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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
817170359283aab170c7f4f8f89d8250acf6cd5d | 80162757f50b09d3cad5564907e4c9b00742e045 | /rb_mut.lean | c8fa1a0b6bebba19f5d3ec2049b1a2484d9f5704 | [] | no_license | EdAyers/edlib | cc30d0a54fed347a85b6df6045f68e6b48bc71a3 | 78b8c5d91f023f939c102837d748868e2f3ed27d | refs/heads/master | 1,586,459,758,216 | 1,571,322,179,000 | 1,571,322,179,000 | 160,538,917 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 410 | lean | /- Defining with mutual inductive datatypes is also a pain -/
universes u v
inductive bnode (K : Type u) (A : Type v) : ℕ → Type max u v
|Leaf {} : bnode 0
|Bk {n} (l : node n) (v : K×A) (r : node n): bnode (nat.succ n)
with node : ℕ → Type max u v
|Bk {n} : bnode n → node n
|Rd {n} : rnode n → node n
with rnode : ... |
22930ad32e5b788a1a67f6018bf302896380a5ef | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/erase_dup.lean | ea49e8a5ec3e36e3bd96233d3a7eaf99b58d48fc | [
"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 | 2,287 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.nodup
universes u
variables {α : Type u}
namespace list
/- erase duplicates function -/
variable [decidable_eq α]
@[simp] theorem erase_dup_nil ... |
7f664b37f20528f6637f38d23aed4f50c4064cbb | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/ring_theory/polynomial.lean | 1cd9f9625a1616b2fb3ed468315e24d4334aab34 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 14,081 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Ring-theoretic supplement of data.polynomial.
Main result: Hilbert basis theorem, that if a ring is noetherian then so is its polynomial ring.
-/
import data.polynomial data.mv... |
0396a656ec260093bbf5bf796460e13f304481f1 | a959f48a0621edea632487cf2130bbf70d301e05 | /src/calculus.lean | cbecbd042182897c9d6a7791e7f641c1b81fe459 | [] | no_license | cipher1024/lean-differential-topology | cf441b36af9fdb022f10afff6a2fdc5aa4afa379 | 1938b0a5d9e89faff89dac4bc51598698cae6dbb | refs/heads/master | 1,619,477,568,536 | 1,527,790,354,000 | 1,527,790,354,000 | 124,159,851 | 0 | 0 | null | 1,520,385,485,000 | 1,520,385,485,000 | null | UTF-8 | Lean | false | false | 6,068 | lean | import analysis.real
import analysis.limits
import norms
import continuous_linear_maps
noncomputable theory
local attribute [instance] classical.prop_decidable
open filter is_bounded_linear_map
local notation f `→_{`:50 a `}`:0 b := filter.tendsto f (nhds a) (nhds b)
local notation `lim_{`:50 a`}`:0 f := lim (map f... |
fd1943d7dd7804bc46d124f4214016ad51089293 | 5a8eb1c11f93715e070b588e85f2961065c3714d | /books/theorem-proving-in-lean/ch02-exercises.lean | 25b7c60f365ac3dd695745b8d4ef95dfa4ad8062 | [
"MIT"
] | permissive | luksamuk/study | 0e19bf99d33e0793127c3d3f8ad3936fbeb36505 | 6a9417e071a8624c4cd9db696c16a3abcc430219 | refs/heads/master | 1,677,960,533,266 | 1,676,234,529,000 | 1,676,234,529,000 | 151,009,060 | 4 | 1 | MIT | 1,676,234,531,000 | 1,538,343,224,000 | C++ | UTF-8 | Lean | false | false | 2,226 | lean | -- 1. Define Do_Twice
def double (x : ℕ) : ℕ := x + x
def do_twice (f : ℕ → ℕ) (x : ℕ) : ℕ := f (f x)
def Do_Twice : ((ℕ → ℕ) → (ℕ → ℕ)) → (ℕ → ℕ) → (ℕ → ℕ)
:= λ f g x, (f g) x
#check Do_Twice do_twice double
#reduce Do_Twice do_twice double 2
-- 2. Define curry and uncurry
def curry {α β γ : Type} (f : α × β → γ... |
b3df55975534671af6f6bca0786f5500d7eff389 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/634c.lean | 94ae3fb162fd3e0c93441396207d258dcc1753f1 | [
"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 | 959 | lean | open nat
section
parameter (X : Type)
definition A {n : ℕ} : Type := X
definition B : Type := X
variable {n : ℕ}
#check @A n
#check _root_.A nat
#check _root_.A (X × B)
#check @_root_.A (X × B) 10
#check @_root_.A (_root_.B (@_root_.A X n)) n
#check @_root_.A (@_root_.B (@_root_.A nat n)) n
set_o... |
fcf73b17c2137beb7f5a5113e3c9ba1820f0d956 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/998Export.lean | dd02b624667674b125ccddf9ee0a7a6eff10ac8d | [
"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 | 2,302 | lean | import Lean
open Lean
inductive Entry
| name (n : Name)
| level (n : Level)
| expr (n : Expr)
| defn (n : Name)
deriving Inhabited
structure Alloc (α) [BEq α] [Hashable α] where
map : HashMap α Nat
next : Nat
deriving Inhabited
namespace Export
structure State where
names : Alloc Name := ⟨HashMap.empty.insert... |
658a64720121989e22ff6377160955366a372fcf | b392eb79fb36952401156496daa60628ccb07438 | /MathPort/ActionItem.lean | 6e78844c36756c348b40b50cccb376d26a353206 | [
"Apache-2.0"
] | permissive | AurelienSaue/mathportsource | d9eabe74e3ab7774baa6a10a6dc8d4855ff92266 | 1a164e4fff7204c522c1f4ecc5024fd909be3b0b | refs/heads/master | 1,685,214,377,305 | 1,623,621,223,000 | 1,623,621,223,000 | 364,191,042 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,936 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import MathPort.Util
import MathPort.Path
import Lean
import Std.Data.HashSet
import Std.Data.HashMap
namespace MathPort
open Lean
inductive MixfixKind
| «pr... |
3c65349ffdbb7efa9fe158210912b7fcaa6ffcb0 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/category_theory/limits/shapes/zero.lean | 408c3f7e5f76ecbc2fe6d9f4dc3b64577bbd9500 | [
"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 | 18,257 | 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.limits.shapes.products
import category_theory.limits.shapes.images
import category_theory.isomorphism_classes
/-!
