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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b947c5372a7f113d21c3ae9a5758ce0f2260f9b2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/fun_like/basic.lean | 802503b21e806add6841f8fb4f6d372106c62c31 | [
"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 | 6,629 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import logic.function.basic
import tactic.lint
import tactic.norm_cast
/-!
# Typeclass for a type `F` with an injective map to `A → B`
This typeclass is primarily for us... |
ce4e2dcb740ed838ee087746103b2e311b86bbd1 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/finset/lattice.lean | a40cba8bfc5a1bd6f3ef568a545c4e3c85c2df60 | [
"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 | 24,935 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.finset.fold
import data.multiset.lattice
import order.order_dual
/-!
# Lattice operations on finsets
-/
variables {α β γ : Type*}
namespace finset
open ... |
cfb0485d51ad0e6bb52d76ff6621c203e7d5efdf | 4fa161becb8ce7378a709f5992a594764699e268 | /src/logic/relation.lean | 067e1d9e7a71ea09d08c3ded18837a0e0d87f989 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 13,260 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Transitive reflexive as well as reflexive closure of relations.
-/
import tactic.basic
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
namespace relation
se... |
03bba40952dbd1de8610e9dab22c076e1087a5d3 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /test/ring.lean | bf1bbffcf67458757a66a1ca8782a81e78e22175 | [
"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 | 2,153 | lean | import tactic.ring
import data.real.basic
example (x y : ℕ) : x + y = y + x := by ring
example (x y : ℕ) : x + y + y = 2 * y + x := by ring
example (x y : ℕ) : x + id y = y + id x := by ring!
example {α} [comm_ring α] (x y : α) : x + y + y - x = 2 * y := by ring
example (x y : ℚ) : x / 2 + x / 2 = x := by ring
example... |
c45eb2495fde1f6e2ce2a5a497591f0c19a330ec | b9dd0f3640eda42cdd8d97060417cb19d5c00eaf | /src/game.lean | fb3fb7a3d036760c70a9de3daa438c6fed6bf80b | [] | no_license | foxthomson/guessgame | 20e3e5854d0a5c1a26335914446c827a711ee53e | 96d542b574949a883a9ed216a4f78e195d61878a | refs/heads/master | 1,670,822,903,666 | 1,599,562,332,000 | 1,599,562,332,000 | 293,782,243 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 472 | lean | import basic
/--
# How to play
The tactic `mk_random_game` will generate a random number between 1 and 100. You can then use the
tactic `guess n` to guess a random number. If you get it right the goal will be solved otherwise it
will add a hypothesis saying whether you were too high or too low. You have 7 guesses.
-... |
ef07e5f92987f548eac3a7192d90f549f8260dc7 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/algebra/ordered_ring.lean | 4f0c561f8b741e04f10621a5ee883521a16facb6 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,617 | 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 tactic.split_ifs order.basic algebra.order algebra.ordered_group algebra.ring data.nat.cast
universe u
variable {α : Type u}
-- `mul_nonneg` and `mul_pos` in... |
de725bb289223364523507e48ee9be2cff5eb93a | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /order/order_iso.lean | 6e85c019047201d66cf0351921556576f6e136b7 | [
"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 | 12,873 | 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 data.nat.basic
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α → α → Prop} {s : β → β → Prop... |
5eae429d024a17d27431c1f721dd89f89aa1bebc | df561f413cfe0a88b1056655515399c546ff32a5 | /3-multiplication-world/l9.lean | a75dad341b714cd6d7cf1c256f586afed55fb931 | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 192 | lean | lemma mul_left_comm (a b c : mynat) : a * (b * c) = b * (a * c) :=
begin
induction b with k Pk,
repeat { rw zero_mul },
rw mul_zero,
refl,
repeat { rw succ_mul },
rw mul_add,
rw Pk,
refl,
end |
0a270d877a5452265e3b59ebdd3acdc28b9035b3 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group/hom_instances.lean | 672efaf836ffbeac75d690243dadc2889ccb9dc6 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 9,640 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group_power.basic
/-!
# Instances on spaces of monoid... |
aec5f43d780f1254335f5310928c21b4e139c55a | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world2/level2.lean | 4b46ba4156067b30a7cd2fa89d1899e91391baa9 | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 1,683 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level1 -- hide
namespace mynat -- hide
/-
# Addition world
Don't forget to use the drop down boxes on the left to see your tactics and
what you have proved so far.
## Level 2: `add_assoc` -- associativity of addition.
It's well-known that ... |
b77150c7a5aba527c30a951c08beccf8b4cb8419 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/alist.lean | 37ca52e6a9c6c0558dc431c2c5b346cdd0f36ae8 | [
"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 | 11,991 | lean | /-
Copyright (c) 2018 Sean Leather. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sean Leather, Mario Carneiro
-/
import data.list.sigma
/-!
# Association Lists
This file defines association lists. An association list is a list where every element consists of
a key ... |
b031d61762cece6b2d0c05fd48d0c82ef6bfc5ab | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-algebra-48.lean | 61e4f5ffb07e799c54180fc0b73e66a9bc62814b | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 307 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.complex.basic
example (q e : ℂ) (h₀ : q = 9 - 4 * complex.I) (h₁ : e = -3 - 4 * complex.I) : q - e = 12 :=
begin
rw [h₀, h₁],
ring,
end
|
bb1bb7a1c434c67c68eede13707d8119ca4a608e | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/group_theory/group_action/group.lean | bd17a40cd2f6fb7e57e322598ec32572061d72f0 | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,875 | 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.group_action.defs
import algebra.group.units
import algebra.group_with_zero
import data.equiv.mul_add
/-!
# Group actions applied to various types of... |
4ac6d9a314904e04bb5698fbf3e06e41f084b0d1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/pfilter.lean | 62df6bcdc89a1d7110e59fc2203c8046e9d05dc1 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 4,159 | lean | /-
Copyright (c) 2020 Mathieu Guay-Paquet. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mathieu Guay-Paquet
-/
import order.ideal
/-!
