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6b1ecab3d462e4c28354c81c191bfdd1ebf005f6 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/geometry/manifold/times_cont_mdiff.lean | 969f2b694c117518c121b673f33f6210eee8dbce | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 85,713 | 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 geometry.manifold.mfderiv
import geometry.manifold.local_invariant_properties
/-!
# Smooth functions between smooth manifolds
We define `Cⁿ` functions... |
5e2d4212a6f2ae2c8c9a116a253277239f33a24e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/star_subalgebra.lean | de1d13425fc142a73f660d7528a82c8f67f60f84 | [
"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 | 9,154 | lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import algebra.star.subalgebra
import topology.algebra.algebra
import topology.algebra.star
/-!
# Topological star (sub)algebras
A topological star algebra over a top... |
0a7f0f4e47fe25837fb7f4be3616c6c3051ebb28 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/probability/strong_law.lean | 53020a09142fa828eb30f86ca8a99ac6d47154d5 | [
"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 | 37,089 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import probability.ident_distrib
import measure_theory.integral.interval_integral
import analysis.specific_limits.floor_pow
import analysis.p_series
import ana... |
6b698b5583dc1eecb2e29583dc4d3b6a3e6401f1 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/let1.lean | 0631cc8d0839643e366d6352a7dcfa2d25762213 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,149 | lean | prelude -- Correct version
check let bool := Sort 0,
and (p q : bool) := ∀ c : bool, (p → q → c) → c,
infixl `∧`:25 := and,
and_intro (p q : bool) (H1 : p) (H2 : q) : p ∧ q
:= λ (c : bool) (H : p → q → c), H H1 H2,
and_elim_... |
5b5ad927de1e5eca7a2464ae7e6998765a82db8f | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/group_theory/group_action.lean | f935cc23e18c92debc0babe77d428b2666b78828 | [
"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 | 15,740 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.coset
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
open_locale big_operators
open function
/-- Typeclass for types with a scala... |
12b9ad9bf203b79a97fe9d784a7d389f86445335 | 43390109ab88557e6090f3245c47479c123ee500 | /src/xenalib/nat_stuff.lean | 67e9a4413a93c3ec1220ddb41b1b4e645a755ae4 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,113 | lean | import algebra.group_power
theorem nat.cast_pow {α : Type*} [semiring α] (n : ℕ) : ∀ m : ℕ, (n : α) ^ m = (n ^ m : ℕ)
| 0 := nat.cast_one.symm
| (d+1) := show ↑n * ↑n ^ d = ↑(n ^ d * n), by rw [nat.cast_pow d,mul_comm,nat.cast_mul]
theorem int.cast_pow {α : Type*} [ring α] (n : ℤ) : ∀ m : ℕ, (n : α) ^ m = (n ^ m : ℤ)... |
4bc9a9aec14270b5375dcd187a3069eafb034b5a | e09201d437062e1f95e6e5360aab0c9f947901aa | /src/regular/nonregular.lean | 2dfc9f0bd8f1c2035ce99811a8603d1ab3ff7510 | [] | no_license | VArtem/lean-regular-languages | 34f4b093f28ef2f09ba7e684e642a0f97c901560 | e877243188253d0ac17ccf0ae2da7bf608686ff0 | refs/heads/master | 1,683,590,111,306 | 1,622,307,234,000 | 1,622,307,234,000 | 284,232,653 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,134 | lean | import automata.dfa
import data.list.basic
import regular.regex
import regular.list_lemmas
import regular.pumping_lemma
open DFA list pumping
def L0ⁿ1ⁿ := {w | ∃ n, w = (repeat bool.ff n) ++ (repeat bool.tt n)}
@[simp] lemma mem_L0ⁿ1ⁿ_iff {w} : w ∈ L0ⁿ1ⁿ ↔ ∃ n, w = (repeat bool.ff n) ++ (repeat bool.tt n) :=
iff... |
0cf9dc24df5d9078c7d1f019ce2b9fad43a0654c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/locally_convex/basic.lean | 9ae5564e54d2e40840e89bcb9110b292e2356659 | [
"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 | 15,069 | lean | /-
Copyright (c) 2019 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo, Bhavik Mehta, Yaël Dillies
-/
import analysis.convex.basic
import analysis.convex.hull
import analysis.normed_space.basic
/-!
# Local convexity
This file defines absorbent and bala... |
a1a84352e49b3a5f80424b83c4d7ab39261afb5c | 5ee26964f602030578ef0159d46145dd2e357ba5 | /src/for_mathlib/sheaves/presheaf_of_topological_rings.lean | 06707bd988acf1cbe567a51f695c1363fc6518c7 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean-perfectoid-spaces | 569b4006fdfe491ca8b58dd817bb56138ada761f | 06cec51438b168837fc6e9268945735037fd1db6 | refs/heads/master | 1,590,154,571,918 | 1,557,685,392,000 | 1,557,685,392,000 | 186,363,547 | 0 | 0 | Apache-2.0 | 1,557,730,933,000 | 1,557,730,933,000 | null | UTF-8 | Lean | false | false | 2,043 | lean | /-
Presheaf of toplogical rings.
-/
import topology.algebra.ring
import for_mathlib.sheaves.presheaf_of_rings
universes u v
open topological_space
-- Definition of a presheaf of topological rings.
