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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3ace1fc70fd56c28ff77f27a2983198dfe075172 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/tactic/equiv_rw.lean | d934ddd3caba40793694be2d3fc239cf484909a8 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 12,065 | 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 control.equiv_functor.instances
/-!
# The `equiv_rw` tactic transports goals or hypotheses along equivalences.
The basic syntax is `equiv_rw e`, where `e : α... |
f00fcd475d721b176e87f6127124296a29aea703 | 6b02ce66658141f3e0aa3dfa88cd30bbbb24d17b | /stage0/src/Lean/Parser/Do.lean | c7eb1af7ce4f352a774e8a57498e6e4a6ff1a5a9 | [
"Apache-2.0"
] | permissive | pbrinkmeier/lean4 | d31991fd64095e64490cb7157bcc6803f9c48af4 | 32fd82efc2eaf1232299e930ec16624b370eac39 | refs/heads/master | 1,681,364,001,662 | 1,618,425,427,000 | 1,618,425,427,000 | 358,314,562 | 0 | 0 | Apache-2.0 | 1,618,504,558,000 | 1,618,501,999,000 | null | UTF-8 | Lean | false | false | 7,252 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Term
namespace Lean
namespace Parser
builtin_initialize registerBuiltinParserAttribute `builtinDoElemParser `doElem
builtin_initialize ... |
cf5258f05963cd51ae9703c63f5aec63dc23e6f5 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/ring_theory/fractional_ideal.lean | a9de343bb9234c5c314abc749f3e10c98edaee37 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39,604 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.localization
import ring_theory.noetherian
import ring_theory.principal_ideal_domain
import tactic.field_simp
/-!
# Fractional ide... |
0103c82067fe95f43d77f2fd7a579b4988771854 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/zsqrtd/basic.lean | 680708991c3dfce0b217a1c2e1a62fdb0225bc45 | [
"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 | 26,125 | 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... |
489f2dd93f654b92d384140c278fd0a6f36c554d | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/trace.lean | 7435713f35d8e0d0cb45b1c853a25cc493bd9211 | [
"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 | 1,375 | lean | import Lean.CoreM
open Lean
structure MyState :=
(traceState : TraceState := {})
(s : Nat := 0)
abbrev M := CoreM
def tst1 : M Unit :=
do trace! `module (m!"hello" ++ MessageData.nest 9 (m!"\n" ++ "world"));
trace! `module.aux "another message";
pure ()
def tst2 (b : Bool) : M Unit :=
traceCtx `modu... |
6709c55c15a452c8686064ee168956a63aafcaaa | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tmp/new-frontend/parser/stringliteral.lean | 0440387bf3ca68a003226a8a9579718f3c14661e | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 1,667 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.lean.parser.parsec
namespace Lean
namespace Parser
open MonadParsec
variables {m : Type → Type} {μ : Type} [Monad m] [MonadParsec μ m] ... |
4b1d7253e7b3370ecad45cb4fe52d23b33ebc473 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/topology/algebra/group.lean | c766b209e13f2e092ed405dd18ba239affb20477 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 20,435 | 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 topological groups.
-/
import order.filter.pointwise
import group_theory.quotient_group
import topology.algebra.monoid
import... |
2202d001cc44bc499561f952932865cbc0a4956b | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/int/cast.lean | bd7dee2ef7aab81afae3d28b8677d54c56e29c13 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 11,653 | 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.int.basic
import data.nat.cast
/-!
# Cast of integers
This file defines the *canonical* homomorphism from the integers into a type `α` with `0`,
`1`, `+... |
07912942dec64456caaa23843541073794da6b14 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/category_theory/functor.lean | ab227e097c52360d7d3d9e479d8f82e6fc56e481 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 3,111 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison
Defines a functor between categories.
(As it is a 'bundled' object rather than the `is_functorial` typeclass parametrised
by the underlyin... |
800b05c0d98fa4ff802118bc6d6caf5140209cff | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/prime_ideal.lean | 1ca320f66c408d96bab6ffe9f74b60e0cc6ce5ce | [
"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 | 6,286 | lean | /-
Copyright (c) 2021 Noam Atar. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Noam Atar
-/
import order.ideal
import order.pfilter
/-!
# Prime ideals
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
## M... |
3d4b5d6d10a476b96bb73ddef50629c1e7a05a61 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/measure_theory/l2_space.lean | 08718edfc6e125e972da494e5df82bff5b19afd6 | [
"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 | 5,746 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import analysis.normed_space.inner_product
import measure_theory.set_integral
/-! # `L^2` space
If `E` is an inner product space over `𝕜` (`ℝ` or `ℂ`), then `Lp E 2 μ`... |
376d1cc15448f3e2c56640b3aec5c154110ec370 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/multiset/intervals.lean | 8e88e9c9630dd2d839a6b0bcf477672e79258b95 | [
"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 | 3,613 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.multiset.nodup
import data.list.intervals
/-!
# Intervals in ℕ as multisets
For now this only covers `Ico n m`, the "closed-open" interval containing `[... |
3c8bb443c11f97fe1dea1ef16aaf16787721e86b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/polynomial/coeff.lean | f1b419fa95fa2249d595a7fb6efce78c3dcbc705 | [
"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 | 7,555 | 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.monomial
import data.finset.nat_antidiagonal
/-!
# Theory of univariate polynomials
The theorems ... |
eb50ab69f5c69627c8cc98e151815384b98b5c80 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/set/intervals/disjoint.lean | fa32b6c29e8fa6c757a4016e5620089bcc7f2eeb | [
"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 | 5,726 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Yury Kudryashov
-/
import data.set.lattice
/-!
