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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d53e29254a9355b80913edd02f607ef37fe484c2 | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/sheaves/stalk.lean | 796e0141d3bf85d020e2dbc8e3e85ff676affb0c | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 2,497 | lean | /-
Stalk (of types).
https://stacks.math.columbia.edu/tag/0078
Author: Ramon Fernandez Mir
-/
import topology.basic
import sheaves.opens
import sheaves.presheaf
universe u
section stalk
variables {α : Type u} [topological_space α]
variables (F : presheaf α) (x : α)
open topological_space
-- An eleme... |
a3eb7a8f70cea81254e00bebe2b51c519ed507a9 | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/classes/unrestricted/closure_properties/concatenation_bonus.lean | 21e8233ba0c8e59673a52f36cac028602844c82f | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,298 | lean | import classes.context_free.basics.inclusion
import classes.unrestricted.closure_properties.concatenation
import utilities.written_by_others.trim_assoc
import utilities.written_by_others.print_sorries
variables {T : Type}
private def wrap_CF_rule₁ {N₁ : Type} (N₂ : Type) (r : (N₁ × list (symbol T N₁))) :
((nnn T N... |
72b73b3b61a7f72be6fa28c32d195c2cd3a47d51 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /tests/replacer.lean | 4db03d2b04679b8b2dabe6169cc5f1dcf487f412 | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 456 | lean | import tactic.replacer
open tactic
def_replacer sneaky
example : true :=
begin
success_if_fail { sneaky },
trivial
end
@[sneaky] meta def sneaky' : tactic unit := `[skip]
example : true :=
begin
sneaky,
guard_target true,
trivial
end
@[sneaky] meta def sneaky'' := `[trivial]
example : true :=
begin
s... |
3b65c61b28fd9040a81473f6022bee1a5ead7d63 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/char_p/basic.lean | a66b93baf0c6752a3f5524c5045a4c5addfcc6f0 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,327 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Joey van Langen, Casper Putz
-/
import algebra.iterate_hom
import data.int.modeq
import data.nat.choose
import group_theory.order_of_element
/-!
# Characteristic of semirings
-/... |
d0e41d991edc4b359e34f83ad21a4a3e21992b36 | 217bb195841a8be2d1b4edd2084d6b69ccd62f50 | /library/init/lean/parser/trie.lean | 1703ffa9fd9035c88932e84b9e3e35b5d4ac1646 | [
"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 | 3,509 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Trie for tokenizing the Lean language
-/
prelude
import init.data.rbmap
import init.lean.format init.lean.parser.parsec
namespace Lean
name... |
786601a8cc7c3ad1a4e0af15f274ea7a0fffc7ab | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/term_app2.lean | 79be44992422ece5ed8c5a01ede31f9d4fa87a47 | [
"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 | 2,267 | lean | local attribute [simp] nat.add_comm nat.add_left_comm
lemma nat.lt_add_of_lt {a b c : nat} : a < b → a < c + b :=
begin
intro h,
have aux₁ := nat.le_add_right b c,
have aux₂ := lt_of_lt_of_le h aux₁,
rwa [nat.add_comm] at aux₂
end
lemma nat.lt_one_add_of_lt {a b : nat} : a < b → a < 1 + b :=
begin
intro h,
... |
a4879cd58459b2ce74cd5589b45cb3fc6ff53e17 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/logic/function/basic.lean | ad886daac8a1812ad33fca790e7598b0cf2641be | [
"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 | 13,564 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import logic.basic
import data.option.defs
/-!
# Miscellaneous function constructions and lemmas
-/
universes u v w
namespace function
section
var... |
9d2faf92295f929c202cc76050387287c0f889bb | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/limits/shapes/constructions/binary_products.lean | f2c952666d5e1343918b18891e0e1d1952c5726a | [
"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 | 1,688 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.terminal
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.binary_products
universes v u
/-!
# C... |
33aedac9d6d201f6121eddd2948c86215fb51acf | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed/group/hom_completion.lean | 912a430f67e0f152e47ca02f5807a69621446dfa | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 10,727 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import analysis.normed.group.hom
import analysis.normed.group.completion
/-!