structure presheaf_of_topological_rings (α : Type u) [topological_space α]
extends presheaf_of_rings α :=
(Ftop : ∀... |
62e859a2b408e9ab1cd70b5d8391fd4c30446bc5 | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level9.lean | deba29b3ac6c9023bcd58d16a6c20172e1ebbbe7 | [
"Apache-2.0"
] | permissive | nomoid/lean-proofs | 4a80a97888699dee42b092b7b959b22d9aa0c066 | b9f03a24623d1a1d111d6c2bbf53c617e2596d6a | refs/heads/master | 1,674,955,317,080 | 1,607,475,706,000 | 1,607,475,706,000 | 314,104,281 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 187 | lean | import mynat.definition
import mynat.add
namespace mynat
theorem succ_ne_zero (a : mynat) : succ(a) ≠ 0 :=
begin [nat_num_game]
symmetry,
exact zero_ne_succ a,
end
end mynat
|
9f489731fcd01965608c42996f6110adc8c3ccb8 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/tactic/default.lean | 611ec94c7e02d802b2ddf427b19444b09eec1b8c | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 141 | lean | import
tactic.interactive
tactic.alias
tactic.finish
tactic.mk_iff_of_inductive_prop
tactic.wlog
tactic.monotonicity.interactive
|
3be483d301cb41b48aa4d68a5dac1d273668329c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/interactive_auto.lean | fdc1e008d11797c4013641345fb55c2f42b5748c | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,034 | 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, Jannis Limperg
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.meta.type_context
import Mathlib.Lean3Lib.init.... |
ccd61f4983960644b0101f54b2ee21ea2a5d0ab6 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/bench/binarytrees.lean | d4e07e1f5be36324b197aab464cb97b1e3bb9d22 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 1,691 | lean | inductive Tree
| Nil
| Node (l r : Tree) : Tree
open Tree
instance : Inhabited Tree := ⟨Nil⟩
-- This Function has an extra argument to suppress the
-- common sub-expression elimination optimization
partial def make' : UInt32 -> UInt32 -> Tree
| n d :=
if d = 0 then Node Nil Nil
else Node (make' n (d - 1)) (make' (... |
ef56fc66afcaf0ebb85ebfae18d16f5a2e05a3e5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/constructions/limits_of_products_and_equalizers.lean | a5acd213bbb0816b530af7603fe99f57e110ab2b | [
"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 | 18,121 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.finite_products
import category_theory.limits.preserves.shapes.produc... |
631832fb3c65c6da05b8ae921c1557bdadebdcb7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/induction.lean | c00ea629e2a772ab0515fc9362caa8d2fe005e29 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,599 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.coeff
import Mathlib.PostPort
... |
6c344782fd1c50787a01f7e67e4b6e993b44bca7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/list/comb.lean | 402bb15c38fdc4071048d64297bda775da857493 | [
"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 | 24,593 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Haitao Zhang, Floris van Doorn
List combinators.
-/
import data.list.basic data.equiv
open nat prod decidable function helper_tactics
namespace list
variables {... |
5d2d6242eac6338e9b9bb7158378467aaa08dc98 | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/pullConstantThroughUnion3.lean | 678301a6ab107d312aa3b20e4241eb57c10c809a | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 1,985 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..UDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
constant integer_2: const int
constant integer_3: const int
theorem Rule: forall (Γ scm_t scm_account scm_bonus scm_de... |
8d1f457deb3458e45cd05b672d0c08eb3e0dd712 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/ext.lean | 80b621347b8b1af06dc5e9089c356d376b52cd43 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 10,371 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.rcases data.list.defs data.prod data.sum
universes u₁ u₂
open interactive interactive.types
open lean.parser nat tactic
/--
`derive_struct_ext_lemma n` gene... |
f92cb1b38dd5bb005b50600c94456401e52f61bc | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/big_operators/order.lean | 093e4e390cac32489fa7299ab5dcbe266d31e0cb | [
"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 | 28,176 | 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 algebra.order.absolute_value
import algebra.order.ring.with_top
import algebra.big_operators.basic
import data.fintype.card
/-!
# Results about big operators... |
f03455611af762bbc6920d1699c8fa27869f2da8 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/analysis/normed_space/operator_norm.lean | ceb836f416a5ec13e709eebb9cd719e209d06e6e | [
"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 | 44,187 | lean | /-
Copyright (c) 2019 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import linear_algebra.finite_dimensional
import analysis.normed_space.riesz_lemma
import analysis.asymptotics
/-!
# Operator norm o... |
8931a9a9d244a1bfa8d8bae563705ed3cf88fa1c | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/analysis/calculus/mean_value.lean | 74d315a00638d8d4bb55907eca1a7bb3b8e70072 | [
"Apache-2.0"
] | permissive | FredericLeRoux/mathlib | e8f696421dd3e4edc8c7edb3369421c8463d7bac | 3645bf8fb426757e0a20af110d1fdded281d286e | refs/heads/master | 1,607,062,870,732 | 1,578,513,186,000 | 1,578,513,186,000 | 231,653,181 | 0 | 0 | Apache-2.0 | 1,578,080,327,000 | 1,578,080,326,000 | null | UTF-8 | Lean | false | false | 24,716 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.local_extr
/-!
# The mean value inequality and equalities
In this file we prove the following facts:
* `convex.nor... |
ad1cf28e4f906f2d4129647fbd2dc4df993c3e56 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/seq/wseq.lean | b3a090a28752ca67e277ab823b2ce5a8869033c6 | [
"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 | 55,326 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.dlist
import data.list.basic
import data.seq.seq
open function
universes u v w
/-
coinductive wseq (α : Type u) : Type u
| nil : wseq α
| cons : ... |
7bdb85d7dc4773e84e26155d701b6a6c53f54958 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/topology/continuous_on.lean | 6b8ebb96b9f29a84fc14c166c8388329b2a71801 | [
"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 | 25,138 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
`nhds_within` of `nhds`
`contin... |
85978bb1bf522a977569841bdebcdd25042dd8d7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/new_compiler.lean | 152f1bfb1e1ee17d757ee2ad95fc4ccf714ea703 | [
"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 | 1,712 | lean |
universe u v w r s
set_option trace.compiler.stage1 true
-- set_option pp.explicit true
-- set_option pp.proofs true
def foo (n : Nat) : Nat :=
let x := Nat.zero;
let x1 := Nat.succ x;
let x2 := Nat.succ x1;
let x3 := Nat.succ x2;
let x4 := Nat.succ x3;
let x5 := Nat.succ x4;
let x6 := Nat.succ x5;
let x7 := Nat.su... |
0a7115e59f934ee2750537da289df7bcf7e8b67d | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /hott/init/num.hlean | a3eed88bcd009ef4091f4856e1378ad0bf454731 | [
"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 | 1,818 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic init.bool
open bool
definition pos_num.is_inhabited [instance] : inhabited pos_num :=
inhabited.mk pos_num.one
namespace pos_nu... |
fb790cce91f5d1e709a8af17ccf8d5abad69d56b | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/homeomorph.lean | 3d0ef7172be6cc97f168c41fc07586e63102c161 | [
"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 | 23,704 | 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 logic.equiv.fin
import topology.dense_embedding
import topology.support
/-!
