blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a5f6f03187e63779f7080cc89d6d78432b19665b | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/data/rbtree/insert.lean | 8cbedb147c3c5ca6d4dce5819e126b26562d10a5 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 33,618 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.rbtree.find
universes u v
local attribute [simp] rbnode.lift
namespace rbnode
variables {α : Type u}
open color
@[simp] lemma balance1_eq₁ (... |
4a2f3da6f3124e1f7de1fcdeed14ea3c0dbcea17 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/hom/monoid.lean | 9d36f82d867ce3471aef08e592349f40ef1c6409 | [
"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 | 21,650 | 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.pi.algebra
import algebra.hom.group
import algebra.order.group.instances
import algebra.order.monoid.with_zero.defs
import order.hom.basic
/-!
# Ordered mono... |
15103a32334fd461046562f2d78252e1b7b95d4b | 80162757f50b09d3cad5564907e4c9b00742e045 | /lattice.lean | b878ed3f326a24850f7a67c71500521574ff5543 | [] | 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 | 6,605 | lean | import .set .order
set_option old_structure_cmd true -- stops errors for diamonds.
universes u v
section
variables {α : Type u} {ι : Type v} {a b c: α}
/-- A function between preorders is monotone if
`a ≤ b` implies `f a ≤ f b`. -/
def monotone [preorder α] [preorder ι] (f : α → ι) := ∀⦃a b⦄, a ≤ b → f a ≤ f ... |
1355feeacb0bffcc13c228aa2c721d7ca230dacd | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/quadratic_form/prod.lean | 5b7d0039b76c5e514b6a1989c87bb42927dfc8d6 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 8,101 | lean | /-
Copyright (c) 2021 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.isometry
/-! # Quadratic form on product and pi types
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a... |
81bb1f13e9e5339b610a589f5c8abda88555d254 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/algebra/theories/action.lean | ca0719f4940c6add7964b52744b0dc5b27236770 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,754 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
namespace algebra
signature left_action (α : Type*) (β : Type*) :=
(act : α → β → β)
class left_action {α : Type*} {β : Type*} (s : left_action_sig α β) : Prop := intro ... |
6975ea8b675405e7cb15862104bc7eaaf0a34aa6 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /kb_solns/sets_level10.lean | 1a2b7940f04cb9c317a443f981014932edf03144 | [
"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 | 4,129 | lean | import data.real.basic
/-
# Chapter 1 : Sets
## Level 10
As a final test of your ability in working with sets, prove that the set of rational
numbers is dense in the reals.
This proof will, among other things, rely on several new axioms that appear
in the left side bar.
Note that you may need to change the type of... |
b4ec47192e44747149dbc8613563d23ce16501c8 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Meta/InferType.lean | 14167a757ffe65851faea815358977bf5920e65f | [
"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 | 17,230 | 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.Data.LBool
import Lean.Meta.Basic
namespace Lean
/-
Auxiliary function for instantiating the loose bound variables in `e` with `args[start:sto... |
e10e524a5e12939f2ccf5d96e21fd056b921fa41 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Elab/Print.lean | 070af7e0679e5367f4ec1e692be7357efc5c29f4 | [
"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 | 5,721 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FoldConsts
import Lean.Elab.Command
namespace Lean.Elab.Command
private def throwUnknownId (id : Name) : CommandElabM Unit :=
throwErro... |
66a7ed9a87168a42cf7d05c3182bc4f4c0248533 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/eq25.lean | 6ec2f1648c9d2a125705438f9787df0873e62ed1 | [
"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 | 152 | lean | inductive N :=
| O : N
| S : N → N
definition Nat := N
open N
definition add : Nat → Nat → Nat
| add O b := b
| add (S a) b := S (add a b)
|
9573608159f1e02e9025ce732d8f01e2818346c3 | 883eaea6bef0d3c38f46c45d3454e0af631a6e61 | /src/inClassNotes/langs/imp.lean | 36a94416d01a366a38a71b0512cbbf43f2841dbb | [] | no_license | hannahbrooke720/complogic-s21 | bd3c4981cfeb8642654d83ce874a5c50a3077948 | 3f4098b174c54e1699a07222662ffec7e14223f2 | refs/heads/master | 1,681,504,336,289 | 1,620,140,677,000 | 1,620,140,677,000 | 335,838,993 | 0 | 0 | null | 1,620,140,678,000 | 1,612,413,391,000 | Lean | UTF-8 | Lean | false | false | 5,043 | lean | import .arith_expr
import .bool_expr
/-
A little PL in which we have mutable
state and an update (assignment) operation.
-/
/-
We don't have mutable state in a pure functional language
-/
def x := 1
-- def x := 2
-- structure avar : Type := (idx : nat)
def X := avar.mk 0
def Y := avar.mk 1
def Z := avar.mk 2
def ... |
30943507544142f69ead85e5b997bdddf96e68b3 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /data/finsupp.lean | d2ad9e494f6f703bc36b2642eb76a6de430140fc | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 28,843 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type of functions with finite support.
Functions with finite support provide the basis for the following concrete instances:
* ℕ →₀ α: Polynomials (where α is a ring... |
1648866fb2cc40c93b3a2ab72eb45201eeedf015 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/multiset/basic.lean | 8be28fdcbfbed825681ec2ee95b16fda567886b7 | [
"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 | 94,879 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.bool.all_any
import data.list.perm
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
## Notation
We define the glob... |
67bb2b8e96a4753b0d7a2b032c5eb3a51a3d6901 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/data/real/ennreal.lean | e55f2ca1a5ae20204a49a9efbe70100b4dbe09cb | [
"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 | 54,697 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
-/
import data.real.nnreal
import data.set.intervals
/-!
