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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3e80d8c0e82e6d4c9fdc71f1082cf604df5f8108 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/enat/lattice.lean | 887e933c7a73ce42c0c715bd2de713b7e0297236 | [
"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 | 502 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import data.nat.lattice
import data.enat.basic
/-!
# Extended natural numbers form a complete linear order
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
80e0864c3775c2f8d65755e2b56c2e2e5fe3316a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/natural_isomorphism.lean | c3f7d795d66638469cb2bfb65ca8b3f4162f4567 | [
"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 | 8,129 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.functor.category
import category_theory.isomorphism
/-!
# Natural isomorphisms
For the most pa... |
c58084ed3b98307637e5173239370cd46e9f92b0 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Parser/Extension.lean | 83554712ef34a512c3c459eb892bed836ac555e6 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,249 | 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.ScopedEnvExtension
import Lean.Parser.Basic
import Lean.Parser.StrInterpolation
import Lean.KeyedDeclsAttribute
/-! Extensib... |
14b78163bd218c36599fe7183aece2a24c83e2ec | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/algebra/lie_group.lean | f9a3408b9f97e5a8e98f589d7c570f60f9ae1570 | [
"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 | 6,026 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import geometry.manifold.algebra.monoid
/-!
# Lie groups
A Lie group is a group that is also a smooth manifold, in which the group operations of
multiplication a... |
d871269c3ab73e12c6734eeaffba5453fe38c42e | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world10/level05.lean | 96096f58bc7945654c4def5c866666859c1e4c53 | [] | 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 | 175 | lean | theorem le_trans (a b c : mynat) (hab : a ≤ b) (hbc : b ≤ c) : a ≤ c :=
begin
cases hab,
cases hbc,
use (hab_w + hbc_w),
rw ← add_assoc,
rw hbc_h,
rw hab_h,
refl,
end
|
060f1ec6be5b46b15338906b9ee5465d79b4b460 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/tactic/norm_cast.lean | d891d9556febf826e3f6132b375c272445ae7ab4 | [
"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 | 25,154 | lean | /-
Copyright (c) 2019 Paul-Nicolas Madelaine. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul-Nicolas Madelaine, Robert Y. Lewis
Normalizing casts inside expressions.
-/
import tactic.converter.interactive
import tactic.hint
/-!
# A tactic for normalizing casts i... |
db2fdcd9aafbec37b70df4d8308bfe9f423d2af7 | a8c03ed21a1bd6fc45901943b79dd6574ea3f0c2 | /splitting.lean | 1eb50df74249831c6e3df61bd296fec17ab06632 | [] | no_license | gebner/resolution.lean | 716c355fbb5204e5c4d0c5a7f3f3cc825892a2bf | c6fafe06fba1cfad73db68f2aa474b29fe892a2b | refs/heads/master | 1,601,111,444,528 | 1,475,256,701,000 | 1,475,256,701,000 | 67,711,151 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,744 | lean | import prover_state
open monad
meta def extract_assertions : clause → resolution_prover (clause × list expr) | c :=
if c↣num_lits = 0 then return (c, [])
else if c↣num_quants ≠ 0 then do
qf : clause × list expr ← ↑(c↣open_constn c↣num_quants),
qf_wo_as ← extract_assertions qf↣1,
return (qf_wo_as↣1↣close_constn q... |
3d8b28ba1a662eb8243051932b18bba76c2b8d50 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.6.lean | e993a16ef2b68304e96fe0ce6cf40ac1f9d06433 | [] | 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 | 630 | lean | import standard
structure Semigroup : Type :=
(carrier : Type)
(mul : carrier → carrier → carrier)
(mul_assoc : ∀ a b c : carrier, mul (mul a b) c = mul a (mul b c))