# Order filters
## Main definitions
Throughout this file, `P` is at least a preorder, but some sections
require more structure, su... |
cfdc9fefe3e442488102c15e596273202cc28ee0 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebraic_geometry/stalks.lean | a4e003619fd0a7cfe702c14c38440ea1df2f4de2 | [
"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 | 7,222 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebraic_geometry.presheafed_space
import category_theory.limits.final
import topology.sheaves.stalks
/-!
# Stalks for presheaved spaces
This file lifts con... |
88cdbd672076a02dfdde6e820b9352cb9a45b895 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/endofunctor/algebra.lean | a43e576f522758fad281ff634b882253fdb2a2c8 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 6,470 | lean | /-
Copyright (c) 2022 Joseph Hua. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta, Johan Commelin, Reid Barton, Rob Lewis, Joseph Hua
-/
import category_theory.limits.final
import category_theory.functor.reflects_isomorphisms
/-!
# Algebras... |
bdd2e40c45e8c967bb4d76c4a898f2f78c936c15 | 6c56e3fbe5d7711b66a3b46f1810b44cfa109768 | /src/week1.lean | 0277077b4010d6ac2a5ba374887530e63d0c396f | [] | no_license | kodyvajjha/lean-mmc2021 | 015e7ba9d2f43397582d42ad282e88c8ce876dc3 | cc774208f9dc041cad4def289357301b4a0a8173 | refs/heads/master | 1,689,416,888,246 | 1,630,161,054,000 | 1,630,161,054,000 | 384,140,257 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,270 | lean | /-
This exercise will guide you through a proof that there are
infinitely many primes.
NOTE: You will need to install mathlib for this.
A good way to confirm if mathlib is installed is to see if
the following imports work.
This tells Lean to import facts about prime numbers.
-/
import tactic
import data.nat.prime... |
9fc645b2c589b96c1a658f1d58e281ed98bf4858 | e21db629d2e37a833531fdcb0b37ce4d71825408 | /src/use_cases/arrcp.lean | 48452762cef91670a3a83efce413550b0bf1697a | [] | no_license | fischerman/GPU-transformation-verifier | 614a28cb4606a05a0eb27e8d4eab999f4f5ea60c | 75a5016f05382738ff93ce5859c4cfa47ccb63c1 | refs/heads/master | 1,586,985,789,300 | 1,579,290,514,000 | 1,579,290,514,000 | 165,031,073 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,400 | lean | /- import rel_hoare
namespace arrcp
open parlang
open parlang.kernel
def tstate := string → ℕ
def state.update (name : string) (val : ℕ) (s : tstate) : tstate :=
λn, if n = name then val else s n
notation s ` & ` n ` ::= ` v := state.update n v s
def init := λ n : ℕ, λ name, if name = "tid" then n else 0
def arr... |
3114f4547c98b77e6317ecb1c5cc6964775c2fba | 60bf3fa4185ec5075eaea4384181bfbc7e1dc319 | /src/game/order/max_API_test.lean | 747275c4aee266ca62539457d522fc510ea3e38e | [
"Apache-2.0"
] | permissive | anrddh/real-number-game | 660f1127d03a78fd35986c771d65c3132c5f4025 | c708c4e02ec306c657e1ea67862177490db041b0 | refs/heads/master | 1,668,214,277,092 | 1,593,105,075,000 | 1,593,105,075,000 | 264,269,218 | 0 | 0 | null | 1,589,567,264,000 | 1,589,567,264,000 | null | UTF-8 | Lean | false | false | 4,822 | lean | import tactic
open_locale classical -- def of max a b is "if a <= b then b else a"
noncomputable theory -- same reason
-- A linear order is a reflexive, transitive, antisymmetric and total relation `≤`
variables {X : Type} [linear_order X] {a b c : X}
-- Note in the below that sometimes we have to supply the variab... |
ff5425bce0b4e4764817ddaabcb0d1bb6b08d1d8 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/algebra/group/compact.lean | 0c223c744d154af653d14ae35ee359a6388d772a | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,413 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.algebra.group.basic
import topology.compact_open
import topology.sets.compacts
/-!
# Additional results on topologica... |
3569bdad2833ef9ff027efbaac5b72275345ad68 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/discrRefinement3.lean | 20774361b66b73bdbf6e4cce071f26c7b4624441 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,261 | lean | inductive Mem (a : α) : List α → Prop where
| head {as} : Mem a (a::as)
| tail {as} : Mem a as → Mem a (a'::as)
infix:50 " ∈ " => Mem
example (a b : Nat) (h : a ∈ [b]) : b = a :=
match h with
| Mem.head => rfl
example {as : List α} (h : a ∈ b :: as) : b = a ∨ a ∈ as :=
match h with
| Mem.head => Or.in... |
9d0a148772eaf74437c2969a724ce45015e08048 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/data/set/card.lean | 01681f03ae0855474358b53991c32cb3e5293e68 | [
"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 | 6,055 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Cardinality of finite sets.
-/
import .finite data.finset.card
open nat classical
namespace set
variable {A : Type}
noncomputable definition card (s : set A) := finset.... |
8e52266588f6c2ba0d0018d07938efc22f396fe7 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Lean/MetavarContext.lean | 053cf2a2502a143c2c58a1c562e27fdaa248ed03 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 40,217 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Reader
import Init.Data.Nat
import Init.Data.Option
import Init.Lean.Data.NameGenerator
import Init.Lean.Util.MonadCache
import ... |
13c505ab764b51c1a840c80fb510120b74d5abdd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/free_module/basic.lean | 25c1a2c1321fecc9927e71a48f4c2801db69c00e | [
"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 | 6,325 | 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.direct_sum.finsupp
import logic.small.basic
import linear_algebra.std_basis
import linear_algebra.finsupp_vector_space
/-!
