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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5a6b71984b1f03b841cabc057369d1605b2a93d1 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/equiv/encodable/basic.lean | 2ce9a773e986b0ca555f5fcb005ed3d9c696f7fd | [
"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 | 17,916 | 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, Mario Carneiro
-/
import data.equiv.nat
import order.rel_iso
import order.directed
/-!
# Encodable types
This file defines encodable (constructively countab... |
f6d1f785f7130518ef0e71389021e68df622275e | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/logic/axioms/classical.lean | e1b46b5c141f47d553977c1f9d428b5a6b146b9e | [
"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 | 301 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: logic.axioms.classical
Author: Jeremy Avigad
-/
import logic.axioms.prop_complete logic.axioms.funext logic.axioms.hilbert
import logic.axioms.prop_decidable
|
d594c3cdc7119996c3c285875f891e2f1297e1f8 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/cases_tac1.lean | acb0fe39eff470d060394e798c8a0565ff1eb734 | [
"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 | 1,063 | lean |
inductive vec (A : Type*) : nat → Type*
| nil : vec 0
| cons : ∀ {n}, A → vec n → vec (n+1)
open tactic nat vec
definition head {A : Type*} : ∀ {n : nat}, vec A (n+1) → A
| n (cons h t) := h
definition tail {A : Type*} : ∀ {n : nat}, vec A (n+1) → vec A n
| n (cons h t) := t
attribute [defeq]
definition head_cons... |
867807099c9383f8f789fd7d673c2bbe2a1581b5 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/pnat/factors.lean | 0b068b2f02987f21e40714868fd91e74af7eab20 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 15,265 | 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 data.pnat.prime
import data.multiset.sort
import data.int.gcd
import algebra.group
/-!
# Prime factors of nonzero naturals
This file defines the factorizat... |
eb0bd60687f90b7d11a8b1de9263430865e9853b | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/def2.lean | 088cf178b75c5902f0e642d8fdc5e217c30f53fb | [
"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 | 510 | lean | new_frontend
inductive Vec.{u} (α : Type u) : Nat → Type u
| nil : Vec α 0
| cons : α → {n : Nat} → Vec α n → Vec α (n+1)
open Vec
universes u
variables {α : Type u}
variables (f : α → α → α)
def mapHead1 : {n : Nat} → Vec α n → Vec α n → Vec α n
| _, nil, nil => nil
| _, cons a va, cons b bv => cons (f a b) va
t... |
ed2530f488a9f5fc7b902d25a260332be4be5ac9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/derivingInhabited.lean | ab71f0f3ef7a78b353798af92e2fce23c13086c9 | [
"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 | 957 | lean | inductive Foo (α : Type u) (β : Type v) where
| mk₁ : α → Foo α β
| mk₂ : List β → Foo α β
deriving instance Inhabited for Foo
def ex1 : Inhabited (Foo α β) :=
inferInstance
inductive Bla (α : Type u) (β : Type v) where
| mk₁ : α → Bla α β
| mk₂ : β → Bla α β
deriving instance Inhabited for Bla
def ex2 [... |
0d10ad2f0e88f6b613cd4ff4757848cd9d9bf768 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/set_theory/cardinal.lean | e518da2be432100d2e4515461a4163349ed76bbb | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 44,826 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Mario Carneiro
-/
import data.set.countable data.quot logic.function set_theory.schroeder_bernstein
/-!
# Cardinal Numbers
We define cardinal numbers as a quotient of... |
763a5de56e80d0c72ddcb58251ca5fda6e45440d | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /products/products.lean | 33656229e6f588de4110d9b2a8286c2216f6d9b8 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 3,422 | 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 ..natural_transformation
-- set_option pp.universes true
open tqft.categories
open tqft.categories.functor
open tqft.categories.natural_tr... |
256b8e4e3d4791cc283277ee1c46a3e3f1584a90 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/metric_space/antilipschitz_auto.lean | 303426b77d1289e97b7e7c9d03a65a115d05a49b | [] | 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 | 5,440 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.metric_space.lipschitz
import Mathlib.PostPort
universes u_1 u_2 u_3
namespac... |
30e815a778f25f5bbe1b90c6b71273964c62ce3b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/stieltjes.lean | da738a87870862e6f593e3412b53a1f222b79f49 | [
"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 | 17,380 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov, Sébastien Gouëzel
-/
import measure_theory.constructions.borel_space
import topology.algebra.order.left_right_lim
/-!
# Stieltjes measures on the r... |
837f1490daee3145ccd7628bc8021b56ec5a7703 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /bezout.lean | 64ddc89c0199fcc15c4e4a4ba40a72fffcb0ebaf | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,034 | lean | import init.meta.well_founded_tactics
import tactic.norm_num
open well_founded
open nat
def euclid_n : nat → nat → nat
| 0 b:= 0
| (succ c) b := have b % succ c < succ c, from mod_lt _ $ succ_pos _,
succ (euclid_n (b % succ c) (succ c))
--copied from mathlib gcd definition
def euc... |
14cc86438b5c80eff68536cb3a344c22f554b7dd | 0e175f34f8dca5ea099671777e8d7446d7d74227 | /library/init/data/nat/bitwise.lean | dc201ffa53170f74094526a25be9d002cb9318aa | [
"Apache-2.0"
] | permissive | utensil-contrib/lean | b31266738071c654d96dac8b35d9ccffc8172fda | a28b9c8f78d982a4e82b1e4f7ce7988d87183ae8 | refs/heads/master | 1,670,045,564,075 | 1,597,397,599,000 | 1,597,397,599,000 | 287,528,503 | 0 | 0 | Apache-2.0 | 1,597,408,338,000 | 1,597,408,337,000 | null | UTF-8 | Lean | false | false | 11,156 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
prelude
import init.data.nat.lemmas init.meta.well_founded_tactics
universe u
namespace nat
def bodd_div2 : ℕ → bool × ℕ
| 0 := (ff, 0)
| (succ n) :=... |
7f532cddeb86ecc367de0ef0c56cf95d1f3ffd45 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/with_local_reducibility.lean | 7771078c9130ba58ea85eec1e098ef67dca77ed7 | [] | 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 | 1,150 | lean | /-
Copyright (c) 2020 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
universes l
namespace Mathlib
/-!
