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894e57346f6fb262d3c7ea260bdb124e422af595 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/contra1.hlean | 3cf9260f584032885af9d1f535d62a72ae73664a | [
"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 | 347 | hlean | open eq
example (a b : nat) (h : empty) : a = b :=
by contradiction
example : ∀ (a b : nat), empty → a = b :=
by contradiction
example : ∀ (a b : nat), 0 = 1 :> ℕ → a = b :=
by contradiction
example : ∀ (a b : nat), id empty → a = b :=
by contradiction
example : ∀ (a b : nat), id (0 = 1 :> ℕ) → a = b :=
by contrad... |
01557fb11c895320db5c50c63d35d3d408527838 | 367134ba5a65885e863bdc4507601606690974c1 | /src/linear_algebra/finite_dimensional.lean | 24763559341763ca8638be97710c5ebeacb99e5d | [
"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 | 57,434 | 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 linear_algebra.dimension
import ring_theory.principal_ideal_domain
import algebra.algebra.subalgebra
/-!
# Finite dimensional vector spaces
Definition and basic ... |
cea738302bda6e243bde8bd32c9458cb5abe4b2d | aa101d73b1a3173c7ec56de02b96baa8ca64c42e | /src/exercises/07_first_negations.lean | b6a6c88ff66c243b323fa147f89a618b5c4996e6 | [
"Apache-2.0"
] | permissive | gihanmarasingha/tutorials | b554d4d53866c493c4341dc13e914b01444e95a6 | 56617114ef0f9f7b808476faffd11e22e4380918 | refs/heads/master | 1,671,141,758,153 | 1,599,173,318,000 | 1,599,173,318,000 | 282,405,870 | 0 | 0 | Apache-2.0 | 1,595,666,751,000 | 1,595,666,750,000 | null | UTF-8 | Lean | false | false | 6,781 | lean | import tuto_lib
import data.int.parity
/-
Negations, proof by contradiction and contraposition.
This file introduces the logical rules and tactics related to negation:
exfalso, by_contradiction, contrapose, by_cases and push_neg.
There is a special statement denoted by `false` which, by definition,
has no proof.
So ... |
e7b64d3ee3dea6368f135666fbd7888bcdab4fac | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/order/order_iso_nat.lean | b7fe7887e4546c14a87991ea7df82a7edbbdb211 | [
"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 | 1,863 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.nat.basic
import order.rel_iso
import logic.function.iterate
namespace rel_embedding
variables {α : Type*} {r : α → α → Prop}
/-- If `f` is a strictly `... |
faa7fe5260ac81cc01eb8cf66a947e67949f2a78 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/tactic/tauto.lean | f1b48df4f501ff666a4c81f1650d95174499efe9 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 9,700 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.hint
namespace tactic
open expr
open tactic.interactive ( casesm constructor_matching )
/--
find all assumptions of the shape `¬ (p ∧ q)` or `¬ (p ∨ q)` ... |
e06570ecef7e2138864983fe88d161596dd344a7 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/compiler/qsortBadLt.lean | 6d28b707149b91d7dc7b826285d152b93b025b4b | [
"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 | 128 | lean | #lang lean4
def badLt (a b : Nat) : Bool :=
a != b
def main : IO Unit :=
let xs := [1, 2].toArray;
IO.println $ xs.qsort badLt
|
468098ae6b47c82e5b40aaec0d88c2fea2c51fc6 | 1901b51268d21ec7361af7d3534abd9a8fa5cf52 | /src/graph_theory/cayley.lean | f9aed19cbc3376e4e102fadf640b9edeb1a85fba | [] | no_license | vbeffara/lean | b9ea4107deeaca6f4da98e5de029b62e4861ab40 | 0004b1d502ac3f4ccd213dbd23589d4c4f9fece8 | refs/heads/main | 1,652,050,034,756 | 1,651,610,858,000 | 1,651,610,858,000 | 225,244,535 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,032 | lean | import combinatorics.simple_graph.metric
import graph_theory.path
namespace simple_graph
namespace cayley
structure genset (G : Type*) [group G] :=
(els : finset G)
(sym : ∀ {s : G}, s ∈ els → s⁻¹ ∈ els)
(gen : subgroup.closure (coe els) = (⊤ : subgroup G))
(nem : els.nonempty)
(irr : (1:G) ∉ els)
variable... |
c17cdb1016daa8093d5c4abb92aaf26e7e2acb3f | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/StructInst.lean | 1be8b4141c58b9fe3fe5c84795d63378d7f52e66 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,977 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FindExpr