notation a `*` b := Semigroup.mul _ a b
attribute Semigroup.carrier [coercion]
structure morphism (S1 S2 : Semigroup) : Type :=
(mor : S1 → S2)
(resp_m... |
eb8fad0dc26c4c43729520117d05092af017ae95 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/limits/types.lean | 7d03057dbdfe2a1105ed8cd5d16113f020c72311 | [
"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 | 5,359 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import category_theory.limits.shapes.images
universes v u -- declare the `v`'s first; see `category_theory.category` for an explanation
open category_t... |
0ba4ae4e5ec033cdbf1c1b99b126b20e7469aeb8 | 6bbefddc5d215af92ee0f41cafc343d0802aa6c8 | /02-hundred-squares.lean | 9f10d10555b32d7cf169a51f0bf533414a75d55a | [
"Unlicense"
] | permissive | bradheintz/lean-ex | 0dcfab24e31abd9394247353f4e7dfd06655b2e1 | 37419b8d014ba3ba416e2252809a89a1604a1330 | refs/heads/master | 1,645,696,373,325 | 1,503,243,879,000 | 1,503,243,879,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 347 | lean | import system.io
variable [io.interface]
open io nat
/-
print square of every integer from n to 0
-/
def print_squares : ℕ → io unit
| 0 := return ()
| (succ n) := print_squares n >>
put_str (nat.to_string n ++ "^2 = " ++ nat.to_string (n * n)
++ "\n")
#eval print_squares 32
#prin... |
12cefe91c0c131b2c7aaef74a6946d9f07871034 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/function/ae_eq_of_integral.lean | b847808f2a0ceda7b7aec3119387c0b8ee72718e | [
"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 | 29,195 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import analysis.normed_space.dual
import measure_theory.function.strongly_measurable.lp
import measure_theory.integral.set_integral
/-! # From equality of integrals to ... |
936ae998267a1a199e8cf84f4ab0db1dfd6ce1c3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/bad_inaccessible2.lean | f288ddeb146837ed389e12d54b3a62547745e47f | [
"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 | 1,110 | lean | universe variables u
inductive vec (A : Type u) : nat → Type (max 1 u)
| nil {} : vec 0
| cons : Π {n}, A → vec n → vec (n+1)
open vec
variables {A : Type u}
variables f : A → A → A
/- The following definition fails because the pattern variables are
introduced in the following order:
a va n b vb
How... |
6dc1231de1d10009dc1eb3eab2593e55b37428f6 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.15.lean | 8e6c03020660a0453e4d03fb776687b6de539575 | [] | 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 | 386 | lean | /- page 19 -/
import standard
constants A B C : Type
constants (a : A) (f : A → B) (g : B → C) (h : A → A)
definition gfa : C := g (f a)
check gfa -- C
print gfa -- g (f a)
-- We can omit the type when Lean can figure it out.
definition gfa' := g (f a)
print gfa'
definition gfha := g (f (h a))
print gfha
de... |
1e271b2845b66510f4d81246b15a40424322afac | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/simp.lean | 24819fa8c919c0ce03816047cf65320a77b6024a | [
"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 | 613 | lean | variable f : Nat → Nat
variable g : Nat → Nat → Nat
rewrite_set fgrules
axiom Axf1 : ∀ x, f (f x) = x
add_rewrite Axf1 : fgrules
axiom Axfg : ∀ x, g x x = x
add_rewrite Axfg : fgrules
variables a b : Nat
print rewrite_set fgrules
(*
local t = parse_lean('g a (f (f a))')
print(simplify(t, {'fgrules'}))
*)
disable_... |
d1e69728b58220ddc6f5ba6b969883b36f3422a4 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/control/uliftable.lean | 93f557cd31b4d5fdfec46c771132690b45717b57 | [
"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 | 5,579 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import control.monad.basic
import control.monad.cont
import control.monad.writer
import data.equiv.basic
import tactic.interactive
/-!