# Homeomorphisms
This... |
1cfe1858b65d5b592e638e3f39611da0df82c68d | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Compiler/IR.lean | 8bb7108c5387617472c886484c0859c6cc224fec | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 2,979 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.IR.Basic
import Lean.Compiler.IR.Format
import Lean.Compiler.IR.CompilerM
import Lean.Compiler.IR.PushProj
import Lean.Compiler.IR.Elim... |
bde641f6594030836683ec395c680fbf4324722d | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/prod.lean | 8295debdca5844a4432bbba4175af5a08dc0bf7e | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 46,987 | 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
-/
import measure_theory.giry_monad
import measure_theory.set_integral
/-!
# The product measure
In this file we define and prove properties about the binary produ... |
629a34bbeab911113f0ba719bf9ffe6b05088d4e | 11e28114d9553ecd984ac4819661ffce3068bafe | /src/rule.lean | f2a04adde96315bd7fdf166199e2da7e15b736b5 | [
"MIT"
] | permissive | EdAyers/lean-subtask | 9a26eb81f0c8576effed4ca94342ae1281445c59 | 04ac5a6c3bc3bfd190af4d6dcce444ddc8914e4b | refs/heads/master | 1,586,516,665,621 | 1,558,701,948,000 | 1,558,701,948,000 | 160,983,035 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,207 | lean | /- Author: E.W.Ayers © 2019 -/
import .util .table
open tactic
/-- Member of a telescope.-/
@[derive decidable_eq]
meta structure hyp :=
(n : name) (bi : binder_info) (type : expr)
/-- A telescope keeps track of all of the names and types of the free variables in the context. -/
meta def telescope := list hyp
meta def ... |
795e15d65c8135a73dbe9000f736215e96eb2de4 | 2ee768fce4d0783536570385ee340d97e2411436 | /src/uniqueness.lean | b28b09d53f7d5b7e8c4eeafe2ee5912c70dcf92a | [] | no_license | agjftucker/exists-unique | 835cf0c0ec622d49dbceb84be37db62e6ab8a6d0 | 1fba6035a08347f424c765d8a1c56b1a15c8abbe | refs/heads/master | 1,683,445,592,336 | 1,622,649,822,000 | 1,622,649,822,000 | 309,485,697 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,863 | lean | import existence continuity monotonicity
local prefix `𝒫`:100 := fun {α : Type} (s : finset α), {t // t ≤ s}
variables {𝒩 : Type} [decidable_eq 𝒩] {T : with_top ℝ}
variables {ℋ : well_behaved_soln 𝒩 T} {ℰ : equity_function 𝒩 T}
variable (crash : ∀ ψ {A : finset 𝒩} (h : A.nonempty) (t : Tt T) (y : X 𝒩),
∃ (η... |
7dfee91f26f07ef60a30703260ae45dc400452fe | 2de8c1580f92bb6c28b60135f589fe9d0513faba | /src/buch_correctness.lean | cebd41895655d0dfdd23031049884e82fce79850 | [] | no_license | FCL-lean/verification | 44a52e40ab78b18654b8d61bb55c2c912a40d2f4 | be02c698c0ca78b18762e3fe7749cdc72a55d197 | refs/heads/master | 1,585,960,207,309 | 1,560,259,990,000 | 1,560,259,990,000 | 155,650,137 | 0 | 0 | null | 1,541,039,704,000 | 1,541,038,972,000 | Lean | UTF-8 | Lean | false | false | 33,009 | lean | import buchberger rtc wf_mv_polynomial
open mv_polynomial
open finsupp
namespace buch
variables {σ : Type*} {α : Type*} [decidable_eq σ] [decidable_eq α] [fintype σ] [decidable_linear_order (σ →₀ ℕ)]
variables [discrete_field α] [is_well_founded (σ →₀ ℕ) (<)] [is_monomial_order (σ →₀ ℕ) (≤)]
section reduc... |
17263dadd09f5d4c8d21e9a0800687764f79b6f8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/minimal.lean | 0143de2bf631836f85044ff175f776901fc8c32b | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 5,089 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.antichain
/-!
# Minimal/maximal elements of a set
This file defines minimal and maximal of a set with respect to an arbitrary relation.
## Main declaratio... |
2eeed19110ff074048126b26f8d891836a866e94 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/special_functions/complex/arg.lean | bf39f95a2c34601f71a5f55dd9ed2cf5042e6035 | [
"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 | 18,499 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.trigonometric.angle
import analysis.special_functions.trigonometric.i... |
ff67a4be006296e0968b806d5bc5ce8ee1db30a5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/sigma/basic_auto.lean | cae93934383c5986f8d856e453e2b9b59e6efacb | [] | 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 | 12,004 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.natural_isomorphism
import Mathlib.category_theory.eq_to_hom
import Mathlib.dat... |
07d870999e4e492303c300a0651f48e33544ad9c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/combinatorics/simple_graph/metric.lean | 9bc039fd1a8801e3238e6584a99c9015553156ac | [
"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 | 3,542 | lean | /-
Copyright (c) 2022 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller, Vincent Beffara
-/
import combinatorics.simple_graph.connectivity
import data.nat.lattice
/-!