# Extra lemmas about intervals
This file contains lemmas about intervals that cannot be included into `data.set.int... |
53edf0fda8d0ba5b443882353300eca54a968cec | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/nat/cast.lean | e4d68dc4b3f9b9a9b76c5f0605bbcfe262917a21 | [
"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 | 3,738 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import tactic.interactive algebra.order algebra.ordered_group
namespace nat
variables {α : Typ... |
b650631c4260f2e84b692549f73977c7cff4444c | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/data/finset.lean | 7ebab1aa0233bf1cc68861dcc8bc8739ff173c49 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 101,603 | 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, Jeremy Avigad, Minchao Wu, Mario Carneiro
Finite sets.
-/
import logic.embedding algebra.order_functions
data.multiset data.sigma.basic data.set.lattice
op... |
91d04ec1a02d170a749f5d701a113c129b1c7742 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/algebra/order/compact.lean | c2aa39290434e0c6f0f817f3567c87dab5fe0b94 | [
"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 | 19,141 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Yury Kudryashov
-/
import topology.algebra.order.intermediate_value
import topology.local_extr
/-!
# Compactness of a closed interval
In this file we prove that a clo... |
1f8fd4492200edb5272c049ad0aad01839d2b26b | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/sec_param_pp.lean | bb7555f718e043db90591e85ecdbd854146cdb69 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 281 | lean | section
parameters {A : Type*} (a : A)
variable f : A → A → A
definition id2 : A := a
#check id2
definition pr (b : A) : A := f a b
#check pr f id2
set_option pp.universes true
#check pr f id2
definition pr2 (B : Type*) (b : B) : A := a
#check pr2 num 10
end
|
f5cadb6a3d4b656908af1c4c1fd83840a7ae5ed9 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/measure_theory/measurable_space.lean | 4378d8ab74df1103e8e9bed9384cfaea93eb41f0 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,109 | 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
-/
import data.set.disjointed
import data.set.countable
import data.indicator_function
import data.equiv.encodable.lattice
import order.filter.basic
/-!... |
9e4899ba70e32daac66c93e983ebc4666c23ca0e | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/monotonicity/interactive.lean | fba1aae0844c8931b0b4d0e93d23f74e8bfe95b1 | [
"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 | 23,491 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import tactic.monotonicity.basic
import control.traversable
import control.traversable.derive
import data.dlist
variables {a b c p : Prop}
namespace tactic.interactive
op... |
65cf814f8c7632621fef69fb184011edb6ed1894 | b73bd2854495d87ad5ce4f247cfcd6faa7e71c7e | /src/game/world5/level1.lean | d5c1c51aa0ce80ce7f5140cbb7b17391550c14d3 | [] | no_license | agusakov/category-theory-game | 20db0b26270e0c95a3d5605498570273d72f731d | 652dd7e90ae706643b2a597e2c938403653e167d | refs/heads/master | 1,669,201,216,310 | 1,595,740,057,000 | 1,595,740,057,000 | 280,895,295 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,302 | lean | import category_theory.category.default
import category_theory.functor
import category_theory.isomorphism
universes v₁ v₂ u₁ u₂ -- The order in this declaration matters: v often needs to be explicitly specified while u often can be omitted
namespace category_theory
variables (C : Type u₁) [category.{v₁} C]
variabl... |
d9d4a2df45e43c2d7cc48424c01525576b595837 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/evalWithMVar.lean | e6795fa5495351e18c94243291f29960efb795b6 | [
"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 | 263 | lean | new_frontend
def c {α} : Sum α Nat :=
Sum.inr 10
def Sum.someRight {α β} (s : Sum α β) : Option β :=
match s with
| Sum.inl _ => none
| Sum.inr b => some b
#check Sum.someRight c
#eval Sum.someRight c
#check Sum.someRight (s := c)
#check c.someRight
|
e1905fdc846f22fa7e748a35bf86b0f55d6d62e7 | b29f946a2f0afd23ef86b9219116968babbb9f4f | /src/limsup.lean | 532ce749a2a80dcf889bee8a354c56f38d22eebb | [
"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 | 1,704 | lean | -- amazing theory of limsups
import limits
namespace M1P1
/- Section
Sequences, subsequences, and monotonic subsequences.
-/
/- Sub-section
Definitions
-/
/-
We model a sequence $a₀, a₁, a₂, \dots$ of real numbers as a function
from $ℕ := \{0,1,2,\dots\}$ to $ℝ$, sending $n$ to $a_n$. We sometimes write such
a seq... |
1cee9147634cb36014835f698feccc6b2c82b541 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Elab/Exception.lean | 5487038638558921f8ee463fb28618052a1d4f71 | [
"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 | 1,906 | 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.InternalExceptionId
import Lean.Meta.Exception
namespace Lean
namespace Elab
def registerPostponeId : IO InternalExceptionId :=
registerIntern... |
c550426fa9bb84814518647a3c9a0297001ff1b9 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/bench/rbmap_checkpoint.lean | be612f81babba356ade37b3e80625b5aca22a5f4 | [
"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 | 3,325 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.ordering.basic init.coe init.data.option.basic init.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {... |
2bc8d352e6d4efdbb75f9e570dcec4c8d5e72d7a | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/number_theory/pythagorean_triples.lean | f2a311b5b8db582f199e8f760dbdfee5375d9f29 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 23,774 | lean | /-
Copyright (c) 2020 Paul van Wamelen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Paul van Wamelen.