# Free modules
... |
09f4d38657d53ee44fea4672d7c54c5d573effeb | 5883d9218e6f144e20eee6ca1dab8529fa1a97c0 | /src/exp/subst/type.lean | fdabc5f70beab3e99366ce860f3071a251cd22c7 | [] | no_license | spl/alpha-conversion-is-easy | 0d035bc570e52a6345d4890e4d0c9e3f9b8126c1 | ed937fe85d8495daffd9412a5524c77b9fcda094 | refs/heads/master | 1,607,649,280,020 | 1,517,380,240,000 | 1,517,380,240,000 | 52,174,747 | 4 | 0 | null | 1,456,052,226,000 | 1,456,001,163,000 | Lean | UTF-8 | Lean | false | false | 873 | lean | /-
This files defines the substitution type `subst`.
-/
import exp.type
namespace acie -----------------------------------------------------------------
namespace exp ------------------------------------------------------------------
variables {V : Type} [decidable_eq V] -- Type of variable names
variables {vs : T... |
38ad0d5213c6fc708b91254c812ade737478079e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/young/semistandard_tableau.lean | 993b41bef0539efa8a901361affafc7c63b1af60 | [
"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 | 4,794 | lean | /-
Copyright (c) 2022 Jake Levinson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jake Levinson
-/
import combinatorics.young.young_diagram
/-!
# Semistandard Young tableaux
A semistandard Young tableau is a filling of a Young diagram by natural numbers, such that
... |
214c66a18d074d73fa7f1846d193ca8f0b350923 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /docs/tutorial/category_theory/calculating_colimits_in_Top.lean | 5c9df7216803d9efd32218b64b086c0478d67210 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 3,637 | lean | import topology.category.Top.limits
import category_theory.limits.shapes
import topology.instances.real
/-! This file contains some demos of using the (co)limits API to do topology. -/
noncomputable theory
open category_theory
open category_theory.limits
def R : Top := Top.of ℝ
def I : Top := Top.of (set.Icc 0 1 : ... |
349863a6bb56ea3a3bcb90ddce1cb0c8a9f63d97 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/algebra/ordered_field.hlean | f05877ee6c02d8c3646353359e9a5b77ffcb037e | [
"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 | 20,339 | hlean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
-/
import algebra.ordered_ring algebra.field
open eq eq.ops algebra
set_option class.force_new true
namespace algebra
structure linear_ordered_field [class] (A : Type) exte... |
8c78f5d421d7d4bfdea304e3b149c1002e75c931 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/analysis/convex/specific_functions.lean | 68b6ced1a717525488e6668789fcccd10281044e | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 4,325 | 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 analysis.calculus.mean_value data.nat.parity analysis.complex.exponential
/-!
# Collection of convex functions
In this file we prove that the following fun... |
255cc547f00ca6ac84325fe89578c59c42368e7c | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/KT/KT_defs.lean | ec0593a39f7d9976dce4167b2d4fe53f857119d7 | [
"MIT"
] | permissive | minchaowu/ModalTab | 2150392108dfdcaffc620ff280a8b55fe13c187f | 9bb0bf17faf0554d907ef7bdd639648742889178 | refs/heads/master | 1,626,266,863,244 | 1,592,056,874,000 | 1,592,056,874,000 | 153,314,364 | 12 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 14,113 | lean | /-
Copyright (c) 2018-2019 Minchao Wu. All rights reserved.
Released under MIT license as described in the file LICENSE.
Author: Minchao Wu
-/
import defs
open nnf tactic
meta def frame_restriction : tactic unit :=
do intro `a >> `[simp]
structure KT (states : Type) extends kripke states :=
(refl : reflexive rel . f... |
f85482d7da79cb5d7e5983c7925bdd2331d1898e | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/support.lean | 1ae9169b9dbd834f789a8d4309a52ceb77bba1fb | [
"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 | 10,037 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import order.conditionally_complete_lattice
import algebra.big_operators.basic
import algebra.group.prod
import algebra.group.pi
import algebra.module.pi
/-!
# Sup... |
519827b3d199d5b43b79b19e9e611128e690e85b | d0c6b2ba2af981e9ab0a98f6e169262caad4b9b9 | /src/Std/Data/AssocList.lean | c4d1f6eb5345f8cec9b8b63c2b07b98302133e71 | [
"Apache-2.0"
] | permissive | fizruk/lean4 | 953b7dcd76e78c17a0743a2c1a918394ab64bbc0 | 545ed50f83c570f772ade4edbe7d38a078cbd761 | refs/heads/master | 1,677,655,987,815 | 1,612,393,885,000 | 1,612,393,885,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,107 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
universes u v w w'
namespace Std
/- List-like type to avoid extra level of indirection -/
inductive AssocList (α : Type u) (β : Type v) where
| nil : Asso... |
384cb39c89d03638e7dfc7da837ac67a2028fc36 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/sup_inf/level01.lean | 8c7f226030f2487f1d8f43e70e0ffae77e5dde17 | [
"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 | 1,088 | lean | import game.order.level09
import data.real.basic -- imports the real numbers ℝ
namespace xena -- hide
-- World name : Sup and Inf
/-
# Chapter 3 : Sup and Inf
## Level 1 : Upper bounds
-/
/-
Let $X$ be a set of real numbers.
We say a real number $b$ is an *upper bound* for $X$ if every $x \in X$ is at most $b$.
-... |
404e0ce307dd27cee70d23933352f9682c278316 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/V.lean | 4f7a4c78aa6e8cfd58ae1f046f98edaa1ddda3da | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,680 | lean | import .global
universe u
local notation `Ring` := CommRing.{u}
local notation `Set` := Type u
open CommRing
namespace V_definition
variables (R : Ring)
def V_obj (S : set R)(A : Ring) : Type u := { ζ : ring_hom R A | ∀ x ∈ S, ζ (x) = 0}
lemma mem_V_obj (R : Ring) (S : set R)(A : Ring)(ζ: ring_hom R A) : (∀ x... |
5a58cc0a0fe1945eaaa533ca3f19eb49fe60c5cf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/homotopy/path.lean | 438d71e2d45d3e7abca67cbad8bef02210b4e2d3 | [
"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 | 11,339 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import topology.homotopy.basic
import topology.path_connected
import analysis.convex.basic
/-!