# Completion of normed group homs
Given two (semi) normed groups `G` and `H` and a norm... |
19d3ecb4916ee242512c15f8e59a41f689ae4420 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/syntaxWF.lean | 6fc341917f7ff7acce9a87a957bf6ce041ae2df4 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 1,634 | lean | namespace Lean.Syntax
theorem sizeOf_getArg_of_not_missing
(h : stx ≠ missing)
: sizeOf (stx.getArg i) < sizeOf stx := by
cases stx with
| missing => simp at h
| atom _ val => cases val; simp_arith [getArg]
| ident _ _ val _ => cases val <;> simp_arith [getArg]
| node _ kind args =>
simp [getArg,... |
04d90b06a6757162abd7887b0e5172de3356b150 | 8a8d9c511db749b9c0205ee48d6df1e2c6dd1e6f | /library/init/logic.lean | c708dbabe328317e0c088ae2637e776a5100e9ec | [
"Apache-2.0"
] | permissive | rpglover64/lean | 4d92db4b316b543b8a49797e2109532ed5eb88bb | cbac8d13006782c71a2281c3dd76854ccf8623a7 | refs/heads/master | 1,582,731,391,459 | 1,427,585,012,000 | 1,427,585,012,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,173 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.logic
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.datatypes init.reserved_notation
/- implication -/
definition trivial := true.int... |
155f4f487d5204f512bd0c92b7c5fc583290376f | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/1804b.lean | 532d2fc442cc00dae144688d81732f9155ed6e41 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 656 | lean | namespace bla
private def foo (x : nat) : nat :=
match x with
| 0 := 1
| _ := 2
end
example (a : nat) (h : a = foo 0) : a = 1 :=
begin
simp [foo] at h,
guard_hyp h := a = 1,
exact h
end
example (a b : nat) (p : b = 0) (h : a = foo b) : a = 1 :=
begin
simp [foo] at h,
simp [p] at h,
simp [foo._match_1] at... |
9b432d6be3437bc8430717665c7149697cc5a551 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/group.lean | 02323593b76d0183b1661fdb860dda60895e9989 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,092 | lean | import logic
section
variable {A : Type}
variable f : A → A → A
variable one : A
variable inv : A → A
local infixl `*` := f
local postfix `^-1`:100 := inv
definition is_assoc := ∀ a b c, (a*b)*c = a*b*c
definition is_id := ∀ a, a*one = a
definition is_inv := ∀ a, a*a^-1 = one
end
inductive... |
9fc67447d62247be973747047b017e5d8f7a4b1c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/autoIssue.lean | a400028baacb7c1bfb4b74f2880b700327517574 | [
"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 | 1,103 | lean | import Lean
structure A :=
x : Nat
a' : x = 1 := by trivial
#check A.a'
example (z : A) : z.x = 1 := by
have := z.a'
trace_state
exact this
example (z : A) : z.x = 1 := by
have := z.2
trace_state
exact this
#check A.rec
example (z : A) : z.x = 1 := by
have ⟨x, a'⟩ := z
trace_state
subst a'
... |
b4bb1e206ad4b45e5a0158b538dee9bfff66efb7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/simpperf/simp2000.lean | bb1b0895b6bf3d06433dbc4771b3876a581d74d6 | [
"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 | 173,598 | lean | axiom f (x : Prop) : Prop
axiom g0 (x : Prop) : Prop
axiom g1 (x : Prop) : Prop
axiom g2 (x : Prop) : Prop
axiom g3 (x : Prop) : Prop
axiom g4 (x : Prop) : Prop
axiom g5 (x : Prop) : Prop
axiom g6 (x : Prop) : Prop
axiom g7 (x : Prop) : Prop
axiom g8 (x : Prop) : Prop
axiom g9 (x : Prop) : Prop
axiom g10 (x : Prop) : P... |
044b1d49730a7d201fe488a752b0fe9de98d7d21 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/norm_swap.lean | b89621b1b9ce5ed4dc710414f305048b5d43552f | [
"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 | 4,286 | lean | import logic.equiv.defs
import tactic.norm_swap
open equiv tactic
/--
To properly test that norm_swap works without the help of the simplifier,
we turn off the simp lemmas that simplify swaps of the form
`swap x y x = y` and `swap x y y = x`.
-/
local attribute [-simp] swap_apply_left
local attribute [-simp] swap_ap... |
2128266d99b6b5af773924eb91b1be1744d2a02f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/set/intervals/proj_Icc.lean | 952f545d539b19c7fbcb60abbe6c13c6aa359966 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 3,761 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot
-/
import data.set.intervals.basic
/-!
# Projection of a line onto a closed interval
Given a linearly ordered type `α`, in this file we define
... |
2a8701907fad41be8852c4da2e13d178ce94e182 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/algebra/relation.lean | c8b55d5393a65d5ea6fd8ea05fc2fd9a820bb02d | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,715 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Jeremy Avigad
-- algebra.relation
-- ==============
import logic.prop
-- General properties of relations
-- -------------------------------
namespace relation
definit... |
f0423076375c15f62ec233add0540a537029d31e | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /meta/rb_map.lean | 3bda8c12a6356a965c237e7de3dfe9a9f0277812 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 1,756 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
Additional operations on native rb_maps and rb_sets.
-/
import data.option
namespace native
namespace rb_set
meta def filter {key} (s : rb_set key) (P : ... |
c74c6ed6bec64af1e5b6eaab7704d6a8000f6365 | 4f9ca1935adf84f1bae9c5740ec1f2ad406716fa | /src/analysis/calculus/deriv.lean | 4ef391d1c33d2a933e8867091dd83e5bb0c9b927 | [
"Apache-2.0"
] | permissive | matthew-hilty/mathlib | 36fd7db866365e9ee4a0ba1d6f8ad34d068cec6c | 585e107f9811719832c6656f49e1263a8eef5380 | refs/heads/master | 1,607,100,509,178 | 1,578,151,707,000 | 1,578,151,707,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 46,372 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sébastien Gouëzel
-/
import analysis.calculus.fderiv
/-!
# One-dimensional derivatives
This file defines the derivative of a function `f : 𝕜 → F` where `𝕜` is a
norm... |
cd7cb377221da9ceb2c3e92f3a0e27f13de39c3e | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/eq20.lean | 1ca5a107f54938fa8ef21842beab5fc57b869ed7 | [
"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 | 773 | lean | import data.list
open nat list
context
parameter {A : Type}
parameter (p : A → Prop)
parameter [H : decidable_pred p]
include H
definition filter : list A → list A,
filter nil := nil,
filter (a :: l) := if p a then a :: filter l else filter l
theorem filter_nil : filter nil = nil :=
rfl
the... |
8555e5b849a3f6158f860f0ae04306eface1dcf8 | 75bd9c50a345718d735a7533c007cf45f9da9a83 | /src/measure_theory/borel_space.lean | 2fc94674bb2d7ccf0bfdd3322734da184644d269 | [
"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 | 35,534 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.measure_space
import topology.instances.ennreal
import analysis.normed_space.basic
/-!