import Lean.Parser.Term
import Lean.Meta.Structure
import Lean.Elab.App
import Lean.Elab.Binders
namespace Lean.Elab.Term.StructI... |
369637041696ee33f76a6b396414f54d3148a80a | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Init/Data/Format/Syntax.lean | 5f73f6fea7596c9590e051467c011c45afcbe5b4 | [
"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 | 1,784 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Format.Macro
import Init.Data.Format.Instances
import Init.Meta
namespace Lean.Syntax
open Std
open Std.Format
private def format... |
63368dd0bbe0f8760802fd5faf414efa8b9c1e0d | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Elab/AuxDef.lean | e0661c5ab795181f7483382a8b2411bf6482db85 | [
"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 | 1,392 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Lean.Elab.Command
namespace Lean.Elab.Command
open Lean.Parser.Command
open Lean.Parser.Term
/--
Declares an auxiliary definition with an automatically... |
1e673bea0e2d9a913175201152b9d6bcdb5f5df1 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/geometry/manifold/diffeomorph.lean | cead8e7582a079be1db0680a0d99cdd660f51e4e | [
"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 | 21,065 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Yury Kudryashov
-/
import geometry.manifold.cont_mdiff_map
/-!
# Diffeomorphisms
This file implements diffeomorphisms.
## Definitions
* `diffeomorph I I' M M' n`:... |
e903550cd8992d861818d2f531bd399eae52246d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/char_p/local_ring.lean | a4e109e095e5284efec305f69f8a24d89fe53681 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 2,972 | lean | /-
Copyright (c) 2022 Jon Eugster. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jon Eugster
-/
import algebra.char_p.basic
import data.nat.factorization.prime_pow
import ring_theory.ideal.local_ring
/-!
# Characteristics of local rings
## Main result
- `char_p_zer... |
c254462a66da8388e7d63986a817de52c831a0b9 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Meta/PPGoal.lean | b678a65019368168e52740662a339b1b0e9687e9 | [
"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 | 9,266 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Hygiene
import Lean.Meta.InferType
namespace Lean.Meta
def ppAuxDeclsDefault := false
builtin_initialize
registerOption `pp.auxDecls { defVal... |
2977d1a20737adea70344649c97ce224cade67ae | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/LazyInitExtension.lean | 9c70670a7ff540087b1099c79f25ad1b0ee8d81d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,329 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.MonadEnv
namespace Lean
structure LazyInitExtension (m : Type → Type) (α : Type) where
ext : EnvExtension (Option α)
fn : m α
instance [... |
3be3951d53eb65be29f0c743039ac7d620a9fc39 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/integral/fund_thm_calculus.lean | 5395634b24f97078622ae3cd8247ce663078fd64 | [
"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 | 83,335 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot, Sébastien Gouëzel
-/
import analysis.calculus.fderiv_measurable
import analysis.calculus.deriv.comp
import analysis.calculus.deriv.add
import an... |
35fab2245b9bc228e5aac66200417bf3fb34e693 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/linear_algebra/matrix/basis.lean | f4a6cf0f78d3e277d0180abb717adba56c1262d7 | [
"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 | 6,289 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import linear_algebra.matrix.reindex
import linear_algebra.matrix.to_lin
/-!
# Bases and matrices
This file defines the ma... |
b58e58c6ce5b625feee3540caa4459345ec871c0 | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/hints/thursday/afternoon/category_theory/exercise3/hint5.lean | 7adc63e9fbf48fd50403686670add7711b4ff59d | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 562 | lean | import for_mathlib.category_theory -- This imports some simp lemmas that I realised belong in mathlib while writing this exercise.