-/
import algebra.field
import algebra.gcd_domain
import algebra.group_with_zero_power
import tactic
/-!
# Pythagorean Triples
The main result is the classification... |
22feea53a1dfa016c4d97ad8a89990844c54f035 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/reduce1.lean | 342ac55419a93f63df4f806a25bec675ce72b8cd | [
"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 | 1,279 | lean | partial def fact : Nat → Nat
| 0 => 1
| (n+1) => (n+1)*fact n
#eval fact 10
#eval fact 100
theorem tst1 : fact 10 = 3628800 :=
by nativeDecide
theorem tst2 : fact 100 = 9332621544394415268169923885626670049071596826438162146859296389521759999322991560894146397615651828625369792082722375825118521091686400000000... |
5b7dacc0067f5ede350c003db176ccedd397c2f2 | 26b290e100179c46233060ff9972c0758106c196 | /test/cpdt3.lean | 56673d7f51b2b281da6e667468816d88ebae6d65 | [] | no_license | seanpm2001/LeanProver_Mini_Crush | f95f9e06230b171dd84cc49808f5b2f8378c5e03 | cea4166b1b2970fba47907798e7fe0511e426cfd | refs/heads/master | 1,688,908,222,650 | 1,547,825,246,000 | 1,547,825,246,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,717 | lean | import mini_crush
/-
This corresponds to Chapter 2 of CPDT, Some Quick Examples
-/
open list
inductive binop : Type
| Plus
| Times
open binop
inductive exp : Type
| Const : nat → exp
| Binop : binop → exp → exp → exp
open exp
def binop_denote : binop → nat → nat → nat
| Plus := (+)
| Times := (*)
def exp_denote ... |
3c68eb02f8ae1b1441f2167034b7fc16d8271a5a | b815abf92ce063fe0d1fabf5b42da483552aa3e8 | /library/init/data/default.lean | 6fd0e7a95974af837e7a7bacf4242853e94547b1 | [
"Apache-2.0"
] | permissive | yodalee/lean | a368d842df12c63e9f79414ed7bbee805b9001ef | 317989bf9ef6ae1dec7488c2363dbfcdc16e0756 | refs/heads/master | 1,610,551,176,860 | 1,481,430,138,000 | 1,481,646,441,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 311 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.basic init.data.sigma init.data.nat init.data.char init.data.string
import init.data.list init.data.sum init.data.subtype
|
56a0c4ad99daeb7634b56be831898b429be12306 | 4727251e0cd73359b15b664c3170e5d754078599 | /archive/100-theorems-list/42_inverse_triangle_sum.lean | bb722ed24db984ea48a6061a0acf6b1ae40c53e4 | [
"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 | 1,068 | lean | /-
Copyright (c) 2020. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jalex Stark, Yury Kudryashov
-/
import data.real.basic
/-!
# Sum of the Reciprocals of the Triangular Numbers
This file proves Theorem 42 from the [100 Theorems List](https://www.cs.ru.nl/~freek/10... |
45e6c389bcde11b8d6a9cca0da8fe12549995708 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/geometry/manifold/times_cont_mdiff_map.lean | 8f1b506b3e8518a71e8dfa66059bac240e156d24 | [
"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 | 3,388 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Nicolò Cavalleri.
-/
import geometry.manifold.times_cont_mdiff
import topology.continuous_map
/-!
# Smooth bundled map
In this file we define the type `times_cont_mdiff_map` of `n` t... |
5508b6a10765391f3c14ea4d130971508f939a03 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/type_class_performance1.lean | 8de8faeba09f36fe2470bf303aa15ad92177aaa7 | [
"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 | 190 | lean | new_frontend
#print USize
def foo1 (a b : UInt64) : Bool :=
a = b
def foo2 (a b : UInt16) : Bool :=
a = b
def foo3 (a b : UInt32) : Bool :=
a = b
def foo4 (a b : USize) : Bool :=
a = b
|
6bba0e459288df81720e92802bfd847a5da012bf | 7541ac8517945d0f903ff5397e13e2ccd7c10573 | /src/category_theory/idempotent_completion.lean | 3880863a09027e69bc6bbc228acc9a50cd98be22 | [] | no_license | ramonfmir/lean-category-theory | 29b6bad9f62c2cdf7517a3135e5a12b340b4ed90 | be516bcbc2dc21b99df2bcb8dde0d1e8de79c9ad | refs/heads/master | 1,586,110,684,637 | 1,541,927,184,000 | 1,541,927,184,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,174 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import category_theory.equivalence
namespace category_theory
universes u u₁ u₂
structure Idempotent (C : Type (u+1)) [large_category C] :=
(obj... |
28a4c3b41ace737f2476b4aff836d3d2b616449a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebraic_geometry/ringed_space.lean | 7b145c23260892119b164abc46d1ed28a62fac33 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,781 | 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 algebraic_geometry.sheafed_space
import algebraic_geometry.stalks
import algebra.category.CommRing.limits
import algebra.category.CommRing.colimits
import al... |
1de4904e872353daa622c37c9c5b06e73ea353a1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/module/projective.lean | c147cd4606636d20c68dfa38e02d5b1c272a80e0 | [
"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 | 9,682 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Antoine Labelle
-/
import algebra.module.basic
import linear_algebra.finsupp
import linear_algebra.free_module.basic
/-!