# Borel (measurable) space
## Main def... |
8ceffbade8eba3a9ed180dfb2a18610d5a9e9b82 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Data/LOption.lean | 10928e92f6fc5b45b4342051f39d4a1a867e8a5c | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,085 | 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.Data.ToString
universes u
namespace Lean
inductive LOption (α : Type u)
| none : LOption
| some : α → LOption
| undef : LOption
nam... |
ac6c9942712aaa1891b220215c44499806ed467f | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/order/filter/at_top_bot.lean | 919c3b94c425d69cbb809b8e234fb999b4f12ec1 | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,156 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import order.filter.bases
import data.finset.preimage
/-!
# `at_top` and `at_bot` filters on preorded sets, monoids a... |
054b6b2aceb5c0ae35ff676aea7ea87e4e8953b8 | d65db56b17d72b62013ed1f438f74457ad25b140 | /src/lambda.lean | e850bf2e9271c3edeb3a32dc5848bb7e2a9040be | [] | no_license | swgillespie/proofs | cfa65722fdb4bb7d7910a0856d0cbea8e8b9a3f9 | 168ef7ef33d372ae0ed6ee4ca336137a52b89f8f | refs/heads/master | 1,585,700,692,028 | 1,540,162,775,000 | 1,540,162,775,000 | 152,695,805 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 407 | lean | import data.finset
namespace lambda
inductive term : Type
| var : ℕ → term
| abs : ℕ → term → term
| app : term → term → term
def free_variables : term → finset ℕ
| (term.var v) := {v}
| (term.abs v e) := (free_variables e) \ {v}
| (term.app e₁ e₂) := (free_variables e₁) ∪ (free_variables e₂)
definition close... |
43184d08fe26a757119103d923d857f2c9994c4a | 0bd6c950c82dcba3e46dc8d8acb5ecc60b917520 | /cantor.lean | c8fad1d9bc118eb2cc2ac4efe6aba0f2f3772fa9 | [] | no_license | truonghoangle/formalabstracts | 976dbbdede5c71346a3c534a8f319456248d4610 | b889ec60143315053a51b1829a5dc4d82ba503b3 | refs/heads/master | 1,584,899,948,798 | 1,537,184,894,000 | 1,537,184,894,000 | 140,428,980 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 436 | lean |
import data.set.function set_theory.cardinal
open set function
universes u
variable α : Type u
theorem Cantor0 (s :set α): ¬ (∃ f, maps_to f s (powerset s) ∧ surj_on f s (powerset s) ) ∧
(∃ f:α → set α, inj_on f s)
:= sorry
theorem Cantor: ¬ (∃ f:α → set α, surjective f ) ∧ (∃ f:α → set α, injective f... |
12514182aa874e33a85c4efd747aa4e04d17e4cd | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/group/to_additive.lean | d56b44a52183bf4cec716cf364475f9d70f03ac4 | [
"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 | 12,076 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury Kudryashov.
-/
import tactic.transform_decl
import tactic.algebra
/-!
# Transport multiplicative to additive
This file defines an attribute `to_additive` that ca... |
b55fb9bb3580dd799ced36b842853d78fd5490fa | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category/traversable/equiv.lean | 10516775f4e0135a288f4a29744d0364c924383e | [
"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 | 4,793 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Transferring `traversable` instances using isomorphisms.
-/
import data.equiv.basic category.traversable.lemmas
universes u
namespace equiv
section functor
parameters {t t... |
5b6ba8a4da39747609bbc37c605415da747db6bf | 98beff2e97d91a54bdcee52f922c4e1866a6c9b9 | /src/applications/topologies.lean | 37e1fb5d97a60e45abb83245174b0087388443ba | [] | no_license | b-mehta/topos | c3fc43fb04ba16bae1965ce5c26c6461172e5bc6 | c9032b11789e36038bc841a1e2b486972421b983 | refs/heads/master | 1,629,609,492,867 | 1,609,907,263,000 | 1,609,907,263,000 | 240,943,034 | 43 | 3 | null | 1,598,210,062,000 | 1,581,877,668,000 | Lean | UTF-8 | Lean | false | false | 14,561 | lean | import applications.functor_category
import grothendieck
import sheaf
import category.element
import tactic.equiv_rw
import data.quot
import pullback_colimit
import category.colimits
namespace category_theory
universes v u
variables {C : Type u} [small_category C] (J : sieve_set C) [grothendieck J]
open classifier ... |
3cc192c9f6dfdfcd37148ce6d2bde291b1234bc2 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Lean/Util/FindExpr.lean | d7b153b0a958cb8373c26b0ffac6b3aef9be2b35 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,270 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
namespace Expr
namespace FindImpl
abbrev cacheSize : USize := 8192
structure State :=
(keys : Array Expr) -- Remark: o... |
df52973d9da67ca39ebcfc0bddb7d49b6f5fd8d4 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/closed/ideal.lean | 50ba92dc0dbc453164bbe7ed04c6e426b9d605e8 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 11,879 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.preserves.shapes.binary_products
import category_theory.limits.constructions.finite_products_of_binary_products
import category_theory.monad... |
9fc01a6be0c6ed107e092336044b338f1ee4f6b7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/monoidal/linear.lean | 75d95bead92ff48b2d131cccf2db8f4b4cd50abd | [
"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 | 2,421 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.linear.linear_functor
import category_theory.monoidal.preadditive
/-!
# Linear monoidal categories
A monoidal category is `monoidal_linear R`... |
fd06e0f47eb22e022f14985db8e006f7bfe01240 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/module/submodule/lattice.lean | 9edf95ad147fbb100a3d5039bda26d3e7198a720 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 11,634 | 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, Kevin Buzzard, Yury Kudryashov
-/
import algebra.module.submodule.basic
import algebra.punit_instances
/-!
# The lattice structure on `submodule`s
Thi... |
2562ca86d04cfc1e5944282dce3f80ffee340266 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/prod.lean | 7d4bec9c3839d0de558698ffcea936367b2719e4 | [
"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 | 4,097 | 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 tactic.ext
/-!