# Zero morphisms and zero ob... |
10db201429770931b608e0911bc53b35125c6bc8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/category/Meas.lean | 9833788b0317efe88643642a5c5dc3408348a32f | [
"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 | 4,363 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.category.Top.basic
import measure_theory.measure.giry_monad
import category_theory.monad.algebra
/-!
# The category of measurable spaces
Measurable ... |
ec63bda90c0c319425e0b48df7ffac8751e8d96e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/data/polynomial/unit_trinomial.lean | 08a659408f6c1ea0db7a5848ebfb6576f6b1ed50 | [
"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 | 16,191 | lean | /-
Copyright (c) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import analysis.complex.polynomial
import data.polynomial.mirror
/-!
# Unit Trinomials
This file defines irreducible trinomials and proves an irreducibility crit... |
a875b7003a2887d12e31253bc527448a425c76e8 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/nat/basic.lean | bb19d1ada78afc98c536f9ef474cf5abe700e58c | [
"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 | 67,371 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.order.ring
/-!
# Basic operations on the natural numbers
This fi... |
45a8ccb75346773922e5674644a885c839bb27d1 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/types/nat/hott.hlean | 9b4cbddb6ca6e81a645d7d0f5d6be4a52c6ed031 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,750 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about the natural numbers specific to HoTT
-/
import .order types.pointed
open is_trunc unit empty eq equiv algebra pointed
namespace nat
definition is... |
a586985b172056591eb19461aa02a572e1fd3874 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/group_power/order.lean | 1f29a35d2683f6b14898c3e91a7705af5f84a507 | [
"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 | 12,612 | 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 algebra.order.ring
import algebra.group_power.basic
/-!
# Lemmas about the interaction of power operations with order
Note that some lemmas ar... |
a9cb14ba7d3886c5f2769687221053f3477e25cc | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/adjoin_root.lean | 7b7093055331774d4e2feeba6d9c616dcc3b9906 | [
"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 | 12,120 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
-/
import data.polynomial.field_division
import linear_algebra.finite_dimensional
import ring_theory.adjoin.basic
import ring_theory.power_basis
import rin... |
d7063dcbf947a754c851519fda27b09a902687ae | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/nat/basic.lean | fc1b65a7e7a96c56cef9bb036ce2ad4eaf0058a3 | [
"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 | 60,325 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.group_power.basic
import algebra.order_functions
/-!
# Basic oper... |
3864ca8b2730a4fb6163cba951db751bc37c9e23 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/category_theory/path_category.lean | 63cb129b81c3a5cfe3dbf5869c8ceb5d108d29fb | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,793 | 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 category_theory.category
/-!
# The category paths on a quiver.
-/
universes v₁ v₂ u₁ u₂
namespace category_theory
section
/--
A type synonym for the categ... |
666f80d1e74438f6bc4ad93a975ed2c9fb330d8c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/lift2.lean | 3b89e45984df133fde12f6442b262c29997f635f | [
"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 | 290 | lean | namespace test
inductive {u₁ u₂} lift (A : Type u₁) : Type (max 1 u₁ u₂)
| inj : A → lift
set_option pp.universes true
variables (A : Type 3) (B : Type 1)
#check A = lift.{1 3} B
universe variables u
variables (C : Type (u+2)) (D : Type u)
#check C = lift.{u u+2} D
end test
|
c2bb762c73151f53a235968e50aee172a88b132b | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /order/zorn.lean | 3c0911854099fc817828935f0752417426b8f64c | [
"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 | 10,106 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Zorn's lemmas.
Ported from Isabelle/HOL (written by Jacques D. Fleuriot, Tobias Nipkow, and Christian Sternagel).
-/
import data.set.lattice
noncomputable theory
univ... |
bd192f16a190e593d4f4ec4f11f26dd602734507 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/polynomial/erase_lead.lean | 791e299f97e8860b68b73b8d5236798e3fa9d6c9 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,824 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.degree.basic
import data.polynomial.degree.trailing_degree
/-!
# Erase the leading term of a univariate polynomial
## Definition
* `erase_lead... |
e2512eda7a029f1b7596997240ecc6de38aa41a1 | 2385ce0e3b60d8dbea33dd439902a2070cca7a24 | /tests/lean/unification_hints2.lean | a9c8687d6407ced9efac77ee5d8f584874a07676 | [
"Apache-2.0"
] | permissive | TehMillhouse/lean | 68d6fdd2fb11a6c65bc28dec308d70f04dad38b4 | 6bbf2fbd8912617e5a973575bab8c383c9c268a1 | refs/heads/master | 1,620,830,893,339 | 1,515,592,479,000 | 1,515,592,997,000 | 116,964,828 | 0 | 0 | null | 1,515,592,734,000 | 1,515,592,734,000 | null | UTF-8 | Lean | false | false | 1,110 | lean | open nat
constant F : nat → Type
constant F.suc (n : nat) (f : F n) : F (succ n)
constant F.raise (n m : nat) (f : F m) : F (m + n)
example (m n : nat) (i : F m) : F.raise (succ n) m i = F.suc _ (F.raise n _ i) :=
begin
trace_state, -- the result should not contain recursor applications because the stdlib contains ... |
9baee9b8b916fb3b60c4f955fba7860fc7cc6b2b | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/native/util.lean | 3a539cbba60a1c4a3ef5c539557c5dd815b55673 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,962 | lean | /-
Copyright (c) 2016 Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jared Roesch
-/
prelude
import init.meta.format
import init.meta.expr
import init.data.string
import init.category.state
import init.native.result
import init.native.internal
import ini... |
e08a812cc751cb2f6ae87016f6f4af35ca3d8f18 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/discovery/collector/everything.lean | 51c5f735e4308c23282a124e6e8785bf73c8c638 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,653 | lean | import tidy.rewrite_search.core.shared
import ..types
import .common
open tactic
open tidy.rewrite_search
namespace tidy.rewrite_search.discovery
-- TODO print the lemmas which were being added
-- TODO use the metric to score the rewrites and pick the top few which are high-scoring
-- TODO only try some of of the "... |
20be05c0df62b5e49ee20db01dbea43e912f0f10 | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/path_category.lean | caa023dc0e104b899f1b7bb0888ad986e39297b5 | [] | no_license | RitaAhmadi/lean-category-theory | 4afb881c4b387ee2c8ce706c454fbf9db8897a29 | a27b4ae5eac978e9188d2e867c3d11d9a5b87a9e | refs/heads/master | 1,651,786,183,402 | 1,565,604,314,000 | 1,565,604,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,183 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan and Scott Morrison
import category_theory.graphs.category
-- FIXME why do we need this here?