open category_theory
variables {C : Type*} [category C]
variables {D : Type*} [category D]
lemma equiv_reflects_mono {X Y : C} (f : X ⟶ Y) (e : C ≌ D)
(hef : mono (e.functor.map f)) : ... |
503222c68c20a78b499be1b1d7937edd66e22e7b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/normed_space/star/exponential.lean | 1cd4c9045f96ba8e796d3012ec1d181a57c1f2d1 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,344 | lean | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import analysis.normed_space.exponential
/-! # The exponential map from selfadjoint to unitary
In this file, we establish various propreties related to the map `λ a, e... |
84f5f13dbf975c3bf5d0c260d9d1afeda1ec86ca | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/simplifier4.lean | 9f125b89d9115a8b5c02f4cf8683954e08c5fc89 | [
"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 | 642 | lean | /- Basic rewriting with a custom relation without congruence or conditionals -/
import logic.connectives data.nat
universe l
constant T : Type.{l}
constants (x y z : T) (f g h : T → T)
constants (R : T → T → Prop)
constants (R_refl : ∀ x, R x x) (R_sym : ∀ x y, R x y → R y x) (R_trans : ∀ x y z, R x y → R y z → R x z... |
80cae07b823fd9bb2f1682d55217bbeb4a54108f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/nat/bitwise.lean | 71488ae19e2d0ee4107281a38f87b39adfc848ac | [
"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 | 8,569 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import tactic.linarith
/-!
# Bitwise operations on natural numbers
In the first half of this file, we provide theorems for reasoning about natural numbers from their
... |
218b2d971d818bd8be378afa353bc7bd1f57351c | 80d0f8071ea62262937ab36f5887a61735adea09 | /src/certigrad/predicates.lean | 2eec1c9fc57803dfb00e765ef643ba5b0a51d00a | [
"Apache-2.0"
] | permissive | wudcscheme/certigrad | 94805fa6a61f993c69a824429a103c9613a65a48 | c9a06e93f1ec58196d6d3b8563b29868d916727f | refs/heads/master | 1,679,386,475,077 | 1,551,651,022,000 | 1,551,651,022,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,137 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
Predicates.
-/
import .util .id .reference .graph .compute_grad
open list
namespace certigrad
def is_downstream (cost : ID) : reference → list node → Prop
| _ [] := fa... |
493f3e37418ed9dd133e9b75d475c2709dbb4e16 | bde6690019e9da475b0c91d5a066e0f6681a1179 | /library/standard/list.lean | dac06c7a4bc6abcb4d958ecd3baa6a7af3b17a1e | [
"Apache-2.0"
] | permissive | leodemoura/libraries | ae67d491abc580407aa837d65736d515bec39263 | 14afd47544daa9520ea382d33ba7f6f05c949063 | refs/heads/master | 1,473,601,302,073 | 1,403,713,370,000 | 1,403,713,370,000 | 19,831,525 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,572 | lean | ----------------------------------------------------------------------------------------------------
--- Copyright (c) 2014 Parikshit Khanna. All rights reserved.
--- Released under Apache 2.0 license as described in the file LICENSE.
--- Author: Parikshit Khanna, Jeremy Avigad
-----------------------------------------... |
cc406c6c4c0b32a5ff5699ff466d3605c7236e0e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/witt_vector/basic.lean | 8165b12e66ce48c202431c4df32d19100d5b69e3 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 9,173 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.mv_polynomial.counit
import data.mv_polynomial.invertible
import ring_theory.witt_vector.defs
/-!
# Witt vectors
This file verifies th... |
40603577d0e86a341906897fb17cd6258e4a4602 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/algebra/monoid.lean | ac19546f6a4877bdf11a4caf1e3c231c17f65ca1 | [
"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 | 17,087 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.continuous_on
import group_theory.submonoid.operations
import algebra.group.prod
import algebra.pointwise
import algebra.big_operators... |
437fac8615b628afc6a53579f0429a4686a241ea | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/array1.lean | d62709930111c61cffb6fd7b1beee090ec79348f | [
"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 | 805 | lean | #check @Array.mk
def v : Array Nat := @Array.mk Nat 10 (fun ⟨i, _⟩ => i)
def w : Array Nat :=
(mkArray 9 1).push 3
def f : Fin w.sz → Nat :=
Array.casesOn w (fun _ f => f)
def arraySum (a : Array Nat) : Nat :=
a.foldl Nat.add 0
#eval mkArray 4 1
#eval Array.map (fun x => x+10) v
#eval f ⟨1, sorry⟩
#eval f ⟨9, sorr... |
80335cb404656c70acecb117f4dd8bd56821952b | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/W.lean | e37a352c374a2adb2fe746d6f8edf64544708566 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 3,994 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import data.equiv.encodable data.equiv.list data.fin data.finset data.fintype
/-!