# Extended non-negative reals
We define `ennreal := with_no ℝ≥0` to be the type of extended no... |
17428e660c0304f7325adf09da0a4d5c19133631 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/hex_char.lean | bc2f732dae4a0418dbd89c3eed099a62c3442429 | [
"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 | 39 | lean | #eval '\x41'
#eval '\x42'
#eval '\x43'
|
9f5e0d2e527c115db985be7eb0dee25cf04778d6 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/group_theory/sylow.lean | 853bd5f2b0dee5630a0e08dab9865f02a7b6c272 | [
"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 | 11,386 | 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 group_theory.quotient_group
import group_theory.order_of_element data.zmod.basic
open equiv fintype finset mul_action function
open equi... |
6298463c826624a9d57bf39dbfbeb7d7d2d151b7 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/box_integral/partition/additive.lean | ff36bec2ed7405346131b9b84c7779dbf9ec3f20 | [
"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 | 9,500 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.partition.split
import analysis.normed_space.operator_norm
import data.set.intervals.proj_Icc
/-!
# Box additive functions
We say tha... |
9d43680ad1fe81ebdf03cfb788217c52193cd51f | 28be2ab6091504b6ba250b367205fb94d50ab284 | /src/game/world10/level14.lean | c26d53421104214b3ae2b5e67ee5cb8eebbdae5a | [
"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 | 777 | lean | import game.world10.level13 -- hide
namespace mynat -- hide
/-
# Inequality world.
## Level 14: `add_le_add_left`
I know these are easy and we've done several already, but this is one
of the axioms for an ordered commutative monoid! The nature of formalising
is that we should formalise all "obvious" lemmas, and th... |
00ed7eeb750678fc0659f305f4b30418626ecb7c | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/universal/comparisons.lean | 78668210d49d3a50c9f5941a3798dab3b2da0c6f | [] | 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 | 5,992 | lean | import category_theory.limits
open category_theory
namespace category_theory.limits
universes u v
variables {C : Type u} [𝒞 : category.{u v} C] {Y Y₁ Y₂ Z : C}
include 𝒞
@[reducible] def binary_product_comparison (t : span Y Z) (X' : C) : (X' ⟶ t.X) → (X' ⟶ Y) × (X' ⟶ Z) :=
λ φ, (φ ≫ t.π₁, φ ≫ t.π₂)
def is_bina... |
e6aed7dd9e6128b5eea9d20150d151be57650541 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/category/omega_complete_partial_order.lean | dffcf5b9076fa70fd525c8380420c143f82c1f28 | [
"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 | 4,195 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.omega_complete_partial_order
import order.category.Preorder
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
impo... |
1da7d40e1604eb3fcee05b1f757ba925e04730e2 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/category/Group/basic.lean | f0412f448328544396dcb951bdda260008100d7f | [
"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 | 9,500 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.category.Mon.basic
import category_theory.endomorphism
/-!
# Category instances for group, add_group, comm_group, and add_comm_group.
We introduce th... |
84cfbc85a36c13d35dac50c0c7e3f7c26d4ad409 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/class_bug1.lean | d085d603e279c75f450a1e26e13b34e7c6b9153d | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 980 | lean | import logic
inductive category (ob : Type) (mor : ob → ob → Type) : Type :=
mk : Π (comp : Π⦃A B C : ob⦄, mor B C → mor A B → mor A C)
(id : Π {A : ob}, mor A A),
(Π {A B C D : ob} {f : mor A B} {g : mor B C} {h : mor C D},
comp h (comp g f) = comp (comp h g) f) →
(Π {A B... |
4aa7915d73f50be11ca84a005d10e00e31a36853 | 6b9f7292f079a781a1e11aec2932248bf70a9ac0 | /src/problems/day1.lean | b40d9baf298576021d1f9e03d9935b987bd02a9e | [] | no_license | cipher1024/advent-of-lean | f3abe5069f638b60ae2f5dd901e5688d21c9486c | f16bc92afe6e836bbde1a1172c571c7680dddc73 | refs/heads/master | 1,587,691,910,350 | 1,550,637,443,000 | 1,550,637,443,000 | 171,601,681 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 980 | lean | import data.buffer.parser
import system.io
import category.basic
namespace day1
def fn := "input/day1.txt"
open parser
def sign : parser (ℤ → ℤ) := id <$ ch '+' <|> has_neg.neg <$ ch '-'
def digit : parser ℤ := (λ c, char.to_nat c - '0'.to_nat) <$> sat (∈ "0123456789".to_list)
def parse_nat : parser ℤ :=
do ds ← ... |
84a89729d0b0dc47568aa96e363837970126021d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finsupp/interval.lean | e82f01c069ac3a04e85fb88e0a36bbb5cc70ef2b | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,049 | 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.finsupp
import data.finset.locally_finite
import data.finsupp.order
/-!
# Finite intervals of finitely supported functions
This file provides the `lo... |
010174a2ce13bc4b2e8ff8cd5e048e4f1015f935 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/convex/caratheodory.lean | a8bb59d48e0cbde7a2e30c0d9643529780a9a055 | [
"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 | 8,369 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import analysis.convex.combination
import linear_algebra.affine_space.independent
/-!
# Carathéodory's convexity theorem
Convex hull can be regarded... |
76938c8d2de1b3971913d56a996e56ea098ec7ca | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/measure_theory/integral/interval_integral.lean | 1c6c22436579314ac35e65e7146b82124d8c1c9b | [
"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 | 105,700 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot
-/
import measure_theory.integral.set_integral
import measure_theory.measure.lebesgue
import analysis.calculus.fderiv_measurable
import analysis.... |
59ad9ac53d16055755d44fea9fa6f7d84e2ab943 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/perm/sign.lean | e4bf4b0d7c664e7923004d371159217d9adc71e0 | [
"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 | 31,249 | 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.fintype.basic
import data.finset.sort
import data.nat.parity
import group_theory.perm.support
import group_theory.order_of_element
import tactic.norm_swap
imp... |
cea8ef4bd80783cbf7c97c2a8f725790be1a1f10 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/list/as_type.lean | 9fc80f3b1bd9192d715578ed6f686cfdf8f9df5b | [
"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 | 454 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.list.basic
namespace list
structure as_type {A : Type} (l : list A) : Type :=
(value : A) (is_member : value ∈ l)
namespace as_type
notation `⟪`:m... |
8a586c850d5ef6dbda3ca184b572f05e285227f5 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/field_power.lean | 3ccad7f3cbef4ce45f4365e0103648fa8cd82cc7 | [
"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 | 5,206 | 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
Integer power operation on fields.