@[obviously] meta def obviously_4 := tactic.tidy { tactics := extend... |
542cabf1bac11bc8e719c8942ac4530774bbcc7c | b2e508d02500f1512e1618150413e6be69d9db10 | /src/linear_algebra/basic.lean | 5c98cae2fb0526f1af3a2a75f75368549638d233 | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 61,602 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard
Basics of linear algebra. This sets up the "categorical/lattice structure" of
modules, submodules, and linear maps.
-/
import algebra.pi... |
30ba8009848ffd4b1d7e1c08349930107db8eaa9 | c777c32c8e484e195053731103c5e52af26a25d1 | /counterexamples/quadratic_form.lean | 20af196c19f5276bc536e2c1c39e212ca3fa197c | [
"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 | 1,861 | lean | /-
Copyright (c) 2023 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.quadratic_form.basic
import algebra.char_p.two
import data.zmod.basic
/-!
# `quadratic_form R M` and `subtype bilin_form.is_symm` are distinct notion... |
ecba4f8b3958d0b8a062c220a8998ee4c8525ed4 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/finset/default.lean | eb67d9d13773ae09ba3a26e510f29055edb78c92 | [
"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 | 243 | lean | import data.finset.basic
import data.finset.fold
import data.finset.intervals
import data.finset.lattice
import data.finset.nat_antidiagonal
import data.finset.pi
import data.finset.powerset
import data.finset.sort
import data.finset.preimage
|
c8e42ab565f1666492e431c57216e9cdadb84577 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/ideal/local_ring.lean | c1dccf7c0f3c7a8e81459596f5c32995a50c52ea | [
"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 | 13,325 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.algebra.basic
import algebra.category.Ring.basic
import ring_theory.ideal.operations
/-!
# Local rings
Define local rings as co... |
0e116e7d052b2f38aed64dbb9cfc85edfdb20dae | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/representation_theory/character.lean | cee94f807d193f9376b5e70d5e2d59b42c02aeb2 | [
"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 | 2,859 | lean | /-
Copyright (c) 2022 Antoine Labelle. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Labelle
-/
import representation_theory.fdRep
import linear_algebra.trace
import representation_theory.basic
import representation_theory.invariants
/-!
# Characters of repre... |
fba2129fdbfae2286c868e9d0d551a47c28b880d | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/list/perm.lean | 2145735c14b963b950ed1a117cb1923898d0f3cc | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 41,050 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
List permutations.
-/
import data.list.basic logic.relation
namespace list
universe variables uu vv
variables {α : Type uu} {β... |
9449f491c1f06ac318a283fc144806580b152349 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/jacobson.lean | 7e6c9a934bce213f12b12f72af46b93fe2eadbc0 | [
"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 | 34,432 | lean | /-
Copyright (c) 2020 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import ring_theory.localization
import ring_theory.ideal.over
import ring_theory.jacobson_ideal
/-!
# Jacobson Rings
The following conditions are equivalent for a ring `R`:
... |
2328599cffe276f2ce8cc107dec1348d89a62399 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/yoneda.lean | 460e403bd8b3598360c954618d26a07c39b29d44 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 7,473 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
/- The Yoneda embedding, as a functor `yoneda : C ⥤ (Cᵒᵖ ⥤ Type v₁)`,
along with an instance that it is `fully_faithful`.
Also the Yoneda lemma, `yoneda_le... |
1459ac9f30db6ed50845da2d5c0b651f64ce5431 | 33340b3a23ca62ef3c8a7f6a2d4e14c07c6d3354 | /lia/normalize.lean | 45f166b086427d9a37940e39bc1b6b44dcc899cf | [] | no_license | lclem/cooper | 79554e72ced343c64fed24b2d892d24bf9447dfe | 812afc6b158821f2e7dac9c91d3b6123c7a19faf | refs/heads/master | 1,607,554,257,488 | 1,578,694,133,000 | 1,578,694,133,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,585 | lean | import ..logic ..list .preformula .formula -- .has_ptm .has_atom
open list
def preterm_lia.const : preterm_lia → int
| (preterm_lia.var k) := 0
| (preterm_lia.cst c) := c
| (preterm_lia.lmul c k) := 0
| (preterm_lia.rmul k c) := 0
| (preterm_lia.neg t) := -t.const
| (preterm_lia.add t1 t2) := t1.const +... |
8a3fecce89a1acd007c2c354d69802014d0f1e69 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /category_theory/functor.lean | 4b32fbca3dc3b360f62956dce79a334c238b0b65 | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,498 | 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... |
bb7234de47bd5e92ba6bae7894ce14fda48baff6 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/computability/tm_computable.lean | a499db7266238b11cdca284ccc78f97ce089fe75 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,344 | lean | /-
Copyright (c) 2020 Pim Spelier, Daan van Gent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pim Spelier, Daan van Gent.
-/
import computability.encoding
import computability.turing_machine
import data.polynomial.basic
import data.polynomial.eval
/-!
# Computable... |
a379db67af6cac2efa280c5d1fa66ce429509d81 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/basic.lean | b69d6ba461d4e1783c3f1e727c1ddfb5261e1b5d | [
"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 | 86,486 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov, Frédéric Dupuis,
Heather Macbeth
-/
import algebra.big_operators.pi
import algebra.module.hom
import algebra.module.pr... |
7dd6cf8582e94e3932a3ed3e5ed9b66c22f3d51f | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/funext.lean | 3cf7cff8f5ddf16d9a569d54a84dce9003d61448 | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 778 | lean | universes u v
axiom funext2 : ∀ {α : Sort u} {β : α → Sort v} {f g : ∀ (x:α), β x},
(∀ (x:α), f x = g x) → f = g
--#check @funext2
--#check @funext
lemma L1 : Prop = Sort 0 := rfl
lemma L2 : Type u = Sort (u + 1) := rfl
def f₁ (x : ℕ) := x
def f₂ (x : ℕ) := 0 + x
lemma feq : f₁ = f₂ :=
begin
apply funext, in... |
94ad49b2abb2135c0735a6fb5a170563a4cdbd99 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/basic.lean | 8b6a734cb0eb9822f15ef44ea0590e66664757bb | [] | 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 | 7,835 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.ring_exp
import Mathlib.tactic.chain
imp... |
b1fbee1626ebb665e97ab7de40e96fe38337a568 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/adjunction/fully_faithful.lean | 863d933a046eeee35a00d3aabe0a5fabfb49a917 | [
"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 | 7,555 | 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.adjunction.basic
import category_theory.conj
import category_theory.yoneda
/-!