# Graph metric
This module defines the `simple_graph.dist` function, which tak... |
a4ee5562fec88928b2507089407e2c32a172d05a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/unicode.lean | 0b91f068c742df5aa268e7c683be924f7af0a794 | [
"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 | 130 | lean | constant N : Type
constant α : N
constant β₁ : N
#check β₁
constant δ : N
#check δ
constant δ₁₁ : N
#check δ₁₁
|
70ac58a01b7b48e67840daff60ff15ddab076826 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /test/monotonicity.lean | 3efb007c251f8879e3f875f7e554fd39513c5dfb | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 8,587 | 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
import measure_theory.measure.lebesgue
import data.list.defs
open list tactic tactic.interactiv... |
0c4c646489ff5db210ac3eda55e2150b2ab34c23 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Compiler/LCNF/PrettyPrinter.lean | ecfec3a5b1d67f22830fc7df32dbf44a6832f768 | [
"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 | 4,283 | 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.PrettyPrinter
import Lean.Compiler.LCNF.CompilerM
import Lean.Compiler.LCNF.Internalize
namespace Lean.Compiler.LCNF
private abbrev indentD :=... |
bb0db8386cdb5c739e09d4c182c84c5dd91b7b5f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/normed_space/lattice_ordered_group.lean | 58eb3fdf14a4545ce3db843d9bbf1f3229d41bc6 | [
"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 | 8,198 | lean | /-
Copyright (c) 2021 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
import topology.order.lattice
import analysis.normed.group.basic
import algebra.order.lattice_group
/-!
# Normed lattice ordered groups
Motivated by the the... |
cc28814663db09eed04c768578bf066b64be691a | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/order/conditionally_complete_lattice.lean | 3791e20716329073845c38690abebee6a39ed52d | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 34,109 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Adapted from the corresponding theory for complete lattices.
Theory of conditionally complete lattices.
A conditionally complete lattice is a lattice in which ev... |
e19cc51d7a9ba3842e1fed863e7a9d3debbff11a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/converter/apply_congr.lean | cf77f977cfb2d4d771427e5a0db83c1f8c05ce96 | [
"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 | 3,368 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lucas Allen, Scott Morrison
-/
import tactic.interactive
import tactic.converter.interactive
/-!
## Introduce the `apply_congr` conv mode tactic.
`apply_congr` will apply congruence ... |
a081fa6cd577d7a0c399bc07c4e8938b92789fc1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/pp_opt_param.lean | cb22ed0a1a4af3020f9c4472c4ae3344ba19bf94 | [
"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 | 110 | lean | #check expr
#check expr ff
def f (x := 3) (y : nat) := y
#check f 3 4
set_option pp.implicit true
#check expr
|
7ffb1a705ae2a42f4ea913aa377bbd59cb00028e | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/polynomial/monomial.lean | 442c3b7c8cca7ed13f1d8e547358fff147807902 | [
"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 | 2,103 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.basic
/-!
# Univariate monomials
Preparatory lemmas for degree_basic.
-/
noncomputable theory
o... |
1ca9d476605ab4387acdb175edcc37ed12bca319 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/apply.lean | 8dfb5201dd57ef86721457df466febacdaff3e9e | [
"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 | 7,900 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import tactic.core
/-!
This file provides an alternative implementation for `apply` to fix the so-called "apply bug".
The issue arises when the goals is a Π-type -- whe... |
75dedfd3b75190e7a9ee3fad4ac91c407690b65f | 3b15c7b0b62d8ada1399c112ad88a529e6bfa115 | /src/Lean/PrettyPrinter/Delaborator/Builtins.lean | cd051b11ac195697ffb49c79235abab7a7257ef3 | [
"Apache-2.0"
] | permissive | stephenbrady/lean4 | 74bf5cae8a433e9c815708ce96c9e54a5caf2115 | b1bd3fc304d0f7bc6810ec78bfa4c51476d263f9 | refs/heads/master | 1,692,621,473,161 | 1,634,308,743,000 | 1,634,310,749,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,776 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.PrettyPrinter.Delaborator.Basic
import Lean.PrettyPrinter.Delaborator.SubExpr
import Lean.PrettyPrinter.Delaborator.TopDownAnalyze
import Lean.Pars... |
57703efb6ca473a2b9e3f1d3203676be9b895ed9 | b29f946a2f0afd23ef86b9219116968babbb9f4f | /src/examples/scratch.lean | 120b6a6fd0cd8e4330154206f82b25f8a07b1275 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/M1P1-lean | 58be7394fded719d95e45e6b10e1ecf2ed3c7c4c | 3723468cc50f8bebd00a9811caf25224a578de17 | refs/heads/master | 1,587,063,867,779 | 1,572,727,164,000 | 1,572,727,164,000 | 165,845,802 | 14 | 4 | Apache-2.0 | 1,549,730,698,000 | 1,547,554,675,000 | Lean | UTF-8 | Lean | false | false | 194 | lean | import data.real.basic tactic.ring
example (a b l m : ℝ) :
abs(a + (b + (-l - m))) = abs(a + (-l + (b - m))) :=
-- by ring -- I think this used to work but now it doesn't
by congr' 1; ring
|
2a307b6bf5cb6e46566d353ecdffb3b8ab161820 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/topology/uniform_space/basic.lean | f7b79f21ce458c68e69bda6da093f6a428176c67 | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 41,956 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
Theory of uniform spaces.
Uniform spaces are a generalization of metric spaces and topological groups. Many concepts directly
generaliz... |
0e84201d6dcb6e9dff6f34855dae7a9a275f5dfa | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/filter/curry.lean | e5aeb997aca00c0b2dc5dd17113be02486bf5508 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 3,667 | lean | /-
Copyright (c) 2022 Kevin H. Wilson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin H. Wilson
-/
import order.filter.prod
/-!