# `with_local_reducibil... |
5aba5f9f61dc7e27d1983a91e44b8b1cf1ea2315 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/data/char/lemmas.lean | fab27cfe93cfb05306d337a43f3379b8edf3047f | [
"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 | 810 | lean | prelude
import init.meta init.logic init.data.nat.lemmas
import init.data.char.basic
namespace char
lemma val_of_nat_eq_of_is_valid {n : nat} : is_valid_char n → (of_nat n).val = n :=
by intro h; unfold of_nat; rw [dif_pos h]
lemma val_of_nat_eq_of_not_is_valid {n : nat} : ¬ is_valid_char n → (of_nat n).val = 0 :=
by... |
4b3fddd047f5dfd412fc97c10fa9531684708130 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/continued_fractions/computation/translations_auto.lean | 40ebe7f85bc3e1fc431f03eb307d3ad35206cec3 | [] | 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 | 8,136 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.continued_fractions.computation.basic
import Mathlib.algebra.continued_fraction... |
29f676fb6e3753628e7af1b954bc14218ad8e3d4 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/finsupp.lean | 07098e14a669fc2f019274a66872feccf7d9bece | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 40,498 | 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... |
4ec5c02fca05bec341c63ef63b294d6d8e0a3e29 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/homotopy/path.lean | 7b34ea69810efc15683a4956fd23d72f0d345321 | [
"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 | 8,767 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import topology.homotopy.basic
import topology.path_connected
import analysis.convex.basic
/-!
# Homotopy between paths
In this file, we define a `homotopy` between ... |
5423680e54bf34a57241f82cdef7815e60b9ffd6 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/classical_lie_algebras.lean | 8309380a6df66347e3b1705d4d1366c8a07a52ec | [
"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 | 2,969 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie_algebra
import linear_algebra.matrix
/-!
# Classical Lie algebras
This file is the place to find definitions and basic properties of the classical Lie ... |
93c13814d7246b0a82bcb5b6a4d90506dc203902 | 367134ba5a65885e863bdc4507601606690974c1 | /src/field_theory/adjoin.lean | 7886255cb38422dbb3436450b0f09818a2d3a85d | [
"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 | 33,331 | lean | /-
Copyright (c) 2020 Thomas Browning and Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning and Patrick Lutz
-/
import field_theory.intermediate_field
import field_theory.splitting_field
import field_theory.separable
import ring_theory.adjoi... |
b6821fbb144ec7f05baecb7aae6d4cfda3f92bd0 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/compact_open.lean | 2c1e7851d52138c0318e0666ce2041d88d7b9d0f | [
"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 | 4,205 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
Type of continuous maps and the compact-open topology on them.
-/
import topology.subset_properties
import tactic.tidy
open set
open_locale topological_space
universes u v ... |
0c139178d18c10ad9a6b25fdb1a9b29191590d87 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/algebra/category/adjoint.hlean | 2649daedcb7b26ebe83cd92a39062c7002f77cf5 | [
"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 | 9,285 | 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
-/
import algebra.category.constructions function arity
open category functor nat_trans eq is_trunc iso equiv prod trunc function pi is_equiv
namespace category
... |
b6c4b8ffb30d7e60959913dcd0dd815c778c445c | e953c38599905267210b87fb5d82dcc3e52a4214 | /library/data/equiv.lean | 5d1abc0b96f975d07af24959344a0c277cd09447 | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 11,606 | 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
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types have the same car... |
b4e8cd9efb27f23a1527d33617816f4bb96ece0c | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /ring_theory/subring.lean | d92eb75532c7cd558802a00694a7ae70cf4919a3 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 3,759 | 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 group_theory.subgroup
import data.polynomial
import algebra.ring
local attribute [instance] classical.prop_decidable
universes u v
open group
variables {R ... |
9a400408d4f6142a0f33b0a8c1ba134901e99def | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/split_ifs.lean | ebb72c16c65b6ff0f595297b270c35d055c33631 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 3,020 | lean | /-
Copyright (c) 2018 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner.
Tactic to split if-then-else-expressions.
-/
open expr tactic
namespace tactic
open interactive
meta def find_if_cond : expr → option expr | e :=
e.fold none $ λ e _ a... |
4c4ff56b586e286e126d2a61a3f3f9662dffc061 | ef47cc39429c8f578004338bf040c9c309b26766 | /src/demos/category_theory.lean | 7bfdc158c3a1d776cdece021a233debc08022690 | [] | no_license | farmanb/lftcm2020 | 29f1c646437a8f8b00ee2e07c8b663ca04bfa16f | 1948bfaf58e3b340b39cd9b8366aa4f13e5ffa7d | refs/heads/master | 1,669,697,152,764 | 1,595,275,412,000 | 1,595,275,412,000 | 285,654,242 | 0 | 0 | null | 1,596,742,086,000 | 1,596,742,085,000 | null | UTF-8 | Lean | false | false | 14,666 | lean | import demos.category_theory_imports
/-!
This is a demo of the category theory library in mathlib,
as part of "Lean for the Curious Mathematician 2020".
You can get this file by:
* installing Lean if necessary: https://leanprover-community.github.io/get_started.html#regular-install
* `leanproject get lftcm2020`
* `co... |
85ac7f7a1cdee2c13a3d067c9320471ce14ec4da | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Meta/Tactic/Simp/Main.lean | b4d3217a93e3d3f3024e50cba1f3d44352afe4e1 | [
"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 | 12,624 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Transform
import Lean.Meta.Tactic.Simp.Types
import Lean.Meta.Tactic.Simp.Rewrite
namespace Lean.Meta
namespace Simp
builtin_initialize c... |
f185af5f869f4e11293bfaf7f25675fc06d5461e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/quaternion.lean | 62f97a483b85261af4cd1bbf8a654fe0f7752ccd | [
"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 | 25,072 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.algebra.basic
import set_theory.cardinal.ordinal
import tactic.ring_exp
/-!
# Quaternions
In this file we define quaternions `ℍ[R]` over a commutat... |
f2ea49fb5d296c27cd6eab358254813055bf6735 | 6e9cd8d58e550c481a3b45806bd34a3514c6b3e0 | /src/algebra/group_power.lean | d214f5a35a44dca26edefae43b0bf8e36f973a4e | [
"Apache-2.0"
] | permissive | sflicht/mathlib | 220fd16e463928110e7b0a50bbed7b731979407f | 1b2048d7195314a7e34e06770948ee00f0ac3545 | refs/heads/master | 1,665,934,056,043 | 1,591,373,803,000 | 1,591,373,803,000 | 269,815,267 | 0 | 0 | Apache-2.0 | 1,591,402,068,000 | 1,591,402,067,000 | null | UTF-8 | Lean | false | false | 29,323 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import data.int.basic
import data.equiv.basic
import deprecated.ring
/-!