# W types
Given `α : Type` and `β : α → Type`, the W type determined by this data, `... |
1fe6a09884f8df423ca975d9ccc7040be8607958 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/list/basic.lean | 923d979f8048c1c6494e00f56795f0bff55eabcb | [
"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 | 174,475 | 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 algebra.order_functions
import control.monad.basic
import data.nat.choose.basic
import ... |
37ea4aa025dc477ced300d1fdd352a31c3d3165e | 618003631150032a5676f229d13a079ac875ff77 | /src/data/quot.lean | eb7696f21f05be272df8108657ae63b2a5407c4c | [
"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 | 11,924 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Quotients -- extends the core library
-/
import logic.relator
variables {α : Sort*} {β : Sort*}
namespace setoid
lemma ext {α : Sort*} :
∀{s t : setoid α}, (∀a b, ... |
2653b8e75e768462eb35eff051dfe4a645b80ce9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/number_theory/bernoulli.lean | 6ed005f9b0d2c724b2f4885225c5d050ab001a65 | [] | 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 | 3,781 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kevin Buzzard
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.rat.default
import Mathlib.data.fintype.card
import Mathlib.PostPort
n... |
fd70f95249ba0c9d7f4c66f564e6cae1d644d0f9 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/algebra/affine.lean | 3f352435e79ac736a711dc89c8fd28745a984793 | [
"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 | 2,143 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import topology.continuous_function.algebra
import linear_algebra.affine_space.affine_map
/-!
# Topological properties of affine spaces and maps
For now, this con... |
ed4884b8d67dff6f800f059a02d9ce233268fe20 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Assignment2/homework.lean | a82f5964960a962b829e9ccfdec295aa27328503 | [] | no_license | enlauren/math-logic | 081e2e737c8afb28dbb337968df95ead47321ba0 | 086b6935543d1841f1db92d0e49add1124054c37 | refs/heads/master | 1,594,506,621,950 | 1,558,634,976,000 | 1,558,634,976,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,901 | lean | -- Assignment 2
-- Dom Farolino, farolidm@mail.uc.edu
-- Math Logic
-- At the time of writing, all of these are correct, and give no erroneous
-- output in Lean, except the final proof, which indicates a sorry is used,
-- because I have not completed it yet.
variables A B C D : Prop
section
example: A ∧ (A → B) → B... |
5ab53090936dbcb61521484689719ad0824ab62f | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Init/Data/List/Control.lean | 2c47270291530931ec612910b9c58fce3a4f39e4 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 7,637 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Control.Basic
import Init.Data.List.Basic
namespace List
universe u v w u₁ u₂
/-!
Remark: we can define `mapM`, `mapM₂` and `forM` usin... |
e5f089efde95a52d3381ddc08254d2fb1af44b0d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/uniform_space/separation.lean | 627f8a10718c7eb57d7f3dfe0b944f916f5f2816 | [
"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 | 20,314 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot
-/
import tactic.apply_fun
import data.set.pairwise
import topology.uniform_space.basic
import topology.separation
/-!
# Hausdorff properties of unifor... |
800ec3e65961def44bdec8d1bb4c0639b5ed05fd | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/matrix/charpoly/linear_map.lean | ca434773697f6ae114ec63ab4b1ba4b8ae6de3ae | [
"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 | 10,200 | 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 linear_algebra.matrix.charpoly.coeff
import linear_algebra.matrix.to_lin
/-!
# Calyley-Hamilton theorem for f.g. modules.
Given a fixed finite spanning set `b : ι... |
403f9d398e5ae0745648abbe5ea5529399973d45 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/ring_theory/algebra_operations.lean | 47b138f8682fe2fd9789540d602f1c7d8b1d1613 | [
"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 | 9,142 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Multiplication and division of submodules of an algebra.