# Curried Filters
This file provides an operation (`filter.curry`) on filters which provides the equivalence
`∀ᶠ a in l, ∀ᶠ b in l', ... |
69c91dfcd83b5ebae49d09066164a0d7cd40c398 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /ideas/sup_inf_world.lean | 2efdd96b70b8a0fdd23330ca55885639e50a6495 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 100 | lean | -- world 1
import data.real.basic
definition is_ub (X : set ℝ) (b : ℝ) := ∀ x ∈ X, x ≤ b
|
c48aad667a2e3f366d86a7e8148b9fe6dfefbc8c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/tuple.lean | 6cffe335c6387380a82e318e613f8b56e61f5252 | [
"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 | 156 | lean | import data.prod
open nat prod
set_option pp.universes true
definition tuple (A : Type) (n : nat) : Type :=
nat.rec_on n A (λ n r, r × A)
check @tuple
|
4c82d5170ca89968ef5cd992274280c23dd43641 | b3fced0f3ff82d577384fe81653e47df68bb2fa1 | /src/linear_algebra/direct_sum_module.lean | 3e0ccf03d9855b04c9879f85e0eda2323bd6d6ff | [
"Apache-2.0"
] | permissive | ratmice/mathlib | 93b251ef5df08b6fd55074650ff47fdcc41a4c75 | 3a948a6a4cd5968d60e15ed914b1ad2f4423af8d | refs/heads/master | 1,599,240,104,318 | 1,572,981,183,000 | 1,572,981,183,000 | 219,830,178 | 0 | 0 | Apache-2.0 | 1,572,980,897,000 | 1,572,980,896,000 | null | UTF-8 | Lean | false | false | 3,512 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Direct sum of modules over commutative rings, indexed by a discrete type.
-/
import algebra.direct_sum
import linear_algebra.basic
universes u v w u₁
variables (R : Type u) [r... |
bf5cbf6aa82fb707f0c8b03b8a7bb5e116970c5f | 57fdc8de88f5ea3bfde4325e6ecd13f93a274ab5 | /order/order_iso.lean | ce0b92ab36bc0930782d9191c2867bd195ace771 | [
"Apache-2.0"
] | permissive | louisanu/mathlib | 11f56f2d40dc792bc05ee2f78ea37d73e98ecbfe | 2bd5e2159d20a8f20d04fc4d382e65eea775ed39 | refs/heads/master | 1,617,706,993,439 | 1,523,163,654,000 | 1,523,163,654,000 | 124,519,997 | 0 | 0 | Apache-2.0 | 1,520,588,283,000 | 1,520,588,283,000 | null | UTF-8 | Lean | false | false | 12,546 | 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 order.basic logic.embedding
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α → α → Prop} {s : β → β → Prop} {t : γ → γ → ... |
169fac68daf325a36cda07e80db1d3a0e734f1ab | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /src/Lean/Elab/Tactic/Conv/Basic.lean | 8cbab09c70e0c86055c7969dcdf5741231fdf345 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,424 | 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.Meta.Tactic.Apply
import Lean.Meta.Tactic.Replace
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.BuiltinTactic
namespace Lean.Elab.Tacti... |
82680b9aa1af4b14b87ff58d600303b574520338 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/init/meta/interactive.lean | ee649985ee3f361185dbefe13ad9d48eb6e8a9be | [
"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 | 30,459 | 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.tactic init.meta.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
c22092b80c8d5d47bfd5161f8e73171ebab61d73 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/tactic/structure_helper.lean | 971af589575ea9f25c68c55bf4ca5b615f0cd592 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 4,525 | lean | import data.string data.list.defs
import tactic.core
def {u v w} list.mfilter_map {m : Type u → Type v} [alternative m] [monad m] {α : Type w} {β : Type u} (f : α → m β) : list α → m (list β)
| [] := return []
| (h :: t) := do h' ← (f h >>= λ v, pure $ list.cons v []) <|> pure [],
t' ← list.mfil... |
a8d9561e4b6526769685f93334dbd121ed0b48bf | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/instances/ennreal.lean | e3879975852f52954314d405f2f81a13de53e822 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 33,426 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import topology.instances.nnreal data.real.ennreal
noncomputable theory
open classical set lattice filter metric
open_locale classical
var... |
4acbb5071a6b6ec291a6ffd12ca5ef21f58b8218 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /disjoint_finset.lean | 93544bcfbe1da7ffbe39d1cc475eba07943e7cc8 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,792 | lean | import data.finset
namespace finset
variable {α : Type*}
def disjoint (s t : finset α) : Prop := ∀ ⦃a⦄, a ∈ s → a ∈ t → false
theorem disjoint.symm {s t : finset α} (d : disjoint s t) : disjoint t s
| a i₂ i₁ := d i₁ i₂
@[simp] theorem disjoint_comm {s t : finset α} : disjoint s t ↔ disjoint t s :=
⟨disjoint.symm, ... |
c0402ce32c9142acc36426e7424fe5b3a7375ece | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/simple_module.lean | 1825410212884430d6bd3c48152135dfcb5968ff | [] | 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 | 4,417 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors : Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.linear_algebra.basic
import Mathlib.order.atoms
import Mathlib.PostPort
universes u_1 u_2... |
8c1853dac7c3e2f02edac31db4dc420f443451d4 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/testing/slim_check/sampleable_auto.lean | 7b26eea14c52fc1feac40378145ae566ce23d22c | [] | 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 | 27,439 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.lazy_list.basic
import Mathlib.data.tree
import Mathlib.data.int.basic
import Mathlib.cont... |
e25394b4b87949b5976c4255cafe2a1967e66c3c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/simpDischargeLoop.lean | c658e567fb14a000dfa0feb227faa09938db61ca | [
"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 | 1,050 | lean | open Nat
def double : Nat → Nat
| zero => 0
| succ n => succ (succ (double n))
theorem double.inj : double n = double m → n = m := by
intro h
induction n generalizing m with
| zero => cases m <;> trivial
| succ n ih =>
cases m with
| zero => contradiction
| succ m =>
simp [double] at... |
52595f54872f7cb50206a623a5429240eed29a89 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/order/hom/ring.lean | 6cc404b68cf77f6f9c56cadbbb365e600684e986 | [
"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 | 15,243 | lean | /-
Copyright (c) 2022 Alex J. Best, Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best, Yaël Dillies
-/
import algebra.order.archimedean
import algebra.order.hom.monoid
import algebra.order.ring.defs
import algebra.ring.equiv
import tactic.by_con... |
592fbee9ed8c65651c4446a163a52b8bb335f52a | a49a42dda6e1ae18983e9264eb962585a900fa99 | /src/circle.lean | 4299a55cdcee84c18874053c593dc27a9adee2f9 | [] | no_license | jamesa9283/Lean-AreaOfACircle | a5d22cbc96bc2cf2f76b79221b0ec65628edc333 | c5d5030eeab98bb6552693de55a77a9cf2c21d20 | refs/heads/master | 1,676,179,712,721 | 1,610,133,816,000 | 1,610,133,816,000 | 327,885,903 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,099 | lean | import data.real.basic analysis.special_functions.trigonometric
import measure_theory.interval_integral
import analysis.special_functions.pow
open_locale real
noncomputable theory
open interval_integral
example : ∫ (x : ℝ) in 0..1, x = 1/2 :=
begin
have : deriv (λ x : ℝ, x^2/2) = λ x, x,
{ ext x,
simp, field_... |
1898f364607b5e0d994a887db23c656d448141ec | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/order/ideal.lean | 98cd460a2f2a9c41e694f6b898bf5c45e4dd4539 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,235 | lean | /-
Copyright (c) 2020 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import order.basic
import data.equiv.encodable.basic
/-!