# Homotopy between paths
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> ... |
9e4c5f0e1ab3a69c9c4d399a64a9733b2476780b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/eisenstein_criterion_auto.lean | 210fea88acbaa61b16a2cfff973948cb424bbf5b | [] | 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 | 2,553 | lean | /-
Copyright (c) 2020 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.ideal.operations
import Mathlib.data.polynomial.ring_division
import Mathlib.tactic... |
7aaf6b0652159e86069f7ec100d762198884e768 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/num/lemmas.lean | 949911b3da6295635e04f02ab1f448c7ad6b5b33 | [
"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 | 53,451 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.num.bitwise
import data.int.char_zero
import data.nat.gcd.basic
import data.nat.psub
import data.nat.size
/-!
# Properties of the binary represent... |
475199f3fd9c455814236a43fca1886eafdf57c3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finset/powerset.lean | fc7401ccb03fcfeb51a11035a61ca899108ea30e | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 11,861 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.finset.lattice
/-!
# The powerset of a finset
-/
namespace finset
open function multiset
variables {α : Type*} {s t : finset α}
/-! ### powerset -/
se... |
2d4b906991f0f58a3405a57b6ff0b5789a3666d7 | abd677583c7e4d55daf9487b82da11b7c5498d8d | /src/prop.lean | b543f25a0d2c872eb1da329f8d5218cb79ad834f | [
"Apache-2.0"
] | permissive | jesse-michael-han/embed | e9c346918ad58e03933bdaa057a571c0cc4a7641 | c2fc188328e871e18e0dcb8258c6d0462c70a8c9 | refs/heads/master | 1,584,677,705,005 | 1,528,451,877,000 | 1,528,451,877,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,759 | lean | import .exp .print
namespace prop
variable {α : Type}
class is_symb (α : Type) :=
(true : α) (false : α) (not : α)
(and : α) (or : α) (imp : α)
def true [is_symb α] := @exp.cst α (is_symb.true α)
notation `⊤'` := true
def false [is_symb α] := @exp.cst α (is_symb.false α)
notation `⊥'` := false
def not [is_symb ... |
bcff684ca073661a950a423dcd9c6266c88be115 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/topology/metric_space/gromov_hausdorff.lean | 9897180fdc3f9bc2da389ba1589e27a730271e9b | [
"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 | 56,716 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
-/
import topology.metric_space.closeds set_theory.cardinal topology.metric_space.gromov_hausdorff_realized
topology.metric_space.completion
/-!
# Gromov-Hausdorf... |
b3f326194cc1353151519b599eae57a0881f739b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/whnf_tac.lean | bbaa1be3df5fec321c01f9b8dba1632812613f17 | [
"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 | 142 | lean | import logic
definition id {A : Type} (a : A) := a
theorem tst (a : Prop) : a → id a :=
begin
intro Ha,
whnf,
state,
apply Ha
end
|
5b30e6b7194f0607889b7a401282ad274b1e8e75 | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /zeptometer/topprover/10.lean | 87cb10a80d6365a89698ad685f08258456e380f0 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,763 | lean | -- 10.lean
def prefix_sum : ℕ → list ℕ → list ℕ
| sum [] := [sum]
| sum (head :: tail) := sum :: (prefix_sum (sum + head) tail)
def plus_list : list ℕ → list ℕ → list ℕ
| [] _ := []
| _ [] := []
| (h1 :: t1) (h2 :: t2) := (h1 + h2) :: (plus_list t1 t2)
lemma plus_list_nil_l : ∀l, plus_list [] l = [] :=
b... |
798ebcfd400c73f871ee0cc717fb2a93461ff7f7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/GeneralizeTelescope.lean | d6a77e87edd42ed2fcedc8da5736cb4fd4b8facd | [
"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 | 3,857 | 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.KAbstract
import Lean.Meta.Check
namespace Lean.Meta
namespace GeneralizeTelescope
structure Entry where
expr : Expr
type : E... |
41c0bddc44fad71a647eeb0b97f821e6bcaf8548 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Widget/InteractiveCode.lean | 280ea1e53b046ec448ff5135ce040c0b6089c131 | [
"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 | 3,517 | 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.PrettyPrinter
import Lean.Server.Rpc.Basic
import Lean.Server.InfoUtils
import Lean.Widget.TaggedText
import Lean.Widget.Basic
/-! RPC infrast... |
0c6826fe6d200204c624274ceb9cbd0c73878e3f | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/notation7.lean | 95492fc603068cd315d7f73f0d3ab200caa8ff8b | [
"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 | 203 | lean | --
open num
constant f : num → num
constant g : num → num → num
notation A `:+1`:100000 := f A
#check g 0:+1:+1 (1:+1 + 2:+1):+1
set_option pp.notation false
#check g 0:+1:+1 (1:+1 + 2:+1):+1
|
e987ab01b090b379b1c70cf8e0a5a032fa1690fa | 28be2ab6091504b6ba250b367205fb94d50ab284 | /levels/my_solutions/world2_multiplication.lean | 3320d078e17e1b83ca19aa1ee89d8637e407daa3 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 2,344 | lean | import solutions.world1_addition -- addition lemmas
import mynat.mul
/- Here's what you get from the import:
1) The following data:
* a function called mynat.mul, and notation a * b for this function
2) The following axioms:
* `mul_zero : ∀ a : mynat, a * 0 = 0`
* `mul_succ : ∀ a b : mynat, a * succ(b) = a * ... |
6c9a5352832e099302dcceac4a96d09462b0a08c | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/group_theory/finiteness.lean | b94a20928c61a54d1298a0626936ba9b3c79c58b | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,278 | 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 data.set.finite
import group_theory.submonoid.operations
import group_theory.subgroup
/-!