# Power operations on monoids and groups
The power operation on monoids and ... |
2e0a7ef7efb3ba432fe0eb41913ddbb0ed86019f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/inst_bug.lean | 49d20c18847172e84a72ff630b9f65c1dfe6696a | [
"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 | 329 | lean | inductive is_equiv [class] (A B : Type) (f : A → B) : Type
definition inverse (A B : Type) (f : A → B) [H : is_equiv A B f] := Type
definition foo (A : Type) (B : A → Type) (h : A → A) (g : Π(a : A), B a → B a)
[H : Π(a : A), is_equiv _ _ (g a)] (x : A) : Type :=
inverse (B (h x)) (B (h x)) (g (h x))
|
06baa22b421306963c1d9251381a9ab5bb675810 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/rel_iso.lean | a0d9f738ae19e25d62248da2e2a34cb7e7367265 | [
"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 | 31,274 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import logic.embedding
import order.rel_classes
import data.set.intervals.basic
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α... |
c5ce50178166c9fd44763b58fa092cb786925059 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Leanc.lean | f45445ae6d16931a01cbfc536716b6270ca2a007 | [
"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 | 2,010 | lean | import Lean.Compiler.FFI
open Lean.Compiler.FFI
def main (args : List String) : IO UInt32 := do
if args.isEmpty then
IO.println "Lean C compiler
A simple wrapper around a C compiler. Defaults to `@LEANC_CC@`,
which can be overridden with the environment variable `LEAN_CC`. All parameters are passed
as-is to th... |
22881650977097a41091888598d96eba30981367 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/special_functions/gamma.lean | e0d175e767c5b7d33e6ad7f90c60c2834f77c103 | [
"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 | 23,589 | lean | /-
Copyright (c) 2022 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import measure_theory.integral.exp_decay
import analysis.calculus.parametric_integral
import analysis.special_functions.integrals
/-!
# The Gamma function
This file... |
0df6b4dc869d5fd0735ddd424056a4af0664dc24 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Compiler.lean | 53ae98ac60ca787f53399cce976a548cd8f54c3c | [
"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 | 890 | 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.Compiler.InlineAttrs
import Lean.Compiler.Specialize
import Lean.Compiler.ConstFolding
import Lean.Compiler.ClosedTermCache
import Lean.Compiler... |
74370b67b1576142726a06be479f57a4d81eaeb1 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/relation_tactics.lean | 1a77e1d2db34ea3c271d6eecb7137911bebfea9d | [
"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 | 1,909 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.function
namespace tactic
open expr
private meta def relation_tactic (md : transparency) (op_for : environment → name... |
d598aeb583d442c42e470d6b25d12eda00794822 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/wf2.lean | 5aa8d18cad21172632e101159702e1bc741f3a7a | [
"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 | 126 | lean | def g (x : Nat) (y : Nat) : Nat :=
if x < y then
2 * g (x-1) y -- Error here
else
0
termination_by measure (·.1)
|
a17c0f52cadefe642bf6660cdf2616c6579cd703 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/adjunction/default.lean | d2ec0fe4532e56dd48f1a9d0b52e89b1896dda22 | [
"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 | 41 | lean | import category_theory.adjunction.limits
|
d858a5fd9db4d7306fb57a9c75d09992dfc7f1a3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/kcomp.lean | bada12ea11d75bf583b07f1641ff46b763ef9277 | [
"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 | 954 | lean | set_option pp.notation false
constant A : Type
constants a b : A
constant P : A → Type
constant H₁ : a = a
constant H₂ : P a
constant H₃ : a = b
constant f {A : Type} (a : A) : a = a
eval (eq.rec H₂ (@f A a) : P a)
eval (eq.rec H₂ H₁ : P a)
eval (eq.rec H₂ H₃ : P b)
eval (eq.rec H₂ (@eq.refl A a) : P a)
-- ... |
53f4d0d985ace4650651a34079f5b7ac469078b2 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/types/pointed2.hlean | 120bb878cf7858bdfc656404bd822d22e98a025a | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 42,524 | hlean | /-
Copyright (c) 2017 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Yuri Sulyma
More results about pointed types.
Contains
- squares of pointed maps,
- equalities between pointed homotopies and
- squares between pointed homotopies... |
6be6886a9ff834d3e77ef1f31f23518fc349dcdc | abd85493667895c57a7507870867b28124b3998f | /src/ring_theory/algebra.lean | 2b96767f98635c5f923e8d8af6435eef33eb1892 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 32,223 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import data.matrix.basic
import linear_algebra.tensor_product
import data.equiv.ring
/-!
# Algebra over Commutative Semiring (under category)
In this file we... |
d6d959901bddb9d5ab063733bb0d0bee1d3efbf2 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/linear_combination.lean | 48173a2f005a974bd8a38da6839d2e39249b57ad | [
"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 | 17,227 | lean | /-
Copyright (c) 2022 Abby J. Goldberg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Abby J. Goldberg
-/
import tactic.ring
/-!
# linear_combination Tactic
In this file, the `linear_combination` tactic is created. This tactic, which
works over `ring`s, attempts t... |
023e6697e961c09d6e13b822c6dbf38291827203 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/mv_polynomial/comap.lean | cc761b53c11ee8947835cc460bb3113ab510b104 | [
"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 | 3,655 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.mv_polynomial.rename
/-!
# `comap` operation on `mv_polynomial`
This file defines the `comap` function on `mv_polynomial`.
`mv_polynomial.comap` is a ... |
d4c12af5733700667a2e149890e317f146c6552c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/class3.lean | 744afdf9c337f83241b747116b8568b98b0fc8c0 | [
"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 | 214 | lean | open tactic
section
variable {A : Type}
variable {B : Type}
variable Ha : inhabited A
variable Hb : inhabited B
include Ha Hb
def tst : inhabited (Prop × A × B) := by apply_instance
end
#print tst
|
55f5bf9255a44e4da27f2f0ea740314b6c04dd9b | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/algebra/category/iso.hlean | 4536f24c468bc09b773e34836260313298eb467a | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 14,275 | 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, Jakob von Raumer
-/
import .precategory types.sigma arity
open eq category prod equiv is_equiv sigma sigma.ops is_trunc
namespace iso
structure split_mono [clas... |
7044312fd257de532fe8015c2dae53218e366c99 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/init/funext.lean | dfa3dc1fa38351b468a31888bf63d437bad16076 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,174 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.funext
Author: Jeremy Avigad
Extensional equality for functions, and a proof of function extensionality from quotients.
