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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e15dc1f5d9f6b3a6b372f752b78a7e63b1ed03f0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/completion4.lean | 51bbb26e19d9c84b244eb3248fbf0aea4311abdc | [
"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 | 447 | lean | structure S where
fn1 : Nat β IO Unit
fn2 : Bool β IO Unit
pred : String β Bool
def f (s : S) : IO Unit := do
s.fn1 10
s.
--^ textDocument/completion
def g1 (s : S) : IO Unit := do
if (β s.
--^ textDocument/completion
def g2 (s : S) : IO Unit := do
s.fn1 10
if (β s.f
--^ textDocume... |
9ee5cde2a2cd89622603fac1106757f1cc6a3a41 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/fix_reflect_string.lean | 2b3c15d5bb32d812b52e2210b620eea87876bbdc | [] | 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 | 888 | lean | /-
Copyright (c) 2020 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.PostPort
namespace Mathlib
/-!
# Workaround for stack overflows with `has_reflect string`
... |
467676a9a8e52ea24f29476672f795f68261f9e4 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/algebra/module/submodule_lattice.lean | 03dbd746a252b4b37d7fcb9c2d17570f637b0e6a | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,901 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov
-/
import algebra.module.submodule
/-!
# The lattice structure on `submodule`s
This file defines the lattice structure ... |
ec4ee72ef6a21e7e884ce6e6fcf48aae064f8afa | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Expr.lean | 8191c035f2d24b60a1846b9414bb14e60a0b7379 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 37,007 | 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
-/
import Lean.Data.KVMap
import Lean.Level
namespace Lean
inductive Literal where
| natVal (val : Nat)
| strVal (val : String)
deriving Inhabited, BEq... |
9fc8b38f020e84a3d95c0a82c63c5bed37d7bf51 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/ring_hom_properties.lean | 5799d9d7ea037175922b2875034a3e709d101546 | [
"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 | 6,579 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebra.category.Ring.constructions
import algebra.category.Ring.colimits
import category_theory.isomorphism
import ring_theory.localization.away
import ring_theory.... |
219f5e1ceca2e15ec4a9fe3ea4f5b96a611a3c72 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/simpExtraArgsBug.lean | 210c5d66634156a7ea065cf7e57f564d1b2bebd9 | [
"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 | 915 | lean | variable {X : Type u} {Y : Type v} {Z : Type w}
def comp (f : YβZ) (g : XβY) (x : X) := f (g x)
def swap (f : XβYβZ) (y : Y) (x : X) := f x y
def diag (f : XβXβY) (x : X) := (f x x)
@[simp] def comp_reduce (f : YβZ) (g : XβY) (x : X) : (comp f g x) = f (g x) := by simp[comp] done
def swap_reduce (f : XβYβZ) (y : Y) (... |
a61fd5ca93cd45965c6f48ab1b918821caebf0ea | 329788bf44a766cbceec47f6d3a91aeee20146cf | /src/elliptic_curve_rationals.lean | 898339b4bffb93a1e55b0e43402fb666d625ba82 | [] | no_license | jamiebell2805/BSD-conjecture | ca69613bb4b0d7051575ff6a7528ccace1bf9c6b | 74aa51f13750868b7011e397576d6f8035d69360 | refs/heads/master | 1,685,937,124,285 | 1,624,744,421,000 | 1,624,744,421,000 | 364,047,425 | 7 | 0 | null | 1,624,482,924,000 | 1,620,072,330,000 | Lean | UTF-8 | Lean | false | false | 14,573 | lean | import data.nat.prime
import data.zmod.basic
import data.complex.basic
import analysis.special_functions.pow
import analysis.analytic.basic
import analysis.calculus.iterated_deriv
import tprod
import fg_quotient
import algebra.module.basic
local attribute [semireducible] with_zero
def disc (a b : β€) : β€ :=
-16*(4*a^3+... |
2db2e3bedda49f6cdd7fa08ae3ff3c6427c648fa | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/set_theory/cardinal/basic.lean | 8583fd931b065cbc97908f2c537f8d22c7343a91 | [
"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 | 66,405 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Floris van Doorn
-/
import data.finsupp.basic
import data.nat.part_enat
import data.set.countable
import logic.small
import order.conditionally_complete... |
1206a2083d695744e2185dcccb888022c71e93a9 | be5348f86d661459153802318209304b793c0e2a | /src/deletion.lean | 83e40cc8661fe73707a78ff35f77995f603e7ab9 | [] | no_license | reglayass/lean-avl | 6b758c7708bdb3316b1b97ada3e3f259b49da58a | c7bffa75d7548e5ff8cdd7d69f5a58499f883df1 | refs/heads/master | 1,692,297,536,477 | 1,633,946,864,000 | 1,633,946,864,000 | 340,881,572 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,641 | lean | import definitions rotations del_root forall_keys tactic.linarith tactic.induction
set_option pp.generalized_field_notation false
universe u
namespace deletion_lemmas
open btree rotation_lemmas del_root_lemmas forall_keys_lemmas
variables {Ξ± : Type u}
/- Auxiliary lemma for deletion: a previously existing key's rel... |
57c328a8e2b8234c11f18ad6a5afa18d3b14babc | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/TypeClasses.lean | 0e26fbdbf064d46a29e83473f1aa8925838a092d | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,733 | lean | -- TODO: This is partly outdated.