# Finitely generated monoids and groups
We define finitely gener... |
88d0c7cba1add3b4c49598a4a124c7558d74e5e4 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/is_nil.lean | 75925f30d347e820fd83ec0aa95cd6c635980455 | [
"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 | 1,341 | lean | import logic
open tactic
inductive list (A : Type) : Type :=
nil {} : list A,
cons : A → list A → list A
namespace list end list open list
open eq
definition is_nil {A : Type} (l : list A) : Prop
:= list.rec true (fun h t r, false) l
theorem is_nil_nil (A : Type) : is_nil (@nil A)
:= of_eq_true (refl true)
theore... |
57e0c78929d2b749e14f11d0c41f6642a3de3d66 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/special_functions/integrals.lean | 22b8ec9e9bff1bffdfe393d01fc09c64f4acd6ad | [
"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 | 32,769 | lean | /-
Copyright (c) 2021 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson
-/
import measure_theory.integral.fund_thm_calculus
import analysis.special_functions.trigonometric.arctan_deriv
/-!
# Integration of specific interval integrals
... |
e257318d13a56e93c6bf7a22802be2a218b82278 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/id.lean | 930393a6d63460ad334c5ebd14bfaaed3848b511 | [
"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 | 157 | lean | #check id id
set_option pp.universes true
#check id id
#check id Prop
#check id nat
#check @id.{0}
#check @id.{1}
#check id nat.zero
#check @eq
#check eq eq
|
808c1a6f43456bcd21bc7b35a5d38ef3c956abc1 | 87fd6b43d22688237c02b87c30d2a524f53bab24 | /src/game/sets/sets_level01.lean | 3609d38ede0c5c35dbed2092f0de1f2acf1bf309 | [
"Apache-2.0"
] | permissive | grthomson/real-number-game | 66142fedf0987db90f66daed52f9c8b42b70f909 | 8ddc15fdddc241c246653f7bb341df36e4e880a8 | refs/heads/master | 1,668,059,330,605 | 1,592,873,454,000 | 1,592,873,454,000 | 262,025,764 | 0 | 0 | null | 1,588,849,107,000 | 1,588,849,106,000 | null | UTF-8 | Lean | false | false | 1,928 | lean | import data.set.basic -- hide
import kb_defs -- hide
namespace xena -- hide
open_locale classical -- hide
variable X : Type -- we will think of X as a set here
/-
# Chapter 1 : Sets
## Level 1 : Introduction to sets.
This chapter assumes you are familiar with the following tactics:
`rw`, `intro`, `apply`, `exact... |
8d77c7dac5f9399d02740a3f613c638a30c51b18 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/set_theory/pgame.lean | 95659680937f891711412f00711493cf9e731974 | [
"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 | 39,283 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison
-/
import logic.embedding
import data.nat.cast
/-!
# Combinatorial (pre-)games.
The basic theory of combinatorial games... |
502a7d39ad29bc818e43f54962acb3fca7c16903 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/measure_theory/integration.lean | 57677059d39e01d050d91969b618aee4b0d4bcd5 | [
"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 | 71,660 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
-/
import measure_theory.measure_space
import measure_theory.borel_space
import data.indicator_function
import data.support
/-!
# Lebesgue integral for ... |
2acb031483b498cffb07219affbc6f69498437a4 | 246309748072bf9f8da313401699689ebbecd94d | /src/order/ord_continuous.lean | 083a2bb27731b4b8049a158e19fa609a1ac418bc | [
"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 | 8,037 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Johannes Hölzl
-/
import order.conditionally_complete_lattice
import logic.function.iterate
import order.rel_iso
/-!
# Order continuity
We say that a function... |
194e5a7f4892722112e0da92abfa582cb7387d2e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finset/finsupp.lean | 79b9b47bdf144f5635d8c3363ace4879de381289 | [
"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 | 3,241 | 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 algebra.big_operators.finsupp
import data.finset.pointwise
import data.finsupp.indicator
import data.fintype.big_operators
/-!
# Finitely supported product of fin... |
38c92e2bb8e5067c2c3bfd2d47d4af45eee5b5ee | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/group/unique_prods.lean | 3fc479cc41994a0c898b73b8fa769426d91aa543 | [
"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 | 9,339 | lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.finset.preimage
/-!
# Unique products and related notions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
1b64ba4e3706296fc3f0a7f9b905d137128f209f | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/shrinking_lemma.lean | 7c346e2dd844338ec1a07b46f59a8f2ea293b883 | [
"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 | 12,196 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Reid Barton
-/
import topology.separation
/-!
# The shrinking lemma
In this file we prove a few versions of the shrinking lemma. The lemma says that in a normal
top... |
0b566dd7442a7e262e2050fc1da23702fd4ac986 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/toExpr.lean | 4c7dacc419a40a0e815cc4b46a9c848cc2e79a7e | [
"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 | 821 | lean | import Init.Lean
open Lean
unsafe def test {α : Type} [HasToString α] [ToExpr α] [HasBeq α] (a : α) : MetaIO Unit := do
env ← MetaIO.getEnv;
let auxName := `_toExpr._test;
let decl := Declaration.defnDecl {
name := auxName,
lparams := [],
value := toExpr a,
type := toTypeExpr α,
hints := Redu... |
5c580b2d95b0b8ce732109e4329ef8feb3f4feb8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/sites/sheaf_of_types.lean | 739d9e26129c922cbfa45367ab143d891d50bb4d | [
"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 | 40,787 | 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.sites.pretopology
import category_theory.limits.shapes.types
import category_theory.full_subcategory
/-!