-/
prelude
import init.quot init.logic
namespace f... |
34b172ef5bde9fc446e43083e611a43adbfd7501 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/pequiv.lean | 1d2c3b745b9e49e09eaad3cb9391a9b1aeb4c952 | [
"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 | 14,201 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set.basic
/-!
# Partial Equivalences
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
In this... |
171e96d07ca4c8c8a1e259b702fe2769b17d1799 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/preserves/basic.lean | 47b7218dec758b5b1c24438d568cb3c3f2b45dc0 | [
"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 | 34,147 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton, Bhavik Mehta, Jakob von Raumer
-/
import category_theory.limits.has_limits
/-!
# Preservation and reflection of (co)limits.
> THIS FILE IS SYNCHRONIZED W... |
686e2a64e28c191886b255f5e4a19e011cc71cac | c9e78e68dc955b2325401aec3a6d3240cd8b83f4 | /src/common_meta.lean | 7c84f556aee0ee9cb5e8b554ffb5c27b0d3b1a0b | [] | no_license | loganrjmurphy/lean-strategies | 4b8dd54771bb421c929a8bcb93a528ce6c1a70f1 | 832ea28077701b977b4fc59ed9a8ce6911654e59 | refs/heads/master | 1,682,732,168,860 | 1,621,444,295,000 | 1,621,444,295,000 | 278,458,841 | 3 | 0 | null | 1,613,755,728,000 | 1,594,324,763,000 | Lean | UTF-8 | Lean | false | false | 6,504 | lean | import system.io tactic justification LTS property_catalogue.LTL.patterns property_catalogue.LTL.pattern_meta
open io list lean.parser tactic interactive.types
open lean.parser (ident)
variable {α : Type}
def tscript_string : list string → string
| [] := string.empty
| [x] := x ++ ","
| (h::t) := h ++ ", \n " ++... |
d4dd7b760df4b18d8034dcd4277c427a4dbb8e31 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast23.lean | 3d8e1e7ab175fac71098b7abf374d087d9562ef6 | [
"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 | 280 | lean | -- Basic (propositional) forward chaining with nested backward chaining
constants (A B C D : Prop)
set_option blast.trace true
set_option blast.init_depth 10
set_option blast.inc_depth 1000
set_option pp.all true
definition lemma1 : A → (A → B) → C → B ∧ C :=
by blast
|
37c2aaeff2c863d742b2cc330e47a8fc0c3fb061 | 618003631150032a5676f229d13a079ac875ff77 | /test/finish4.lean | 8cafa40eba8dfef0ee99cb30916fe5ac4330d33d | [
"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 | 1,539 | lean | /-
Copyright (c) 2019 Jesse Michael Han. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Jesse Michael Han
Tests for `finish using [...]`
-/
import tactic.finish
import algebra.ordered_ring
section list_rev
open list
variable {α : Type*}
def append1 (a : α) : list... |
70a169113afeaaedf5ac9aab6f1444423f035fa6 | 56af0912bd25910f5caae91d6dd0603b0c032989 | /src/complex/Level_04_norm_sq.lean | 337c942781657aab2b10a808a1cff0230980a7a2 | [
"Apache-2.0"
] | permissive | isabella232/complex-number-game | ae36e0b1df9761d9df07049ca29c91ae44dbdc2d | 3d767f14041f9002e435bed3a3527fdd297c166d | refs/heads/master | 1,679,305,953,116 | 1,606,397,567,000 | 1,606,397,567,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,052 | lean | /-
Copyright (c) 2020 The Xena project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard.
Thanks: Imperial College London, leanprover-community
-/
-- Import levels 1 to 3
import complex.Level_03_conj
/-!
# Level 4: Norms
Define `norm_sq : ℂ → ℝ` by def... |
4972e865c3a09715fc82f0f2ff7347665a8b79b5 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/algebra/uniform_ring.lean | 680104806aed56519e92fd29dfdf0d6369038d4b | [
"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 | 8,686 | 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 topology.algebra.group_completion
import topology.algebra.ring
/-!
# Completion of topological rings:
This files endows the completion of a t... |
50bc0088733f80356f6e09d87214e00427a20bd9 | ba722bde0061712ae8f53594d0072db86ce39a91 | /instructor-notes/2019.10.14.prop_logic/prop_logic_test.lean | 9508f6a7246cd91eaaec245176877508da0d43b7 | [] | no_license | hr2fr/uva-cs-dm-f19 | a07ba6a8ff4aab63433cd9978aed1a21abf963f5 | c4ed517463d04bd2509014b7bb00a45fd1fef762 | refs/heads/master | 1,597,513,371,653 | 1,571,163,933,000 | 1,571,163,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,763 | lean | import .prop_logic
/-
A logic is a "formal language" with
a mathematically defined syntax and a
mathematically defined semantics. The
syntax of a language defines the set
of legal expressions in the language
(sometimes called formula, well-formed
formula, sentences, etc). The semantics
then explains how to give a mean... |
143487dd9a77c04e1d805e01fb81542f89777096 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/topology/metric_space/isometry.lean | e00f5c1eceeff8c2d4e9b753996dbe404b7b9b7b | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 7,881 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
We define isometries, i.e., maps between emetric spaces that preserve
the edistance (on metric spaces, these are exactly th... |
35c25798db511e13f6f43d1e109c6d8942f402f7 | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /test/run/ir/globalVariableRef.lean | e78c89d8a0484a6655f2062468012ecd5d6cba6a | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,421 | lean | import Papyrus
open Papyrus
def assertEq [Repr α] [DecidableEq α]
(expected actual : α) : IO (PLift (expected = actual)) := do
if h : expected = actual then return PLift.up h else
throw <| IO.userError s!"expected '{repr expected}', got '{repr actual}'"
def assertBEq [Repr α] [BEq α] (expected actual : α) : IO... |
388a903f1d5b1e16c7d1a4481fc8a752c0accac0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/triv_sq_zero_ext_auto.lean | bf079ebc23fc623a9968afa04f00c22480f10524 | [] | 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 | 10,809 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.algebra.basic
import Mathlib.PostPort
universes u v
namespace Mathlib
/-!