# Order ideals, cofinal sets, and the Rasiowa–Sikorski lemma
## Main definitions
Throughout this file, `P` is at l... |
e5371e7bb88a0a086bff2fc7fd14b35a503eedaa | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/types.lean | 032c2ed3ad1c1cf2ce8336e881a687a3974c2537 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 4,562 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl
import category_theory.functor_category
import category_theory.fully_faithful
import data.equiv.basic
namespace category_theory
... |
ccdc83dcca1a4848af95e3b65b692324fdc28d8c | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebraic_topology/simplex_category.lean | 335a502fd6a9dd11eb7717855b2afb1f8918f24c | [
"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 | 27,263 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison, Adam Topaz
-/
import category_theory.skeletal
import tactic.linarith
import data.fintype.sort
import order.category.NonemptyFinLinOrd
import category_t... |
4df19d1195a6229f8d558b3c8376ec99b212f93b | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/data/bij_on.lean | e1558ca126793305441998e0fc6ff9b03454e7f0 | [
"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 | 7,040 | lean | import data.equiv.basic
import data.set.function
import for_mathlib
import data.is_equiv
open set equiv
section Bij_on
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
-- A constructive version of bij_on: f : a → b is an equivalence. Note
-- that f is defined on all of α, but its inverse need only be defi... |
da1ba97bb5f91f0d65d69ee89c695126639f1b5d | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/zsqrtd/basic.lean | 076b8bd2f47aa8d221266c8095fbbbb885828df6 | [
"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 | 26,993 | 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 algebra.associated
import tactic.ring
/-- The ring of integers adjoined with a square root of `d`.
These have the form `a + b √d` where `a b : ℤ`. The compo... |
e0e9a866b23696b8fce4547a772aa3b0eddc2a38 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/simps.lean | 665f3c16082e3618d5e42fa6165be337d176a1f6 | [
"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 | 36,319 | lean | import algebra.hom.group
import data.sum.basic
import tactic.simps
universes v u w
-- set_option trace.simps.verbose true
-- set_option trace.simps.debug true
-- set_option trace.app_builder true
open function tactic expr
structure equiv' (α : Sort*) (β : Sort*) :=
(to_fun : α → β)
(inv_fun : β → α)
(left_inv ... |
d59f615fa26fc35b77b83c004d21db355a831ddd | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/interactive/goal_info_rw.lean | f6b0afc9efd92e48b83c11210bf02fef4f2dc42e | [
"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 | 253 | lean | example (p q r : Prop) (h₁ : p = q) (h₂ : q = r) : p = r :=
by rw [h₁,
--^ "command": "info"
←h₂,
--^ "command": "info"
←h₁
--^ "command": "info"
--^ "command": "info"
]
--^ "command": "info"
|
838f77fedd3d96712c819d2f08eed55429abe084 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/charpoly/basic.lean | 630f07ee362112c747b09eb588e05b8714256df0 | [
"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 | 3,650 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import linear_algebra.free_module.finite.basic
import linear_algebra.matrix.charpoly.coeff
import field_theory.minpoly
/-!
# Characteristic polynomial
We define... |
efa6f60d9b21b929b0818b296108166cc6002109 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/subsemigroup/center.lean | 99208d255088d8740c3e59de32bdfd31a6655d65 | [
"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 | 4,968 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jireh Loreaux
-/
import group_theory.subsemigroup.operations
import data.fintype.basic
/-!
# Centers of magmas and semigroups
## Main definitions
* `set.center`: the cente... |
217c351666973e3506ad8404ab59f627627c21d8 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/abelian/right_derived.lean | 4797700212e96993415407836075e6be9f0a6eb1 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 13,901 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Scott Morrison
-/
import category_theory.abelian.injective_resolution
import algebra.homology.additive
import category_theory.limits.constructions.epi_mono
import category_... |
c3bbdd5ac2f9d6c888f73f0bbc74b7c84fb88a61 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Lean/Elab/PreDefinition/Structural.lean | 5976a5b1193a943d85ac026f13e5b7d8f9c8fe5a | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,207 | 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.Util.ForEachExpr
import Lean.Meta.ForEachExpr
import Lean.Meta.RecursorInfo
import Lean.Meta.Match.Match
import Lean.Meta.Transform
import Lean.... |
ad52deda8fc3ef0eba66447fd4d0d9d67e89e07a | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/demos/category_theory.lean | 9e7ac3257bee7327de592a631857532e75badf4a | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 15,347 | lean | import demos.category_theory_imports
/-!
This is a demo of the category theory library in mathlib,
as part of "Lean for the Curious Mathematician 2020".