# Sheaves of types on a Grothendieck top... |
523ac9e684db157c691bb9bd0b07ecc098e69eda | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/adjugate.lean | d2877ef3ef6fa3ad4d78f8b29d8295685ffcd0b5 | [
"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 | 21,477 | lean | /-
Copyright (c) 2019 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.regular.basic
import linear_algebra.matrix.mv_polynomial
import linear_algebra.matrix.polynomial
import ring_theory.polynomial.basic
/-!
# Cramer's rule and... |
f64c7dc415ff09d45484a41f3969caafd0355ae1 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Elab/Tactic/BuiltinTactic.lean | 7b2a3803a44193931033f942fd9cae65bc6e61ff | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,148 | 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.Basic
namespace Lean.Elab.Tactic
open Meta
@[builtinTactic Lean.Parser.Tactic.«done»] def evalDone : Tactic := fun _ =>
done
@[... |
0f4eb2768dcfa38d3cf9980e3e415581003de91c | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/algebra/module/basic.lean | a72ce6cc45ebe34f26dfe7cf37e323f20ef69059 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,470 | 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.big_operators.basic
import algebra.smul_with_zero
import group_theory.group_action.group
/-!
# Modu... |
fdc2172034539feb7d13c8d59987205627253077 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/lie/direct_sum.lean | 1b8a6dd8e8ed73682b31ba6aa6e8486d4fdf3ca0 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 8,638 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.direct_sum.module
import algebra.lie.of_associative
import algebra.lie.submodule
import algebra.lie.basic
/-!
# Direct sums of Lie algebras and Lie modules
... |
64f677a08ab6f8c3e767d6533d0b715515978a67 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/matrix/dmatrix.lean | 4a80dde055876fc9e497f923fe693c79413bf2ed | [
"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 | 5,581 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.pi
import data.fintype.basic
/-!
# Matrices
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to... |
0ec806ac6c55cc573c1aeaad89dec1d49bbc1ad5 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Util/OrderedTagAttribute.lean | 5c4ef60d30b7db7930d634d94d26c7448a0ffc95 | [
"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 | 1,744 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Lean.Attributes
open Lean
namespace Lake
structure OrderedTagAttribute where
attr : AttributeImpl
ext : PersistentEnvExtension Name Name (Array Na... |
2d28c0055c64d71ed8798d0aebeacd8906c6b360 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /doc/examples/Certora2022/ex24.lean | bd832421fb7e7b6e82bd3d17b0a7e92c3b408a38 | [
"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 | 286 | lean | /- induction tactic -/
example (as : List α) (a : α) : (as.concat a).length = as.length + 1 := by
induction as with
| nil => rfl
| cons _ xs ih => simp [List.concat, ih]
example (as : List α) (a : α) : (as.concat a).length = as.length + 1 := by
induction as <;> simp! [*]
|
ae65e5b0f2a63a87f3d33b730da5917d98c886ff | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/algebra/module.lean | c4c1fe3bfe587c122875f86cee27db22c920831e | [
"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 | 9,720 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
Theory of topological modules and continuous linear maps.
-/
import topology.algebra.ring linear_algebra.basic ring_theory.algebra
o... |
0f1754db83789ce1a9f5cf2a8641fb795be68acc | 4727251e0cd73359b15b664c3170e5d754078599 | /src/tactic/reserved_notation.lean | ef38b2b65197e194c63062b352d21c75a00bbd72 | [
"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 | 1,543 | lean | /-
Copyright (c) 2020 Bryan Gin-ge Chen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bryan Gin-ge Chen
-/
/-!
# Reserved notation
This file is imported by `logic.basic` and `logic.relator` to place it at the top of the
import graph.
We place all of `mathlib`'s re... |
336a17589af71d8147bd74dd79af2b4fda0885a3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/padics/hensel.lean | afe249817117d51f6363505df705d057b5b363ea | [] | 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 | 2,893 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.padics.padic_integers
import Mathlib.topology.metric_space.cau_seq_filter
import Mat... |
2ec179a0a11ef1a19cf64a1e23bd54dc9dd9a8b3 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /hott/algebra/group.hlean | fc97286f5b612d3c9b764aab80ba960efa0e4998 | [
"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 | 17,951 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.group
Authors: Jeremy Avigad, Leonardo de Moura
Various multiplicative and additive structures. Partially modeled on Isabelle's library.
-/
import algebra.binary
open eq trun... |
4ae68852d75b9bec8c654746ebcf5302e18cd809 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/homotopy/susp.hlean | 6e3af542103430d995d64b4289f0b9e339ee6e44 | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 17,715 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Ulrik Buchholtz
Declaration of suspension
-/
import hit.pushout types.pointed2 cubical.square .connectedness
open pushout unit eq equiv pointed is_equiv
definit... |
084634cfbe04942413e373ff60aa20891fc05117 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/monad/kleisli_auto.lean | 97e208530167163a1bc23ce5e236315055e86ac9 | [] | 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 | 2,628 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Wojciech Nawrocki, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.adjunction.default
import Mathlib.category_theory.monad.... |
3ada4dcc09e9369e5545e8f7624e119e4c1934bc | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Control/EState.lean | a732269f386ce35dc127aa90d07580ad797f0ac1 | [
"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 | 5,610 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.State
import Init.Control.Except
universes u v
namespace EStateM
inductive Result (ε σ α : Type u)
| ok {} : α → σ → Result... |
53667af5e5c0a854bcef959f910cc7d4289aef37 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/order/filter/partial.lean | 87ed9bd79a8c5bc93068918c48eddb3c3759de9c | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,749 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import order.filter.basic
/-!
# `tendsto` for relations and partial functions
This file generalizes `filter` definitions from functions to partial functions and relat... |
c765a8360a408dc02bc0a9525cbeea698a95a4ce | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/geometry/manifold/charted_space.lean | 3edfdbbcac523f33f36250304fadeac2c43d0dcf | [
"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 | 50,658 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.local_homeomorph
/-!