# Adjoints of fully faithful functors
> THIS FILE IS SYNCHRONI... |
30a2c2cb6832e97e16e6572fffaac1a9a6b2a1eb | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/vector.lean | 2231063a806603fd1463f94d96c02c2895865973 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,340 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.vector
Author: Floris van Doorn, Leonardo de Moura
-/
import data.nat data.list data.fin
open nat prod fin
inductive vector (A : Type) : nat → Type :=
| nil {} : vector A zero
... |
d528de04957d8a8e4b425f2597678cee8a01dd45 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/limits.lean | 7f4cad60009afceb2fbdf96923aa0067791e037e | [
"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 | 51,328 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Scott Morrison, Floris van Doorn
-/
import category_theory.adjunction.basic
import category_theory.reflect_isomorphisms
open category_theory category_theo... |
7ea18a6aa36f3fb0f53689410984d50235a917cd | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/metric_space/partition_of_unity.lean | 9b79f18b41305dd6e1e563d29f473b639e294718 | [
"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 | 8,191 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.metric_space.emetric_paracompact
import analysis.convex.partition_of_unity
/-!
# Lemmas about (e)metric spaces that need partition of unity
The ma... |
fc884f827ff73d2da5f20f511ac856fe91ee88bd | 59a4b050600ed7b3d5826a8478db0a9bdc190252 | /src/category_theory/limits/terminal.lean | dca93dbf7bca2fd8afcda0f5fa4026c27b903bc9 | [] | no_license | rwbarton/lean-category-theory | f720268d800b62a25d69842ca7b5d27822f00652 | 00df814d463406b7a13a56f5dcda67758ba1b419 | refs/heads/master | 1,585,366,296,767 | 1,536,151,349,000 | 1,536,151,349,000 | 147,652,096 | 0 | 0 | null | 1,536,226,960,000 | 1,536,226,960,000 | null | UTF-8 | Lean | false | false | 2,956 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison, Reid Barton, Mario Carneiro
import category_theory.limits.shape
import category_theory.filtered
open category_theory
namespace category_theory.limits
universe... |
0f42648125ab7e39c7a0a766dc94d0d77700bb1d | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/new_frontend2.lean | b6ddbd1786e59d58026564f6a5ca70c989c90942 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 403 | lean | new_frontend
declare_syntax_cat foo
variable {m : Type → Type}
variable [s : Functor m]
#check @Nat.rec
#check s.map
/-
The following doesn't work because
```
variable [r : Monad m]
#check r.map
```
because `Monad.to* methods have bad binder annotations
-/
theorem aux (a b c : Nat) (h₁ : a = b) (h₂ : c = b) : a =... |
94b3f8b55eec976f84d6cd2ff278c8290b95e8f9 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/elab12.lean | 0028a87e0ab596a27d11ba6ad07ba061e7363ded | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 388 | lean | check (take a : nat, have H : 0, from rfl a,
(H a a) : ∀ a : nat, a = a)
check (take a : nat, have H : a = a, from rfl a,
(H a a) : ∀ a : nat, a = a)
check (take a : nat, have H : a = a, from a + 0,
(H a a) : ∀ a : nat, a = a)
check (take a : nat, have H : a = a, from rfl,
(H a) : ∀ a : nat, a = a)
check (take ... |
681446f8c21ce62e80e02ca0110b3775e0a985be | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Attributes.lean | 26d36b60df591bc0d6c6a40c4b5b3fdccd8cd74d | [
"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 | 18,836 | 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.Syntax
import Lean.CoreM
import Lean.ResolveName
namespace Lean
inductive AttributeApplicationTime where
| afterTypeChecking | afterCompilat... |
41acfd2bf6ababcc10256b6be3d2ec93dde0726c | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/higherOrderFunctions/compose.lean | f8c8cebdb0bdc350b35d5f57f2903fc8fd88a1e0 | [] | 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 | 504 | lean | /-
Higher-order, universe-agnostic
function composition function. In
Lean this function is defined as
function.comp. It can be applied
using the infix notation, ∘, as
in the expression (g ∘ f), which
would be a function that first
applies f to its argument, then
applies g to the result, finally
returning that resulti... |
fe9de99d108424716bd7dbafa6418194e9378de1 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/topology/quotients.lean | d5d144128d72363940986c43121f15a0a8cf84d5 | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 1,149 | lean | import .topological_space
import .continuity
namespace hidden
namespace topological_space
variables {α β γ: Type}
open classical
local attribute [instance] classical.prop_decidable
def quotient_topology
(X: topological_space α) (R: setoid α):
topological_space (quotient R) := {
is_open := {V | X.is_open (myset.... |
e60d4f6142ea980d6e7c6e7d5a107a12fbda7399 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/alternative.lean | 5624e61cb3e5b2b879cb5b8dc6711a657e49a28f | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 839 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.logic init.applicative
universe variables u v
structure [class] alternative (F : Type u → Type v) extends applicative F : Type (max u+1 ... |
669c54bce5a5e4b3b2a054cae3957955a8b95681 | dc253be9829b840f15d96d986e0c13520b085033 | /univalent_subcategory.hlean | e3425ca0258f1bfb9b08bc87c0dd26226e12845b | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 14,833 | hlean | import homotopy.sphere2 algebra.category.functor.attributes
open eq pointed sigma is_equiv equiv fiber algebra group is_trunc function prod prod.ops iso functor
namespace category
section univ_subcat
parameters {C : Precategory} {D : Category} (F : functor C D) (p : is_embedding F) (q : fully_faithful F)
variab... |
1ccab1283420fb1ff3599dd93674d3a781bd6bcd | 510e96af568b060ed5858226ad954c258549f143 | /algebra/ring.lean | 2f31dd5f07ee98c8fe6f9d16567f60c380e4baab | [] | no_license | Shamrock-Frost/library_dev | cb6d1739237d81e17720118f72ba0a6db8a5906b | 0245c71e4931d3aceeacf0aea776454f6ee03c9c | refs/heads/master | 1,609,481,034,595 | 1,500,165,215,000 | 1,500,165,347,000 | 97,350,162 | 0 | 0 | null | 1,500,164,969,000 | 1,500,164,969,000 | null | UTF-8 | Lean | false | false | 5,930 | 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, Floris van Doorn
-/
open eq
universe variable uu
variable {A : Type uu}
/- ring -/
section
variables [ring A] (a b c d e : A)
theorem mul_add_e... |
95a4be3a310b26743d5b2f176b7fafc21b465690 | f20db13587f4dd28a4b1fbd31953afd491691fa0 | /tests/lean/run/my_tac_class.lean | c7990587abb20e1acf370cd16c15e81a91124cb7 | [
"Apache-2.0"
] | permissive | AHartNtkn/lean | 9a971edfc6857c63edcbf96bea6841b9a84cf916 | 0d83a74b26541421fc1aa33044c35b03759710ed | refs/heads/master | 1,620,592,591,236 | 1,516,749,881,000 | 1,516,749,881,000 | 118,697,288 | 1 | 0 | null | 1,516,759,470,000 | 1,516,759,470,000 | null | UTF-8 | Lean | false | false | 1,774 | lean | meta def mytac :=
state_t nat tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t nat) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def step {α : Type} (t : my... |
6474a1f4c00d8c277aeca8881c9015538a1fdec2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/polynomial/field_division.lean | ea42eea04f17cb9b4d9185622cbb25bc66265e60 | [
"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 | 19,512 | 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.derivative
import data.polynomial.ring_division
import ring_theory.euclidean_domain
/-!