# Extra facts about `prod`
This file defines `prod.swap : α × β → β × α` and proves various simple lemmas about `prod`.
-/
variables {α : Ty... |
8e1b1e319d0b703b02ba084c859bf6396c137243 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/analysis/special_functions/arsinh.lean | b043d9eb756108945a1197b05d4498a7816d2bb2 | [
"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 | 3,035 | lean | /-
Copyright (c) 2020 James Arthur. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: James Arthur, Chris Hughes, Shing Tak Lam
-/
import analysis.special_functions.trigonometric
noncomputable theory
/-!
# Inverse of the sinh function
In this file we prove that sinh is ... |
9d53b7af6e111f92c64d94ce597f988cc5966e94 | e9dbaaae490bc072444e3021634bf73664003760 | /src/Problems/2001/IMO_2001_P5.lean | ad07e0719ee03d749bd1d3ea00589f287d05300c | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 781 | lean | /-
IMO 2001 P5 is a "determine" problem. The problem statement is as follows:
"What are the possible angles of triangle ABC?"
This problem statement is replaced by the last two witnesses in this formalization.
Solution: https://web.evanchen.cc/exams/IMO-2001-notes.pdf
-/
import Geo.Geo.Core
namespace Geo
open Ana... |
f5453c11fbcbbcc79963e1dda41f694371ed436a | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/1968.lean | 1d4b53e6f1e1da29c2a2aae032b910b85d953ca7 | [
"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 | 1,338 | lean | new_frontend
inductive type
| bv : Nat → type
| bit : type
open type
-- This is a "parameterized List" where `plist f types` contains
-- an element of Type `f tp` for each corresponding element `tp ∈ types`.
inductive plist (f : type → Type) : List type → Type
| nil {} : plist f []
| cons {h:type} {r:List type} : f... |
5075c84a73f6cabb8f506449d3c67bde04c59b4e | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/group_power.lean | 29c89aff857a97aa7f6a01f15115c45b300c88db | [
"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 | 26,891 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import data.int.basic
/-!
# Power operations on monoids and groups
The power operation on monoids and groups.
We separate this from group, because i... |
8aad49800c563812658cc13bb78403faa142952a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/measure_theory/ae_eq_fun.lean | 2ca0a1ff82c7d6bbf6e0022ce6fa952f1fce2575 | [] | 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 | 34,800 | lean | /-
Copyright (c) 2019 Johannes Hölzl, Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Zhouhang Zhou
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.measure_theory.integration
import Mathlib.order.filter.germ
i... |
a0c4c11862b4bb8ba24a793143b1b0f58155a1b3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/number_theory/liouville/basic.lean | 5594d84b482cb2db852222e8d56165095b8e3ef8 | [
"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 | 12,399 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa, Jujian Zhang
-/
import analysis.calculus.mean_value
import data.polynomial.denoms_clearable
import data.real.irrational
/-!
# Liouville's theorem
This file contains a pr... |
8f82c143df8285340bd7c89770dd05273cc5ccc5 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/rc_tests.lean | e5ccb3e9ee68f7f60b6edd6b6053189ec98a3269 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,128 | lean |
universe u v
-- set_option pp.binder_types false
set_option pp.explicit true
set_option trace.compiler.llnf true
-- set_option trace.compiler.boxed true
namespace x1
def f (x : Bool) (y z : Nat) : Nat :=
match x with
| true => y
| false => z + y + y
end x1
namespace x2
def f (x : Nat) : Nat := x
end x2
names... |
e9b3340f1c2dcba6fc508e793ed5276b4f375665 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/continuous_on.lean | 8cb6fabef4bbac0f3c4754bea7973164b71468ca | [
"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 | 56,491 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require ... |
7121e998c827da98c55962b27ce114c19569c551 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/eq_to_hom.lean | 4bdeaed440d40be282d730c920deb1f64b98700a | [
"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 | 8,964 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
-/
import category_theory.opposites
/-!
# Morphisms from equations between objects.
When working categorically, sometimes one encounters an equation `h : X =... |
d190a5bfe8e0402560267427b57bbd911ccf379e | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Server/FileSource.lean | d64a14c69461b76a7b5b942b8c81f9151f3616f1 | [
"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 | 2,434 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga
-/
import Lean.Data.Lsp
namespace Lean
namespace Lsp
class FileSource (α : Type) where
fileSource : α → DocumentUri
export FileSource (fileSource)
instance Location.... |
fdf1a60a64c9d2adb2767aa2c7e9f7fcfd27978a | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/box_integral/partition/basic.lean | e9ff3fb379ac2399abbebb241321e233c8b56aa2 | [
"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 | 29,255 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.box.basic
/-!
# Partitions of rectangular boxes in `ℝⁿ`
In this file we define (pre)partitions of rectangular boxes in `ℝⁿ`. A parti... |
b6e46282ef3f9ba4b2ddfc111549d1ac05e9bf87 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/init/meta/expr.lean | 240c92ba0c2cfe6ede5df9f8991dd28bcc270c1f | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,332 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.level init.category.monad
structure pos :=
(line : nat)
(column : nat)
instance : decidable_eq pos
| ⟨l₁, c₁⟩ ⟨l₂, c₂⟩ := if h₁... |
72ae0c354d58007009025730c1cad97d17c41ec7 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/rotate.lean | b1ba189819b284313a4f959677ff68f200257fa4 | [
"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 | 21,637 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yakov Pechersky
-/
import data.list.perm
import data.list.range
/-!
# List rotation
This file proves basic results about `list.rotate`, the list rotation.
