# The finite type with `n` elements
`fin n` is the type whose elements are natu... |
b177dbd15e56cada5964363d46fc67d57c4ba876 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/fintype/basic.lean | 2b04ef2da74dd346b902a1f7e3bafa675b08af72 | [
"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 | 51,877 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import tactic.wlog
import data.finset.powerset
import data.finset.lattice
import data.finset.pi
import data.array.lemmas
import order.well_founded
open... |
59d5e7be1b1314174968d8fa83ab486c5c56adb5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/Hashable.lean | 0b4e65bf067605685e95387ae303f854a1747e3c | [
"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 | 1,561 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.UInt.Basic
import Init.Data.String
universe u
instance : Hashable Nat where
hash n := UInt64.ofNat n
instance : Hashable String... |
b9ef8adbdc48c00d048023e836911c626772a2ea | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Elab/Tactic/Basic.lean | 8b3b9fc7d025358f9ca2a7bec07da57a37d9a37d | [
"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 | 17,028 | 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, Sebastian Ullrich
-/
import Lean.Util.CollectMVars
import Lean.Meta.Tactic.Assumption
import Lean.Meta.Tactic.Intro
import Lean.Meta.Tactic.Clear
import Lean.... |
34e6d904e2fe9c5985b20504444f963984317223 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/cardinal/ordinal.lean | 655c3a267b92c2b59a6694c64a5a93894943b8ac | [
"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 | 49,719 | 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.finsupp.multiset
import order.bounded
import set_theory.ordinal.principal
import tactic.linarith
/-!
# Cardinals and o... |
6ee7ed10519a6bf02f5ddb8debcd869ad1dc772d | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Eval.lean | 508d9c52a645e5f17ea9a9632a075bf4c5745899 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 1,155 | 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, Sebastian Ullrich
-/
prelude
import Init.Control.Reader
import Init.System.IO
import Init.Lean.Environment
namespace Lean
universe u
/-- `HasEval` extensio... |
0ef8ea267b647c2aa806cfbf668fae828892b4dd | fddcf4b659baa121761c71be606b3f74b86fa695 | /Formalization/test_lean.lean | 65d35078bb870d1112dbaeb208f34702aaaf9e70 | [] | no_license | swarnpriya/Lean | 4218df9392f396cd7e5e745de35a917536ebd2bb | a0a9978fd058041eb1a09aec0e2dd7d19a7436a7 | refs/heads/master | 1,595,831,634,399 | 1,568,673,127,000 | 1,568,673,127,000 | 208,903,604 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 688 | lean |
universe u
constant α : Type u
#check α
def foo : (ℕ → ℕ) → ℕ := λ f, f 0
#check foo
#print foo
def double (x : ℕ) : ℕ := x + x
#print double
#check double 3
#reduce double 3
def square (x : ℕ) : ℕ := x * x
#check square
#reduce square 3
constants p q : Prop
theorem t1 : p → q → p := λ hp : p, λ hq : q, hp
#p... |
1b94526dd8e90d63fa648d427c00c9d63fb51e03 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/set/intervals/basic.lean | 0b568e212fa5310a72417b943c64a7bdd920379d | [
"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 | 28,591 | 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
-/
import order.lattice algebra.order_functions algebra.ordered_field tactic.tauto
/-!
# Intervals
In any preorder `α... |
41826592a11c88c554a423e3ec5e86d8fb77660e | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category/bifunctor.lean | 91e103616b982ef11dd7eb5f54fbd21d5028f9b8 | [
"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 | 4,354 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Functors with two arguments
-/
import logic.function data.sum
category.basic category.functor
tactic.basic
universes u₀ u₁ u₂ v₀ v₁ v₂
open function
class bi... |
9ab9350f183984060508abc199b43eb84f1b82bf | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/linear_algebra/affine_space/affine_subspace.lean | 23cc0f3b1123067597c6b7474ff285b0ffba2519 | [
"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 | 45,973 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import data.set.intervals.unordered_interval
/-!
# Affine spaces
This file defines affine ... |
0c1145096a2924538c1f03a029ed7747e9efc5b2 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/metric_space/cau_seq_filter.lean | 1ecaab4fd90129c1e11f078cbe663c0c07dbaca5 | [
"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 | 19,717 | 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, Sébastien Gouëzel
Characterize completeness of metric spaces in terms of Cauchy sequences.
In particular, reconcile the filter notion of Cauchy-ness with the cau_seq ... |
47b10a3735a32e1087b4992824c03f8a304be05a | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/set/comm_semiring.lean | 7d4e5fc3117fa08ae27f63c7955023f2e28f1450 | [
"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 | 856 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
(set A) is an instance of a commutative semiring
-/
import data.set.basic algebra.ring
open set
definition set_comm_semiring [instance] (A : Type) : comm_semi... |
d64d3b4fc6b22377c9cdcb7ba1c91979cdd08076 | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world10/level16.lean | 9fe86658c4e638f937cfdb075b3ad83620e3d820 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 232 | lean | lemma lt_aux_two (a b : mynat) : succ a ≤ b → a ≤ b ∧ ¬ (b ≤ a) :=
begin
intro h,
split,
apply le_trans _ (succ a),
exact le_succ_self a,
exact h,
intro h2,
apply not_succ_le_self a,
exact le_trans (succ a) b a h h2,
end
|
10f6d7415859868a4a31497df14da2c84b3bd9b4 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/shapes/constructions/preserve_binary_products.lean | 84912f69bac7eab36a33ff91181ed7f2bba0077c | [
"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 | 3,445 | 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.limits
import category_theory.limits.preserves
import category_theory.limits.shapes.binary_products
/-!
Show that a functor `F : C ⥤ D` pre... |
f711bb748711d5c61ce4399afbd46ece6a960a53 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_310.lean | da35669870a0b65ed021225bcffb9882c8faa3a9 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 202 | lean | import data.set.basic
variable {α : Type*}
variables (s t u : set α)
-- BEGIN
example : s ∩ t = t ∩ s :=
set.ext $ λ x, ⟨λ ⟨xs, xt⟩, ⟨xt, xs⟩, λ ⟨xt, xs⟩, ⟨xs, xt⟩⟩
-- END |
e2dbee065db4353ab0ddc58519c9e4ffd064a2bd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/metric_space/gromov_hausdorff.lean | 4b71c30b5d6f000b8b91d9ce154c11253ddbf9c4 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,214 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.metric_space.closeds
import Mathlib.set_theory.cardinal
import Mathlib.topolo... |
411ac44edf1a3db933cbb715f59fc325acceef49 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/ind4.lean | 6933539063f43a3a3fc5e1d3e656f8602e76dea8 | [
"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 | 378 | lean | section
variable A : Type
inductive list : Type :=
| nil : list
| cons : A → list → list
end
check list.{1}
check list.cons.{1}
section
variable A : Type
inductive tree : Type :=
| node : A → forest → tree
with forest : Type :=
| fnil : forest
| fcons : tree → forest → forest
check tree
chec... |
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