# Trivial Squar... |
580a8560b49537337ece4359ca2bf26afdd44503 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/662.lean | 37bdadb614bd316242550fa6236006c943f77e55 | [
"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 | 1,162 | lean | open nat
inductive type : Type
| Nat : type
| Func : type → type → type
open type
section var
variable {var : type → Type}
inductive term : type → Type
| Var : ∀ {t}, var t → term t
| Const : nat → term Nat
| Plus : term Nat → term Nat → term Nat
| Abs : ∀ {dom ran}, (var dom → term ran) → term (Func dom ran)... |
04812fe8bd69cb3a4e6e3a3c037a163e23188ecc | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/lattice.lean | e7c2b28cc3ea08f255af4459da07a5895af9dbbd | [
"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 | 10,951 | 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,
Scott Morrison
-/
import data.list.count
import data.list.infix
import algebra.order.monoid.min_... |
ab00bb9939d5983ab90ae8d7246e62e7518d1d5b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/505.lean | 57c5e5f05199a5d23f28c65117f0497c8c82d1af | [
"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 | 480 | lean | import data.set
open set
section
variable {A : Type}
definition set_of (P : A → Prop) : set A := P
notation `{` binders `|` r:(scoped:1 P, set_of P) `}` := r
definition insert (a : A) (s : set A) : set A := {x : A | x = a ∨ x ∈ s}
notation `⦃` s:(foldr `,` (a t, insert a t) ∅) `⦄` := s
notation `{` `{`... |
c70c7af5a30679c6f6788090b2e381e47beced71 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/probability/borel_cantelli.lean | 466f4da94528b71397a9039feb5daccde904334f | [
"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 | 4,742 | lean | /-
Copyright (c) 2022 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import probability.martingale.borel_cantelli
import probability.conditional_expectation
import probability.independence.basic
/-!
# The second Borel-Cantelli lemma
This ... |
688058d6a0a8c29fced245264ae4f1d9e8fa25dc | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/data/pnat/basic.lean | 7d4415ecdb2f8124770a9c3da77a89da1e7e02c3 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,867 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Neil Strickland
-/
import algebra.group_power.basic
import data.nat.basic
/-!
# The positive natural numbers
This file defines the type `ℕ+` or `pnat`, the sub... |
713841e3a00f04420092a18e0ce6757f143406b1 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/sigma/basic.lean | b125e7d0f867ddba9cb7c43454870be385f97c9c | [
"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 | 3,645 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
section sigma
variables {α : Type*} {β : α → Type*}
instance [inhabited α] [inhabited (β (default α))] : inhabited (sigma β) :=
⟨⟨default α, default (β (default α))⟩... |
8a2dbd7d115f56aa466caffb7f872121dd186623 | 92b1c7f0343a6a5cd36bc0f623a7490da3f1e0f3 | /src/stump/setup_measurable.lean | 4b575586a5e347350054c34d5746ea93a5a36061 | [
"Apache-2.0"
] | permissive | jtristan/stump-learnable | 717453eb590af16e60c7d3806cc9e66492fab091 | aa3c089f41602efa08d31ef6b41e549456186d57 | refs/heads/master | 1,625,630,634,360 | 1,607,552,106,000 | 1,607,552,106,000 | 218,629,406 | 15 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 9,848 | lean | /-
Copyright © 2019, Oracle and/or its affiliates. All rights reserved.
-/
import .setup_definition .setup_properties
open set
open measure_theory
open probability_measure
open lattice
local attribute [instance] classical.prop_decidable
namespace stump
variables (μ: probability_measure ℍ) (target: ℍ)
lemma is_me... |
bb8df7ff2d7bd994a3b5c2a4576af764156f49d5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/function_field.lean | 491ce0bc155923785f1ee104df614ede7c4b6740 | [
"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 | 10,675 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Ashvni Narayanan
-/
import algebra.order.group.type_tags
import field_theory.ratfunc
import ring_theory.dedekind_domain.integral_closure
import ring_theory.integrally_closed
... |
ddd17892b5ca0bb16ad65737f1d14dd95ec96835 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/finite/polynomial.lean | 5576616d7209b069478a135b60fce03fca0057d9 | [
"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 | 8,171 | 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 linear_algebra.finite_dimensional
import linear_algebra.basic
import ring_theory.mv_polynomial.basic
import data.mv_polynomial.expand
import field_theory.fini... |
99991de63e1278b624eefca9dc26337f3ed81d5a | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/bug1.lean | 51a932e73c76af2ea946abe6df51c30075e9a760 | [
"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 | 647 | lean | prelude definition bool : Type := Sort 0
definition and (p q : bool) : bool := ∀ c : bool, (p → q → c) → c
infixl ` ∧ `:25 := and
constant a : bool
-- Error
theorem and_intro1 (p q : bool) (H1 : p) (H2 : q) : a
:= fun (c : bool) (H : p -> q -> c), H H1 H2
-- Error
theorem and_intro2 (p q : bool) (H1 : ... |
5092fce04d48edf78bfccf7f53ca5621cf613bf2 | 29cc89d6158dd3b90acbdbcab4d2c7eb9a7dbf0f | /Exercises week 2/12_homework_sheet.lean | 2f94ae9b5092d3224322e2e2d8a4ae5b58f94ebb | [] | no_license | KjellZijlemaker/Logical_Verification_VU | ced0ba95316a30e3c94ba8eebd58ea004fa6f53b | 4578b93bf1615466996157bb333c84122b201d99 | refs/heads/master | 1,585,966,086,108 | 1,549,187,704,000 | 1,549,187,704,000 | 155,690,284 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,728 | lean | /- Homework 1.2: Basics — Proofs -/