-/
import algebra.group_power algebra.ordered_field algebra.group_with_zero_power
import tactic.wlog tactic.linarith
universe u
... |
be0129ba6cb2bcaca252b6709def671c794df174 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/mvar_backtrack.lean | 1aff48110eca987540c18fedd6a5b49b5d956666 | [
"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 | 366 | lean | namespace foo
open nat
class lt (n : inout ℕ) (m : ℕ)
instance succ_lt_succ_of_lt (n m) [lt n m] : lt (succ n) (succ m) := by constructor
instance zero_lt_succ (m) : lt 0 (succ m) := by constructor
class foo (n : inout ℕ) (m : ℕ)
instance (n m) [lt n 10] [lt m n] : foo n m := by constructor
def bar {n} (m) [foo n m]... |
bed060add2f38ec665e5dbe7f6cdd302371d7a85 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/semiquot.lean | 0b0ee53950914dd6a8b48dfcc00827aef3bd3302 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 7,658 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
A data type for semiquotients, which are classically equivalent to
nonempty sets, but are useful for programming; the idea is that
a semiquotient set `S` represents som... |
65358733e32c7e39095cdd5946c4beafebf7b9dd | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/parent_struct_inst.lean | 94e9e4b080ea2663bcbe56b4d1986a2b0632d2be | [
"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 | 165 | lean | open nat
class A := (n : ℕ)
definition f [A] := A.n
structure B extends A :=
(Hf : f = 0)
example : B := ⟨⟨0⟩, rfl⟩
example : B := (| (| 0 |), rfl |)
|
19bd6a9687dc653d3fb9d774d7462f8c6a813233 | 4d3f29a7b2eff44af8fd0d3176232e039acb9ee3 | /Mathlib/Mathlib.lean | ef742a4545ea1cebe3dda08ca3f89ddddb237b3d | [] | no_license | marijnheule/lamr | 5fc5d69d326ff92e321242cfd7f72e78d7f99d7e | 28cc4114c7361059bb54f407fa312bf38b48728b | refs/heads/main | 1,689,338,013,620 | 1,630,359,632,000 | 1,630,359,632,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,239 | lean | import Mathlib.Algebra.Group.Basic
import Mathlib.Algebra.Group.Defs
import Mathlib.Algebra.GroupWithZero.Defs
import Mathlib.Algebra.Ring.Basic
import Mathlib.Data.Array.Basic
import Mathlib.Data.ByteArray
import Mathlib.Data.Char
import Mathlib.Data.Equiv.Basic
import Mathlib.Data.Equiv.Functor
import Mathlib.Data.In... |
b23183d632e67ab7a14a145d04e7e0303090c2e6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/connected.lean | ef642ef23ac0bdf4c3549c14f2faeccf25d24dda | [
"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 | 63,172 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import data.int.succ_pred
import data.nat.succ_pred
import order.partial_sups
import order.succ_pred.relation
import topology.subset_... |
57621ea2622a20e79325b20fd51e89d246248ef2 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Parser/Do.lean | f0a2e630f031b8bffcda3939a62bc8608aa1ecc8 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 8,786 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Term
namespace Lean
namespace Parser
builtin_initialize registerBuiltinParserAttribute `builtinDoElemParser ``Category.doElem
builtin_i... |
b20aca75692a04e9fe5dcc643512c1ce1301e033 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/j3.lean | 3cb5d9b7bda2dd0f7f13a9a608999745a57b708e | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,415 | lean | import macros
import tactic
using Nat
definition dvd (a b : Nat) : Bool := ∃ c, a * c = b
infix 50 | : dvd
theorem dvd_elim {a b : Nat} (H : a | b) : ∃ c, a * c = b := H
theorem dvd_intro {a b : Nat} (c : Nat) (H : a * c = b) : a | b := exists_intro c H
set_opaque dvd true
theorem dvd_trans {a b c} (H1 : a | b) (H2... |
512fc62ad566641d74acb08dd058ff33a36174ff | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/linear_algebra/finite_dimensional.lean | b09bb14a61432bc95eb148c8e982c2313d696de0 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 17,130 | 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 ring_theory.noetherian linear_algebra.dimension
import ring_theory.principal_ideal_domain
/-!
# Finite dimensional vector spaces
Definition and basic properties... |
608c60cde18229988984c7108cf299e176ecfeca | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/adjunction/limits.lean | 1b009900b89d81ebeab2b49b3dff89e79f2770af | [
"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 | 8,656 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin
-/
import category_theory.adjunction.basic
import category_theory.limits.creates
open opposite
namespace category_theory.adjunction
open category_theory
open... |
772eb074469c2ad174ed312e262b8e3862ff733d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/star/pi.lean | e86ed581ead5576aa65c11349389defacf441631 | [
"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 | 1,646 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.star.basic
import algebra.ring.pi
import algebra.module.pi
/-!