import Structure.Basic
import Structure.SortStructure
import Structure.AbstractPiSigma
open StructureFunctor
open PiSigma
set_option autoBoundImplicitLocal false
universes u v
namespace TypeClasses
-- If `C` is a type class, we need to show that it is a functor in order to ... |
bb65601bf6ffd748f450b649a1aa2988714cbe29 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/linear_algebra/prod.lean | 4fcb79b3c2f3baa7ed45c308619a6d6f2c68eadb | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,363 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov, Eric Wieser
-/
import linear_algebra.basic
import order.partial_sups
/-! ### Products of modules
This file defines con... |
3797bfcc41caf4f08489cf71027b501511dc934f | 7b66d83f3b69dae0a3dfb684d7ebe5e9e3f3c913 | /src/solutions/thursday/afternoon/category_theory/exercise4.lean | d4ac1e566c04fe66ed746bddbd867fc00e0aa7d5 | [] | permissive | dpochekutov/lftcm2020 | 58a09e10f0e638075b97884d3c2612eb90296adb | cdfbf1ac089f21058e523db73f2476c9c98ed16a | refs/heads/master | 1,669,226,265,076 | 1,594,629,725,000 | 1,594,629,725,000 | 279,213,346 | 1 | 0 | MIT | 1,594,622,757,000 | 1,594,615,843,000 | null | UTF-8 | Lean | false | false | 913 | lean | import category_theory.monoidal.category
/-!
Let's construct the category of monoid objects in a monoidal category.
-/
universes v u
open category_theory
variables (C : Type u) [category.{v} C] [monoidal_category C]
structure Mon_in :=
(X : C)
(ΞΉ : π_ C βΆ X)
(ΞΌ : X β X βΆ X)
-- There are three missing axioms here!... |
d88588d29d80895582cd8c28aad90a18c1af4388 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/combinatorics/set_family/harris_kleitman.lean | 4130df8b0cbc7b44a6faa405f7efdff3cacc5f06 | [
"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 | 6,140 | lean | /-
Copyright (c) 2022 YaΓ«l Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: YaΓ«l Dillies
-/
import algebra.big_operators.basic
import combinatorics.set_family.compression.down
import order.upper_lower
/-!
# Harris-Kleitman inequality
This file proves the Harri... |
d91b889a50dc682e2e8204146b7b3fa153255212 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/ring_theory/prod.lean | 4c8554bb617361a189dc622670c589e7de158a22 | [
"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 | 3,783 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Chris Hughes, Mario Carneiro, Yury Kudryashov
-/
import algebra.group.prod
import algebra.ring
/-!
# Semiring, ring etc structures on `R Γ S`
In this file we define ... |
e7ac9ef1049f685559e8a5a8af6c781df9971f9a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/multiset/range.lean | e6dc92578e4b440234402fc725a9c814587783b9 | [
"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 | 1,087 | 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.multiset.basic
import data.list.range
/-! # `multiset.range n` gives `{0, 1, ..., n-1}` as a multiset. -/
open list nat
namespace multiset
/- r... |
0c25a7d99780c7edd22820f2dd6d4340979a44c5 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/tactic_failure.lean | 1e460db66f2ace595509ed174f283b1e9d25be53 | [
"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 | 75 | lean | open tactic
example (A B : Type) : B β A :=
by do intro `Hb, assumption
|
39188407fa777cb6ebd93254fd7b0f1308aab776 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch6/ex0502.lean | 62db1fed87589d5e37fc06e28b5529d8387c7814 | [] | 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 | 811 | lean | namespace hidden
variables {Ξ± : Type} (r : Ξ± β Ξ± β Prop)
definition reflexive : Prop := β (a : Ξ±), r a a
definition symmetric : Prop := β β¦a b : Ξ±β¦, r a b β r b a
definition transitive : Prop := β β¦a b c : Ξ±β¦, r a b β r b c β r a c
definition euclidean : Prop := β β¦a b c : Ξ±β¦, r a b β r a c β r b c
variab... |
09c4802bd578953b830cc35f1bf6b5d3ab0119c4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/lazylistThunk.lean | fc3f451ffbca63d20185ba8b2806646f69d4cec9 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,195 | lean | inductive LazyList (Ξ± : Type u)
| nil : LazyList Ξ±
| cons (hd : Ξ±) (tl : LazyList Ξ±) : LazyList Ξ±
| delayed (t : Thunk (LazyList Ξ±)) : LazyList Ξ±
deriving Inhabited
namespace LazyList
@[inline] protected def pure (a : Ξ±) : LazyList Ξ± :=
cons a nil
/-
Length of a list is number of actual elements
in the lis... |
0dc7c0ec91b36412eae9d45704793d1f8063f1ae | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/valuation/valuation_ring.lean | 6631c1583974d24e93971a7d898496dd81a951b2 | [
"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 | 17,249 | lean | /-
Copyright (c) 2022 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import ring_theory.valuation.integers
import ring_theory.ideal.local_ring
import ring_theory.localization.fraction_ring
import ring_theory.localization.integer
import ring_th... |
35e66f0f765daccb5c4f91a373579bcb1e37ca0c | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/for_mathlib/quotient_group.lean | fd81f52f0b39782bb2bfe9fd7a007509c11a6115 | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 2,117 | lean | import data.equiv.algebra
import group_theory.quotient_group
-- Some stuff is now in mathlib
namespace quotient_group
theorem map_id {G : Type*} [group G] (K : set G) [normal_subgroup K] (g : quotient K) :
map K K id (Ξ» x h, h) g = g := by induction g; refl
theorem map_comp
{G : Type*} {H : Type*} {J : Type*}
[... |
82ad6378b7dd6c4a9864267dacf80137c1e2d723 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/function.hlean | 9d3440fac698faea0fb451b613d2a2696921ef24 | [
"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 | 11,615 | 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
Ported from Coq HoTT
Theorems about embeddings and surjections
-/
import hit.trunc types.equiv cubical.square
open equiv sigma sigma.ops eq trunc is_trunc pi is_eq... |
9c7997dfec7435a8b63a9b0d80c809d51f03086a | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/or_shortcircuit.lean | 1d96f421898412413e159ff88645d5b9470231cf | [
"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 | 420 | lean | @[noinline] def c1 (x : Nat) : Bool :=
dbg_trace "executed c1"
x == 0
@[noinline] def c2 (x : Nat) : Bool :=
dbg_trace "executed c2"
x == 0
@[noinline] def c3 (x : Nat) : Bool :=
dbg_trace "executed c3"
x > 0
@[noinline] def f (x : Nat) := x + 1
def tst (x : Nat) : Nat := do
let x := if !c1 x || (!c2 ... |
de6a10d53f19e216f04e38cf809956b36472f431 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/linear/yoneda.lean | c888432d38571a55328069f92b535a9344269278 | [
"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 | 4,861 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Module.basic
import category_theory.linear.basic
import category_theory.preadditive.yoneda.basic
/-!