# Theory o... |
c0350e4dbdc6887d8c3324cfd277ab00c6faf483 | 61c3861020ef87c6c325fc3c3dcbabf5d6b07985 | /types/W.lean | 602af52957fc2d41545502cb1bd1741dadb9e575 | [
"Apache-2.0"
] | permissive | jonas-frey/hott3 | a623be2959e8a713c03fa1b0f34bf76a561dfa87 | a944051b4eb5919bdc70978ee15fcbb48a824811 | refs/heads/master | 1,628,408,720,559 | 1,510,267,042,000 | 1,510,267,042,000 | 106,760,764 | 0 | 0 | null | 1,507,856,238,000 | 1,507,856,238,000 | null | UTF-8 | Lean | false | false | 6,018 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about W-types (well-founded trees)
-/
import .sigma .pi
universes u v w
hott_theory
namespace hott
open decidable
open eq equiv is_equiv sigma
inductiv... |
2089346d2e9372b568076971cc62d0f18856dee8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/coprime_auto.lean | 876e43c8d5b76bba0fc1501fd5b1edced72e402d | [] | 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 | 13,978 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Ken Lee, Chris Hughes
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.ring
import Mathlib.algebra.big_operators.basic
import Mathlib.data.fin... |
0a38872209f048bc8f2cef6466f8cf497baaf961 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch2/ex0203.lean | 2028511ac96c37b21b129529151eb68bc3ae501a | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 63 | lean | constants α β : Type
#check prod α β
#check prod nat nat
|
271e5cd60ec2c7fe512f9f62aba32bd96920e785 | 07f5f86b00fed90a419ccda4298d8b795a68f657 | /library/data/rbtree/basic.lean | ea851e953f6e6f2568d3906a30417eaa5e0bdea2 | [
"Apache-2.0"
] | permissive | VBaratham/lean | 8ec5c3167b4835cfbcd7f25e2173d61ad9416b3a | 450ca5834c1c35318e4b47d553bb9820c1b3eee7 | refs/heads/master | 1,629,649,471,814 | 1,512,060,373,000 | 1,512,060,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,500 | 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
-/
universe u
/- TODO(Leo): remove after we cleanup stdlib simp lemmas -/
local attribute [-simp] or.comm or.left_comm or.assoc and.comm and.left_comm and.ass... |
b91be4288800599731df7ed55b4f3726941b8648 | 8e381650eb2c1c5361be64ff97e47d956bf2ab9f | /src/to_mathlib/localization/localization_of.lean | 30e88520236eb3cd4e1f570649f30b0cf42a365c | [] | no_license | alreadydone/lean-scheme | 04c51ab08eca7ccf6c21344d45d202780fa667af | 52d7624f57415eea27ed4dfa916cd94189221a1c | refs/heads/master | 1,599,418,221,423 | 1,562,248,559,000 | 1,562,248,559,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 968 | lean | /-
is_localization from is_localization_data.
-/
import ring_theory.localization
import to_mathlib.localization.localization_alt
universe u
open localization_alt
variables {α : Type u} [comm_ring α]
variables (S : set α) [is_submonoid S]
noncomputable lemma localization.of.is_localization_data
: @is_localizat... |
1c159a1596e467acae7f8211e59cfd94337e1190 | 572fb32b6f5b7c2bf26921ffa2abea054cce881a | /src/week_1/kb_solutions/Part_D_relations_solutions.lean | 8583eb9f38b78a79458ccfda933333e52d43d9a8 | [
"Apache-2.0"
] | permissive | kgeorgiy/lean-formalising-mathematics | 2deb30756d5a54bee1cfa64873e86f641c59c7dc | 73429a8ded68f641c896b6ba9342450d4d3ae50f | refs/heads/master | 1,683,029,640,682 | 1,621,403,041,000 | 1,621,403,041,000 | 367,790,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,382 | lean | import tactic
/-!
# Equivalence relations are the same as partitions
In this file we prove that there's a bijection between
the equivalence relations on a type, and the partitions of a type.
Three sections:
1) partitions
2) equivalence classes
3) the proof
## Overview
Say `α` is a type, and `R : α → α → Prop` i... |
6b9552ecc1d4490279e2fbc167f3856cc7c601ce | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/universal/kernels.lean | 4de5b90ed32427b8912a9092484ea1ddca03b538 | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 2,388 | lean | import category_theory.universal.zero
import category_theory.limits.equalizers
import category_theory.over
open category_theory
universes u v
namespace category_theory.limits
variables {C : Type u} [𝒞 : category.{u v} C] [has_zero_object.{u v} C]
include 𝒞
variables {X Y Z : C}
structure is_kernel (f : Y ⟶ Z) (ι... |
6d15906045b5acf03bcf417ec63a15505a82d3cc | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/measure_theory/borel_space.lean | 2319a554e85ea17be8c2ef8b215d6673087df4f6 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,494 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.measure_space
import analysis.complex.basic
import analysis.normed_space.finite_dimension
import topology.G_delta
/-!