# `star` on pi types
We put a `has_star` structure on pi types that operates elementwise, su... |
a336844ab532f868e1dfdc3ae26142913e90aea1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_topology/fundamental_groupoid/simply_connected.lean | e04bbe10c63b603d3516e6fe59d0a0216f09ea86 | [
"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 | 3,797 | lean | /-
Copyright (c) 2022 Praneeth Kolichala. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Praneeth Kolichala
-/
import algebraic_topology.fundamental_groupoid.induced_maps
import topology.homotopy.contractible
import category_theory.punit
import algebraic_topology.funda... |
9064c3fb97968c157a02c29e63daaa9e129355ca | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/elab_meta1.lean | 74eab02d9712b9be0cdf176ffa4a2b2e54c162f0 | [
"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 | 230 | lean |
meta definition f : nat → nat
| n := if n / 2 = 0 then n + 1 else f (n / 2) + 1
meta definition g : nat × nat → nat
| (0, b) := b
| (a+1, b+1) := g (a/2 - 1, a + b)
| (a+1, 0) := 2*a
vm_eval f 200
vm_eval g (10, 20)
|
f6af8eb878c21738fda601b0698b1cfb4a2257ec | 510e96af568b060ed5858226ad954c258549f143 | /algebra/lattice/filter.lean | ccae2306fda6f6703191c392fbdf3ea8d03b4081 | [] | 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 | 66,108 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of filters on sets.
-/
import .complete_lattice ...data.set .zorn
open lattice set
universes u v w x
section applicative
variables {f : Type u → Type v} [appli... |
bccc884bc4db10b2c09646a112f21d7177c30db7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/calculus/inverse.lean | 0d145396471edab45005490a410249a9d6c841d6 | [
"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 | 37,367 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Heather Macbeth, Sébastien Gouëzel
-/
import analysis.calculus.cont_diff
import tactic.ring_exp
import analysis.normed_space.banach
import topology.local_homeomorph
... |
06a0f1a3b08918c0db1cd43b39509bd30f30c996 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/types/fiber.hlean | 37f89ecbad3dd79d3f24a1a42ed9fe5a33c1ec6b | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 10,767 | 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, Mike Shulman
Ported from Coq HoTT
Theorems about fibers
-/
import .sigma .eq .pi cubical.squareover .pointed .eq
open equiv sigma sigma.ops eq pi pointed
structu... |
f191ee11088607aa14414dd498c6d14f4c85f183 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/algebra/uniform_group.lean | e38b175b567921a37788be753425ee8186db965d | [
"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 | 19,797 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Uniform structure on topological groups:
* `topological_add_group.to_uniform_space` and `topological_add_group_is_uniform` can be used to
construct a... |
ac21f7e5f6c94c9e536e7b065cefa7ef50276be9 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/meta/rb_map.lean | 3cafe71361dc664731be43ae6617b33e32c5f150 | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 6,292 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
-/
import data.option.defs
/-!
# rb_map
This file defines additional operations on native rb_maps and rb_sets.
These structures are defined in core in `init.meta.rb_m... |
4620b9bd658af80549f45086b0e72998e6389a21 | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /data/nat/prime.lean | b8b526bd0c8b4187c968ab54e6c51db1405b2f98 | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 15,089 | 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
Prime numbers.
-/
import data.nat.sqrt data.nat.gcd data.list.basic data.list.perm
open bool subtype
namespace nat
open decida... |
368760fe8cc2595203800cf9899e9cf25f6ebb4d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/module/basic.lean | 4aa56282af5f35ddbfc587bd37463f5326a4252d | [
"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 | 25,781 | 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.smul_with_zero
import group_theory.group_action.group
import tactic.abel
/-!
# Modules over a ring... |
51dce3b91ac8b05b3456f6493290f41289fde3b3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/normed/field/basic.lean | ea3f874e13211330c292b80aaf5c5fc2f5b79650 | [
"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 | 44,036 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.algebra.subalgebra.basic
import analysis.normed.group.infinite_sum
import topology.algebra.module.basic
import topology.instances.ennre... |
2fb6c0b9e25e7a94052df985ea03ea7ba41bda84 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/calculus/parametric_interval_integral.lean | f6e82e4cef6736eaa489464ba81365828e339f04 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 6,494 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.parametric_integral
import measure_theory.integral.interval_integral
/-!
# Derivatives of interval integrals depending on parameters
In t... |
47cdfe8c6711422a2eae39b48b190ea3944e500a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/attrCmd.lean | dbf13411dd402d5082341c1d52b0a1348be08543 | [
"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 | 132 | lean |
def M := StateM Nat
def f1 : M Nat :=
pure 0 -- failed to synthesize `Pure M`
attribute [reducible] M
def f2 : M Nat :=
pure 0
|
88156068deebe5f196c98f01353579adc237564a | c777c32c8e484e195053731103c5e52af26a25d1 | /src/linear_algebra/tensor_algebra/basic.lean | 98229da93f80286766a471a8132e83fe345f7645 | [
"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 | 10,849 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import algebra.free_algebra
import algebra.ring_quot
import algebra.triv_sq_zero_ext
import algebra.algebra.operations
import linear_algebra.multilinear.basic
/-!
# Tensor A... |
594a41978834da9b25bf0c5d2f603c53c18808d8 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/topology/algebra/group_completion.lean | c773ac5b45cc471a4270b77d7c7530599cdf78b5 | [
"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 | 5,497 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Completion of topological groups:
-/
import topology.uniform_space.completion topology.algebra.uniform_group
noncomputable theory
section group
open un... |
e563a1a10c181fc182f038a68b262065d4f8aec3 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/paracompact.lean | 5d4f89a52e1027ce59175cdfdeec1a8c39186a3d | [
"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 | 15,279 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Yury Kudryashov
-/
import topology.subset_properties
import topology.separation
import data.option.basic
/-!
# Paracompact topological spaces
A topological space `X` is... |
36ca3f94f708b0c3c23dc3f050ca73c87c940c56 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/types/bool.hlean | 7b3453d23e84e876a08b8b3ee2c00d69a82bb155 | [
"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 | 5,145 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Floris van Doorn
Partially ported from the standard library
-/
open eq eq.ops decidable
namespace bool
local attribute bor [reducible]
local attribute b... |
77110de1355feaa0835a1f893ee43dea0e846c7a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/model_theory/satisfiability.lean | c528b7d6b91599da67584e4f2f93156b23ed5199 | [
"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 | 26,741 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import model_theory.ultraproducts
import model_theory.bundled
import model_theory.skolem
/-!