/- Question 1: Drop and Take -/
def drop {α : Type} : ℕ → list α → list α
| 0 xs := xs
| (_ + 1) [] := []
| (m + 1) (x :: xs) := drop m xs
#reduce drop 2 [2,4,6, 8]
/- 1.1. Define `take`. -/
/- To avoid bad surprises in the proofs, we recommend that you follo... |
da8ceee0d4a2c7bc4b7617d7431d1032039c22dc | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/nat/choose.lean | f8e604a4838a9bee57b407022390309b69b6d9c9 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 5,666 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Mostly based on Jeremy Avigad's choose file in lean 2
-/
import data.nat.basic data.nat.prime
import algebra.big_operators
open nat
def choose : ℕ → ℕ → ℕ
| _ ... |
559ca6152fda8cf32b9ceaac1e3a66a21333f1cb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Server/Watchdog.lean | b67bb04ddbd44ba508965eed82aba87bacfe8762 | [
"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 | 30,397 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Init.Data.ByteArray
import Lean.Data.RBMap
import Lean.Util.Paths
import Lean.Data.FuzzyMatching
import Lean.Data.Jso... |
b908f371113d1b808030ce1da1a8e82e0ec2988f | 41e069072396dcd54bd9fdadb27cfd35fd07016a | /src/K/tableau.lean | ee108f7bc1f34252403eff230d6b5f319de329cb | [
"MIT"
] | permissive | semorrison/ModalTab | 438ad601bd2631ab9cfe1e61f0d1337a36e2367e | cc94099194a2b69f84eb7a770b7aac711825179f | refs/heads/master | 1,585,939,884,891 | 1,540,961,947,000 | 1,540,961,947,000 | 155,500,181 | 0 | 0 | MIT | 1,540,961,175,000 | 1,540,961,175,000 | null | UTF-8 | Lean | false | false | 1,075 | lean | import .full_language .jump
def fml_is_sat (Γ : list fml) : bool :=
match tableau (list.map fml.to_nnf Γ) with
| node.closed _ _ _ := ff
| node.open_ _ := tt
end
theorem classical_correctness (Γ : list fml) :
fml_is_sat Γ = tt ↔ ∃ (st : Type) (k : kripke st) s, fml_sat k s Γ :=
begin
cases h : fml_is_sat Γ,
con... |
5ed13d418f569bacb32a2f0013b5f844ede9e60e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/succ_pred/basic.lean | 5f731b900659682928c895ca1826389f44dbeeaa | [
"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 | 39,601 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.complete_lattice
import order.cover
import order.iterate
import tactic.monotonicity
/-!
# Successor and predecessor
This file defines successor and predece... |
73f0d10a7610322e6bf266c24d1b93db5a17b659 | 0a892cdf34f8e075df2134a851825cf6060314f4 | /stability.lean | 5744a3c85cffe9901720d2849386d8dc156c1aa1 | [] | no_license | dselsam/certifloat | 5114b804b073aaa58685a30bee26b859ba2f4f39 | f2d7e699057cb3aa63ac5b915b86a2344c447726 | refs/heads/master | 1,609,525,830,636 | 1,501,015,996,000 | 1,501,015,996,000 | 72,208,761 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,910 | lean | -- TODO(dhs): need to do this over tensors, need multi-dimension relative errors
namespace real
constants (real : Type)
notation `ℝ` := real
axiom real_linear_ordered_field : linear_ordered_field real
noncomputable instance : linear_ordered_field real := real_linear_ordered_field
constants (sqrt : ℝ → ℝ)
axiom sqrt... |
f7de8d4f492e3cfda7f859c6cb2d33e14c400444 | 137c667471a40116a7afd7261f030b30180468c2 | /src/topology/instances/ennreal.lean | bc877ea24b831cac8db291fd093df4723514543e | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 51,389 | 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 topology.instances.nnreal
import topology.algebra.ordered.liminf_limsup
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter m... |
97ce05428de5b9e83a9bc1cf16fb33214d47839d | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/category_theory/comma.lean | 1e0f44836c907615a293a5bd6fb0b77d85f4f128 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 22,484 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin, Bhavik Mehta
-/
import category_theory.isomorphism
import category_theory.equivalence
import category_theory.punit
import category_theory.reflect_isomor... |
034e21f7c15a0fcd8cf2e67e6677e10389de8f1d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/char/basic_auto.lean | a77ff7768b25a3974534593ca66bbbc7158e2f0c | [] | 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 | 4,246 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.nat.basic
universes l
namespace Mathlib
def is_valid_char (n : ℕ) :=
n <
bit0
(b... |
f5ab5b63476615def6654aa380f7a5a3c68b507a | ac2987d8c7832fb4a87edb6bee26141facbb6fa0 | /Mathlib/Data/Array/Basic.lean | 616a2f8008fa7d946f1f0e4598bcb8adefa1502c | [
"Apache-2.0"
] | permissive | AurelienSaue/mathlib4 | 52204b9bd9d207c922fe0cf3397166728bb6c2e2 | 84271fe0875bafdaa88ac41f1b5a7c18151bd0d5 | refs/heads/master | 1,689,156,096,545 | 1,629,378,840,000 | 1,629,378,840,000 | 389,648,603 | 0 | 0 | Apache-2.0 | 1,627,307,284,000 | 1,627,307,284,000 | null | UTF-8 | Lean | false | false | 1,175 | lean | import Mathlib.Data.List.Basic
@[simp] theorem List.toArrayAux_data : ∀ (l : List α) a, (l.toArrayAux a).data = a.data ++ l
| [], r => (append_nil _).symm
| a::as, r => (toArrayAux_data as (r.push a)).trans $
by simp [Array.push, append_assoc, List.concat_eq_append]
@[simp] theorem List.toArray_data (l : List α) : ... |
fd16b031849efb4aec0d1e02dec5f339b4f25efc | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/group/units_hom.lean | 02fe3b54af01b7ce9da2592b7fb96d5e1db6f5bb | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 4,950 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
-/
import algebra.group.hom
/-!