# Borel ... |
688a6d0226b7d9d09adc95162397dbe786349061 | 4e0d7c3132ce31edc5829849735dd25db406b144 | /lean/love04_functional_programming_exercise_sheet.lean | b8eaaa20368806237e934097eadd4b95f86942e7 | [] | no_license | gonzalgu/logical_verification_2020 | a0013a6c22ea254e9f4d245f2948f0f4d44df4bb | 724d0457dff2c3ff10f9ab2170388f4c5e958b75 | refs/heads/master | 1,660,886,374,533 | 1,589,859,641,000 | 1,589,859,641,000 | 256,069,971 | 0 | 0 | null | 1,586,997,430,000 | 1,586,997,429,000 | null | UTF-8 | Lean | false | false | 8,357 | lean | import .love03_forward_proofs_demo
/-! # LoVe Exercise 4: Functional Programming -/
set_option pp.beta true
namespace LoVe
/-! ## Question 1: Reverse of a List
We define a new accumulator-based version of `reverse`. The first argument,
`as`, serves as the accumulator. This definition is __tail-recursive__, mean... |
29e345befd8ddf0b13731a0e9bbefb75fbb91bab | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /12_Axioms.org.18.lean | 4059b5424dec37d7546d58457aa51625e05a609c | [] | 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 | 763 | lean | import standard
import logic.quantifiers
open subtype nonempty
namespace hide
axiom strong_indefinite_description {A : Type} (P : A → Prop) (H : nonempty A) :
{ x | (∃ y : A, P y) → P x}
-- BEGIN
noncomputable definition epsilon {A : Type} [H : nonempty A] (P : A → Prop) : A :=
let u : {x | (∃ y, P y) → P x} :=
stro... |
bd9b52d43f60357ef122bef05c56b28bc77225bd | 618003631150032a5676f229d13a079ac875ff77 | /src/control/traversable/basic.lean | 451ed1926913fc95add55ae0084d75cd19392658 | [
"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 | 5,768 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import control.functor
/-!
# Traversable type class
Type classes for traversing collections. The concepts and laws are taken from
<http://hackage.haskell.org/package/base-... |
070eebe181845b5d029d02b2fececc38350a7e4b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/pequiv.lean | 972107c78cf59efd4b3b12bc89d32c4f32d2fd11 | [
"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 | 14,132 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set.basic
/-!
# Partial Equivalences
In this file, we define partial equivalences `pequiv`, which are a bijection between a subset of `α`
and a subset of `... |
626389bb8e803a429813a1ba6ab36759d80033ba | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/eq2.lean | 1034969524f80551163fb78752ed0be0e3f79026 | [
"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 | 196 | lean | definition symm {A : Type} : Π {a b : A}, a = b → b = a
| a a (eq.refl a) := rfl
definition trans {A : Type} : Π {a b c : A}, a = b → b = c → a = c
| a a a (eq.refl a) (eq.refl a) := rfl
|
7808702cfccb72b40c8f653b5687232798cab272 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/mv_polynomial/monad.lean | 5226887ca6703f56a033e7548cdae5d0f5ff74f2 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 13,947 | lean | /-
Copyright (c) 2020 Johan Commelin and Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin and Robert Y. Lewis
-/
import data.mv_polynomial.rename
/-!
# Monad operations on `mv_polynomial`
This file defines two monadic operations on `mv... |
119d2c3d237cadb399bfd40f2c959fa012dd6075 | 54f4ad05b219d444b709f56c2f619dd87d14ec29 | /my_project/src/love05_inductive_predicates_exercise_sheet.lean | 8a18569df6cc9248415a046e329a680781486cfc | [] | no_license | yizhou7/learning-lean | 8efcf838c7276e235a81bd291f467fa43ce56e0a | 91fb366c624df6e56e19555b2e482ce767cd8224 | refs/heads/master | 1,675,649,087,737 | 1,609,022,281,000 | 1,609,022,281,000 | 272,072,779 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,237 | lean | import .love05_inductive_predicates_demo
/-! # LoVe Exercise 5: Inductive Predicates -/
set_option pp.beta true
namespace LoVe
/-! ## Question 1: Even and Odd
The `even` predicate is true for even numbers and false for odd numbers. -/
#check even
/-! We define `odd` as the negation of `even`: -/
def odd (n :... |
6fc9889759186718d9c360c6695d66a9783b3158 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Data/Position.lean | 0dd50d0419b5560371fc7646b40e18d9e5329e98 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,712 | 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, Sebastian Ullrich
-/
import Lean.Data.Format
namespace Lean
structure Position :=
(line : Nat)
(column : Nat)
namespace Position
instance : Decidable... |
00174309ca482cc051366734bf6f2d766d03c059 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/compare.lean | 0d2829426520d9c93a3424526a346a750b70016b | [
"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 | 7,526 | 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.synonym
/-!
# Comparison
This file provides basic results about orderings and comparison in linear orders.
## Definitions
* `cmp_le`: An `ordering` ... |
a9e07d3953ffd25bfbce77385f0ae96f6be1a71b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/W/basic.lean | eeb9ae19deaebdd5478fc2a6e1d2bd0cd322811b | [
"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 | 6,805 | 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 data.equiv.list
/-!
# W types
Given `α : Type` and `β : α → Type`, the W type determined by this data, `W_type β`, is the
inductively defined type of trees whe... |
b85488280bb5e771057b0e3fd311b2b26d9b2499 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/monoid_algebra.lean | ca18a515e7795329aa168bbbb9f22ef3b5c7395e | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 27,172 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury G. Kudryashov, Scott Morrison
-/
import data.finsupp
import ring_theory.algebra
/-!