# First-Order Satisfiability
This file deals with the satisfiability of ... |
9ddb2bc609fc4af71a5d5e1d1f7c6cd9fdd19fb5 | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/kernel.lean | 057f4c211052538a82a55fcceec91780ae041842 | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,284 | lean | import .group_representation
import .morphism
import .sub_module
universe variables u v w w' w'' w'''
variables {G : Type u} [group G] {R : Type v}[ring R]
variables {M1 : Type w} [add_comm_group M1] [module R M1]
{M2 : Type w'} [add_comm_group M2] [module R M2]
{ρ1 : group_representation G R M1... |
c8e70bef1f8ed0c17af8b1a4eebc3d3312e96bf8 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebraic_geometry/Gamma_Spec_adjunction.lean | ebe6c4c29ea3fb3f05242b9dbd6e6b2d641fcc9c | [
"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 | 16,140 | lean | /-
Copyright (c) 2021 Junyan Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Junyan Xu
-/
import algebraic_geometry.Scheme
import category_theory.adjunction.limits
import category_theory.adjunction.reflective
/-!
# Adjunction between `Γ` and `Spec`
We define the a... |
aec9b58877670e47fb15392cfac6abdb6920ceb1 | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/crypto/merkle/merkle_construction.lean | 32b205060ea9f31c8aa0f605ecd6aa17cd508212 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,241 | lean | import galois.data.bounded_list
import galois.list.take_drop_lemmas
universes u v
namespace ksi
namespace merkle
structure combine_result (Link Data : Type) :=
(root : Data)
(left : Link)
(right : Link)
/-- Operations needed to build a Merkle tree.-/
structure merkle_ops (Leaf Link Data : Type) :=
(empty_root : Dat... |
dab2fdea08c3a08be77ad412919dfec91b5451e7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/compiler/t2.lean | df84a5cb3418ee1c456bc4b75c40dff9407f0c5f | [
"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 | 2,966 | lean | /- Benchmark for new code generator -/
inductive Expr
| Val : Int → Expr
| Var : String → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
| Pow : Expr → Expr → Expr
| Ln : Expr → Expr
namespace Expr
partial def pown : Int → Int → Int
| a, 0 => 1
| a, 1 => a
| a, n =>
let b := pown a (n / 2);
b * b * (... |
d37f368689c5a5543ee66ee48d1b7805ea8eecf3 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/typeMismatch.lean | a8e9bdd5393dcabf6bf70225ad0f28cf5ec6111d | [
"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 | 185 | lean | import Lean
-- Test type mismatch error messages for "liftable" methods
def test (x : Nat) : IO Nat :=
IO.println ""
open Lean
def test (x : Expr) : MetaM Unit :=
Meta.isDefEq x x
|
329237efe9e6785d335c49215dab97499fbfa035 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/set/finite.lean | b4abd24f1a1a0130e05c3dbd17beaed61f364111 | [
"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 | 35,263 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.finset.sort
/-!
# Finite sets
This file defines predicates `finite : set α → Prop` and `infinite : set α → Prop` and proves some
basic f... |
ffb8583a31097a5881f11a470212670898b61f08 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/locally_convex/balanced_core_hull.lean | 65e6cf2b31a427aef0903ec0e86d08f00981cb28 | [
"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 | 9,647 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import analysis.locally_convex.basic
import order.closure
/-!
# Balanced Core and Balanced Hull
## Main definitions
* `balanced_core`: The largest balanced subset of a s... |
c8ac4ccf317136d415359e31c465a5f3d54a39b6 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/multiset/functor.lean | f0b5990c445791e8bf8230ed54f25ecc68a1549c | [
"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 | 4,259 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl, Simon Hudon, Kenny Lau
-/
import data.multiset.basic
import control.traversable.lemmas
import control.traversable.instances
/-!
# Functoriality of `multis... |
300605b5407b2041af327f791222ab9fc0ab75e1 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/partial_explicit1.lean | 81f676f9065dcece18c8efb63114c48c3bbb8416 | [
"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 | 130 | lean | lemma eq_rect (A : Type) (x : A) (P : A → Type) (f : P x) (y : A) (e : x = y) : P y :=
@eq.rec_on _ _ (λ (y : A), P y) _ e f
|
a2ebe822b09c9192a19f9698733b2de621036b22 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/convex/basic.lean | 825aa0709af1ee6b4682c21f312b325e397e9727 | [] | 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 | 50,401 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.intervals.ord_connected
import Mathlib.data.set.intervals... |
9557309cf1ff494a04b178fde4f317d8f768efea | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebraic_geometry/Spec.lean | fcc2c42962b83b541baa5848ac9cf01cff64a0c8 | [] | 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 | 1,407 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebraic_geometry.locally_ringed_space
import Mathlib.algebraic_geometry.structure_sheaf
i... |
5d52fc2bb6f919fd83c234f26b96478ad1b7f671 | 09b3e1beaeff2641ac75019c9f735d79d508071d | /Mathlib.lean | 9188d07654fdcf9352c4a280ae8b06fcf4872c97 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib4 | b819079cc46426b3c5c77413504b07541afacc19 | f8294a67548f8f3d1f5913677b070a2ef5bcf120 | refs/heads/master | 1,685,309,252,764 | 1,623,232,534,000 | 1,623,232,534,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 813 | lean | import Mathlib.Algebra.Group.Basic
import Mathlib.Algebra.Group.Defs
import Mathlib.Algebra.GroupWithZero.Defs
import Mathlib.Algebra.Ring.Basic
import Mathlib.Data.Array.Basic
import Mathlib.Data.ByteArray
import Mathlib.Data.Char
import Mathlib.Data.Equiv.Basic
import Mathlib.Data.Equiv.Functor
import Mathlib.Data.Li... |
21b21be3fd2ef6e9720cefd04fff69d2b4326c19 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/local_context.lean | 80cca54badd8e84a317e4c156e970013e4bf638e | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 2,096 | lean | prelude
import init.meta.name init.meta.expr init.data.option.basic
meta structure local_decl :=
(unique_name : name)
(pp_name : name)
(type : expr)
(value : option expr)
(bi : binder_info)
(idx : nat)
meta def local_decl.to_expr : local_decl → expr
| ⟨un, pn, y, _, bi, _⟩ := expr.local_const un pn bi y
/-- A local ... |
fe181b94823b9e4c1f641fce1d4d531041b6d59f | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Binders.lean | 54d0823280f5b13ac81f082bcd837b8838df3a4b | [
"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 | 32,503 | 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.Parser.Term
import Lean.Elab.Quotation.Precheck
import Lean.Elab.Term
import Lean.Elab.BindersUtil
import Lean.Elab.AuxDiscr
namespace Lean.Ela... |
0c279c1c3a51c7d2efca55e66bad48653c01a3be | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/dynamics/flow.lean | 3235f5a1b40f2eeacdce2a5eda9e0cb6974c89e8 | [
"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 | 6,146 | lean | /-
Copyright (c) 2020 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo
-/
import topology.algebra.group.basic
import logic.function.iterate
/-!