# The Yoneda embedding for `R`-linear ca... |
0f7ad9f34cafa01dd325bd7612c0fe2085eef82a | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/commutative_algebra/nilpotents.doc.lean | d8c2bfc9c5be189ed5860daf9327865a79e082cf | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,904 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
-/
import algebra.ring
import algebra.group_power
import ring_theory.ideals
import data.nat.choose
import data.zmod.basic
/-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~... |
5a5d605b0313d55ecf9668a48b50adc933cffce3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/hom/set.lean | 736dee0c5f8ab9b4faa2eb47f90fe40623bef26c | [
"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 | 3,949 | 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 order.hom.basic
import logic.equiv.set
import data.set.basic
/-!
# Order homomorphisms and sets
-/
open order_dual
variables {F Ξ± Ξ² Ξ³ Ξ΄ : Type*}
namespace ... |
81cf271833b6e3e462ff121ef4d4a2ec9746f5f2 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/linear_algebra/basic.lean | 6e62a4869190bf73e756edb8256c60a4f1c6b44b | [
"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 | 92,186 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Kevin Buzzard, Yury Kudryashov
-/
import algebra.pi_instances
import data.finsupp
/-!
# Linear algebra
This file defines the basics of linear algebra.... |
6630eae692db07439de225bdbda8e78f7f7c3a42 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/simplifier_custom_relations.lean | 31c260543e5ead95fe4b7fe640db73238e21abf2 | [
"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 | 1,004 | lean | open tactic
constants (A : Type) (rel : A β A β Prop)
(rel.refl : β a, rel a a)
(rel.symm : β a b, rel a b β rel b a)
(rel.trans : β a b c, rel a b β rel b c β rel a c)
attribute [refl] rel.refl
attribute [symm] rel.symm
attribute [trans] rel.trans
constants (x y z : A) (f g h : A β A)... |
b5509d349ae6c413428e89864cc463eb7be43fec | 5d95c8513fa8592ce314d1f40c23ad5eecfe1e34 | /src/util/meta/ind_utils.lean | f4d047af0def479b6a49b86045a3581d6bca49d1 | [
"Apache-2.0"
] | permissive | solovay/lean-universal | 6b792513ced2fe82218e7828400743375dd59e24 | 417ed5e1b030e547912cbfefe34df9d3d01c2b65 | refs/heads/master | 1,598,052,603,315 | 1,565,981,123,000 | 1,565,981,123,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,277 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .expr_ctx
meta structure inductive_declaration :=
(to_name : name)
(univ_params : list name)
(type : expr)
(num_params : nat)
(num_indices : nat)
(recursor : option name)
(constru... |
496e7f8537e7023d7fe4cf73042e0399b4e58025 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/data/bitvec.lean | 74afea77adfee527cb55cae1e7ce36e80c278e92 | [
"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 | 6,705 | lean | /-
Copyright (c) 2015 Joe Hendrix. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joe Hendrix, Sebastian Ullrich
Basic operations on bitvectors.
This is a work-in-progress, and contains additions to other theories.
-/
import data.vector
@[reducible] def bitvec (n : ... |
dc4029517bf181be1e60d341350970e1752ed4fb | 69bc7d0780be17e452d542a93f9599488f1c0c8e | /10-3-2019.lean | 541c9893f1a3f859d3bcdca00b9788bd6fb71822 | [] | no_license | joek13/cs2102-notes | b7352285b1d1184fae25594f89f5926d74e6d7b4 | 25bb18788641b20af9cf3c429afe1da9b2f5eafb | refs/heads/master | 1,673,461,162,867 | 1,575,561,090,000 | 1,575,561,090,000 | 207,573,549 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,463 | lean | -- Notes 10/3/2019
-- example of a polymorphic function: identity function
def identity {Ξ± : Type} : Ξ± β Ξ±
| x := x
-- explicit type arguments are denoted by ()
-- implicit type arguments are denoted by {}
def id' (Ξ± : Type) (a : Ξ±) : Ξ± := a
#eval id' nat 3
#check (id' nat) -- we can partially evaluate id', making... |
124485d86151c79ca785210fdb190a7067d1e1dd | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/linear_algebra/std_basis.lean | ee539ee79f627ac73cd17f8cd8acb8c648098c84 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,504 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
-/
import linear_algebra.basic
import linear_algebra.basis
import linear_algebra.pi
/-!
# The standard basis
This file defines the standard basis `std_basis R Ο i b j`... |
d3b7b292ed3e2a7a097c72189eae5424fa9ad848 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/lean/parser_auto.lean | b0328724ea569559466472b8dfc27302cf4636f8 | [] | 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 | 409 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.meta.has_reflect
import Mathlib.Lean3Lib.init.control.alternati... |
96278ea6ab3427bd0435068bdab033219e7d2e89 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/permutation.lean | 982f019d7cae146df814929b3046492c1834a078 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 10,788 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import data.list.join
/-!