-/
import ring_theory.algebra algebra.pointwise
import tactic.chain
import tactic.monotonicity.basic
universes u v
ope... |
e7db2e34c5450c8d6e645f3030133379ad645c46 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/data/complex/module.lean | fdd31fc799378960453e0e7c521255b06c27c137 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 5,316 | lean | /-
Copyright (c) 2020 Alexander Bentkamp, Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Sébastien Gouëzel
-/
import data.complex.basic
import algebra.algebra.ordered
import data.matrix.notation
import field_theory.tower
import li... |
a3956e58baa0f68a373c4174f53dc3c868962ba4 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Elab/LetRec.lean | 68bee7742328a6ddfc87d8b14430447756d734a8 | [
"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 | 4,906 | 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.Elab.Attributes
import Lean.Elab.Binders
import Lean.Elab.DeclModifiers
import Lean.Elab.SyntheticMVars
import Lean.Elab.DeclarationRange
names... |
533fcee013b86f07a9c2c65a8481fe73b7c970bb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/quot_auto.lean | 3c0ba31323653c0f0675b7ef5efa5281a370b049 | [] | 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 | 24,411 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.logic.relator
import Mathlib.PostPort
universes u_1 u_2 u_3 u_4 u
namespace Mathlib
/-!... |
1573f216405b82fa78de6d7742f5312e70668b1f | 9b0cdc31ceef59f5fbd4e20acad77a7a59044088 | /src/exercises/02_iff_if_and.lean | a93cf4d544c171b8a994234df49c75403e6dcbd8 | [
"Apache-2.0"
] | permissive | andrewparr/tutorials | 964ebb8b4eae2b658a946843f8f9fc5c69b79761 | 0fd6cefe7e62f0d4bfa12ebd115913f8ef4fbd62 | refs/heads/master | 1,687,573,595,883 | 1,626,653,659,000 | 1,626,653,659,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,760 | lean | import data.real.basic
/-
In the previous file, we saw how to rewrite using equalities.
The analogue operation with mathematical statements is rewriting using
equivalences. This is also done using the `rw` tactic.
Lean uses ↔ to denote equivalence instead of ⇔.
In the following exercises we will use the lemma:
su... |
312525a645641f154a857da07b0fd9c57452164c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/deps/foo/Foo/Bar.lean | be6fe41c2e6912d7d9b1414365795198ef909744 | [
"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 | 33 | lean | import Foo.Foo
def bar := "bar"
|
3ab3728c304b9d845e0c87fbe5fc3fc16ff9a13d | 976d2334b51721ddc405deb2e1754016d454286e | /src/game_files/mwe.lean | 008d2a8025fcce89f2da3d3db47cdcdfa7e5a2cf | [] | no_license | kbuzzard/lean-at-MC2020 | 11bb6ac9ec38a6caace9d5d9a1705d6794d9f477 | 1f7ca65a7ba5cc17eb49f525c02dc6b0e65d6543 | refs/heads/master | 1,668,496,422,317 | 1,594,131,838,000 | 1,594,131,838,000 | 277,877,735 | 0 | 0 | null | 1,594,142,006,000 | 1,594,142,005,000 | null | UTF-8 | Lean | false | false | 8 | lean | mwe.lean |
1a35347f76f569891f7c931975d4e749f863281d | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/FunctorStructure.lean | 7d2078244a0f45038bcd5198ac0092edbf0d2391 | [
"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 | 6,000 | lean | -- An abstract formalization of "isomorphism is equality up to relabeling"
-- -------------------------------------------------------------------------
--
-- See `README.md` for more info.
--
-- Definitions related to `functorStructure`.
import Structure.Basic
import Structure.UniverseFunctor
import Structure.Produ... |
113d60c42051f0fa4238b49a40ed719d53ce080f | a8c03ed21a1bd6fc45901943b79dd6574ea3f0c2 | /cdcl_solver.lean | 17b7fcf9e6e183c8786fb007c3965c1fa6fe291f | [] | no_license | gebner/resolution.lean | 716c355fbb5204e5c4d0c5a7f3f3cc825892a2bf | c6fafe06fba1cfad73db68f2aa474b29fe892a2b | refs/heads/master | 1,601,111,444,528 | 1,475,256,701,000 | 1,475,256,701,000 | 67,711,151 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,012 | lean | import clause
open tactic expr monad
namespace cdcl
@[reducible] meta def prop_var := expr
@[reducible] meta def proof_term := expr
@[reducible] meta def proof_hyp := expr
meta inductive trail_elem
| dec : prop_var → bool → proof_hyp → trail_elem
| propg : prop_var → bool → proof_term → proof_hyp → trail_elem
| dbl_... |
0033b72deaaf79c30f6aa5a160a13226a2e4e83f | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/for_mathlib/list.lean | 895cf0a5e9451ab38e8da46739a0ce54a5785905 | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 3,043 | lean | import data.list.range
import data.list.indexes
namespace list
lemma sum_ext_le {α : Type*} [ordered_add_comm_monoid α] {l l' : list α}
(hl : l.length = l'.length)
(h : ∀ {i} (hle), l.nth_le i hle ≤ l'.nth_le i (hl ▸ hle)) :
l.sum ≤ l'.sum :=
begin
induction l with hd tl IH generalizing l',
{ have : l' = ni... |
85f946427470c360a426c25a6ae64324f8a976bb | 761d983a78bc025071bac14a3facced881cf5e53 | /new_affine/list_as_k_tuple.lean | 6b74e9348333ee258b27e458efae61398ba764b8 | [] | no_license | rohanrajnair/affine_lib | bcf22ff892cf74ccb36a95bc9b7fff8e0adb2d0d | 83076864245ac547b9d615bc6a23804b1b4a8f70 | refs/heads/master | 1,673,320,928,343 | 1,603,036,653,000 | 1,603,036,653,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,574 | lean | import algebra.ring tactic.ext
/-!