# Projective modules
> THIS FILE IS SYNCHRONI... |
c1ba3f18cb7c1141cbd5ef1ec3d802f743102cea | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/group_with_zero.lean | 05ff3d8d95f23e9480bacf7c841aa4b026bf273f | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 37,725 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import logic.nontrivial
import algebra.group.units_hom
import algebra.group.inj_surj
/-!
# Groups with an adjoined zero element
This file describes structures that ... |
1e58622d62540e45411779d6dc9202f3a1b49f73 | ce4db867008cc96ee6ea6a34d39c2fa7c6ccb536 | /src/tactiques.lean | eb0e959c865d649141744279420caa9f2d2be99e | [] | no_license | PatrickMassot/lean-bavard | ab0ceedd6bab43dc0444903a80b911c5fbfb23c3 | 92a1a8c7ff322e4f575ec709b8c5348990d64f18 | refs/heads/master | 1,679,565,084,665 | 1,616,158,570,000 | 1,616,158,570,000 | 348,144,867 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 99 | lean | import .interactive_expr
import .tokens
import .Soit .Montrons .On .Par .Posons .Supposons .Fait
|
f75ff36b9ca257876f3d7972533ba15b71f2593f | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /13_More_Tactics.org.11.lean | 179fc3147fd58fdf951172eead38c827d36fcf33 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 218 | lean | import standard
variable p : nat → Prop
variable q : nat → Prop
variables a b c : nat
example : p c → p b → q b → p a → ∃ x, p x ∧ q x :=
by intros; apply exists.intro; split; eassumption; eassumption
|
a49af8d1f63e4cb5f86e650966cb50f55bf36d4f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/category/NonemptyFinLinOrd.lean | ce6b0d711c3c1be8cd1f17fb24c9ad50cbacfc34 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,168 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.sort
import Mathlib.data.fin
import Mathlib.order.category.LinearOrder
import ... |
6c66b83eb57d4a2d650f7ef83ab26c7d17df5bbb | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /tactic/interactive.lean | 9e454f1b9eb50461b507d18588336719c5bdd29d | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 21,972 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Sebastien Gouezel, Scott Morrison
-/
import data.dlist data.dlist.basic data.prod category.basic
tactic.basic tactic.rcases tactic.generalize_proofs
ta... |
b688925a9a02588ee46c23b745005f140c78355c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/inner_product_space/lax_milgram.lean | b7ed91982ec9e44c3914459a6a27b875934cf083 | [
"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 | 4,653 | lean | /-
Copyright (c) 2022 Daniel Roca González. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Roca González
-/
import analysis.inner_product_space.projection
import analysis.inner_product_space.dual
import analysis.normed_space.banach
import analysis.normed_space.o... |
3358fcfa5e4c4c737c5fce67915ed5689bf57b40 | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level2.lean | 357c20506c55b12554e84db094d55faaa571fcd2 | [
"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 | 198 | lean | import mynat.definition
namespace mynat
theorem succ_succ_inj (a b : mynat) (h : succ(succ(a)) = succ(succ(b))) : a = b :=
begin
apply succ_inj,
apply succ_inj,
exact h,
end
end mynat |
3552bd065424a2263d18f92744e7c5f8d91044d9 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/simp23.lean | 05aa0f6ed91bc5a318fbd0088d92b964816fdd4a | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,227 | lean | variable vec : Nat → Type
variable concat {n m : Nat} (v : vec n) (w : vec m) : vec (n + m)
infixl 65 ; : concat
axiom concat_assoc {n1 n2 n3 : Nat} (v1 : vec n1) (v2 : vec n2) (v3 : vec n3) :
(v1 ; v2) ; v3 = cast (to_heq (congr2 vec (symm (Nat::add_assoc n1 n2 n3))))
... |
d9e773d53aafcfa38c1c39790435a3c7b0dee5bf | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/algebra/ring_bigops.lean | d0ac89458c498048be83e5f65896ab0f3b3f6ade | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 6,130 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Properties of finite sums and products in various structures, including ordered rings and fields.
There are two versions of every theorem: one for finsets, and one for fin... |
898e679ec952a45c2500c025ede7e8bb69ead444 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /tests/lean/run/div_wf.lean | 23ba2c665d781a5bc7e53ccf95e2d42ec03c656d | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 1,739 | lean | open nat well_founded decidable prod
set_option pp.all true
-- Auxiliary lemma used to justify recursive call
private definition lt_aux {x y : nat} (H : 0 < y ∧ y ≤ x) : x - y < x :=
and.rec_on H (λ ypos ylex,
sub_lt (nat.lt_of_lt_of_le ypos ylex) ypos)
definition wdiv.F (x : nat) (f : Π x₁, x₁ < x → nat → nat) (y... |
886673e9bacd8ff90bb1a6ab9e6808a28eb91294 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/topology/uniform_space/complete_separated.lean | d598987b8507715440293a958c2b21afde52d9e8 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 1,358 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Theory of complete separated uniform spaces.
This file is for elementary lemmas that depend on both Cauchy filters and separation.
-/
import topology.uniform_spa... |
3eeef3e755f84fd1d32a017198ecc2350c5ad698 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/sum_bug.lean | 0cecf9d7df4c77e3cb4f95cb12036b3217eac84a | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,332 | 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
import logic
open inhabited decidable
namespace play
-- TODO: take this outside the namespace when the inductive package handles it better
... |
2d1f34caf6917a7ceaf6c311fcba8e3b09d64e00 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/linarith/preprocessing.lean | a8c3b621e165747529ad412b233b10a1d112297f | [
"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 | 12,230 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import tactic.linarith.datatypes
import tactic.zify
import tactic.cancel_denoms
/-!