# Universe lifting for type famili... |
bc72283b592c7dfc3a49d1630a95243620f33c65 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/noncomputable_example.lean | fad39ea5009639498db757f19e5545bcd248210b | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 196 | lean | open classical psum
universe variable u
noncomputable example (A : Type u) (h : (A → false) → false) : A :=
match type_decidable A with
| (inl ha) := ha
| (inr hna) := false.rec _ (h hna)
end
|
2ee37b0beb574b3fc7d84202f7b91ec7201e6d21 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/clifford_algebra/even_equiv.lean | c16e72cfe02b9dc339538eef332ac46665ddc85e | [
"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 | 11,299 | 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... |
2124ad524bb7ab1a7d7ce8b198656e09b19798f1 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/tactic.lean | fc9e47d7b13576ff253cd0a432d6b5fff97a585d | [
"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 | 4,068 | lean | /-
Copyright (c) 2020 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import tactic.auto_cases
import tactic.tidy
import tactic.with_local_reducibility
import tactic.show_term
import topology.basic
/-!
# Tactics for topology
Currently we hav... |
308557b71861bf9cc6954b9203a7f6ae18143ae8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/group_action/option.lean | 9afd75f5ee9cc3eaf2a18b6003ca5cec6dcf6b22 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,127 | 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 group_theory.group_action.defs
/-!
# Option instances for additive and multiplicative actions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this fi... |
59c49042a81ef5643e318a1e3dc12df097c7d1d7 | 60bf3fa4185ec5075eaea4384181bfbc7e1dc319 | /src/game/sup_inf/lub_rationals.lean | 4212ddd1b99b185909b13a3799a6deec28baa618 | [
"Apache-2.0"
] | permissive | anrddh/real-number-game | 660f1127d03a78fd35986c771d65c3132c5f4025 | c708c4e02ec306c657e1ea67862177490db041b0 | refs/heads/master | 1,668,214,277,092 | 1,593,105,075,000 | 1,593,105,075,000 | 264,269,218 | 0 | 0 | null | 1,589,567,264,000 | 1,589,567,264,000 | null | UTF-8 | Lean | false | false | 940 | lean | import data.real.basic
namespace xena -- hide
/-
# Chapter 3 : Sup and Inf
## Level 11
-/
definition is_upper_bound (S : set ℝ) (x : ℝ) := ∀ s ∈ S, s ≤ x
definition is_lub' (S : set ℝ) (x : ℝ) := is_upper_bound S x ∧
∀ y : ℝ, is_upper_bound S y → x ≤ y
definition has_lub (S : set ℝ) := ∃ x, is_lub' S x
def e... |
c33d277f7a92fd4120e8786e1d30491c1fda88a6 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /library/data/num.lean | 01f68a9bb9e551a28f8950719abfcd330baa7a7b | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,059 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.num
Author: Leonardo de Moura
-/
import logic.eq
open bool
namespace pos_num
theorem succ_not_is_one (a : pos_num) : is_one (succ a) = ff :=
induction_on a rfl (take ... |
91a0a1ef37d894c399e9896e2f7907d967ee7bb8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/bicategory/coherence.lean | 9cf7ea46cddf73fe2aee7f4540f02648b92918ca | [
"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 | 9,235 | lean | /-
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno, Junyan Xu
-/
import category_theory.path_category
import category_theory.functor.fully_faithful
import category_theory.bicategory.free
import category_theory.bicategory.local... |
7c572118623f44c5b76c5a6dbfdae75a411d3f53 | 11d98f23718b57e0a9dd4c0889d2c1e37ced2afa | /lean/effects.lean | c46a07f73e23c7c0d23d36d0df41addd0a0add07 | [] | no_license | ulidtko/exe | 401805a37bba87e16b78f1ff923fffef383e31fa | 2a326f233895bc46ae48c559da3ded1b0481232f | refs/heads/master | 1,611,519,189,455 | 1,452,174,370,000 | 1,452,174,409,000 | 49,207,131 | 0 | 0 | null | 1,452,174,448,000 | 1,452,174,447,000 | null | UTF-8 | Lean | false | false | 626 | lean |
import data.nat data.bool data.prod data.list data.sum data.stream
data.unit data.uprod data.tuple data.option
namespace effects open nat bool prod sum list classical option stream
record eff (x: Type) := (carrier : x)
record io (x: Type) extends eff x :=... |
88088c51a1ef6d17f1803cafbdff07b9be600c85 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/perm/support.lean | f7a3eac9fe4dc17c82741a50cc1ae3f5947f2d86 | [
"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 | 20,231 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Aaron Anderson, Yakov Pechersky
-/
import data.finset.sort
import data.fintype.basic
import group_theory.perm.basic
/-!