# Lift monoid homomorphisms to group homomorphisms of their units subgroups.
-/
universes u v w
namespace u... |
30300f97ee560198bca12f44818d869e891b353b | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/time_expr_old.lean | 1d506b731f71186eb38cbcd70e1425bcd3c54630 | [] | 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 | 13,143 | lean | import .expr_base
import ...phys.time.time
namespace lang.time
universes u
variables
(K : Type u) [field K] [inhabited K]
{f : fm K TIME} {sp : spc K f}
/-
Duration
-/
structure duration_var {K : Type u} [field K] [inhabited K] {f : fm K TIME} (sp : spc K f) extends var
/-
Time
-/
structure time_var {K : Ty... |
5a16bed115f1b115ab81617b1a6bab84c02d6071 | fa01e273a2a9f22530e6adb1ed7d4f54bb15c8d7 | /src/N2O/Data/Vector.lean | 6ae9816396aa93554ae289e2b63a68349deaa3a3 | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/n2o | 4c99afb11fff0a1e3dae6b3bc8a3b7fc42c314ac | 58c1fbf4ef892ed86bdc6b78ec9ca5a403715c2d | refs/heads/master | 1,670,314,676,229 | 1,669,086,375,000 | 1,669,086,375,000 | 200,506,953 | 16 | 6 | null | null | null | null | UTF-8 | Lean | false | false | 465 | lean | def Vector (α : Type) : Nat → Type
| 0 => Unit
| n + 1 => α × Vector α n
namespace Vector
variable {α : Type} {n : Nat}
def nil : Vector α 0 := Unit.unit
def cons : α → Vector α n → Vector α (n + 1) :=
Prod.mk
def head : Vector α (n + 1) → α := Prod.fst
def tail : Vector α (n + 1) → Vector α n := Prod.snd
def ... |
cb6bc55f153c571685574541a49231a324584aee | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/category/Semigroup/basic.lean | ac52d3dc5ee6411f6690a22b5657aaa6d8f90a5c | [
"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 | 6,308 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer (heavily based on `Mon.basic` by Scott Morrison)
-/
import category_theory.concrete_category.bundled_hom
import category_theory.concrete_category.reflects_isomor... |
6c23a2a440bec8adcb47660139adcd4b75f57251 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/subst.lean | fd241a468f485f1e51c695c55cebd3be6ed98542 | [
"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 | 2,274 | lean | #lang lean4
universes u
def f1 (n m : Nat) (x : Fin n) (h : n = m) : Fin m :=
h ▸ x
def f2 (n m : Nat) (x : Fin n) (h : m = n) : Fin m :=
h ▸ x
theorem ex1 {α : Sort u} {a b c : α} (h₁ : a = b) (h₂ : b = c) : a = c :=
h₂ ▸ h₁
theorem ex2 {α : Sort u} {a b : α} (h : a = b) : b = a :=
h ▸ rfl
theorem ex3 {α : Sort ... |
73232d2e5751c9f23b54f6b70859a24ff2fa4448 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/ordmap/ordset.lean | a89840f61df0a223cb8fdebbbcb0db3efa48c136 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 69,325 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.ordmap.ordnode
import algebra.order.ring
import data.nat.dist
import tactic.linarith
/-!
# Verification of the `ordnode α` datatype
This file proves the... |
0ba7299bdc57f491d43aeae3de362f9ab1c0c6aa | f00cc9c04d77f9621aa57d1406d35c522c3ff82c | /library/init/algebra/functions.lean | 1795b9841ae0ec10b93c09e74ef28c1e476ce301 | [
"Apache-2.0"
] | permissive | shonfeder/lean | 444c66a74676d74fb3ef682d88cd0f5c1bf928a5 | 24d5a1592d80cefe86552d96410c51bb07e6d411 | refs/heads/master | 1,619,338,440,905 | 1,512,842,340,000 | 1,512,842,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,317 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.algebra.ordered_field
universe u
definition min {α : Type u} [decidable_linear_order α] (a b : α) : α := if a ≤ b then ... |
3d118df23a0f6fc4f728f8df16ccb4527f02c6eb | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /test/Find.lean | 4817c057864e9526ce3d1ddc77f799b6f4b9a92c | [
"Apache-2.0"
] | permissive | denayd/mathlib4 | 750e0dcd106554640a1ac701e51517501a574715 | 7f40a5c514066801ab3c6d431e9f405baa9b9c58 | refs/heads/master | 1,693,743,991,894 | 1,636,618,048,000 | 1,636,618,048,000 | 373,926,241 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 213 | lean | import Mathlib.Tactic.Find
theorem add_comm_zero : 0 + n = n + 0 := Nat.add_comm _ _
#find _ + _ = _ + _
#find ?n + _ = _ + ?n
#find (_ : Nat) + _ = _ + _
#find Nat → Nat
#find ?n ≤ ?m → ?n + _ ≤ ?m + _
|
1ecce090bba7876e63f4c05f3fffd77e59468c15 | d8870c0d7a56f998464cfef82fdac792d2fd9dac | /homework/teamwork3.lean | 4dcd9b7708bdd0a3ff9fe166cdd77a6069529e83 | [] | no_license | williamdemeo/math2001-spring2019 | 565b70405e7b92c5f93a295d2114729786350b78 | 1b3bf3e0bf53684b064b3f96210ce1022850ebf0 | refs/heads/master | 1,587,030,510,505 | 1,558,394,100,000 | 1,558,394,100,000 | 165,477,693 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,781 | lean | import data.set
--1. Fill in the ``sorry``'s.
section
open set
variable U : Type
variables A B C : set U
example : ∀ x, x ∈ A ∩ C → x ∈ A ∪ B := sorry
example : ∀ x, x ∈ -(A ∪ B) → x ∈ -A := sorry
end
--2. Fill in the ``sorry``.
section
open set
variable {U : Type}
/- defining ... |
27eab486c742f8fa5bdf4485c9cfedc15e1c74d8 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/common/math_spec.lean | 5ab6f83bdb5be869bbc1fe7bea3b24ee9d5d1236 | [] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 46,513 | lean | /-
File: math_spec.lean
Modified version of the autogenerated file.