# Permutations of a list
In this file we prove properties about `l... |
85ace2b6955493798c635a28acff7eec81210869 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /category_theory/fully_faithful.lean | 6c939166d78657463b1324d4ea71a05d8d1020d5 | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,687 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.isomorphism
universes vβ vβ vβ uβ uβ uβ -- declare the `v`'s first; see `category_theory.category` for an explanation
namespace category_... |
752db8e1f5a9271325d182ce3005df30e6a7318f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/module/opposites.lean | 1bc9f61281c3ffd225177f1538675d7dfa2cc340 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,196 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.module.linear_map
import Mathlib.algebra.opposites
import Mathlib.PostPort
universes u v... |
20102a2d157ceb29156b488c494ed3f34b069b05 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/logic/examples/propositional/soundness_type.lean | 91a4c6fa456bcb2f28cf098af1d6b91ced44cf84 | [
"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 | 7,129 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Define propositional calculus, valuation, provability, validity, prove soundness.
This file is based on Floris van Doorn Coq files.
Similar to soundness.lea... |
a3034b895a2dccc0f5067cbf836d443263b2080d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/category/Cat.lean | 3389fc80b7cac215f8181e176df2ab529813e776 | [
"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 | 3,802 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.concrete_category.bundled
import category_theory.discrete_category
import category_theory.types
import category_theory.bicategory.strict
/-!... |
74c45bfa0f2e76cfa9f1691243a64dd40add348c | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/hash_map.lean | 68699db23af63a8e531519d065b881c5600acb53 | [
"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 | 27,903 | 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, Mario Carneiro
-/
import data.list.basic data.pnat.basic data.array.lemmas
logic.basic algebra.group
data.list.defs data.nat.basic data.option.basic
... |
e7b62e66fd72c56ec0994118a2aa6142beecf45c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Data/FuzzyMatching.lean | d9878ead3123745b8cedab46f18d7e0fba261331 | [
"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 | 8,923 | lean | /-
Copyright (c) 2022 Lars KΓΆnig. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Lars KΓΆnig
The string fuzzy matching algorithm in this file is based on the algorithm
used in LLVM with some modifications. The LLVM algorithm itself is based on VS
code's client side filt... |
171d8d2e27f0222458844ec0e430a28c31e4d200 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/binrel.lean | e7616d28236f5e3b5ace4482870a5d13771f182a | [
"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 | 828 | lean | def ex1 (x y : Nat) (i j : Int) :=
binrel% LT.lt x i
def ex2 (x y : Nat) (i j : Int) :=
binrel% LT.lt i x
def ex3 (x y : Nat) (i j : Int) :=
binrel% LT.lt (i + 1) x
def ex4 (x y : Nat) (i j : Int) :=
binrel% LT.lt i (x + 1)
def ex5 (x y : Nat) (i j : Int) :=
binrel% LT.lt i (x + y)
def ex6 (x y : Nat) (i... |
be332579a5f5d9d75a20fb07f4d5cb6607bb417a | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /11_Tactic-Style_Proofs.org.46.lean | b1167a4cc115b6f74bf9769d4ee7e5b59751027c | [] | 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 | 224 | lean | import standard
import algebra.group
open algebra
variables {A : Type} [s : group A]
include s
theorem inv_eq_of_mul_eq_one {a b : A} (H : a * b = 1) : aβ»ΒΉ = b :=
by rewrite [-(mul_one aβ»ΒΉ), -H, inv_mul_cancel_left]
|
c6a00517adf1da616e0b47a867ac86fb16a8ec10 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/to_string.lean | 4301cfed3aeef744d421722b87a66485191c2216 | [
"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 | 3,771 | 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.string init.bool init.subtype init.unsigned init.prod init.sum
open bool list sum prod sigma subtype nat
universe variables u v
stru... |
47e8a837dc86915086ec25337025d8f837b1f02b | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Lean/Elab.lean | e884462a60362cf298d2b6018e0e0b0fb858ecd0 | [
"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 | 701 | 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.Elab.Import
import Lean.Elab.Exception
import Lean.Elab.Command
import Lean.Elab.Term
import Lean.Elab.App
import Lean.Elab.Binders
import Lean.... |
f20c8dd8cfc323c89c5c69af7047d6269d082a9a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/defaul_param3.lean | 96b974765a7f66a5f76ad337c44866f2f7a918f6 | [
"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 | 684 | lean | meta constant f (a : nat) (b : nat := 10) : tactic unit
meta example : tactic unit :=
f 10
constant g (a : nat) (b : nat := 10) (c : nat) : nat
example : g 0 = g 0 10 :=
rfl
noncomputable example : nat :=
g 0 1 2
noncomputable example : nat β nat :=
g 0
noncomputable def foo : nat β nat β nat :=
g
example : foo ... |
4021a6560a995588066164c99b467603519bdb0a | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Lean/Elab/AutoBound.lean | a057aaf20244615a0e6385a273235613b2b9a2bc | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,980 | 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.Data.Options
/- Basic support for auto bound implicit local names -/
namespace Lean.Elab
builtin_initialize
registerOption `autoBoundImplic... |
39fd14a1be3cc8577c04d1fa0bf1706d1fb39967 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/tools/super/lpo.lean | b36c76f73e75a4ec68295fd5ddac8df1783268ff | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,612 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
-- Polytime version of lexicographic path order as described in:
-- Things to know when implementing LPO, Bernd LΓΆchner, ESFOR 2004
import .utils
open expr decidable m... |
b297c8c9adbe208914df3ab5ee1d05ae9862d0a4 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/topology/algebra/ordered.lean | d7b9d849c1d31301c92c1ca55c283abed309f26c | [
"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 | 78,149 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Yury Kudryashov
-/
import tactic.tfae
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
import topology.constructions
... |
bced3fc7d7fd3df77b9e67cf05debbd2abff73bc | 46125763b4dbf50619e8846a1371029346f4c3db | /src/measure_theory/measure_space.lean | 26e9172f8981b2496a0ff5ff1c5d4f86fd2b940b | [
"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 | 35,607 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.set.lattice data.set.finite
import topology.instances.ennreal
measure_theory.outer_measure
/-!