# Support of a permutation
## Main definitions
In... |
ea6e34956eafdf8c745bf8cb38b0b6ac5875ce40 | 36cfb52a5926b96dc8a44d3b71d2f14a21ef8574 | /sort.lean | a2196b4ba2c96373d77d6568e3ac30ae53e5da98 | [] | no_license | minchaowu/relevance_filter | b46e3cc166b8225b19fac61b8f9911eeecdd42d8 | 3ae59d297ed5a07bd14749112e520b74209f10fd | refs/heads/master | 1,631,071,413,821 | 1,507,745,131,000 | 1,507,745,131,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,724 | lean | /-
Sorting on arrays.
-/
section quicksort
variables {α : Type} [inhabited α]
(op : α → α → bool)
local infix `<` := op
variable [has_to_format α]
meta def swap {n : ℕ} (A : array α n) (i j : ℕ) : array α n :=
let tmp_j := A.read' j,
tmp_i := A.read' i in
(A.write' j tmp_i).write' i tmp_j
... |
176cee64a1affec74e5ff2b54a07b4a4975dcd86 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/module/ulift.lean | c75da83edbf521b417493bf70ae204db26423a66 | [
"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 | 4,372 | 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.ring.ulift
import algebra.module.equiv
/-!
# `ulift` instances for module and multiplicative actions
This file defines instances for module, mul_acti... |
751891fde7e8846a07c4a7be128a3fa614efae9f | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/topology/algebra/group.lean | 8910c2c5a400793db0e0522548e9160660e9f90c | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,141 | 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
-/
import order.filter.pointwise
import group_theory.quotient_group
import topology.algebra.monoid
import topology.homeomorph
/-!
# The... |
eaa3484573558a044038b337f339414f7dcceaa0 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/src/limits.lean | 71655057cd726af1fd2375d86d40e4b343f810ec | [] | 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 | 438 | lean | import category_theory.limits.shapes
open category_theory category_theory.category category_theory.limits
universes u v
variables {C : Type u} [𝒞 : category.{v} C]
variables {J : Type v} [small_category J]
include 𝒞
@[simp] lemma limit.lift_self_id (F : J ⥤ C) [has_limit F] :
limit.lift F (limit.cone F) = 𝟙 (li... |
c4c83a4edfaf032a4751b48b758eaf04ea3e1789 | 01f6b345a06ece970e589d4bbc68ee8b9b2cf58a | /src/ring_seminorm.lean | bd8d44e7bdffc9406a97fba20954f473a9ae9e41 | [] | no_license | mariainesdff/norm_extensions_journal_submission | 6077acb98a7200de4553e653d81d54fb5d2314c8 | d396130660935464fbc683f9aaf37fff8a890baa | refs/heads/master | 1,686,685,693,347 | 1,684,065,115,000 | 1,684,065,115,000 | 603,823,641 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,168 | lean | /-
Copyright (c) 2023 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import analysis.normed.ring.seminorm
import analysis.seminorm
/-!
# Nonarchimedean ring seminorms and algebra norms
In this file, we... |
58f1ef33b3502d38de22d1dd427f2bb09aa34f94 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/data/zmod/basic.lean | 643904952168dfc6c6d6f751239f41383179b359 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 21,640 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.int.modeq data.int.gcd data.fintype.basic data.pnat.basic tactic.ring
/-!