-/
import starkware.cairo.lean.semantics.soundness.prelude
import tactic.polyrith
import starkware.cairo.common.bool_spec
open starkware.cairo.common.bool
open_locale big_operators
namespace starkware.cairo.common.math
variables {F : Type} [field F... |
b8075482069e7a6907c7d77b835576f36e5e25d4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/expandAbbrevAtIsClass.lean | 953f432fb033c4e078bd730b29bbb634af13ceba | [
"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 | 193 | lean | def one (α : Type u) [OfNat α (nat_lit 1)] : α := 1
abbrev HasOne (α : Type u) := OfNat α (nat_lit 1)
def one' (α : Type u) [HasOne α] : α := 1
example : HasOne Nat := inferInstance
|
cd4ef91f8c319f86fedd5ecff3ac3c5e83c3f6b3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/geometry/manifold/algebra/monoid.lean | 61d68df78c70fb9d161544fd9bae659b3144367b | [] | 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 | 11,364 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.geometry.manifold.times_cont_mdiff
import Mathlib.PostPort
universes u_2 u_3 u_4 u_5 l u... |
32afe431b80fecf48ecb8593fda0e0c133757e22 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /natprimes_slim.lean | 63f44d0bf6e98266c619f3abebf03e60f5655d90 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,400 | lean | import data.nat.prime
import tactic.norm_num
import data.list.basic
open nat
open list
theorem prime_prod: ∀x:ℕ,1≤x→∃L:list ℕ,(∀p:ℕ,p ∈ L→prime p)∧prod L=x:=begin
have Hstrong:∀ y x:ℕ,x≤y→1≤x→∃L:list ℕ,(∀p:ℕ,p ∈ L→prime p)∧prod L=x:=begin
intro,induction y with y1 Hiy,
intros,rw eq_zero_of_le_zero ... |
3b3ce8605f015f1f7fef3175bdc5a2e1a6a2ffcb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/big_operators/associated.lean | 49c80173ad2680f4b02e32b87915f25cb3005e9d | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,776 | 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, Anne Baanen
-/
import algebra.associated
import algebra.big_operators.finsupp
/-!
# Products of associated, prime, and irreducible elements.
> THIS F... |
26e6dba7750ac8fab9b14220c582454d54f969da | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/homotopy/red_susp.hlean | 03b03595b64880dac66c79a74a02fd122f0e8668 | [
"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 | 2,644 | 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
Declaration of the reduced suspension
-/
import hit.two_quotient types.pointed algebra.e_closure
open simple_two_quotient eq unit pointed e_closure
namespace red... |
8f1c4752ad1053d8e57a9df1aa76caec86325b24 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/isomorphism.lean | d2adf4f6dc18923254cdb2a84eeabf6ad2d8ed42 | [] | 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 | 18,545 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.functor
import Mathlib.PostP... |
0c16cc49ad4655fd00b0a84dc6a4fa6b177ac436 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/elab15.lean | 9cda19b72e83a8552a975a98e9c880bb4b8c46b5 | [
"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 | 310 | lean | open tactic
set_option pp.notation false
universe variables u
check
λ (A : Type u) (a b c d : A) (H₁ : a = b) (H₂ : c = b) (H₃ : d = c),
have a = c, by do { transitivity, assumption, symmetry, assumption },
show a = d, by do { transitivity, this ← get_local "this", exact this, symmetry, assumption }
|
72e90fb753a72c2a6192e4b0a43170c8380b48c4 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/lint_to_additive_doc.lean | af91fa8ad2e1b6a1c47b4beac4fe6651de9cfc3f | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,746 | lean | import tactic.to_additive
import tactic.alias
/-- Test assertion helpers -/
meta def assert_ok (n : name) := do
decl ← tactic.get_decl n,
some msg ← linter.to_additive_doc.test decl | pure (),
fail! "Linting {n} complained unexpectedly:\n{msg}"
meta def assert_complain (n : name) := do
decl ← tactic.get_decl ... |
398245fde681b6a1ccdce0ea0f4e6c4672be234d | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/homotopy/join.hlean | bdc7b3cbc6ddb5f42eddc6090b8fcb5af765834b | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 22,824 | hlean | /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Ulrik Buchholtz
Declaration of a join as a special case of a pushout
-/
import hit.pushout .sphere cubical.cube
open eq function prod equiv is_trunc bool sigma.o... |
68e4f015bfb9a373d62ea35b99f5e4ed2cd0bc2c | 4727251e0cd73359b15b664c3170e5d754078599 | /src/field_theory/primitive_element.lean | 1b10e811c194c4433ecac12a9286ef800955c908 | [
"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 | 10,627 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.adjoin
import field_theory.is_alg_closed.basic
import field_theory.separable
import ring_theory.integral_domain
/-... |
fdb6b650aad5a0b3911cd817060e5074d0fa4d74 | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/skeletal.lean | 82964c6bb478905dba636e81339a04778f527512 | [
"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 | 9,620 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.isomorphism_classes
import category_theory.thin
/-!
# Skeleton of a category
Define skeletal categories as categories in which any two isomorphic... |
79bce8a8efbb495ece9f7f1eb8f3036edec3f2d5 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /library/init/meta/rb_map.lean | 8105a587c7ab901621cc2265377b70173a2dee3c | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 7,674 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
-/
prelude
import init.data.ordering init.function init.meta.name init.meta.format init.meta.expr
meta constant {u₁ u₂} rb_map : Type u₁ → Type... |
d955e44d76ffc57a65558e135beeebabd972e4bf | bf3de31b5bab2d2f45db036440db572bf35564cf | /src/lib/basic.lean | 7cf9d7af64201f3c873edc39e0dab4c2ece525db | [
"Apache-2.0"
] | permissive | ml-lab/stump-learnable | 60920c57e3238801ab97487497de026b0f843fd5 | c1156b36eb34f1a21c377d0b0644c1ea7e22686b | refs/heads/master | 1,599,132,375,763 | 1,572,478,931,000 | 1,572,478,931,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,385 | lean | /-
Copyright © 2019, Oracle and/or its affiliates. All rights reserved.
-/
import lib.probability_theory
import lib.dvector lib.to_mathlib
import measure_theory.giry_monad
import measure_theory.measure_space
import data.complex.exponential
local attribute [instance] classical.prop_decidable
universes u v
open nnre... |
f71f3f99e446e6c1e84bb446af8a4cda711dff63 | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/currying_2.lean | c817cac40faef4dd0dbb7e202c0d29a11ffcec6a | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,652 | lean | -- import category_theory.currying
-- namespace category_theory
-- universes u₁ u₂ v₂
-- variables (C : Type u₁) [small_category C] (D : Type u₁) [small_category D] (E : Type u₂) [ℰ : category.{u₂ v₂} E]
-- include ℰ
-- local attribute [back] category.id -- this is usually a bad idea, but just what we needed here
... |
9998dca1df6d094fd966259571e26cd67264f5ee | 626e312b5c1cb2d88fca108f5933076012633192 | /src/algebra/covariant_and_contravariant.lean | b07b6d2ced20904d38475aaf82dc08af1c64b36a | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,977 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import algebra.group.defs
/-!
# Covariants and contravariants
This file contains general lemmas and instances to work with the interactions between a relation and
a... |
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