# Linarith preprocessing
This file contains methods used to preprocess inputs... |
8047a13b0a1a31fd471a83e7a286b4db218ae3b8 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/tools/super/utils.lean | f453886427ec2afa487e23fb9655d1769f38afe6 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,047 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
open tactic expr list
meta def get_metas : expr → list expr
| (var _) := []
| (sort _) := []
| (const _ _) := []
| (mvar n t) := expr.mvar n t :: get_metas t
| (local_... |
66952c389a21690ad21825a45c61e5e6c2eb71b1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/projective_spectrum/topology.lean | f215ce5fce05998485c720d5b01e9dcddbde107f | [
"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 | 18,858 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Johan Commelin
-/
import ring_theory.graded_algebra.homogeneous_ideal
import topology.category.Top.basic
import topology.sets.opens
/-!
# Projective spectrum of a graded ... |
af9563ed9c7da05ea34c9a9a8e6aff55733ac957 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/archimedean.lean | 049100a44a619d382503376a397b3b2b1114f7ba | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 9,980 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Archimedean groups and fields.
-/
import algebra.field_power
import data.rat
variables {α : Type*}
open_locale add_monoid
class archimedean (α) [ordered_add_comm_mon... |
67625246cd70a284e092e2b5209a363df8927a45 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/polynomial/eval.lean | 9e677fd6dc6c5701f645a156408030388979da0f | [
"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 | 34,154 | 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.degree.definitions
import algebra.geom_sum
/-!
# Theory of univariate polynomials
The main defs h... |
4821c26ae3b337b52e04a21bb416c3373c33a799 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/set/semiring.lean | 118766638bb4f51a8503ff26a8069983ad0e2e96 | [
"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 | 4,400 | 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 data.set.pointwise
/-!
# Sets as a semiring under union
This file defines `set_semiring α`, an alias of `set α`, which we endow with `∪` as addition and
... |
cc8a934c1e9cc6e5e7ee5bcd647b1255cb213407 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/def4.lean | 41f238bec565cfd71de5227cc890a78a329b790a | [
"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 | 422 | lean | new_frontend
inductive Foo : Bool → Type
| Z : Foo false
| O : Foo false → Foo true
| E : Foo true → Foo false
open Foo
def toNat : {b : Bool} → Foo b → Nat
| _, Z => 0
| _, O n => toNat n + 1
| _, E n => toNat n + 1
example : toNat (E (O Z)) = 2 :=
rfl
example : toNat Z = 0 :=
rfl
example (a : Foo false) : ... |
6c9bd0df18c5dced7b02593a81266ea8703e5420 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /category_theory/opposites.lean | 95122d5bd7aaea035722ae4a74375a198a60fbea | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,047 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import category_theory.products
import category_theory.types
namespace category_theory
universes v₁ v₂ u₁ u₂ -- declare the `v`'s first; see `ca... |
6380f9ec5f6b6e4666656b4cf6f3e7e509ddf758 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/abelian/pseudoelements_auto.lean | ccc364c54ac10ef7a05d125dc96b1e823da5520c | [] | 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 | 13,913 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.abelian.exact
import Mathlib.category_theory.over
import Mathlib.PostPort
un... |
13a789b749f77abe14b838afdd1b11421bdb1ce4 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/category/Module/basic.lean | e62e57eb55189ee7f09b67f45e1c071cd1c3b220 | [
"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 | 9,776 | lean | /-
Copyright (c) 2019 Robert A. Spencer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert A. Spencer, Markus Himmel
-/
import algebra.category.Group.basic
import category_theory.concrete_category
import category_theory.limits.shapes.kernels
import category_theory.... |
5c13141c702a267350149f94fb4bc0bcb0a7cb38 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/group_power.lean | 6a2b57e383d93399746b2c3ec1e9824c011a1763 | [
"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 | 29,721 | 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
import data.equiv.basic
/-!
# Power operations on monoids and groups
The power operation on monoids and groups.
We separate thi... |
bbb42d13af069ec35437ded74827e9225241d4b5 | 618003631150032a5676f229d13a079ac875ff77 | /src/measure_theory/outer_measure.lean | dbcfd1474c0af2c0f2768cdf68d2af6a00f08d4a | [
"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 | 19,846 | 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
Outer measures -- overapproximations of measures
-/
import analysis.specific_limits
import measure_theory.measurable_space
noncomputable theory
open s... |
94450b0aa29daf41a502bf54f18520bb1d4c405d | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/category_theory/preadditive/schur.lean | 2ee5e3ae131fcc0ab9bbd9e53ee156797ae2c951 | [
"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 | 1,979 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.simple
import category_theory.preadditive
/-!
# Schur's lemma
We prove the part of Schur's Lemma that holds in any preadditive ... |
689f8563d5451a72ee961936b2b7247fdfebb8e5 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/metric_space/gromov_hausdorff_realized.lean | 0799e37f1c6b51038aef43c6d65ac97c78ce3324 | [
"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 | 26,989 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
Construction of a good coupling between nonempty compact metric spaces, minimizing
their Hausdorff distance. This construction is instrumental to study the Gromov-... |
ff06915097438fcc6614e8f30784153f89c55bad | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/nat/succ_pred.lean | 80d7312b5cede8bcd69f3c93a4a301a33d09b1e0 | [
"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 | 1,588 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.succ_pred
/-!