# Integers mod `n`
Definition of the integers mod n, and the field structure on th... |
39d905529bd3e4c78705075a6819b16a452f5750 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/fgModule/limits.lean | 6c02caa86c10039dd142afa9c06105f5c80e32c2 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,031 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.fgModule.basic
import algebra.category.Module.limits
import algebra.category.Module.products
import algebra.category.Module.epi_mono
import ca... |
f8d524d261703f6dcfb512da6431fec609f7feb8 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/isDefEqCheckAssignmentBug.lean | 8d33cc220a5882993d2de9793e88871ab9a5870e | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 828 | lean | import Lean
open Lean
open Lean.Meta
def f (x : Type) := x
def tst : MetaM Unit := do
let m1 ← mkFreshExprMVar none
withLocalDeclD `x m1 fun x => do
trace[Meta.debug] "{x} : {← inferType x}"
trace[Meta.debug] "{m1} : {← inferType m1}"
let m2 ← mkFreshExprMVar (mkSort levelOne)
let t ← mkAppM ``f... |
4f89c768fa4e359fbd2cc3ce2285c8fa48f160d6 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/combinatorics/fibonacci.lean | 05e3e81b570885c1326784021f871e342c9f94fb | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,151 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This file defines Fibonacci numbers and their reductions mod `n`.
It was intended to make computation efficient, but does not
succeed very well. Some better approach... |
0b4cd14c439bc500d53f0d4f4d03e4ff953690b6 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/hit/quotient.hlean | 3f49a44b04f4a98a95d53a9833553e975611afe7 | [
"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 | 8,554 | 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
Quotients. This is a quotient without truncation for an arbitrary type-valued binary relation.
See also .set_quotient
-/
/-
The hit quotient is primitive, declar... |
c69392008608c630442537018ba3ae4a617cbac2 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/pnat/basic.lean | 87856d143cd1b473d4712545bbf0f3ffb22957ac | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,154 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Neil Strickland
-/
import data.nat.basic
/-!
# The positive natural numbers
This file defines the type `ℕ+` or `pnat`, the subtype of natural numbers that are p... |
59d6aa16342cbd28d8a0807129f7cf0ea9b4db81 | 618003631150032a5676f229d13a079ac875ff77 | /src/measure_theory/category/Meas.lean | 168195aea5b831779af6391ed539347d0fb4d2a0 | [
"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 | 4,031 | lean | /- Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.category.Top.basic
import measure_theory.giry_monad
import category_theory.monad.algebra
/-
* Meas, the category of measurable spaces
Measurable spa... |
4a06466253610062da9b1c7ddf133a8f83eddda3 | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Util.lean | 3b439978df83f88de43dae1ea8531c24ef56cd29 | [
"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 | 640 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Util.CollectFVars
import Init.Lean.Util.CollectLevelParams
import Init.Lean.Util.CollectMVars
import Init.Lean.Util.FindMVar
import... |
7263e9a7d146d3124bdcb4a39c328c4952d7dacc | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/RecAppSyntax.lean | f482029aad75a39c99328460808a134c231da916 | [
"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 | 829 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
private def recAppKey := `_recApp
/--
We store the syntax at recursive applications to be able to generate better error... |
d3b66b8f81aad0457d28350858803efe72fda76c | 2a73ce8bc0731b170b40e8c9faca9b49d34ba5c6 | /weak_convergence_of_measures.lean | eed91da296b79134e79b19174882b2571de61572 | [] | no_license | kkytola/lean-questions | f383016b7870432807d8f4ced256f7506a59b0ff | 9a7ded8036534575b682e28ddfed4c2f1089959d | refs/heads/main | 1,692,989,428,439 | 1,634,665,853,000 | 1,634,665,853,000 | 353,850,251 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,078 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import tactic
import weak_dual
import measure_theory.integral.bochner
noncomputable theory
open measure_theory
open set