## Main declar... |
462b5fd741e7409047be5920ccdf4e8c5bb82371 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/LCNF/Simp.lean | 8450c03ea59a868fc686e067a7527e888af55352 | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 2,594 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.LCNF.ReduceJpArity
import Lean.Compiler.LCNF.Renaming
import Lean.Compiler.LCNF.Simp.Basic
import Lean.Compiler.LCNF.Simp.FunDeclInfo
i... |
a68c475cb2fd758b6747e6bde8a0137847bf92c2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/filtered_colimit_commutes_finite_limit.lean | 4a68a0a2bda049e980e921925792f0a2b0daf0f3 | [
"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 | 17,039 | 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 category_theory.limits.colimit_limit
import category_theory.limits.preserves.functor_category
import category_theory.limits.preserves.finite
import category_th... |
0fa75106efbaa42403d37239dc5d8f999a9848f4 | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/algebra/category/functor.hlean | d1c40587da1c91d9a642e13aadcadce88dc55708 | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 10,266 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
-/
import .iso types.pi
open function category eq prod prod.ops equiv is_equiv sigma sigma.ops is_trunc funext iso
open pi
structure functor (C ... |
3e7d53314cfc88bd707c5cdfab29775d5e2ccd7b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /archive/100-theorems-list/16_abel_ruffini.lean | 8504650903498afa65b29a9b67ee21b61e824b43 | [
"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 | 8,261 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import field_theory.abel_ruffini
import analysis.calculus.local_extr
import ring_theory.eisenstein_criterion
/-!
Construction of an algebraic number that is not sol... |
0a8dbde9a9658c83c67d7601164717cd1f308152 | 9bb72db9297f7837f673785604fb89b3184e13f8 | /library/init/data/fin/ops.lean | a2a6c20256f3d502262a4613a292f83310abf7f7 | [
"Apache-2.0"
] | permissive | dselsam/lean | ec83d7592199faa85687d884bbaaa570b62c1652 | 6b0bd5bc2e07e13880d332c89093fe3032bb2469 | refs/heads/master | 1,621,807,064,966 | 1,611,454,685,000 | 1,611,975,642,000 | 42,734,348 | 3 | 3 | null | 1,498,748,560,000 | 1,442,594,289,000 | C++ | UTF-8 | Lean | false | false | 3,341 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.nat init.data.fin.basic
namespace fin
open nat
variable {n : nat}
protected def succ : fin n → fin (succ n)
| ⟨a, h⟩ := ⟨nat.succ ... |
f0cccc3f56482405408bb57fb85a116a48b4ec41 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/RecursorInfo.lean | 8b4aa850bd4bea8cb7877a4bd92d9e52519ad151 | [
"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 | 13,509 | 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.AuxRecursor
import Lean.Util.FindExpr
import Lean.Meta.Basic
namespace Lean.Meta
inductive RecursorUnivLevelPos where
| motive ... |
a567160c8ec18119f0ae3f6096764842a68dcf18 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/set/equitable.lean | 5ce093570a4d5f2ec98717056761bb9d78e1ca49 | [
"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 | 3,760 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.big_operators.order
import data.nat.basic
/-!
# Equitable functions
This file defines equitable functions.
A function `f` is... |
527ef3bcb9c3ba8111d85fb329a1ca9904e2d05a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/dynamics/periodic_pts.lean | 004ee9f03663ac6357ac6c5f882b98b24e18c267 | [
"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 | 16,828 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.hom.iterate
import data.nat.prime
import dynamics.fixed_points.basic
import data.pnat.basic
import data.set.lattice
/-!
# Periodic points
A p... |
c125da00865525df6e9b6b70fe7b5f1154c43b27 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/seq/seq.lean | 308dbb0e7505961b5e2c857594f2e76c450bca9a | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,461 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.basic
import data.stream
import data.lazy_list
import data.seq.computation
universes u v w
/-
coinductive seq (α : Type u) : Type u
| nil : seq α
|... |
827a2de3c5d3b6762996c4e7c9f76de0cfa64f7d | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/prec_max.lean | 6ea07728b5aab20c6817e06e0787a4c11147a424 | [
"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 | 384 | lean | open nat
reserve postfix ⁻¹:(max + 1)
postfix (name := symm) ⁻¹ := eq.symm
constant foo (a b : nat) : a + b = 0
theorem tst1 (a b : nat) : 0 = a + b :=
(foo _ _)⁻¹
constant f {a b : nat} (h1 : 0 = a + b) (h2 : a = b) : a = 0 ∧ b = 0
example (a b : nat) : a = 0 ∧ b = 0 :=
f (foo _ _)⁻¹ sorry
example (a b : nat) :... |
f94c83b591f664979b1328495ba20cd88e7c0f50 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/order/filter/at_top_bot.lean | f5a72c2c263a12e889e4857273d165c17c2ca75f | [
"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 | 72,831 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import algebra.order.field
import data.finset.preimage
import data.set.intervals.disjoint
import order.filter.bases
/... |
a2e74f2f8314d8c64648e58adeec26dec6e14ceb | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/graded_algebra/homogeneous_localization.lean | dd142a9b8d47cf9b83bbc748be9059417dee7e89 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 20,327 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Eric Wieser
-/
import ring_theory.localization.at_prime
import ring_theory.graded_algebra.basic
/-!
# Homogeneous Localization
## Notation
- `ι` is a commutative monoid;
... |
ee9d06c4c8e07970c52639369c84fc874a54d877 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/ring_theory/unique_factorization_domain.lean | 4fb19e47bef2eaf4d169d8f658cdbbc0430ffe8d | [
"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 | 49,938 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
import algebra.gcd_monoid
import ring_theory.integral_domain
import ring_theory.noetherian
/-!