# Measure spaces
Measures are rest... |
003e780c37bc1d1719294ace8bdef9eddedde69e | fe84e287c662151bb313504482b218a503b972f3 | /src/combinatorics/erase.lean | ad46363642d83a9a167f74c5cb5fd0ff42989c38 | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,821 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
This is about the obvious bijection (X \ {x}) β 1 β X, or
(option (erase a)) β Ξ± in Lean notation.
-/
import data.fintype.basic
namespace combinatorics
variables {... |
73201e431acef901638818a370ff879b62bb62fc | 7b89826c26634aa18c0110f1634f73027851edfe | /natural-number-game/src/world02/level02.lean | 8721c06e7ff927da5e2463ee185ef9935f8207f4 | [
"MIT"
] | permissive | marcofavorito/leanings | b7642344d8c9012a1cec74a804c5884297880c4d | 581b83be66ff4f8dd946fb6a1bb045d2ddf91076 | refs/heads/master | 1,672,310,991,244 | 1,603,031,766,000 | 1,603,031,766,000 | 279,163,004 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 354 | lean | import mynat.definition -- Imports the natural numbers.
import mynat.add -- imports addition.
namespace mynat -- hide
lemma add_assoc (a b c : mynat) : (a + b) + c = a + (b + c) :=
begin [nat_num_game]
induction c with d hd,
rw add_zero,
rw add_zero,
refl,
rw add_succ,
rw add_succ,
rw add_succ,
rw hd... |
473aa7341a564e5a6b29199b169b1a6ccd2cc1f4 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /hott/types/arrow.hlean | 34fcc74bd746735270e41d190445042b04a7686f | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,128 | hlean | /-
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
Ported from Coq HoTT
Theorems about arrow types (function spaces)
-/
import types.pi
open eq equiv is_equiv funext pi equiv.ops is_trunc unit
namespace pi
vari... |
c9d457474be1db91afb2775ac29e67d6adee64cd | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /library/init/data/rbmap/basic.lean | 426c9b31776162aecf1121810fcb2c2bf2ee1e1f | [
"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 | 2,941 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.rbtree.basic
universes u v w
def rbmap_lt {Ξ± : Type u} {Ξ² : Type v} (lt : Ξ± β Ξ± β Prop) (a b : Ξ± Γ Ξ²) : Prop :=
lt a.1 b.1
set_o... |
72122a26238180bf53f936fe6ecdfcd9d8df2c72 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/gcd_monoid/basic.lean | cb092a5eb93c0a303d63d3736ef2e5960810aacc | [
"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 | 47,956 | lean | /-
Copyright (c) 2018 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Jens Wagemaker
-/
import algebra.associated
import algebra.group_power.lemmas
/-!
# Monoids with normalization functions, `gcd`, and `lcm`
This file defines extra st... |
25e303d2d8e3cd336b0829918d8e8d0bff87af18 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/pi/basic_auto.lean | a003c07e9e9eb1ed2ed7c0bf4d3df2d6772818ef | [] | 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 | 5,269 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.natural_isomorphism
import Mathlib.category_theory.eq_to_hom
i... |
de5c0e932f7bbd3e92111ce64044db8ee1acd15e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/locally_constant/basic.lean | 78df3d95d6ba8f24972b9cf01ff76e945925f057 | [
"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 | 19,421 | 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 topology.subset_properties
import topology.connected
import topology.algebra.monoid
import topology.continuous_function.basic
import tactic.tfae
import tactic.... |
86610d106fbdca16ce32f3838ef96e6e1cf32486 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/nat/basic.lean | 77054910e87ca847b58be3d748428ee2b10bcb02 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 60,076 | 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
import algebra.order.sub
/-!
# Basic operations on the... |
484f7258b7a8cb4dec5c80a4c8e50240886e4d42 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Elab/DeclUtil.lean | 3163070b7768037e2017168c8048f9568633a384 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,901 | 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, Sebastian Ullrich
-/
import Lean.Meta.ExprDefEq
namespace Lean
namespace Meta
def forallTelescopeCompatibleAux {Ξ±} (k : Array Expr β Expr β Expr β MetaM Ξ±) ... |
0f782e6835a361605a2b854b4868349dc4545edd | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/div2.lean | 014d24531a477ca9d6d321d4ceb2d15bf75357de | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,935 | lean | import logic data.nat.sub algebra.relation data.prod
import tools.fake_simplifier
open nat relation relation.iff_ops prod
open fake_simplifier decidable
open eq.ops
namespace nat
-- A general recursion principle
-- -----------------------------
--
-- Data:
--
-- dom, codom : Type
-- default : codom
-- measure ... |
669647f275fd69181199416df38b8282e67418ce | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Control/StateCps.lean | 2747b258e8a912453e7d3b42083d46cb4057929d | [
"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 | 3,668 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Control.Lawful
/-!
The State monad transformer using CPS style.
-/
def StateCpsT (Ο : Type u) (m : Type u β Type v) (Ξ± : Type u) := (Ξ΄... |
9430395ac2a096488e02ae53da279d20c2231a11 | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/algebra/order/archimedean.lean | bbf0859725ce2a86f41b1821c9c296696089dfaf | [
"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 | 850 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import topology.order.basic
import algebra.order.archimedean
/-!
# Rational numbers are dense in a linear ordered archimedean field
In this file we prove th... |
5cff0c6e01d6d613bf7968c349b2f8184bbdfbc2 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/bool.lean | d0ca8b482e40e23cf74815c6d902eba620c04412 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 5,504 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
-/
/-!
# booleans
This file proves various trivial lemmas about booleans and their
relation to decidable propositions.