# Monoid algebras
When the domain of a `finsupp` has a multiplicative or addi... |
0360a0112cc0ab3e154693898125175e664f665a | c777c32c8e484e195053731103c5e52af26a25d1 | /src/geometry/manifold/complex.lean | 5e3d546fa2a7142ef89cb01062099ece10653bb5 | [
"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 | 5,997 | lean | /-
Copyright (c) 2022 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.complex.abs_max
import analysis.locally_convex.with_seminorms
import geometry.manifold.mfderiv
import topology.locally_constant.basic
/-! # Holomor... |
ddc3a961c44e42118e2b7e0733348a998ab317e0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/control/monad/cont.lean | d89c404c2ed9c9055327b43f8a400b7a617da43f | [
"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 | 9,372 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Monad encapsulating continuation passing programming style, similar to
Haskell's `Cont`, `ContT` and `MonadCont`:
<http://hackage.haskell.org/package/mtl-2.2.2/docs/Control-M... |
ccd976f42e5f544f262857b1c068c269a0c1c9b9 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/set/finite.lean | ef1a5cb398730332422a64818cc8b5cf4cc979a6 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 18,559 | 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
Finite sets.
-/
import logic.function
import data.nat.basic data.fintype data.set.lattice data.set.function
open set lattice function
universes u v w
... |
1cd86ce438fe4ff71cfb774a0a222b24e08c4c43 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/PrettyPrinter/Formatter.lean | 31ae88dea06e53cb3133725751b7bf94288c8f04 | [
"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 | 21,191 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The formatter turns a `Syntax` tree into a `Format` object, inserting both mandatory whitespace (to separate adjacent
tokens) as well as "pretty" optional ... |
366955d398a9d6de21cdda3f9eb991dad26818ea | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/witt_vector/frobenius.lean | a5b97d84730a9a3d9dd0e153c0b7f79a9e206e18 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 13,411 | 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 data.nat.multiplicity
import data.zmod.algebra
import ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
import field_theory.perfect_closure... |
5d17811cc49d8d163c849648d75a49e445cb3482 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/matrix/basic.lean | 2d02babddb2ca4a666774aedeed5c07bc13556ff | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 13,173 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
Matrices
-/
import algebra.module algebra.pi_instances
import data.fintype
universes u v w
def matrix (m n : Type u) ... |
90fa9a0ac945cc416f241acca035e8685fdb154d | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/term_app2.lean | 299c0230e2961858f8e5d1cd05c3468fab924571 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 2,205 | lean | lemma nat.lt_add_of_lt {a b c : nat} : a < b → a < c + b :=
begin
intro h,
have aux₁ := nat.le_add_right b c,
have aux₂ := lt_of_lt_of_le h aux₁,
rwa [add_comm] at aux₂
end
lemma nat.lt_one_add_of_lt {a b : nat} : a < b → a < 1 + b :=
begin
intro h,
have aux := lt.trans h (nat.lt_succ_self _),
rwa [<- na... |
3acf921445af671f3696af75dfc952eb3497806a | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world3/level4.lean | c61bf8a248a3fc37c1fb1046c4608a802c3d425b | [
"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 | 1,211 | lean | import game.world3.level3 -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 4: `mul_add`
Where are we going? Well we want to prove `mul_comm`
and `mul_assoc`, i.e. that `a * b = b * a` and
`(a * b) * c = a * (b * c)`. But we *also* want to
establish the way multiplication interacts with addition,
i.... |
706ffa68fddad03b7c3137b6d94db8d619bae5ce | 98beff2e97d91a54bdcee52f922c4e1866a6c9b9 | /src/category/binary_products.lean | f4bffd3725572c510c6779cd75f2fa48d855bdf2 | [] | 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 | 11,856 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.binary_products
import category_theory.limits.preserves.shapes.binary_products
import category_theory.limits.shapes.pullbacks
import... |
742290d4b0a6d55bacb9af1567fce1fed4813a49 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/BinaryInverse.lean | 3a7c1e5388bc842a66fa238d3517b97bfd082d47 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,906 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section BinaryInverse
structure BinaryInverse (A : Type) : Type :=
(linv : (A → (A → A)))
(rinv : (A → (A → A)))
(leftInverse : (∀ {x y : A} , (rinv (linv x y) x... |
73bf8d7b62e385c03bb0ca8db773051014363e49 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /src/Lean/PrettyPrinter/Delaborator/Builtins.lean | e36cd2a4f8949318fbeacb07552cf1376597054d | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,455 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.PrettyPrinter.Delaborator.Basic
import Lean.PrettyPrinter.Delaborator.SubExpr
import Lean.PrettyPrinter.Delaborator.TopDownAnalyze
import Lean.Pars... |
4fe4ab035d9250ab7d68f3cdc2e141fcc9ecf18f | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/set/intervals/basic.lean | b3694b48a69513744ac9c259959f27dc2176cd45 | [
"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 | 53,055 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot, Yury Kudryashov, Rémy Degenne
-/
import algebra.ordered_group
import data.set.basic
import order.rel_iso
/-!
# Intervals
In any preord... |
379e620027f33225ac792e7ebecf35e2087995b5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/dot_product.lean | e3c81c8f65d1669d11be1462381ab5ce25741465 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,307 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import algebra.star.order
import data.matrix.basic
import linear_algebra.std_basis
/-!
# Dot product of two vectors
> THI... |
1e2a60a8d13db93e2544ff0fbed65c19618277a4 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /src/Lean/Message.lean | 5190505f0c443fa4de9f2c9771ec7ce7d6ba91bf | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,205 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Message Type used by the Lean frontend
-/
import Lean.Data.Position
import Lean.Data.OpenDecl
import Lean.Syntax
import Lean.MetavarContext
... |
54c21bf8d6855c47da62985a04f04550347d3621 | 6e8de6b43162bef473b4a0bd93b71db886df98ce | /src/pregeom/basic.lean | 49e0ef5aa170115c42d7d8f242bc4c96e27a30ad | [
"Unlicense"
] | permissive | adamtopaz/comb_geom | 38ec6fde8d2543f56227ec50cdfb86cac6ac33c1 | e16b629d6de3fbdea54a528755e7305dfb51e902 | refs/heads/master | 1,668,613,552,530 | 1,593,199,940,000 | 1,593,199,940,000 | 269,824,442 | 6 | 0 | Unlicense | 1,593,119,545,000 | 1,591,404,975,000 | Lean | UTF-8 | Lean | false | false | 5,084 | lean | import data.set
import tactic
import ..tactics
/-!
# Pregeometries
This file defines the typeclass `pregeom` of pregeometries.