This file includes definitions and theorems about lists as vectors. These are necessary to instantiate
specific instances of vector spaces (e.g. coordinate spaces over fields, Minkowski space, etc)
-/
universes u v
variables {k : Type u} [ring k] [inhabited k] {α : Type v} [has_... |
63c20823211574c7f74dab86bab9bff2b88aabe1 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/973b.lean | c2887d94ce7979bc8969487686f64edb08cbcf34 | [
"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 | 305 | lean | opaque f : Nat → Nat
opaque q : Nat → (Nat → Prop) → Nat
@[simp]
theorem ex {x : Nat} {p : Nat → Prop} (h₁ : p x) (h₂ : q x p = x) : f x = x :=
sorry
set_option trace.Meta.Tactic.simp.discharge true
theorem foo : f (f x) = x := by
simp (config := { failIfUnchanged := false })
sorry
|
b876f8eb1401c4666e32738a7bfdc9843113919a | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/multiset.lean | cb10d690e0958a2218a6a7400517bc31de6a702b | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 134,743 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Multisets.
-/
import data.list.sort
import data.list.intervals
import data.list.antidiagonal
import data.string.basic
import algebra.group_power
import algebra.or... |
b5a2dd34cb4c4c6700a919304f3b4112e51dbd82 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/lexicographic.lean | f69657dc8d210b931cdc23885c0e3bbc470ec0dc | [
"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 | 8,143 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison, Minchao Wu
Lexicographic preorder / partial_order / linear_order / linear_order,
for pairs and dependent pairs.
-/
import tactic.basic
universes u v
/-- The cartesian... |
7a753950360efa0df4d9bd634f56496c5ca2112c | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/real/cardinality.lean | bc8e478aee486c446eca0a591cdcb048f50742a8 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 9,609 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import analysis.specific_limits.basic
import data.rat.denumerable
import data.set.intervals.image_preimage
import set_theory.cardinal.continuum
/-!
# The cardina... |
d25ac3d2dc34cece53f22850402c6b75e7753e05 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/monad/equiv_mon.lean | 5c561020f1fd9a4bf58a81b927ccccafaa7d33e0 | [
"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 | 3,281 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.monad.bundled
import category_theory.monoidal.End
import category_theory.monoidal.Mon_
import category_theory.category.Cat
/-!
# The equivalence betw... |
4cf75d5fa872fb13c266a03dc4c319d778e43a3a | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/scc.lean | 9c1240bca61a697b0bb8adffab8f63c511a0103c | [
"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 | 778 | lean | import Lean.Util.SCC
new_frontend
open Lean.SCC
def checkSCC (expected : List (List Nat)) (vertices : List Nat) (successorsOf : Nat → List Nat) : IO Unit := do
let r := scc vertices successorsOf
IO.println r
«unless» (expected == r) $
throw $ IO.userError ("expected result " ++ toString expected)
#eval checkSCC [[2... |
c5d0889aa6d9dd7efb6458a84290025c07509a62 | 0ec6b5eb2131429a4464b8e6c6f09897abba3de1 | /src/monoid_ring.lean | 61283908cdb4642038401a42acc49d604ff7e74b | [] | no_license | kckennylau/local-langlands-abelian | ba1b86e9d956778cd28ac900ffec02b0f0ba172a | ee22666898357dab800a0432214a22c519ed26a9 | refs/heads/master | 1,584,671,060,846 | 1,545,151,246,000 | 1,545,151,246,000 | 137,111,892 | 8 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,577 | lean | import data.finsupp data.equiv.basic
import .algebra
universes u v w
class is_add_monoid_monoid_hom {α : Type u} {β : Type v}
[add_monoid α] [monoid β] (f : α → β) : Prop :=
(add : ∀ a b : α, f (a + b) = f a * f b)
(zero : f 0 = 1)
def add_monoid_monoid_hom (α : Type u) (β : Type v)
[add_monoid α] [mo... |
d43d01f81e70b9500acac47ee7e1671bd10c8aaf | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/626a.lean | 2791ce8d7f37d8e82de37e07a89299339fef2fb8 | [
"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 | 191 | lean | namespace foo
definition C₁ := nat
definition foo (c : C₁) := nat.rec_on c _ _
end foo
namespace boo
notation `C₁` := nat
definition foo (c : C₁) := nat.rec_on c _ _
end boo
|
00fde5f3961f748e79db5fb1ecd0551c2450425f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/ExternAttr.lean | cc563ba458353f6f9378fa0ab2cf0b765fb2a305 | [
"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 | 6,151 | 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.Expr
import Lean.Environment
import Lean.Attributes
import Lean.ProjFns
import Lean.Meta.Basic
namespace Lean
inductive ExternEntry where
| ... |
a065f919fed1e7d65a6a086a6bbaa3fff6868adb | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/perfectoid_space.lean | 860753c4b23031dc47a3279f2cb1461f37424350 | [
"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 | 2,170 | lean | -- We import definitions of adic_space, Huber_pair, etc
import Frobenius
import adic_space
import Tate_ring
import power_bounded
/-!