## Notations
This file... |
18c8112fee20575378be73352d2b8c83d2209775 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/back_chaining4.lean | 7f23a2e83849dc4e856bf494be15c38374e651a4 | [
"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 | 1,225 | lean | -- Backward chaining with hypotheses
constants {P Q R S T U : Prop}
constants (Huq : U β Q) (Hur : U β R) (Hus : U β S) (Hut : U β T)
attribute Huq [intro]
attribute Hur [intro]
attribute Hus [intro]
attribute Hut [intro]
open tactic
definition lemma4 : (P β Q) β (Q β R) β (R β S) β (S β T) β P β T :=
by do
H1 β in... |
1b4f09cb4d5ee5da6207623fced0a8c9652f4ae2 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/measure_theory/outer_measure.lean | 972a6fc210364cc549f2129a896500db4675981e | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 59,612 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import analysis.specific_limits
import measure_theory.measurable_space
import measure_theory.pi_system
import data.matrix.notation
import topology.alg... |
d2f9b85672ac611b6db4039d663e524f15d751c9 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/async_tactic.lean | 310906632ce003fe36ebf330beb36fbb507d4469 | [
"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 | 1,903 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import init.meta.tactic
import init.meta.interactive
import init.meta.instance_cache
namespace tactic
private meta def report {Ξ±} (s : tactic_state) : option ... |
406d785795b8be70f5fdcc02d7171f2c80145a93 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/whnfDelayedMVarIssue.lean | 5c9e93f5cfc94356a554e43ece87a1c3451f2f70 | [
"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 | 225 | lean | def Nat.isZero (n : Nat) :=
n == 0
def test (preDefs : Array (Array Nat)) : IO Unit := do
for preDefs in preDefs do
let preDef := preDefs[0]!
if preDef.isZero then
pure ()
else
IO.println "error"
|
5815c4f24aec6e32551c154b5fe3e6eeef00956d | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/ematch2.lean | e967184913df2f2976503df8725bae74ac3b9c03 | [
"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 | 986 | lean | namespace foo
universe variables u
variables {Ξ± : Type u}
open tactic
meta def add_insts : list (expr Γ expr) β tactic unit
| [] := skip
| ((inst, pr)::r) := do
assertv `_einst inst pr,
add_insts r
meta def internalize_hs : list expr β ematch_state β tactic ematch_state
| [] s := return s
| (h:... |
c8b4f737643ddeb27a37450e051c0ba296271383 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/rat/cast.lean | 12b18d1827bd5e669f682d778ad61ad567b7eb61 | [
"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 | 12,178 | lean | /-
Copyright (c) 2019 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.rat.order
/-!
# Casts for Rational Numbers
## Summary
We define the canonical injection from β into an arbitrary division ring and prove... |
1d377ff8ff88707d93a43ed8b52e5a6d23c95d6f | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/measure_theory/lebesgue_measure.lean | 9823b909172ea378dbba00a7e9c0f216c42c583c | [
"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 | 14,054 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
-/
import measure_theory.measure_space
import measure_theory.borel_space
/-!
# Lebesgue measure on the real line
-/
noncomputable theory
open classical set filter
open... |
6406cf3cdfdbb2a86f8315ad7883690882e44a73 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /tactic/ring.lean | 770c957e33ee4da8dbf35de9556cd79de82a9415 | [
"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 | 18,547 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Evaluate expressions in the language of (semi-)rings.
Based on http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.1.61.3041.pdf .
-/
import algebra.group_power tactic... |
dbe9aa55cfe3c1062950f9fea1c6d07e82cc2ffc | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/matrix/basic.lean | a8a613b1e9c1a0de73f97c2fa672b0e66fa628a9 | [
"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 | 80,270 | 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, Lu-Ming Zhang
-/
import algebra.algebra.pi
import algebra.big_operators.pi
import algebra.big_operators.ring
import al... |
24738bfbe2c2f4b5f884946928e703cfc804f9cd | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/structSorryBug.lean | a1113dbcae18555c1557572ec8a3e9a40eb4a5d3 | [
"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 | 92 | lean | instance has_arr : HasArr Preorder := { Arr := Function }
def foo : Nat := { first := 10 }
|
5e99737173b6754bf6ad4d7b8890ff37dc776474 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/topology/instances/real.lean | 12105150c5aebfb4164697f0916b609e23883c73 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 18,218 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
The real numbers β.
They are constructed as the topological completion of β. With the following steps:
(1) prove that β forms a uniform space.
(2) subt... |
62fbfec2c1733e00836f5f53981b7079be65571b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/doNotation3.lean | bc6bfb5a747c38dd491d05bc5924d43e201e3a51 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,611 | lean | theorem zeroLtOfLt : {a b : Nat} β a < b β 0 < b
| 0, _, h => h
| a+1, b, h =>
have a < b from Nat.ltTrans (Nat.ltSuccSelf _) h
zeroLtOfLt this
def fold {m Ξ± Ξ²} [Monad m] (as : Array Ξ±) (b : Ξ²) (f : Ξ± β Ξ² β m Ξ²) : m Ξ² := do
let rec loop : (i : Nat) β i β€ as.size β Ξ² β m Ξ²
| 0, h, b => b
| i+1, h, b => do
... |
9190ed680fc60de663c77e7d640af55c392d5ed7 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/category_theory/monoidal/CommMon_.lean | 7aa5f0ed4a20e641aa874dba6c8b50c0446d796a | [
"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 | 5,342 | 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 category_theory.monoidal.braided
import category_theory.monoidal.Mon_
/-!
# The category of commutative monoids in a braided monoidal category.
-/
universes ... |
d905b6f222416094d3ab79a9f73bf7736138f8b1 | 9e47285bdd500b89455fd905c20aabcd3af1a5cf | /ak_utils.lean | a886eaf65f84f5fe0017bd7e6b216d35e2c65459 | [] | no_license | akreuzer/feteke-lean | d4ec120e3e7dab9d36681499b239f0e57eb18349 | d030101b3ab2aa4155c2aa1a84021e833da3a497 | refs/heads/master | 1,610,987,214,936 | 1,490,906,196,000 | 1,490,906,196,000 | 86,744,981 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,897 | lean | /- Copyright (c) Alexander Kreuzer 2016
Lean Utilities Proofs for a proof of Feteke's lemma
All theorems are contained in the namespace ak.