You can get this file by:
* installing Lean if necessary: https://leanprover-community.github.io/get_started.html#regular-install
* `leanproject get lftcm2020`
* `co... |
5ad21423eb9ae143eb5086ec1c2447a8219f9eab | 246309748072bf9f8da313401699689ebbecd94d | /src/ring_theory/integral_closure.lean | 15ccafb5464e88a8fb9220c8b5ef8b3fe979a72b | [
"Apache-2.0"
] | permissive | YJMD/mathlib | b703a641e5f32a996f7842f7c0043bab2b462ee2 | 7310eab9fa8c1b1229dca42682f1fa6bfb7dbbf9 | refs/heads/master | 1,670,714,479,314 | 1,599,035,445,000 | 1,599,035,445,000 | 292,279,930 | 0 | 0 | null | 1,599,050,561,000 | 1,599,050,560,000 | null | UTF-8 | Lean | false | false | 16,555 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.algebra_tower
/-!
# Integral closure of a subring.
If A is an R-algebra then `a : A` is integral over R if it is a root of a monic polynomial
with coeffici... |
c80e80a5d9573d8a0cb54bb5f581a8a261e3a12e | 2c41ae31b2b771ad5646ad880201393f5269a7f0 | /Lean/Qualities/OtherScarceResources.lean | 09693911a5f64ced628d9b0961440dbacc0fc273 | [] | no_license | kevinsullivan/Boehm | 926f25bc6f1a8b6bd47d333d936fdfc278228312 | 55208395bff20d48a598b7fa33a4d55a2447a9cf | refs/heads/master | 1,586,127,134,302 | 1,488,252,326,000 | 1,488,252,326,000 | 32,836,930 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 618 | lean | -- OtherScarceResources
/-
[OtherScarceResources] is parameterized by an instance of type [SystemType], and it's a sub-attribute to [Efficient].
-/
import SystemModel.System
inductive OtherScarceResources (sys_type: SystemType): Prop
| intro : (exists otherScarceResources: sys_type ^.Contexts -> sys_type ^.Ph... |
4cb1085816bf3b9a4980bd55aac1fc6cd0885e0e | 4c630d016e43ace8c5f476a5070a471130c8a411 | /group_theory/subgroup.lean | ac7eefa6a4b84e95b0e8d6c8997714e95263299a | [
"Apache-2.0"
] | permissive | ngamt/mathlib | 9a510c391694dc43eec969914e2a0e20b272d172 | 58909bd424209739a2214961eefaa012fb8a18d2 | refs/heads/master | 1,585,942,993,674 | 1,540,739,585,000 | 1,540,916,815,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,113 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro
-/
import group_theory.submonoid
open set function
variables {α : Type*} {β : Type*} {a a₁ a₂ b c: α}
... |
2d0d8860190b04f020a7797181d1187584a9c8bd | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/equiv/set.lean | c9771c9240018b95fe43c249470d225ad7eb51d4 | [
"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 | 23,017 | 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.equiv.basic
import data.set.function
/-!
# Equivalences and sets
In this file we provide lemmas linking equivalences to sets.
... |
73c601df959529a0971367c2e2e666fbd1ecc3ec | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/data/vector.lean | 7a1eefc0e3c1c8cd09478bdb95d3ca1518ec01a8 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 4,588 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Tuples are lists of a fixed size.
It is implemented as a subtype.
-/
import data.list
universes u v w
def vector (α : Type u) (n : ℕ) := { l : list α // l.le... |
3c8c8c38eaa2e0c05bd9b073f5f7ec2798121de0 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/data/equiv/basic.lean | 4352e1303f303624c44842262c070c456b8eba0c | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 88,084 | 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 ... |
55c8de70cc85ee8cfe967d8daad6c8a7f4085cb6 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/polynomial/field_division.lean | ee8b817bbe288afc856bf2b9c7102638185a32ae | [
"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 | 19,754 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import algebra.gcd_monoid.basic
import data.polynomial.derivative
import data.polynomial.ring_division
import data.set.pai... |
2fa79abba8f280630955feec55287ee69ccfc98b | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/order/basic.lean | f6b3f7c08e713ec038aa0f16160eb39e913fc858 | [
"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 | 28,258 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import logic.basic data.sum data.set.basic algebra.order
open function
/- TODO: automatic construction of dual definitions / theorems -/
universes u v... |
4ee00b605a9c1e9adcaeacfb26000c71574e40c5 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/analysis/normed_space/real_inner_product.lean | 2ad029a04da2c9a37904e731d8220b4f5b7f638c | [
"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 | 50,726 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Sébastien Gouëzel
-/
import algebra.quadratic_discriminant
import linear_algebra.bilinear_form
import tactic.apply_fun
import tactic.monotonicity
import topology.metric_s... |
ce8ae9c2185f367f628e28993bd493b34b6c74ca | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/set/intervals/basic.lean | 26c6b19a2aa43dc9d76306d15537225d5261c25e | [
"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 | 50,996 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import algebra.ordered_group
import data.set.basic
/-!
# Intervals
In any preorder `α`, we define int... |
3eb4f5e7d6e7e4b5e70a16272c505a1271be87b3 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Server/Rpc/Basic.lean | 31fa53666bb51d304cdc9e220a727c97a27ef7c1 | [
"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 | 4,364 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Data.Lsp.Extra
/-! Allows LSP clients to make Remote Procedure Calls to the server.
The single use case for these is to allow the infoview UI... |
c2989944e474e8cc9462276ebb87ebfc1fb3fe50 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/cairo_secp/constants_spec.lean | 12475b8740e9f39ec3dd9de934df9914c4f9a90a | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 2,614 | lean | /-
Specifications file for constants_spec.cairo
Do not modify the constant definitions, structure definitions, or automatic specifications.
Do not change the name or arguments of the user specifications and soundness theorems.
You may freely move the definitions around in the file.