# Unique factorization
## Main Defi... |
b2dbb0b7d4a8c33c27b461580b3732466a3fb564 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_823.lean | e685b41dc603d359f2b0c2abfa283ba5a2dde96f | [] | 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 | 139 | lean | import data.real.basic
-- BEGIN
example (a b : ℝ) : a - b = a + -b :=
rfl
example (a b : ℝ) : a - b = a + -b :=
by reflexivity
-- END |
da98802f08cccc8395662a889afc4625b06a99d4 | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/homotopy_theory/formal/cofibrations/gluing.lean | 3332992499c020618100159d31dffde07a29208e | [
"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 | 5,043 | lean | import .brown
universes v u
open category_theory
local notation f ` ∘ `:80 g:80 := g ≫ f
namespace homotopy_theory.cofibrations
open precofibration_category cofibration_category
open homotopy_theory.weak_equivalences
variables {C : Type u} [category.{v} C] [cofibration_category.{v} C]
[has_initial_object.{v} C]
... |
5b42f24df1c9bb44430b976b313e5edc27325b47 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/monotonicity.lean | 411625aed3dc94fcadc3332a2c06ac233be93bb3 | [
"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 | 9,054 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.monotonicity
import tactic.norm_num
import algebra.order.ring.defs
import measure_theory.function.locally_integrable
import measure_theory.integral.bochner
im... |
d27397b61adee0d7f5a112342fb0c54ac7d970ba | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/sets/compacts.lean | 196399df39db62fd1490bc330471f9243e576262 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 14,529 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Yaël Dillies
-/
import topology.sets.closeds
/-!
# Compact sets
We define a few types of compact sets in a topological space.
## Main Definitions
For a topologi... |
0f929998e3cc5c0f0b6a2733bbce442b01bdde1c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/filter/at_top_bot.lean | 55c77e6830e442ec0ed37c4c2cc3b249a80baa47 | [] | 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 | 56,000 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.filter.bases
import Mathlib.data.fins... |
fd8c74e833e18f732e4916c082a58f34a1143a24 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/rel_iso.lean | 9dd1ba844454afffb649c5cae270b6d556aeb746 | [] | 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 | 40,481 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.logic.embedding
import Mathlib.order.rel_classes
import Mathlib.data.set.intervals.basic
im... |
e7764f72166495e3414d2bf6d3eae00011c37191 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/adjunction.lean | 74ffabb218399ea8e31ea1bcb99d252672e4b33a | [
"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 | 14,488 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin
-/
import category_theory.limits.preserves
import category_theory.whiskering
namespace category_theory
open category
open category_theory.limits
universes v... |
718a3ad2a8e397cb13ecb370dfd5fed65b137e41 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/rbtree/main.lean | 8c49c3943b5a8138f109ec1557ef6b4373b0ee21 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 8,315 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.rbtree.find
import data.rbtree.insert
import data.rbtree.min_max
import order.rel_classes
universes u
namespace rbnode
variables {α : Type u} ... |
8c9e418f5179efcb1c3dd617de2f3d00909fe250 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/int_eq_num.lean | fcc01cafe0a0afe3f189aeb238a49d61c8655c85 | [
"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 | 114 | lean | def f : int → nat
| -100 := 0
| 0 := 1
| 3 := 2
| _ := 4
#eval f (-100)
#eval f 0
#eval f 3
#eval f 5
|
b356c9bdffbb72d4ee8b7f48c279618af70cfec8 | d8820d2c92be8052d13f9c8f8c483a6e15c5f566 | /src/Exercises/Exercies2.lean | e6cbdeb363522a980e86eb3f2e200a313a46ddef | [] | no_license | JasonKYi/M4000x_LEAN_formalisation | 4a19b84f6d0fe2e214485b8532e21cd34996c4b1 | 6e99793f2fcbe88596e27644f430e46aa2a464df | refs/heads/master | 1,599,755,414,708 | 1,589,494,604,000 | 1,589,494,604,000 | 221,759,483 | 8 | 1 | null | 1,589,494,605,000 | 1,573,755,201,000 | Lean | UTF-8 | Lean | false | false | 485 | lean | /-
Exercise 2.
What is the contrapositive of ¬ Q → ¬ P
-I am suggesting P → Q is the contrapositive of ¬ Q → ¬ P. Is this correct?
Prove that it is correct if you agree with me, otherwise change P → Q into what ever your heart desires!
Here are some basic tactics that might help : http://wwwf.imperial.ac.uk/~buzzard/... |
c793a18db5d694ef4fd7da587e29e2a8b9a2f1ca | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/topology/uniform_space/separation.lean | eb51fd6966865b02a6c93d12e93a94f5d40f0537 | [
"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 | 13,628 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
Hausdorff properties of uniform spaces. Separation quotient.
-/
import topology.uniform_space.basic
open filter topological_space lattice set classica... |
a7b232f182a3cd6639cb540ddaae2be4fe48ab90 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/calcErrors.lean | 7bd0b4e6dab2eb2a4282807c4bec228c48812156 | [
"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 | 1,560 | lean | theorem ex1 (a b c : Nat) (h₁ : a = b) (h₂ : b = c) : a + b = 0 + c + b :=
calc a + b = b + b := by rw [h₁]
_ = 0 + c + b := rfl
theorem ex2 (a b c : Nat) (h₁ : a = b) (h₂ : b = c) : a + b = 0 + c + b :=
calc a + b = b + b := by rw [h₁]
0 + c + b = 0 + c + b := rfl
theorem ex3 ... |
a0b3a96473f0e524327f262f8d00d23c4ea999e1 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/rat/order.lean | 362ce6378b298607587b38364283820c0e53e7a3 | [
"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 | 9,544 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.rat.basic
/-!