Since these theorem come from different fields they are separated by sections.
-/
import theories.analysis.real_limit
import standard
import ak_compat
open eq.ops real analysis
... |
d82980033e4846e57f2b997e83d4d2652e8b7e89 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/ring_theory/witt_vector/verschiebung.lean | 416f20a5d05d1b24ce887d67a372e7c1a79e3529 | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,086 | 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 ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
/-!
## The Verschiebung operator
## References
* [Hazewinkel, *Witt Vectors*][Haze09]... |
42218204dbb96296675f9145b8f3872b71858a9d | bb31430994044506fa42fd667e2d556327e18dfe | /src/measure_theory/decomposition/unsigned_hahn.lean | e2d80b9594cf247f50a02ef4e8d11998491d7e26 | [
"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 | 8,544 | lean | /-
Copyright (c) 2019 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
-/
import measure_theory.measure.measure_space
/-!
# Unsigned Hahn decomposition theorem
This file proves the unsigned version of the Hahn decomposition theorem.
## M... |
31b67b9926ce1b6bc758dd319f1c1f05ac7613ff | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /hw6_quiz/cleaned up notes/proposition_logic_syntax_and_semantics.lean | 16ed30a8868b296cb4468fc011ad869321128c07 | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,080 | lean | --justin
inductive var : Type
| mk : β β var
inductive pExp : Type
| pTrue : pExp
| pFalse : pExp
| pVar : var β pExp
| pNot : pExp β pExp
| pAnd : pExp β pExp β pExp
| pOr : pExp β pExp β pExp
| pImp : pExp β pExp β pExp
| pIff : pExp β pExp β pExp
| pXor : pExp β pExp β pExp
open pExp
/-
not P
-/
-- implies
de... |
45669df0a49fc9f7395f491eb8b9233094de87df | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Elab/Tactic/Generalize.lean | f3f3da8ea8c370d2d9f059df86364f2668c6c09d | [
"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 | 1,006 | 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, Sebastian Ullrich
-/
import Lean.Meta.Tactic.Generalize
import Lean.Meta.Check
import Lean.Meta.Tactic.Intro
import Lean.Elab.Tactic.ElabTerm
import Lean.Elab... |
93cccceb2a06879b0717208ccfad88b57fb19905 | 5a6ff5f8d173cbfe51967eb4c96837e3a791fe3d | /mm0-lean/x86/bits.lean | e77af535c447d2c79f81fb74443121847bf3ac4d | [
"CC0-1.0"
] | permissive | digama0/mm0 | 491ac09146708aa1bb775007bf3dbe339ffc0096 | 98496badaf6464e56ed7b4204e7d54b85667cb01 | refs/heads/master | 1,692,321,030,902 | 1,686,254,458,000 | 1,686,254,458,000 | 172,456,790 | 273 | 38 | CC0-1.0 | 1,689,939,563,000 | 1,551,080,059,000 | Rust | UTF-8 | Lean | false | false | 10,199 | lean | -- import data.bitvec
import data.vector order.basic algebra.group_power
@[reducible] def bitvec (n : β) := vector bool n
namespace bitvec
open vector nat
-- Create a zero bitvector
@[reducible] protected def zero (n : β) : bitvec n := repeat ff n
-- Create a bitvector with the constant one.
@[reducible] protected ... |
e5ad5971856c1029204dd6fd11a3d3e09cdc4c77 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/match1.lean | 01f1625316c98be57395d8557a9fb2031fbfa55b | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 4,860 | lean | import Lean
def checkWithMkMatcherInput (matcher : Lean.Name) : Lean.MetaM Unit :=
Lean.Meta.Match.withMkMatcherInput matcher fun input => do
let res β Lean.Meta.Match.mkMatcher input
let origMatcher β Lean.getConstInfo matcher
if not <| input.matcherName == matcher then
throwError "matcher name not recons... |
c048d9381dc2e2e0cb995f113ca2e62d407063b3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/fin_cases.lean | e99e19f943f18b5a6f41c5cde7aa211de8625d91 | [] | 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 | 1,641 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
Case bashing:
* on `x β A`, for `A : finset Ξ±` or `A : list Ξ±`, or
* on `x : A`, with `[fintype A]`.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
impor... |
38cd9da779af517d82b2757767c0363150305f48 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_1977.lean | d1a2e01f9788f2fdfd30728914bcfb38f4e1072c | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 208 | lean | import data.real.basic
variables {x y : β}
namespace my_abs
-- BEGIN
theorem lt_abs : x < abs y β x < y β¨ x < -y :=
sorry
theorem abs_lt : abs x < y β - y < x β§ x < y :=
sorry
-- END
end my_abs |
309e2054709417eed9930fc8d924a178501d3583 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/analysis/normed_space/basic.lean | f929d957a0808e0e0baf4e564b1e8b71ccec564f | [
"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 | 55,623 | 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 HΓΆlzl
-/
import topology.instances.nnreal
import topology.instances.complex
import topology.algebra.module
import topology.metric_space.antilipschitz
/-!
# No... |
7040df0558160530e901f5480d05ba755a1fe5c2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/sites/sheafification.lean | 557577a7291c9f427a988ed9db5664a583ac2933 | [
"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 | 24,184 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.adjunction.fully_faithful
import category_theory.sites.plus
import category_theory.limits.concrete_category
import category_theory.concrete_category.el... |
20157b447b659261a0bfb53846fda8ff2771dbb6 | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /data/set/finite.lean | 5f394d9f6e496d84cfe3ad800024d234f790a05e | [
"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 | 11,663 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
Finite sets.