# Successors and predecessors of naturals
In this file, we show that `ℕ` is both an archimedean `succ_order` and an archimedean `pred_order`.... |
9bc5b8d8924cbc0c07a725c7555ec5e774f92bcf | e61a235b8468b03aee0120bf26ec615c045005d2 | /tests/lean/run/newfrontend1.lean | 5b83599338c9209597b3ebd3bf55809ae2ac44d8 | [
"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 | 7,086 | lean | def x := 1
new_frontend
#check x
variables {α : Type}
def f (a : α) : α :=
a
def tst (xs : List Nat) : Nat :=
xs.foldl (init := 10) (· + ·)
#check tst [1, 2, 3]
#check tst
#check (fun stx => if True then let e := stx; HasPure.pure e else HasPure.pure stx : Nat → Id Nat)
#check let x : Nat := 1; x
def foo (a :... |
ceb3593ca3b118d931c371d88370b169f1ff3fcf | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/group_with_zero.lean | 7fe892cfd867db391c3559e0eefd65093fb68501 | [] | 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 | 9,213 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.algebra.monoid
import Mathlib.algebra.group.pi
import Mathlib.PostPort
uni... |
388e010f11bcf819accd69b3a2975695c8ca2c86 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/category/Ring/colimits.lean | 1d3bf64ea8c69610b351622624e934d28ab75d31 | [
"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 | 13,306 | 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.Ring.basic
import category_theory.limits.has_limits
import category_theory.concrete_category.elementwise
/-!
# The category of commutative ri... |
908a740d07639537d41a07f31099d6091860bb81 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/tactic/ring_exp.lean | 96ff42de956bd40bb8f712ed578315121b2352a7 | [
"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 | 56,174 | lean | /-
Copyright (c) 2019 Tim Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Tim Baanen.
Solve equations in commutative (semi)rings with exponents.
-/
import tactic.norm_num
import control.traversable.basic
/-!
# `ring_exp` tactic
A tactic for solving equations i... |
a1a035336d137b8bbb4f07054fe156ab9ade821f | 4a092885406df4e441e9bb9065d9405dacb94cd8 | /src/for_mathlib/order.lean | 99f70d9317ac0dc69c21ffaa1260a601beab7872 | [
"Apache-2.0"
] | permissive | semorrison/lean-perfectoid-spaces | 78c1572cedbfae9c3e460d8aaf91de38616904d8 | bb4311dff45791170bcb1b6a983e2591bee88a19 | refs/heads/master | 1,588,841,765,494 | 1,554,805,620,000 | 1,554,805,620,000 | 180,353,546 | 0 | 1 | null | 1,554,809,880,000 | 1,554,809,880,000 | null | UTF-8 | Lean | false | false | 420 | lean | import order.basic
namespace preorder
variables {α : Type*} {β : Type*}
--def comap [preorder β] (f : α → β) : preorder α :=
--{ le := λ x y, f x ≤ f y,
-- le_refl := λ x, le_refl (f x),
-- le_trans := λ x y z, le_trans (f x) (f y) (f z)}
/-- version of preorder.lift which doesn't use type class inference -/
def l... |
44075f4647132f425ed565d527e21bce7adc7b84 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/category/DistribLattice.lean | 7b7220477b2b933ccc785dc44ee775b33e352952 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 2,429 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.Lattice
/-!
# The category of distributive lattices
This file defines `DistribLattice`, the category of distributive lattices.
Note that [`DistLa... |
4c2555400905bf395a8b71615f32f5713dfbeca9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/polynomial/chebyshev.lean | 5adc60a4038bf694bd8118ca4be6ec121dd12502 | [
"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 | 10,910 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Julian Kuelshammer, Heather Macbeth
-/
import data.polynomial.derivative
import tactic.linear_combination
/-!
# Chebyshev polynomials
The Chebyshev polynomials are tw... |
1deaea8f4643c5dfe369bb4650d7a4e371aa042f | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/algebra/order.hlean | a4208e38c33914d571814df673c365460772c809 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,340 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Various types of orders. We develop weak orders "≤" and strict orders "<" separately. We also
consider structures with both, where the two are related by
x < y ↔ (x ≤ y... |
b1d9b0e3546006ba6aa4612044ee563bba1d2a3c | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/normed_space/affine_isometry.lean | 3ff1ec859ab4feeb0933ef965ef1ab32ddb15fab | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,056 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.normed_space.add_torsor
import analysis.normed_space.linear_isometry
import linear_algebra.affine_space.affine_subspace
/-!
# Affine isometries
In... |
c252eb81a71e7d9992c4196155f8c100725a9586 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed/group/infinite_sum.lean | e6a9535f972f4177653ae87c2b0145b238a7871a | [
"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 | 8,506 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Heather Macbeth, Johannes Hölzl, Yury Kudryashov
-/
import analysis.normed.group.basic
import topology.instances.nnreal
/-!