# Flows and invariant sets
This file defines a flow on a topological space `α` by a topological
monoid `τ` ... |
a9b941ea7cec99b075915a0d88037117f4720083 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/nat/gcd.lean | 422ec7f2dbe2f8c71d94822100732bc2d0f283b9 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,582 | 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
Definitions and properties of gcd, lcm, and coprime.
-/
import .div
open eq.ops well_founded decidable prod
open algebra
namespace nat
/- gcd -/
pri... |
b6ce331b7544319ac9106f9f9ce7ea99b182ce41 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/filter/at_top_bot_auto.lean | a5c5944386f0c0d6829d59f58464a6c7f079ddf2 | [] | 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 | 57,635 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.filter.bases
import Mathlib.data.fins... |
4dd31fd0861624d541fba60e8ed2f9fedd7bb273 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/data/ordering/default.lean | 729647f40cba42a68b0b61d13bed464ccb50ea96 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 194 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import .basic .lemmas
|
9b5154f263e2ecf81042bd841b8c3beee493d4c3 | c3de33d4701e6113627153fe1103b255e752ed7d | /data/list/sort.lean | e3c3aed2f5cbd86b57590f8f52af3422c5a6b68e | [] | no_license | jroesch/library_dev | 77d2b246ff47ab05d55cb9706a37d3de97038388 | 4faa0a45c6aa7eee6e661113c2072b8840bff79b | refs/heads/master | 1,611,281,606,352 | 1,495,661,644,000 | 1,495,661,644,000 | 92,340,430 | 0 | 0 | null | 1,495,663,344,000 | 1,495,663,344,000 | null | UTF-8 | Lean | false | false | 15,877 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Insertion sort and merge sort.
-/
import .perm
-- TODO(Jeremy): move this
namespace nat
theorem add_pos_left {m : ℕ} (h : m > 0) (n : ℕ) : m + n > 0 :=
calc
m + n > 0... |
d0cf8f1d3145eecc35e0d126ad073fe9d7ff2cba | 690889011852559ee5ac4dfea77092de8c832e7e | /src/algebra/floor.lean | 478f9c7bab1e7103d55f73a9ccd4cf3dedd5afd3 | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 9,680 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Kappelmann
-/
import data.int.basic
import tactic.linarith tactic.abel
/-!
# Floor and Ceil
## Summary
We define `floor`, `ceil`, and `nat_ceil` functions on li... |
b1d5ddff4f8816079809da582726e2c2da7ee881 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/order/sup_indep.lean | a91dab0d8ad134996960c4b7a3284dd29a1a9112 | [
"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 | 14,481 | lean | /-
Copyright (c) 2021 Aaron Anderson, Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Kevin Buzzard, Yaël Dillies, Eric Wieser
-/
import data.finset.pairwise
import data.finset.powerset
import data.fintype.basic
/-!
# Supremum independence... |
bf7d00b6a22983689cf28165e56176fc3457b713 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/locally_constant/algebra.lean | 158d2fc65bc0d6566b60f3c76aaa7c85c7190bc5 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 9,488 | 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 algebra.algebra.basic
import topology.locally_constant.basic
/-!
# Algebraic structure on locally constant functions
This file puts algebraic structure (`add... |
0d9af81c89269f0f9a68475675039af30adeac4c | 076f5040b63237c6dd928c6401329ed5adcb0e44 | /assignments/hw2_a_few_easy_pieces.lean | 48fafff0906a27c516da4a3a8a57397e45e6aaa7 | [] | no_license | kevinsullivan/uva-cs-dm-f19 | 0f123689cf6cb078f263950b18382a7086bf30be | 09a950752884bd7ade4be33e9e89a2c4b1927167 | refs/heads/master | 1,594,771,841,541 | 1,575,853,850,000 | 1,575,853,850,000 | 205,433,890 | 4 | 9 | null | 1,571,592,121,000 | 1,567,188,539,000 | Lean | UTF-8 | Lean | false | false | 4,517 | lean | /-
UVa CS Discrete Math (Sullivan) Homework #2
-/
/-
Note: We distribute homework assignments and
even exams as Lean files, as we do now for this
assignment. You will answer the questions in one
of two ways: by writing an answer in a comment block
(such as this one), or by writing mathematical logic
(which is what ... |
68bb14a8f0ce46d550e0dfb63b1022fb46648003 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/algebra/char_p.lean | 9b288fdf94de1b9a1f480d4911f67eda9bb3e9ab | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 12,504 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
-/
import data.fintype.basic
import data.nat.choose
import data.int.modeq
import algebra.module.basic
import algebra.iterate_hom
/-!