-/
import data.set.lattice data.nat.basic logic.function
data.fintype
open set lattice function
universes u v w
variables {Ξ± : Typ... |
a68046358f861d55b819e2bc99be1b1c3f140c71 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/array2.lean | 96f581922dc106dac3223f7df29c100379beeb22 | [
"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 | 307 | lean | check @array.mk
local infix ` << `:20 := array.push_back
def test1 :=
let v1 := mk_array 3 2,
v2 := v1 << 3 << 4,
v3 := (v2 << 5)^.write' 0 0 in
(v1, v2, v3)
vm_eval test1
def tst1 (n : nat) :=
let v1 := (mk_array n 1),
v2 := array.map (Ξ» v, v + 1) v1 in
v2^.read' 1
vm_eval tst1 10
|
097d4d3e5735215f3408aa0941ca4f2f06add7e1 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /category_theory/limits/cones.lean | 4551b382d12328d6759582edc95d8c2dccca1a9b | [
"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 | 8,046 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import category_theory.natural_isomorphism
import category_theory.whiskering
import category_theory.const
import category_theory.opposites
import ... |
94d9ef0c4a4fe57ce04978c8ca07a13ad3de257b | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/set/finite.lean | 93501337a875be36d666067bab35cbbe70e88864 | [
"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 | 25,872 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import data.fintype.basic
import algebra.big_operators.basic
/-!
# Finite sets
This file defines predicates `finite : set Ξ± β Prop` and `infinite : ... |
5b009e1012ad7aaa5cc4ba7023ac037ace607882 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/group_theory/index.lean | 4fa2b00ef9dba9570525e4a336a7c7a599e3a57d | [
"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 | 2,028 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import group_theory.coset
import set_theory.cardinal
/-!
# Index of a Subgroup
In this file we define the index of a subgroup, and prove several divisibility pro... |
4ca8763212a9a299514889132dc0fffb9aa96d8a | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/tools/super/clausifier.lean | 770fce9604da619b42a215108bc6740bdafd7f81 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,834 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .clause_ops
import .prover_state .misc_preprocessing
open expr list tactic monad decidable
universe u
namespace super
meta def try_option {a : Type u}... |
7f99c58677c814281c95733de1599642c24163e9 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/univInference.lean | 9639be939609b92307b13cc22207669e9e5ea57a | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,408 | lean |
universes wβ wβ wβ
namespace Struct
structure S1.{r, s} (Ξ± : Type s) : Type (max s r) :=
up :: (down : Ξ±)
def ex1.{u, v} (Ξ± : Type u) (Ο : Type (max v u)) (h : Ο = S1.{v, u} Ξ±) : True :=
trivial
structure S2.{u, v} (Ξ± : Sort u) (Ξ² : Sort v) :=
(a : Ξ±)
(b : Ξ²)
def ex2.{u, v} (Ξ± : Sort u) (Ξ² : Sort v) (Ο : S... |
7c212fab3b062982bfc1b003f38f04feffae00ce | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Data/SMap.lean | 0d9f3b4aa805a374b22cbdbf0a47878e7f16f4c6 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 3,073 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.HashMap
import Init.Data.PersistentHashMap
universes u v w w'
namespace Lean
/- Staged map for implementing the Environment. The ... |
5a5f9cf22053f828a8d1158922fbb62fd8ea9b25 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/conv_for_find.lean | b902f2dae61031a3d2f8ed9e13026042f05c615f | [
"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 | 1,192 | lean | -- typos should be caught
example {a b c : β} : (a * b) * c = (a * b) * c := begin
conv {
rw does_not_exist,
},
end
example {a b c : β} : (a * b) * c = (a * b) * c := begin
conv {
for (_ * _) [1] {
rw does_not_exist,
},
},
end
example {a b c : β} : (a * b) * c = (a * b) * c := begin
conv {... |
fc40af7106b835c8c3d6dbbb9bfab8ee5911c64f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/function/locally_integrable.lean | e8d07e8aeebf3dbc37373942b293222d8abe9600 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 8,042 | lean | /-
Copyright (c) 2022 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.integral.integrable_on
/-!
# Locally integrable functions
A function is called *locally integrable* (`measure_theory.locally_integrable`) ... |
4268df75dcf56f2e0d6fe1a5d563179c46992f44 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/types/nat/basic.hlean | a745067e161565b8af5a2a3f7002c7f4842330b2 | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 12,324 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
(Ported from standard library file data.nat.basic on May 02, 2015)
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad
Basic operations on the natural numbers.
-/
import algebra.ring... |
18c132fcb05d309c8e814391cde1aed36bf2b002 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/control/traversable/equiv.lean | 8394f0200b29b21884b52a87e75e5d60f379b292 | [
"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 | 4,477 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Transferring `traversable` instances using isomorphisms.
-/
import data.equiv.basic
import control.traversable.lemmas
universes u
namespace equiv
section functor
parameter... |
8f0354240a6d7f20b99278f9a75067c2787f534f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/lie/cartan_matrix.lean | fad2ebbe0ac5423a4b7cf428a78e10483a84a1a9 | [
"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 | 9,578 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie.free
import algebra.lie.quotient
import data.matrix.basic
/-!
# Lie algebras from Cartan matrices
Split semi-simple Lie algebras are uniquely determine... |
abbcb2ff875a7e51220b7f9a7fd6acae59e9c1e1 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/bases.lean | ce8b34f07a555c353023e9cbd1d220c9fdec5687 | [
"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 | 14,848 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
Bases of topologies. Countability axioms.
-/
import topology.constructions data.set.countable
open set filter lattice classical
namespace filter
univ... |
ab1362c5713388b1ab288bfc8722dcf719a295d6 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/set_theory/cardinal/finite.lean | 7b0d8ab267cd9dc6204f5268f23181cb8eb6b1b9 | [
"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 | 2,939 | 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 set_theory.cardinal.basic
/-!
# Finite Cardinality Functions
## Main Definitions
* `nat.card Ξ±` is the cardinality of `Ξ±` as a natural number.
If `Ξ±` is i... |
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