open filter
open_locale topological_space bounde... |
a0eb8a288f05ef2a65ffda5045ce9d312639c734 | e5169dbb8b1bea3ec2a32737442bc91a4a94b46a | /library/data/set/basic.lean | 3c2710ac4016cc1ddade9ad39bea4fce38a28b68 | [
"Apache-2.0"
] | permissive | pazthor/lean | 733b775e3123f6bbd2c4f7ccb5b560b467b76800 | c923120db54276a22a75b12c69765765608a8e76 | refs/heads/master | 1,610,703,744,289 | 1,448,419,395,000 | 1,448,419,703,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,649 | 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
definition set (X : Type) := X → Prop
namespace set
variable {X : Type}... |
26534129cc0a64e99979b449320ba5122ffe4956 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_1037.lean | 4d6cec6ded407368955885e5f55affa53d0ae181 | [] | 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 | 612 | lean | import data.real.basic
-- BEGIN
example (x y z : ℝ) (h₀ : x ≤ y) (h₁ : y ≤ z) : x ≤ z :=
begin
apply le_trans,
{ apply h₀ },
apply h₁
end
example (x y z : ℝ) (h₀ : x ≤ y) (h₁ : y ≤ z) : x ≤ z :=
begin
apply le_trans h₀,
apply h₁
end
example (x y z : ℝ) (h₀ : x ≤ y) (h₁ : y ≤ z) : x ≤ z :=
by exact le_trans... |
c37834ed04b5bd5b5a054a07a4e7dce039025465 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/run/new_obtain4.lean | 0af8bac43ef3a98de762f6af6e4511ac95277248 | [
"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 | 447 | lean | import data.set
open set function eq.ops
variables {X Y Z : Type}
lemma image_compose (f : Y → X) (g : X → Y) (a : set X) : (f ∘ g) ' a = f ' (g ' a) :=
ext (take z,
iff.intro
(assume Hz,
obtain x Hx₁ Hx₂, from Hz,
by repeat (apply mem_image | assumption | reflexivity))
(assume Hz,
obtain ... |
4f5403d341d85c87e990261c4e32ef274371e05b | d9ed0fce1c218297bcba93e046cb4e79c83c3af8 | /library/init/category/functor.lean | d87680fc6d0ca9d9265ab114edb2e53d48395933 | [
"Apache-2.0"
] | permissive | leodemoura/lean_clone | 005c63aa892a6492f2d4741ee3c2cb07a6be9d7f | cc077554b584d39bab55c360bc12a6fe7957afe6 | refs/heads/master | 1,610,506,475,484 | 1,482,348,354,000 | 1,482,348,543,000 | 77,091,586 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 464 | lean | /-
Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson and Jared Roesch
-/
prelude
universe variables u v
class functor (f : Type u → Type v) : Type (max u+1 v) :=
(map : Π {a b : Type u}, (a → b) → f a → f b)
@[inli... |
41db0b1640b5ef188e3ff1e0ad0dc9562227626c | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/bases.lean | 1eb02bb44a141c3dd80efa9b8850877559bbfdb1 | [
"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 | 13,344 | 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
Bases of topologies. Countability axioms.
-/
import topology.continuous_on
open set filter classical
open_locale topological_space filter
noncomputable... |
89c2b9b19de256bff77bc302b3e81cedb7827ef3 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/DeclarationRange.lean | 1a8e7e369ce5fb49608ef2030f424dc181c3c8e3 | [
"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 | 2,510 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.MonadEnv
import Lean.AuxRecursor
import Lean.ToExpr
namespace Lean
/-- Store position information for declarations. -/
structure DeclarationRa... |
c99e3e5351b0840d2cce5a2e9fe63a70f4422a33 | a975e2962782fb953969766cc7133ba18aaa60c9 | /src/alc.lean | e5ce602f4a022379627d58fa9d08f12a79b37fb8 | [] | no_license | leodemoura/alc-lean | f3d3efa0f11b0a663ea74c74c10085212ba52295 | 6e3fce980ec3bb95aeda667062da86a45036fce9 | refs/heads/master | 1,678,082,711,848 | 1,612,907,314,000 | 1,612,907,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,873 | lean | import data.set
open set
namespace ALC
inductive Role (AtomicRole : Type) : Type
| Atomic : AtomicRole → Role
inductive Concept (AtomicConcept AtomicRole : Type) : Type
| TopConcept : Concept
| BottomConcept : Concept
| Atomic : AtomicConcept → Concept
| Negation : Concept → ... |
aaf3a33d2acad351c22765d984b2986e7cea8101 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/analysis/specific_limits.lean | 72b1360fa1665d57d8b192794b6381753900ef59 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 30,200 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
A collection of specific limit computations.