You may add definitions a... |
33d0d740485565d5e62c4a6c8ecbefc56fbca164 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Meta/Tactic/Injection.lean | c465c7e61526d7d215dc1a75fc380dcb8486e9b8 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,443 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.AppBuilder
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Assert
import Lean.Meta.Tactic.Intro
namespace Lean.Meta
inductive Injec... |
9f95cefc658c8b716b8e53ed423d2330397920f6 | eee9431f1775ed555dbf09e29e071194c6d586bf | /ACE/ex03.lean | 06929cb8c8541a0a2aca21224a1ed8dbcf8b9546 | [] | no_license | Paox2/myWorkInCollege | 0d60abceb28d0228576f87ceb9f0a0aaeb944144 | fadf8a93b27a56b2f5d8f0063087fdb71390cf93 | refs/heads/master | 1,679,972,166,761 | 1,617,740,970,000 | 1,617,740,970,000 | 256,950,200 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,605 | lean | /-
COMP2009-ACE
Exercise 03 (Predicate logic)
This exercise has 2 parts. In the 1st part you are supposed to
formally define what certain relation bewteen humans are (like
Father, brother-in-law etc). Here we use Lean only as a syntax and type checker.
In the 2nd part we play logic poker again :-) b... |
3f2a1c0d87fdf8ba5919f99867838bf7bc20c5f1 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/tactic/abel.lean | 3fbfe92b7ffed7a6032042d23e2af783105db4b6 | [
"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 | 13,130 | 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 tactic.norm_num
/-!
# The `abel` tactic
Evaluate expressions in the language of additive, commutative monoids and groups.
-/
namespace tactic
namespace ab... |
4db1996b86b3c64efeb7ee47b9b14bf389383183 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/meta/declaration.lean | 0f125589fc4e2848a9bef6374993a21086831cb7 | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 5,187 | 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.expr init.meta.name init.meta.task
/-
Reducibility hints are used in the convertibility checker.
When trying to solve a constraint... |
4fb7698d3a9394794664555ba111b86c023c16ef | c3de33d4701e6113627153fe1103b255e752ed7d | /data/bool.lean | 05d912c8928f9b6b0c4a53a03915885f336ec20b | [] | no_license | jroesch/library_dev | 77d2b246ff47ab05d55cb9706a37d3de97038388 | 4faa0a45c6aa7eee6e661113c2072b8840bff79b | refs/heads/master | 1,611,281,606,352 | 1,495,661,644,000 | 1,495,661,644,000 | 92,340,430 | 0 | 0 | null | 1,495,663,344,000 | 1,495,663,344,000 | null | UTF-8 | Lean | false | false | 4,692 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
-/
-- TODO(Jeremy): these used to be proved by rec_simp. Write a special tactic for these, or
-- get auto or super to do them.
namespace bool
... |
4908b900e558dce13e1b55286d017dea67923a95 | 5e42295de7f5bcdf224b94603a8ec29b17c2d367 | /normalizer3.lean | fef5e86fc3237e764a8706167463016ac3c70810 | [] | no_license | pnmadelaine/lean_polya | 9369e0d87dce773f91383bb58ac6fde0a00a1a40 | 1c62b0b3fa71044b0225ce28030627d251b08ebc | refs/heads/master | 1,590,161,172,243 | 1,515,010,019,000 | 1,515,010,019,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,170 | lean | import datatypes norm_num-- blackboard
namespace polya
section aux
#check expr.is_numeral
meta def is_num : expr → bool
| `(bit0 %%e) := is_num e
| `(bit1 %%e) := is_num e
| `(@has_zero.zero _ _) := tt
| `(@has_one.one _ _) := tt
| `(-%%a) := is_num a
| `(%%a / %%b) := is_num a && is_num b
| _ := ff
m... |
cd517ebd4923fb9ab7148524b05aced2557710b0 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/functor/reflects_isomorphisms.lean | 381f1b336220aea7209fbe4bb8f0574f4af2f6d9 | [
"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 | 1,849 | 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.functor.fully_faithful
/-!
# Functors which reflect isomorphisms
A functor `F` reflects isomorphisms if whenever `F.map f` is an isomorphism, `f`... |
da15a0daa2e00598858b9249f64deb738a699a77 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/intervals/basic.lean | 250eba029ea6806add4885c86f8ff46718bf4f49 | [
"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 | 54,383 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import order.min_max
import data.set.prod
/-!
# Intervals
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
... |
52aa55882e877343604a5b7eed21fc886af66a65 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/Tactic/Conv/Simp.lean | 76cdb6fee61a0cb45d22a4ba37f9e4c2a9720bcd | [
"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 | 979 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Tactic.Simp
import Lean.Elab.Tactic.Split
import Lean.Elab.Tactic.Conv.Basic
namespace Lean.Elab.Tactic.Conv
open Meta
def applySimpResul... |
90b269451fce91c558f38047b395cf9403b01d91 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/util/Two.lean | e07d2a036a4816c63cef63418548ba2d54784635 | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 555 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import tidy.at_least_one
import tidy.tidy_attributes
open tactic
inductive Two : Type
| _0 : Two
| _1 : Two
-- TODO ideally this wouldn't require a whole separ... |
dc0a391b96fd81c432c3d5bf9ddc6a07ba999908 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/intervals/group.lean | 218d2dcc821febb5008482ed5fc0c7cf00375ed5 | [
"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 | 8,073 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import data.set.intervals.basic
import data.set.pairwise.basic
import algebra.order.group.abs
import al... |
88efde241755a19673c88dcc7e4b693537482579 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/sheaves/sheaf_condition/sites.lean | 7a6670ad156743b7668004761a6be1d62af2f007 | [
"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 | 23,342 | lean | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
import category_theory.sites.spaces
import topology.sheaves.sheaf
import category_theory.sites.dense_subsite
/-!
# The sheaf condition in terms of sites.
The th... |
99925861745d92a21dd84d5f4ff7303e6456c2f3 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/module/submodule/basic.lean | cff1388b1ad80c0d09f4cf7724d1b1e3d4a575d0 | [
"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 | 16,171 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
import algebra.module.linear_map
import algebra.module.equiv
import group_theory.group_action.sub_mul_action
/-!
#... |
db35c3da5ca24e89590f206b3e50e4333768afac | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/int/parity.lean | da98012fac4f87511c8a8f38863fd676507497b4 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 2,846 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The `even` predicate on the integers.
-/
import .modeq data.nat.parity algebra.group_power
namespace int
@[simp] theorem mod_two_ne_one {n : int} : ¬ n % 2 = 1 ↔ n % 2 ... |
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