# Infinite sums in (semi)normed group... |
ac5e129a740d26f23f94a58b2a24d500bfea8c82 | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/ostrowski/polynomial.lean | 86030a9228b43abbc7c73b667d6f3eb33fc330cc | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 8,979 | lean | import data.real.basic
import data.polynomial.basic
import data.polynomial.induction
import data.real.cau_seq
import abvs_equiv
import valuations.basic
import valuations.abv_pid
import valuations.bounded
import for_mathlib.degree
open is_absolute_value
open_locale classical
noncomputable theory
def degree_norm {R} ... |
e5748a05b991fb691cc593a974d2d5c1aad74dcc | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/tauto.lean | 228ac65d5f60f92e6034df5c09ab06dcafc6b69b | [
"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 | 8,337 | 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 logic.basic tactic.solve_by_elim
namespace tactic
open expr
open tactic.interactive ( casesm constructor_matching )
/--
find all assumptions of the shape `¬ (p ... |
c9c3c916c65190cddb925bae362c0383fa86ee9f | abd85493667895c57a7507870867b28124b3998f | /src/topology/metric_space/emetric_space.lean | 2fc74cc22641dc9c3ee508e79b75fc0f6c13c330 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 40,959 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.real.ennreal
import topology.uniform_space.uniform_embedding
import topology.unifo... |
bc990594cdf35a1b5763a3ece9e26d63e1c14aad | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/derive.lean | a53ff6313b32d0ba99f8dba9e1794b10e9573313 | [
"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 | 4,085 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Attribute that can automatically derive typeclass instances.
-/
prelude
import init.meta.attribute
import init.meta.interactive_base
import init.meta.mk_has_r... |
eb496eb56484edbd15bfdb4a3af08b2739e4a5c9 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/measure_theory/ae_eq_fun.lean | 28a75fade317cd1335c06a0f4ae4aa235e6a332d | [
"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 | 21,463 | 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 measure_theory.integration
import order.filter.germ
/-!
# Almost everywhere equal functions
Two measurable functions are treat... |
48190f64807f426a77fdc9eec53fbb4bf611f664 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/analytic/basic.lean | 8468532438eea5769f5b4e9fb9a8463a74d87c48 | [
"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 | 49,449 | lean | /-
Copyright (c) 2020 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.formal_multilinear_series
import analysis.specific_limits
/-!
# Analytic functions
A function is analytic in one dim... |
5897aa10b6fae4b55c562d2459a586b092591c0c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/units.lean | 3f317f7075ec4737616d6b546f6fdc7b841d7144 | [] | 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 | 14,879 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes Hölzl, Chris Hughes, Jens Wagemaker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.basic
import Mathlib.logi... |
cf35678420c53d2f61aad4c1ad03fd8d6c93d9d1 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/tools/debugger/util.lean | 07192a529ef433e5fbf708cec8965b2b903b3331 | [
"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 | 3,961 | 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
-/
namespace debugger
def is_space (c : char) : bool :=
if c = ' ' ∨ c = char.of_nat 11 ∨ c = '\n' then tt else ff
private def split_core : list char → option... |
f7e1b1360b66089346bfe46f4cfec98e617813bc | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/witt_vector/is_poly.lean | 40fd85e10b91661d72786d80dd9887d178754c48 | [
"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 | 23,409 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import algebra.ring.ulift
import ring_theory.witt_vector.basic
import data.mv_polynomial.funext
/-!
# The `is_poly` predicate
`witt_vector.is_poly... |
d5bfb28fb1d2b28cafb9724f86e24670648c4069 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/lie/quotient.lean | 95bce9a6887ca702d1b969559673cd02b35ebe67 | [
"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 | 7,615 | 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 algebra.lie.submodule
import algebra.lie.of_associative
import linear_algebra.isomorphisms
/-!
# Quotients of Lie algebras and Lie modules
Given a Lie submodule of... |
7fa450cf93beefc329713bfcbce6b90e27497ce4 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/277a.lean | b6b0a01e40c81441866cbc33309e363735209232 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 61 | lean | infixl:67 " <>< " => nonexistant
#eval (1 <>< 11 : UInt64)
|
9d7621f3944dc56858fa8490ea7cc238cba54232 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/derivation/to_square_zero.lean | d9d0d6aae248493c7e9f60be77019e42526898d0 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,511 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Andrew Yang
-/
import ring_theory.derivation.basic
import ring_theory.ideal.quotient_operations
/-!
# Results
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any chang... |
61dafa8ccc5cd7e23e20ac34bce8b2579fa69542 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/number_theory/ADE_inequality.lean | 13906a3a352d9bc318122bb66d88e0aa20e2dd21 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,606 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.multiset.sort
import data.pnat.basic
import data.rat.order
import tactic.norm_num
import tactic.field_simp
import tactic.interval_cases
/-!
# The ineq... |
e7f4f908b9706d0f4e10af0106bac0f7fb0163bb | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/complex/basic.lean | b7f9f9f6324fe1724825668eff450d03098b295a | [
"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 | 14,449 | lean | /-
Copyright (c) Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.complex.determinant
import data.complex.is_R_or_C
/-!
# Normed space structure on `ℂ`.
This file gathers basic facts on complex numbers of an analytic ... |
4ea252e109f417be9a966f6a23f4031389fd2be4 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/group/defs.lean | ce364997528562043396f19402145f00c8b85ba4 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 10,982 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Simon Hudon, Mario Carneiro
-/
import algebra.group.to_additive
import tactic.basic
/-!
# Typeclasses for (semi)groups and monoid
In this file we def... |
0b69381cef373909476d6b4a44775c63c296d62c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/polynomial/scale_roots.lean | 30fde081ee111106419c804b43eff7d66b289361 | [
"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 | 5,316 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Devon Tuma
-/
import ring_theory.polynomial.basic
import ring_theory.non_zero_divisors
/-!