# Characteristi... |
218fa576b637cfe3b723331f00a50dc6bbac3468 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/ring_theory/unique_factorization_domain.lean | c7c86565658bff9a30f700316d227181ad1003bd | [
"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 | 19,715 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Theory of unique factorization domains.
@TODO: setup the complete lattice structure on `factor_set`.
-/
import algebra.gcd_domain
variables {α : Type*... |
573450f8b23867397ec581e0494c0456f892cc7d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/general_linear_group.lean | f4629219b1ec4c2aeacf65edb6b549f95811ce2e | [
"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 | 2,317 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.module.equiv
/-!
# The general linear group of linear maps
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspond... |
9a1f74cf69a500d14c931314915d28eef5a1f9ed | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/group_theory/monoid_localization.lean | 9c802740499b99e55aa7848c9f7eaf7eef23fd73 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 40,549 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import group_theory.congruence
import algebra.associated
import algebra.punit_instances
/-!
# Localizations of commutative monoids
Localizing a commutative ri... |
533e021a3256cea926f985fa82e03348b75bb154 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /archive/imo/imo1972_b2.lean | e1ad58e24f7dfd40a1fb80a6d7a3a0d768c9d806 | [
"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 | 4,418 | lean | /-
Copyright (c) 2020 Ruben Van de Velde, Stanislas Polu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ruben Van de Velde, Stanislas Polu
-/
import data.real.basic
import data.set.basic
import analysis.normed_space.basic
/-- IMO 1972 B2
Problem: `f` and `g` are re... |
eafc72e47b4052124c9c25192945ba5fb6e3914d | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/linear_algebra/basic.lean | ac1e5e52524fe13fff5baec61a2dd14aa05928d6 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 97,705 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov
-/
import algebra.pi_instances
import data.finsupp
/-!
# Linear algebra
This file defines the basics of linear algebra.... |
6378c32a7e260c8cf9488c9216b5ced0c73f6bf4 | 695574baef97a204f68217f2dfede8512fd91ff8 | /src/ralgebra.lean | eb9a3c1ca68cd0c489cad638289c4a1772faa979 | [] | no_license | JasonKYi/stone-weierstrass | ba463bedc758c4993e922afcc8cf8895a9257bd4 | 390affd1415cf393da55866b82fdf68747dee7a2 | refs/heads/master | 1,680,089,697,789 | 1,617,652,603,000 | 1,617,652,603,000 | 266,203,243 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,637 | lean | import topology.bounded_continuous_function
noncomputable theory
open set classical
local attribute [instance] prop_decidable
variables {X : Type*} [metric_space X] [compact_space X]
-- We adopt the notation of bounded countinuous function from mathlib
local infixr ` →ᵇ ` : 25 := bounded_continuous_function
/- In t... |
76705835c2fe6eb0f96c7239b526a557567c07d2 | 2fbe653e4bc441efde5e5d250566e65538709888 | /src/data/finsupp.lean | 01e7045ec5de282262b6bf4d3435c730a1b27265 | [
"Apache-2.0"
] | permissive | aceg00/mathlib | 5e15e79a8af87ff7eb8c17e2629c442ef24e746b | 8786ea6d6d46d6969ac9a869eb818bf100802882 | refs/heads/master | 1,649,202,698,930 | 1,580,924,783,000 | 1,580,924,783,000 | 149,197,272 | 0 | 0 | Apache-2.0 | 1,537,224,208,000 | 1,537,224,207,000 | null | UTF-8 | Lean | false | false | 62,065 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type of functions with finite support.
Functions with finite support provide the basis for the following concrete instances:
* ℕ →₀ α: Polynomials (where α is a ring... |
714f8fca0e9cce3943fda09cc90c7c70b1aadb37 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/topology/algebra/infinite_sum.lean | f08eb1dc86a72340be96793eec522ad06c15dbb0 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,179 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.intervals
import topology.instances.real
import topology.algebra.module
import data.indicator_function
import data.equiv.encodable.lattic... |
04ac7a312d48db4ff22002066b2701311fdf43d2 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.28.lean | 4709384abfca87e7872c8812db0b5fd5308f0b8c | [] | 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 | 301 | lean | import standard
import data.nat
open nat
example (x : ℕ) (H : x ≠ 0) : succ (pred x) = x :=
begin
revert H,
cases x,
-- first goal: ⊢ 0 ≠ 0 → succ (pred 0) = 0
{ intro H1,
apply (absurd rfl H1)},
-- second goal: ⊢ succ a ≠ 0 → succ (pred (succ a)) = succ a
{ intro H1,
apply rfl}
end
|
c0a846ae9dbc88dfd9fe5c23131750fb7f6292ce | de8d0cdc3dc15aa390280472764229d0e14e734c | /src/topological_spaces.lean | 79e86102756bd9a2c337b76d60a80afaa3c250ff | [] | no_license | amesnard0/lean-topology | 94720ccf0af34961b24b52b96bcfb19df5c8f544 | e8f6a720c435cb59d098579a26f6eb70ea05f91a | refs/heads/main | 1,682,525,569,376 | 1,622,116,766,000 | 1,622,116,766,000 | 358,047,823 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,722 | lean | import tactic
import data.set.finite
open set
-- Definition d'un espace topologique :
@[ext]
class topological_space (X : Type) :=
(is_open : set X → Prop)
(univ_mem : is_open univ)
(union : ∀ (B : set (set X)) (h : ∀ b ∈ B, is_open b), is_open (⋃₀ B))
(inter : ∀ {A B : set X} (hA : is_open A) (hB : is... |
c0d84c20a6a675bfa1570cc51975ba4454427580 | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/congruence.lean | 67e9bc912e59ae79121bc8ceb231e9829b8ed4a8 | [
"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 | 44,062 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import data.setoid.basic
import algebra.group.pi
import algebra.group.prod
import data.equiv.mul_add
import group_theory.submonoid.operations
/-!