-/
import analysis.normed_space.basic
import algebra.geom_sum
import topology.instances.ennreal
import tactic.ring_exp
non... |
e21611189b05dff0e3a4d5ca5307d49e85cc5179 | 6329dd15b8fd567a4737f2dacd02bd0e8c4b3ae4 | /src/game/world1/level9.lean | 4fa87841f604bc69e6094ab2e6f984d0375cd581 | [
"Apache-2.0"
] | permissive | agusakov/mathematics_in_lean_game | 76e455a688a8826b05160c16c0490b9e3d39f071 | ad45fd42148f2203b973537adec7e8a48677ba2a | refs/heads/master | 1,666,147,402,274 | 1,592,119,137,000 | 1,592,119,137,000 | 272,111,226 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 564 | lean | import data.real.basic --imports the real numbers
import tactic.maths_in_lean_game -- hide
namespace calculating -- hide
/- Theorem : sub_self
-/
/-
#Calculating
## Level 9: Practice
For this problem, you can use the theorem `sub_self`,
where `sub_self a` is the identity `a - a = 0`.
-/
/- Lemma : no-side-bar
For... |
a9ac52920d1f27304286b366babf2bd912d7e462 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/erase_dup.lean | 38a4a9619905ca37ee78f27b4ffb0df379c825fc | [
"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 | 2,545 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.nodup
/-!
# Erasure of duplicates in a list
This file proves basic results about `list.erase_dup` (definition in `data.list.defs`).
`erase_dup l` r... |
26fbe08e304ff7637b68fd3c9ba53df5c0b27cdd | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/topology/homeomorph.lean | e9947077d9d8712b4c20225cfe7e0491f04672f6 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 7,203 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Sébastien Gouëzel, Zhouhang Zhou, Reid Barton
-/
import topology.dense_embedding
open set
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
/-- ... |
b3e1e449664e36b4460ea7c76b88cd84e72d8308 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/measure_theory/lp_space.lean | 96e32d70d2eb6a8f130aecb9b0fef2a3eccae5f7 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,655 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Rémy Degenne.
-/
import measure_theory.l1_space
import analysis.mean_inequalities
/-!
# ℒp space
This file describes properties of measurable functions with finite seminorm `(∫ ∥f a∥^p ... |
a94697075d3896341e0a6eb3dc046dbe0948a87b | 1437b3495ef9020d5413178aa33c0a625f15f15f | /data/equiv/algebra.lean | 4ccd6ffa21e83b0cdf570e2c4165c9ed3b337f6c | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,875 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.equiv.basic algebra.field
universes u v w
namespace equiv
variables {α : Type u} [group α]
protected def mul_left (a : α) : α ≃ α :=
{ to_fun := λx,... |
b88a12890c6ce171ba46d3f7b945c1fbe0877e5d | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/init/algebra/group.lean | 991816c2c7a88c4a2ae14546b689a3d1435040d4 | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 15,728 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.logic init.algebra.ac init.meta init.meta.decl_cmds init.meta.smt.rsimp
/- Make sure instances defined in this file have... |
74ae6677c046db0857445f809051aece31f0e194 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/geometry/euclidean/circumcenter.lean | b44646ccc308e60e675e8aecf1d21c57d2a95401 | [
"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 | 38,244 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.basic
import linear_algebra.affine_space.finite_dimensional
import tactic.derive_fintype
/-!
# Circumcenter and circumradius
This file proves ... |
6db79011d55b51b4401676284d716113bec1fb06 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/integral/set_to_l1.lean | 4b2fece04f2c5a72a2aa13cfc93f078aebaee408 | [
"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 | 88,218 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import measure_theory.function.simple_func_dense_lp
/-!
# Extension of a linear function from indicators to L1
Let `T... |
3b6860a64868568e742f48c184d3e8c14fd12313 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/real/irrational.lean | 006e0db47bdf84648acc18563f66d2329fef3c2c | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 4,747 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne.
Irrationality of real numbers.
-/
import data.real.basic data.padics.padic_norm
open rat real multiplicity
def irrati... |
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