# Scaling the roots of a polynomial
This file defines `scale_roots p s` for a po... |
99142ce49dfcb7b868526d921e64fa52704c703e | 6305b69bc7636a761e1a1947508bb5ebad93cb7e | /library/init/meta/congr_tactic.lean | 96b6e7e82f30e3e397874c12f9426a24bcef2cc4 | [
"Apache-2.0"
] | permissive | HGldJ1966/lean | e7f0068f8a69fde3593b77d8a44609ae446d7738 | 049d940167c419cd5935d12b459c0695d8615ae9 | refs/heads/master | 1,611,340,395,700 | 1,503,103,829,000 | 1,503,103,829,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,894 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
-/
prelude
import init.meta.tactic init.meta.congr_lemma init.meta.relation_tactics init.function
namespace tactic
meta def apply_congr_core (clemma : congr_lemma) : tact... |
f73385e0e0db33a68944bfb1cbaabb2ec00f8479 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/bquant.lean | 78bddacc09b0dd11741357916c1a7e700a55bc91 | [
"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 | 252 | lean | import data.nat.bquant
open nat
example : is_true (∀ x, x ≤ 4 → x ≠ 6) :=
trivial
example : is_false (∀ x, x ≤ 5 → ∀ y, y < x → y * y ≠ x) :=
trivial
example : is_true (∀ x, x < 5 → ∃ y, y ≤ x + 5 ∧ y = 2*x) :=
trivial
|
9caa0b7ca6dfc8e501b435d468be7a7d15ddf42b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/replacer.lean | f5c16ce185cff607bef62c72fa8ad864268aba5c | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,822 | 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.core
/-!
# `def_replacer`
A mechanism for defining tactics for use in auto params, whose
meaning is defined incrementally through attributes.
-/
name... |
d52b43c4c291e0ae710573ba28540489d7da9a70 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/metric_space/antilipschitz.lean | 96cb9bf115fe0ab74b57daa8820911d885c6d889 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 5,456 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.metric_space.lipschitz
/-!
# Antilipschitz functions
We say that a map `f : α → β` between two (extended) metric spaces is
`antilipschitz_with K`,... |
3fca447853a8fba49b32b56cb814a6aba9da1642 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Builtin.lean | 1c687997ca1515867a0a0f6cc925e1ef9bf8f744 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 2,936 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Daniel Selsam
-/
import Mathport.Syntax.Translate.Basic
namespace Mathport.Translate
open Lean hiding Expr Expr.app Expr.const Expr.sort Level Level.imax Level... |
3261cd6841d5217ea87fb76244f362a003b74377 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/tactic/lint/type_classes.lean | 06ee1e48c3fe52cc433e2b9556d21f38cdca0b25 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 17,285 | 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, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.basic
/-!
# Linters about type classes
This file defines several linters checking the correct usage of type c... |
45d062862f23077372bcb7c3be5ce9e01e48256b | a7dd8b83f933e72c40845fd168dde330f050b1c9 | /src/category_theory/instances/CommRing/default.lean | 04b4ea738f665e625a2c637fdd6ce04c2e47e501 | [
"Apache-2.0"
] | permissive | NeilStrickland/mathlib | 10420e92ee5cb7aba1163c9a01dea2f04652ed67 | 3efbd6f6dff0fb9b0946849b43b39948560a1ffe | refs/heads/master | 1,589,043,046,346 | 1,558,938,706,000 | 1,558,938,706,000 | 181,285,984 | 0 | 0 | Apache-2.0 | 1,568,941,848,000 | 1,555,233,833,000 | Lean | UTF-8 | Lean | false | false | 308 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.instances.CommRing.basic
import category_theory.instances.CommRing.adjunctions
import category_theory.instances.CommRing.colimits
|
d360b3fedb526cc8d752acd3e3266f2f006fbb6e | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/profNotes/02_polymorphicTypes.lean | 1b5110260c1122aeb5c46eede94fab676db93bb0 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 10,303 | lean | namespace hidden
/-
Inductive, aka algebraic, data types
- sum types
- product types and case analysis
- parametrically polymorphic
- sum of product types and destructuring
-/
/-
SUM TYPES
A value of such a type is "one of these OR
one of those OR one of something else." SUM
means OR in this sense.
-/
indu... |
343605f2a61d066b65759ce2fbae0651613993c2 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/lie/subalgebra.lean | 70b3bafb9cc4f58cfc33bf13c07ef380f92bb215 | [
"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 | 20,325 | 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 algebra.lie.basic
import ring_theory.noetherian
/-!
# Lie subalgebras
This file defines Lie subalgebras of a Lie algebra and provides basic related definitions and... |
ce7447d24ce2e012bf5c1c0037f87056daf66e80 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Meta/AppBuilder.lean | a3fb5aaf1e8fefd1e72a8f3f029380e02b0ee252 | [
"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 | 17,659 | 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.Structure
import Lean.Util.Recognizers
import Lean.Meta.SynthInstance
import Lean.Meta.Check
namespace Lean.Meta
variables {m : Type → Type} [... |
0288bd0781d3501c01a92ecfae3c5d2637ad86e7 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /stage0/src/Lean/Meta/ExprDefEq.lean | 900988a1f366828664af2679e43213cc62778a45 | [
"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 | 57,619 | 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.ProjFns
import Lean.Meta.WHNF
import Lean.Meta.InferType
import Lean.Meta.FunInfo
import Lean.Meta.LevelDefEq
import Lean.Meta.Check
import Lean... |
4b3516c5d79ca730d878d279815276570e6a5f5d | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/logic/eq.lean | 4a9b5f3500087dc9405f7141071055ee670fd0ad | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 3,573 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
Additional declarations/theorems about equality. See also init.datatypes and init.logic.
-/
open eq.ops
namespace eq
vari... |
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