# Congruence ... |
af901981b3a93473c155624a28c2baaec2beadd9 | b328e8ebb2ba923140e5137c83f09fa59516b793 | /stage0/src/Lean/Elab/MutualDef.lean | 7c672f8e427353069d242325c9e7ba4d69168943 | [
"Apache-2.0"
] | permissive | DrMaxis/lean4 | a781bcc095511687c56ab060e816fd948553e162 | 5a02c4facc0658aad627cfdcc3db203eac0cb544 | refs/heads/master | 1,677,051,517,055 | 1,611,876,226,000 | 1,611,876,226,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,306 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Term
import Lean.Meta.Closure
import Lean.Meta.Check
import Lean.Elab.Command
import Lean.Elab.DefView
import Lean.Elab.PreDefinition
imp... |
e78ca0efe784337933df001f799a24fd3cf880ca | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/expressions/boolean.lean | d8bf24b5902f32946fc771d24972c7a7ec4e0a00 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 667 | lean | /-
We have a better version of this. To be replaced.
-/
inductive bvar : Type
| mk (n : ℕ)
def bvar_eq : bvar → bvar → bool
| (bvar.mk n1) (bvar.mk n2) := n1=n2
inductive bExpr : Type
| BLit (b: bool)
| BVar (v: bvar)
def benv := bvar → bool
def bEval : bExpr → benv → bool
| (bExpr.BLit b) i := b
| (bExpr.BVar v) ... |
7cad00d36083da0e05be4e57b06bb275f851ec68 | 761d983a78bc025071bac14a3facced881cf5e53 | /new_affine/affine_with_frame.lean | ccf0aa033b819aea83eb6ea0ec48c5609920c731 | [] | no_license | rohanrajnair/affine_lib | bcf22ff892cf74ccb36a95bc9b7fff8e0adb2d0d | 83076864245ac547b9d615bc6a23804b1b4a8f70 | refs/heads/master | 1,673,320,928,343 | 1,603,036,653,000 | 1,603,036,653,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,878 | lean | import tactic.ext linear_algebra.affine_space.basic
import algebra.module linear_algebra.basis
universes u v w
variables (X : Type u) (K : Type v) (V : Type w) (ι : Type*)
[ring K] [add_comm_group V] [module K V]
variables (s : finset ι) (g : ι → K) (v : ι → V) [is_basis K v] [affine_space V X]
open_locale big_opera... |
116c8c1e20bb1a77d573dd0dd1b072ec730a68d0 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Init/Meta.lean | 9e6bdf7ceb58b32b058df004f603dcac8b65f13b | [
"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 | 45,739 | 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 and Sebastian Ullrich
Additional goodies for writing macros
-/
prelude
import Init.Data.Array.Basic
import Init.Data.Option.BasicAux
namespace Lean
@[extern... |
c2195def8e3c02d09ff5cdca2457461902ef906e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/localization/integral.lean | a2defcc55fc68b72a88111de57d289508fce8d59 | [
"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 | 17,379 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import algebra.ring.equiv
import group_theory.monoid_localization
import ring_theory.algebraic
import ring_theor... |
c5d67c8fe667cc4750898ce7379f7e15e83e2b62 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/tactic/interactive.lean | b9c5e1e3f8b83ab5eea03e0bcb97b254bda10116 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 27,125 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Sebastien Gouezel, Scott Morrison
-/
import data.dlist data.dlist.basic data.prod category.basic
tactic.basic tactic.rcases tactic.generalize_proofs
ta... |
b1de3c7f3f8a56aa8cf6d7746092869c06d1c498 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/direct_sum_module.lean | 4196caf26d6301139900312c8a39148856848511 | [
"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 | 4,749 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Direct sum of modules over commutative rings, indexed by a discrete type.
-/
import algebra.direct_sum
import linear_algebra.basic
/-!
# Direct sum of modules over commutative r... |
b27cf28b31f6eab87dc2ea929afb8313b3e247ab | 4727251e0cd73359b15b664c3170e5d754078599 | /src/number_theory/sum_four_squares.lean | 18e2a198015dcdcd4a1951517209b6899e8d5c76 | [
"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 | 11,862 | 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 algebra.group_power.identities
import data.zmod.basic
import field_theory.finite.basic
import data.int.parity
import data.fintype.card
/-!
# Lagrange's four squa... |
ce990bc222a44c6202397840eea1a10ea17e1542 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/field_theory/splitting_field.lean | 6822c25f64acb7030b75e5cf6f3f5696d1125918 | [
"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 | 8,901 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Definition of splitting fields, and definition of homomorphism into any field that splits
-/
import data.polynomial
import ring_theory.principal_ideal_domain
universes u v... |
61d6fc7cb38d5af20135a104e9dade5eae054203 | 88892181780ff536a81e794003fe058062f06758 | /src/100_theorems/t017.lean | 4e2ff6c1ccd1b2a5e8a1a98e962960c1587e0432 | [] | no_license | AtnNn/lean-sandbox | fe2c44280444e8bb8146ab8ac391c82b480c0a2e | 8c68afbdc09213173aef1be195da7a9a86060a97 | refs/heads/master | 1,623,004,395,876 | 1,579,969,507,000 | 1,579,969,507,000 | 146,666,368 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 173 | lean | import data.complex.exponential
open complex
theorem t017 : Π (n : ℕ) (z : ℂ), (cos z + sin z * I) ^ n = cos (↑n * z) + sin (↑n * z) * I
:= cos_add_sin_mul_I_pow
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.