# Charted spaces
A smooth manifold is a topological space `M` locally modelled on a euclidean space (or a euclidean
half-... |
7e41efec7f6c2d1cad893674b70556ddeb9dd62a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/intervals/pi.lean | b9a28ce41fd2321d50b22a5ba112e6cbe0237ad6 | [
"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 | 6,141 | 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 data.set.intervals.basic
import data.set.lattice
/-!
# Intervals in `pi`-space
In this we prove various simple lemmas about intervals in `Π i, α i`. Closed... |
d1e7bca3ef1b40bb5ff7483ebf98eebb545d8fdd | 3446e92e64a5de7ed1f2109cfb024f83cd904c34 | /src/game/world2/level8.lean | b3570214ff588be94e2453e5674c0baadf7fc055 | [] | no_license | kckennylau/natural_number_game | 019f4a5f419c9681e65234ecd124c564f9a0a246 | ad8c0adaa725975be8a9f978c8494a39311029be | refs/heads/master | 1,598,784,137,722 | 1,571,905,156,000 | 1,571,905,156,000 | 218,354,686 | 0 | 0 | null | 1,572,373,319,000 | 1,572,373,318,000 | null | UTF-8 | Lean | false | false | 1,377 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level7 -- hide
namespace mynat -- hide
/-
# World 2 -- Addition World
## Level 8 -- `eq_iff_succ_eq_succ`
You have these:
* `zero_ne_succ : ∀ (a : mynat), zero ≠ succ(a)`
* `succ_inj : ∀ a b : mynat, succ(a) = succ(b) → a = b`
* `add... |
d73e8669cb4f8616b44a31b07ae1135bdd60091c | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/shapes/wide_pullbacks.lean | de96e44f7620d1c52ba39c2dec88378d41cb56db | [
"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 | 5,406 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.limits
import category_theory.sparse
/-!
# Wide pullbacks
We define the category `wide_pullback_shape`, (resp. `wide_pushout_shape`) which... |
b406a86b32e652b0433aa5761bc667b74d1b14bf | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/quotient.lean | 82c1ccb8eae7d8bee150d5d46cb8d4a819ee682b | [
"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 | 2,062 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import data.set_like.basic
/-!
# Algebraic quotients
This file defines notation for algebraic quotients, e.g. quotient groups `G ⧸ H`,
quotient modules `M ⧸ N` and ideal... |
f7bf887708e5fcc3830810dfb9ccec0731cbe3d6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/big_operators/pi.lean | dd4d4d6481263aa558b11f38011162a3a0cae925 | [
"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 | 3,885 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import algebra.big_operators.basic
import algebra.ring.pi
/-!
# Big operators for Pi Types
This file contains theorems relevant to big operators in binary... |
4d2a8b365a7db6913c4850e27052563d0e37c68d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/Check.lean | 47582e08502a0be0369fecc844e7867d2202891e | [
"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 | 7,140 | 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.Meta.InferType
/-!
This is not the Kernel type checker, but an auxiliary method for checking
whether terms produced by tactics and `isDefEq` ar... |
eb5a5333a78f69ff6460fc65ca7c0e815c20df29 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/data/hf.lean | 4ca9ff27b417a2038ed4989dd0a32d9ad61d0fba | [
"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 | 25,343 | 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
Hereditarily finite sets: finite sets whose elements are all hereditarily finite sets.
Remark: all definitions compute, however the performace is quite poor s... |
ee752c3173995f615c395627c93d2e0f33e19f10 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Data/Lsp/Ipc.lean | 29325d1a79760db2cddd9c4e0c8bea571ab53611 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 2,832 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Lean.Data.Json
import Lean.Data.Lsp.Communication
import Lean.Data.Lsp.Diagnostics
import Lean.Data.Lsp.Extra
/-! Prov... |
ee4a994aaa55fd1ea3079fb7da056a3bbee5d1a5 | 98beff2e97d91a54bdcee52f922c4e1866a6c9b9 | /src/applications/sheaves_on_a_site.lean | 2661d28ac5f51c6003d5048fb6b5cbe3b9f7287a | [] | no_license | b-mehta/topos | c3fc43fb04ba16bae1965ce5c26c6461172e5bc6 | c9032b11789e36038bc841a1e2b486972421b983 | refs/heads/master | 1,629,609,492,867 | 1,609,907,263,000 | 1,609,907,263,000 | 240,943,034 | 43 | 3 | null | 1,598,210,062,000 | 1,581,877,668,000 | Lean | UTF-8 | Lean | false | false | 3,505 | lean | import applications.topologies
import opens
/-!
The category `Sheaf` of (set-valued) sheaves on a site is defined, using the sheaf condition as
defined in `grothendieck.lean`. It's defined somewhat abstractly, but an equivalent condition
(`grothendieck.sheaf_condition'`) is given there too, which is more concrete.
-/
... |
fd49ae6860945267ceee61ddb3620e31e98fc81a | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/logic/basic.lean | 7d8a1255931ab8724f1b1987df1dc82518c88f2f | [
"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 | 51,310 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import tactic.doc_commands
import tactic.reserved_notation
/-!
# Basic logic properties
This file is one of the earliest imports in mathlib.
## Im... |
1b11e3444dd63b5974f4bf87e2a9bfe5f6e955f2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/mv_polynomial/variables.lean | abfbd4ebb588459d529a1f0abdc7dc2915cb806b | [
"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 | 29,333 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import algebra.big_operators.order
import data.mv_polynomial.monad
/-!
# Degrees and variables of polynomials
This file establishes ... |
c9c069296095a8a59618534af9b7a31631bf10af | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/gcd_monoid/integrally_closed.lean | 47ff732f9952355ffb554305dcf88a7149567bff | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 1,695 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebra.gcd_monoid.basic
import ring_theory.integrally_closed
import ring_theory.polynomial.eisenstein.basic
/-!