These are types endowed with a "closure operator" `cl` acting on subsets, satisfying various axioms.
A pregeometry is a geometry provided that the closure of ∅ is ∅ and that the closure of a ... |
8efabe58ac68b392ef1cb7c457d99475706ca61f | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/ring_theory/algebra_operations.lean | 9b1c11cb3ee07d8a72dcaaa74bf106f325731b4d | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 5,612 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Multiplication of submodules of an algebra.
-/
import ring_theory.algebra algebra.pointwise ring_theory.ideals
import tactic.chain
universes u v
open lattice algebra
local at... |
a5af73d49ac565b46db0ebc29c48695aef74aa9a | 46125763b4dbf50619e8846a1371029346f4c3db | /src/tactic/simp_rw.lean | babbe89f8a3d377c6d3d8c7b8acac4bd45b95ca1 | [
"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 | 1,831 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
The `simp_rw` tactic, a mix of `simp` and `rewrite`.
-/
import tactic.core
/-!
# The `simp_rw` tactic
This module defines a tactic `simp_rw` which functions as a mix of `si... |
b787c4b451a647ba3699da8ffb753e293d8abb06 | 32fa6b3db8c34b5b2996ed46f2eef23e6cd58023 | /string.lean | eccf5f1963fb21035db1cdcd68f261dbe4f1c20c | [] | no_license | skbaek/strassen | 3568459f9aa85beb9d3a653e92225bd9518985a5 | 396c94805360b10896d436813c1e4d0190885840 | refs/heads/master | 1,587,522,553,720 | 1,549,860,051,000 | 1,549,860,051,000 | 170,051,087 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 127 | lean | def spaces : nat → string
| 0 := ""
| (n+1) := " " ++ spaces n
def string.pad (l s) : string :=
s ++ spaces (l - s.length) |
8370017c2f83b7d8b7ceeb0c4d055be020df4c46 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/meta_env1.lean | 8dfd7dc481e77a68fad062a99394372ca47a6831 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,058 | lean | open list
meta definition e := environment.mk_std 0
definition hints := reducibility_hints.regular 10 tt
vm_eval environment.trust_lvl e
vm_eval (environment.add e (declaration.defn `foo []
(expr.sort (level.succ (level.zero)))
... |
b3759ce7027dbb9543be31827577fddeb044a4a3 | f9d775fd3e03626a42bf00ec5d0bc27ab0f77a4e | /src/Chapter 1.1.lean | 45000cceb2e7f041b5db8df1f30f8d3cf721fe8b | [] | no_license | Nolrai/SummerCategory | d03d8340d431eb2b37c742dbe65f2611ba548430 | ce74ae4487ca7c0791bde8d14da4e0ca0ff838af | refs/heads/master | 1,588,316,039,936 | 1,553,374,940,000 | 1,553,374,940,000 | 177,340,028 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 606 | lean | /-Partitions Part 1-/
section
parameter α : Type
structure part := (box : α -> α -> Prop) (is_equiv : is_equiv _ box)
def refines (pl pr : part) := ∀ x y, pr.box x y -> pl.box x y
lemma refines_refl : ∀ p, refines p p
| p := begin simp [refines], intros, assumption end
lemma refines_trans : ∀ a b c, refines a b -... |
73c3445958f7b7b74dccf8ad82f0370d5d2d085f | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/homotopy/cellcomplex.hlean | 63a45400f994985358e15b75fb3ea3d1b11911eb | [
"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 | 1,882 | hlean | /-
Copyright (c) 2015 Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz
-/
import types.trunc homotopy.sphere hit.pushout
open eq is_trunc is_equiv nat equiv trunc prod pushout sigma sphere_index unit
-- where should this be?
definition ... |
77d963d8e7d66692cf3b583c0e4c49abccf028a0 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/algebra/operations.lean | 0aed542473aac668b75b2d411e1220bce1a634d9 | [
"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 | 13,884 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.basic
/-!
# Multiplication and division of submodules of an algebra.
An interface for multiplication and division of sub-R-modules of an R-algebra A is... |
2de6c572af016954ba56f11ff1592c81640e4215 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/linear_algebra/affine_space/independent.lean | 250475ff584037839a59f9ce281e3a9f8aa8d954 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,033 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import data.finset.sort
import data.matrix.notation
import linear_algebra.affine_space.combination
import linear_algebra.affine_space.affine_equiv
import linear_algebra.b... |
26656013b0a019efc6855cde4867ac620daf85ad | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/Func.lean | 432f172ebed81a58a887db7f41e3247ff046ca17 | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 387 | lean | def compose (α β γ : Type) (g : β → γ) (f : α → β) (x : α) : γ := g (f x)
def twice (α : Type) (f : α → α) (x : α) : α := f (f x)
def thrice (α : Type) (f : α → α) (x : α) : α := f ( f (f x))
variables (α β γ : Type)
def compose' (g : β → γ) (f : α → β) (x : α) : γ := g (f x)
#check compose
#check compose'
#prin... |
201cc9594e78b863a0eede9c09d501164aed5339 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/finset/sups.lean | 0c2c69a05642722faba960c87bb4075e8c87f51a | [
"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 | 13,908 | 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 data.finset.n_ary
import data.set.sups
/-!
# Set family operations
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding ... |
ba42e290d0b428f850dfd295513b95f6301b4469 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/set/function.lean | d18225edce0d947cbf2d19060ee9c8cff96da78c | [
"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 | 34,211 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu, Yury Kudryashov
-/
import data.set.basic
import logic.function.conjugate
/-!
# Functions over sets
## Main definitions
### Pr... |
39c1caad6966764aa1944ef2e855993378f6818d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/probability/probability_mass_function/uniform.lean | 576be0142d8db558197c8150d2d3d09a71d06fa8 | [
"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 | 7,189 | lean | /-
Copyright (c) 2022 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import probability.probability_mass_function.constructions
/-!
# Uniform Probability Mass Functions
This file defines a number of uniform `pmf` distributions from various i... |
e27bd229a9d5013a4479090ef643f93aa07bc648 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebraic_geometry/locally_ringed_space.lean | ab03f1d82675c7b633d05f05db28b3722ff30120 | [
"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 | 10,267 | 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 algebraic_geometry.ringed_space
import algebraic_geometry.stalks
import logic.equiv.transfer_instance
/-!
# The category of locally ringed spaces
We define ... |
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