# Order for Rational Numbers
## Summary
We define the order on `ℚ`, prove that `ℚ` is a discrete, linearly ordered field, ... |
109df56a1109b49804ea4cb4cff3606bff16385c | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/HeadIndex.lean | f9dec6a569f2e9d3b95e81d6339d7c9abc4e2ec1 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,576 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
inductive HeadIndex
| fvar (fvarId : FVarId)
| mvar (mvarId : MVarId)
| const (constName : Name)
| proj (structName... |
26eb00938726c4eebf558ebda9c274ef5051f590 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/affine_space/basis.lean | f599bb429dfeb485555b0ee917cbf7492dfa7d61 | [
"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 | 16,204 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import linear_algebra.affine_space.independent
import linear_algebra.affine_space.finite_dimensional
import linear_algebra.determinant
/-!
# Affine bases and barycentric c... |
840cce137f09a36d54a65e1e51dad27938c43ce1 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/algebra/associated.lean | a6440796c6146da128fc71b4387f61064f401c03 | [
"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 | 29,158 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
-/
import algebra.big_operators.basic
import algebra.divisibility
import algebra.invertible
/-!
# Associated, prime, and irreducible elements.
-/
varia... |
7ec27261a50c5ba237f2c2d948a6d8eb08d1bf86 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/fin/tuple/nat_antidiagonal.lean | dadbc86d134b858c8de56e8f5f0b236c96c04ea6 | [
"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 | 8,915 | 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 algebra.big_operators.fin
import data.finset.nat_antidiagonal
import data.fin.vec_notation
import logic.equiv.fin
/-!
# Collections of tuples of naturals with the s... |
e8df8997786f220d8f026fccd0d4078e62eb558e | f10d66a159ce037d07005bd6021cee6bbd6d5ff0 | /to_field.lean | 17e409df84691b5e078e1ff05578d8dfa84e5dd8 | [] | no_license | johoelzl/mason-stother | 0c78bca183eb729d7f0f93e87ce073bc8cd8808d | 573ecfaada288176462c03c87b80ad05bdab4644 | refs/heads/master | 1,631,751,973,492 | 1,528,923,934,000 | 1,528,923,934,000 | 109,133,224 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,442 | lean | import data.finsupp
import algebra.ring
import .to_finset
import .to_multiset
import associated_quotient
import unique_factorization_domain
noncomputable theory
local infix ^ := monoid.pow
open classical multiset
local attribute [instance] prop_decidable
universe u
variable {α : Type u}
--Would it have been smart ... |
0616df20fda607ea906674f9cd18c5644cb18ce5 | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/tests/test_evaluation.lean | 75236254246c08204cf3f6dab5ff234ae56474e1 | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 829 | lean | import ..tactic_state
import ..evaluation
import tactic.auto_cases
import linear_algebra.tensor_algebra
import data.pfun
section playground
-- TODO(jesse): WARNING: without conjugating by `get/set_env`,
-- this has mysterious side effects which cause future invocations to `run_evaluation` to fail
run_cmd do {
env ←... |
277c425914446e75566ba31faafa92dca0ae7bae | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/equiv/basic.lean | 09fe0d52d2fa8d2dcb48b347fa7ed1d39a867fdd | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 93,950 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
import data.set.function
/-!
# Equivalence between types
In this file we define two types:
* `equiv α β` a.k.a. `α ≃ β`: a bijective map ... |
bb1270d15937d01623d14dbf70e8a44a5fbd6293 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/PreDefinition/WF.lean | 5e4a5b98182e1c127b3d57ced4f61db99f92839d | [
"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 | 203 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.PreDefinition.WF.Main
|
5783beb5af3adfcc156f9c77435499bb5e366a26 | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/data/analysis/topology.lean | 4296ceeb4157e7fb7e4d2b844f6d022bf65eeab3 | [
"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 | 8,420 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Computational realization of topological spaces (experimental).
-/
import topology.bases data.analysis.filter
open set
open filter (hiding realizer)
/-- A `ctop α σ` i... |
45380f37dbc9a21a95f2b4bef70fb1c8ef34fc62 | e0d5cc416b0cf9011f9706e3b89ad18e34595c44 | /src/cayden/prop.lean | 94d8233e5f17e1a71045f1ef549ed893f50c83a4 | [] | no_license | avigad/verified-encodings | c90701b68636c0bae2127b9eb7bcc53e71d06bc8 | 2b8c3b07a7cfcdad3b13cf01685eabe395f35c17 | refs/heads/master | 1,687,237,025,852 | 1,626,625,618,000 | 1,626,625,618,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,706 | lean | import init
import data.bool
--import init.data.bool.basic
--import init.data.bool.lemmas
inductive PropForm : Type
-- Atoms of propositional formulas
| T : PropForm
| F : PropForm
| Var : nat → PropForm -- Identified by ID number
-- Basic connectives for propositional formulas
| Conj : Pro... |
69098509684ab10c9b62c811549c340609ba2c3f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/elab11.lean | ae334479c123fadf6ca60231c2b59bef4d3b04d9 | [
"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 | 212 | lean | constant boo.f : nat → bool
constant bla.f : nat → nat
open boo bla
#check f 1
set_option pp.full_names true
#check (f 1 : nat)
#check (f 1 : bool)
set_option pp.full_names false
#check (f 1 : string)
|
aa2e6187815c86ab3dd8d65c075f412c090cdfaa | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/module/ulift.lean | 30f010e5c1d8d5bbca6ba7880b12133f541b4928 | [
"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 | 4,757 | 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... |
7f6e77defd9e31bb25315180094d073c52f9bf1c | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/category/Mon/colimits.lean | 8d42c688a4abeaabfaa31901ba4a3b5a2361907b | [
"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 | 7,751 | 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 algebra.category.Mon.basic
import category_theory.limits.limits
/-!