# GCD domains are integrally closed
-/
open_loca... |
d54a3042e4b30ec0a7e1ae857520135cb6ee3472 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/uniform_space/absolute_value.lean | e4640629275f9b8d26df5fef1661fffa9842b786 | [
"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 | 1,842 | lean | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import algebra.order.absolute_value
import topology.uniform_space.basic
/-!
# Uniform structure induced by an absolute value
> THIS FILE IS SYNCHRONIZED WITH MATHLI... |
7cc02178cdb6940bc1a804a2f42b0aac3a12b358 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/zmod/algebra.lean | 19c6123e6d4dec241e8666538594d7eec6ef4562 | [
"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 | 974 | 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.zmod.basic
import algebra.algebra.basic
/-!
# The `zmod n`-algebra structure on rings whose characteristic divides `n`
-/
namespace zmod
variables (R ... |
05645c69430b294e6541426153ea65cef4364a96 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/adjunction/comma.lean | 803d021f22548638fcf3071536e6f8707dd4872b | [
"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 | 5,881 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.adjunction.basic
import category_theory.punit
import category_theory.structured_arrow
/-!
# Properties of comma categories relating to adjunctions... |
ad5e4e7e486f38d043c93f29caca9b3fbcd5b925 | 0b3933727d99a2f351f5dbe6e24716bb786a6649 | /src/sesh/mult.lean | 186f05e9994fab344d76bba900516ea47f05f847 | [] | no_license | Vtec234/lean-sesh | 1e770858215279f65aba92b4782b483ab4f09353 | d11d7bb0599406e27d3a4d26242aec13d639ecf7 | refs/heads/master | 1,587,497,515,696 | 1,558,362,223,000 | 1,558,362,223,000 | 169,809,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,245 | lean | /- Introduces a commutative semiring of zero-one-many. -/
import metastuff
@[derive decidable_eq]
inductive mult: Type
/- Zero represents assumptions which cannot be computed with,
but could be used for typing, were I to implement dependent
types in the embedded language. Since I didn't, zero is basically
u... |
b5ddb89a63961a5b7a8538c7086156ec31c3861d | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/exercises_sources/wednesday/topological_spaces.lean | 5af6a63e7634df396fdabe276d4d4bd960b91499 | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,052 | lean | import tactic
import data.set.finite
import data.real.basic -- for metrics
/-
# (Re)-Building topological spaces in Lean
Mathlib has a large library of results on topological spaces, including various
constructions, separation axioms, Tychonoff's theorem, sheaves, Stone-Čech
compactification, Heine-Cantor, to name bu... |
9b1f55ad76288ff810ff9d473ed2ca2c53a64a96 | 874a8d2247ab9a4516052498f80da2e32d0e3a48 | /triIneq_v2.lean | 2592f0762129b4648aa22e14a81c47f838c84015 | [] | no_license | AlexKontorovich/Spring2020Math492 | 378b36c643ee029f5ab91c1677889baa591f5e85 | 659108c5d864ff5c75b9b3b13b847aa5cff4348a | refs/heads/master | 1,610,780,595,457 | 1,588,174,859,000 | 1,588,174,859,000 | 243,017,788 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 421 | lean | import tactic
import data.real.basic
universe u
--local attribute [instance] classical.prop_decidable
noncomputable def absVal (a : ℝ) : ℝ := if a < 0 then -a else a
theorem triIneqInt (a : ℝ) (b : ℝ)
: (absVal(b - a) ≤ absVal(a) + absVal(b)) :=
begin
repeat {rw absVal},
split_ifs,
repeat {linarith},
en... |
8ef5dc472da2a899245b447e54ed2684622fe438 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Std/Data/Stack.lean | 7a8c0d7c227c3ccf4782ba3c74b4b6d3546d7f60 | [
"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 | 886 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
Simple stack API implemented using an array.
-/
namespace Std
universes u v w
structure Stack (α : Type u) :=
(vals : Array α := #[])
namespace Stack
variable ... |
f5984fdcc5e07d532fc128aac6d898037a57224f | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /products/switch.lean | ed2741276988946c9bcc8cf64e88a9720c046647 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 750 | 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 .products
open tqft.categories
open tqft.categories.functor
open tqft.categories.natural_transformation
namespace tqft.categories.products... |
3eb3cf124fab8e4e41f6236d8e20fbf6f6d0fd4f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/nat/choose/default_auto.lean | 60458a1d13025fb3e8565c1e7426725342c77ff5 | [] | 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 | 185 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.nat.choose.dvd
import Mathlib.data.nat.choose.sum
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
232a5ef2d6844a411c9fdc472abfeae86bd43d48 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/group_theory/group_action/group.lean | a49f86283dbe1aa4bc034d8ce97f0537e6f0f40f | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,227 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.equiv.mul_add_aut
import group_theory.group_action.units
/-!
# Group actions applied to various types of group
This file contains lemmas about `smul` on `gr... |
a400510ccf1857df26187f6d32863d74e0c6eadd | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/special_functions/pow.lean | 565353336a79c4a64ed3a403a103b512db12f85c | [
"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 | 60,871 | 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, Sébastien Gouëzel,
Rémy Degenne
-/
import analysis.special_functions.complex.log
/-!
# Power function on `ℂ`, `ℝ`, `ℝ≥0`,... |
39c9234bca86306dce7c8f4ecd6cdf2cbfab03c3 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/order/lattice.lean | bbef4ceacb155a6a98df5f3e5994926cc762dd13 | [
"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 | 26,835 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.rel_classes
/-!
# (Semi-)lattices
Semilattices are partially ordered sets with join (greatest lower bound, or `sup`) or
meet (least upper bound, or `in... |
bb128cf7dd38e2d53ae7cf21cdd5dfd4ea5d6adc | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/intro0.lean | ad78ca6700aaaebb016fde86f1f22b4af6d84b06 | [
"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 | 73 | lean | example (a b : nat) : a = b → a = b :=
begin
intro,
assumption
end
|
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