# The category of monoids has all colimits.
We do this construction knowing nothing about... |
f9b4826cca09b2690b02aa3777d1de821a80fdd6 | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world10/level07.lean | c3fccbedc2caac38ab12fe38ff6eeb0e32c20a81 | [] | 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 | 124 | lean | lemma le_zero (a : mynat) (h : a ≤ 0) : a = 0 :=
begin
cases h with d hd,
symmetry at hd,
exact add_right_eq_zero hd,
end
|
1d46f552386925e4384b17dd1a9d9bf234a0b239 | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world10/level6.lean | c8fcd0d63e89bb5f017fd4ecd46ebeb24bd9d572 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 1,096 | lean | import game.world10.level5 -- hide
namespace mynat -- hide
/-
# Inequality world.
## Level 6: `le_antisymm`
In Advanced Addition World you proved
`eq_zero_of_add_right_eq_self (a b : mynat) : a + b = a → b = 0`.
This might be useful in this level.
Another tip: if you want to create a new hypothesis, you can use... |
5209804b8b1d25e24e75d442d4d0cbad7bc65182 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/number_theory/l_series.lean | 6ce1a7e608658316654a704f6855275af9f74bcd | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 4,842 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import analysis.p_series
import number_theory.arithmetic_function
import topology.algebra.infinite_sum
/-!
# L-series
Given an arithmetic function, we define the co... |
b24288c839829139607a7408a85c72ac316fe4db | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/dynamics/circle/rotation_number/translation_number.lean | 918b0a443710b26a8def43b2dd9643d055c4e1cd | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,249 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import analysis.specific_limits
import order.iterate
import algebra.iterate_hom
/-!
# Translation number of a monotone real map that commutes with `x ↦ x + 1`... |
ad809d59975acce407421665b1d45ead14728865 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/termParserAttr.lean | 648e585fd423aa2c5471f5fdeb45f22536565c6c | [
"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 | 1,039 | lean | import Lean
open Lean
open Lean.Elab
def run (input : String) (failIff : Bool := true) : MetaIO Unit :=
do env ← MetaIO.getEnv;
opts ← MetaIO.getOptions;
let (env, messages) := process input env opts;
messages.toList.forM $ fun msg => IO.println msg;
when (failIff && messages.hasErrors) $ throw (IO.userEr... |
e765b6f3e38b9fa4de2df4e12f721fc4be278fb1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/calculus/specific_functions.lean | c04213c66b69e80e17c7facfe63cb93113141b70 | [
"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 | 15,177 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.extend_deriv
import analysis.calculus.iterated_deriv
import analysis.special_functions.exp_log
import analysis.normed_space.inner_produ... |
70757d4cca6375891795d3b8a75b0e31d6acb80c | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/fourier/fourier_transform.lean | c3dd53ccf025c9a47f8fa9d85c895d178506d957 | [
"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 | 11,637 | lean | /-
Copyright (c) 2023 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import measure_theory.group.integration
import measure_theory.measure.haar_of_basis
/-!
# The Fourier transform
We set up the Fourier transform for complex-valued ... |
ff74cd2a2994486dfc85fa1baaf0c28ced924ef4 | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /bluejam/topprover/40.lean | 6cf877e876891a3421d2ea7eef8e431e412457c4 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,435 | lean | variable f : nat -> bool.
def downward_closed :=
forall m n, m <= n -> f n = tt -> f m = tt.
lemma l1: downward_closed f → ∀ (r n: ℕ), f r = ff → f n = tt → n < r :=
begin
intros h r n h1 h2,
have: ¬ n ≥ r,
intro,
have: f r = tt,
apply h,
apply a,
assumpti... |
ff2e59bd283919de04bde741cdca96f57e752bbf | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/real/nnreal.lean | 73e3c0e715da2db6cdac3223aab00d7aa0d9a46c | [
"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 | 15,714 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import data.real.basic order.lattice
section discrete_field
@[simp] lemma inv_eq_zero {α} [discrete_field α] (a : α) : a⁻¹ = 0 ↔ a = 0 :=... |
b54270e49b40ff171c9ef6f2ed44a1ce943a5b4f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/vector3.lean | ac86ca9953c38245eed2bcd92fef154a9a347a43 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 8,135 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fin.fin2
import tactic.localized
/-!
# Alternate definition of `vector` in terms of `fin2`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to t... |
62a1df10d3ee20fead8557d3402fca6a08fd548c | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/atomic_notation.lean | a75c96abb8703013a2e2342f18952b04e4c9a710 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 107 | lean | import logic data.num
open num
constant f : num → num
notation `o`:1 := 10
check o + 1
check f o + o + o
|
dd730530d9b40be981d78af4a9bfd32c8f4a1523 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finset/nat_antidiagonal.lean | f5037e150821b6233a76cdf0f9c03dc3745f7d20 | [
"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 | 4,799 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.finset.card
import data.multiset.nat_antidiagonal
/-!
# Antidiagonals in ℕ × ℕ as finsets
This file defines the antidiagonals of ℕ × ℕ as finsets: the `... |
e8ced62acf642f3b64e91b822c8b6365db1c5896 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1525.lean | ca3ea2dbe1087b451235ef99d77cefcaa5c1febe | [
"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 | 124 | lean | section t
parameter t : Type
inductive eqt : t -> t -> Prop
| refl : forall x : t, eqt x x
#check eqt
end t
#check eqt
|
1404a107f23f2b043730a6d874e6279720227a31 | c777c32c8e484e195053731103c5e52af26a25d1 | /test/norm_num_ext.lean | d33578ed6e43105852eb1908ab8f95c56886be88 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 13,483 | lean | /-
Copyright (c) 2021 Mario Carneiro All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.big_operators.norm_num
import data.nat.squarefree
import data.int.gcd
import data.nat.fib
import data.nat.prime
import data.nat.sqrt_norm_num
import ana... |
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