# Perfectoid Spaces
Definitions in this file follow Scholze's paper: Étale cohomology of diamonds,
specifically Definition 3.1 and 3.19
For more information on how to read this file, s... |
f363f8eb9a7e5d49586eb64f7aa0b4c1ba44b9d2 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/deps/x86_semantics/src/X86Semantics/Evaluator.lean | db2c6878bd71f31e413106ee5aa6859127098378 | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 34,987 | lean | -- Evaluates actions in an environment.
import Galois.Data.Bitvec
import X86Semantics.Common
import X86Semantics.BackendAPI
-- import .sexpr
axiom I_am_really_sorry : ∀(P : Prop), P
-- FIXME: move
def annotate {ε} {m} [Monad m] [MonadExcept ε m]
{a} (f : ε -> ε) (c : m a) : m a := catch c (fun e => throw (f e))
... |
d2bb1be0098f8847c871f8fa5fa91661eef30b95 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/dual.lean | fc9421636e75a502a8bdd63c079f32b0e67cc532 | [
"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 | 52,875 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Fabian Glöckle, Kyle Miller
-/
import linear_algebra.finite_dimensional
import linear_algebra.projection
import linear_algebra.sesquilinear_form
import ring_theory.fini... |
57059a5e842836036d652158ace046065923080d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/FloatArray.lean | 7c798deaa3e29f34737d1c2e5fb35e8d0e375e21 | [
"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 | 205 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.FloatArray.Basic
|
7cfcee00aa1bcb119c3ccc9dc2ea5572aa411af8 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/punit.lean | 06d77ec54c688440583e122eee66af0ea15d65f2 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 1,165 | 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.const
universes v w u -- declare the `v`'s first; see `category_theory.category` for an explanation
namespace category_theory
instance p... |
f28c9f22c92a8fe85e4035d5b47b508aa5d928e5 | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/utilities/language_operations.lean | d177195dd7594acfe6bcb00759648bef3438a896 | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 349 | lean | import computability.language
variables {T : Type}
def reverse_lang (L : language T) : language T :=
λ w : list T, w.reverse ∈ L
def bijemap_lang {T' : Type} (L : language T) (π : equiv T T') : language T' :=
λ w : list T', list.map π.inv_fun w ∈ L
def permute_lang (L : language T) (π : equiv.perm T) : language T :... |
8810753d552d90f21192f4a5f838f7281dcd8431 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_lean_summary/unnamed_524.lean | 605e5f9be70f2ca4d6a690909b39b285bc93aede | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 75 | lean | variables p : Prop
-- BEGIN
example (h : false) : p :=
false.elim h
-- END |
d74c1418a5a4c2e8e7dce0a045c268978f608eb4 | 92b50235facfbc08dfe7f334827d47281471333b | /library/init/num.lean | ca83897be389d9ac128f4d8339ce3e74d107e660 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 3,280 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic init.bool
open bool
definition pos_num.is_inhabited [instance] : inhabited pos_num :=
inhabited.mk pos_num.one
namespace pos_nu... |
a3cccb75d6517eac093bbe21a79513d31f6d3b4c | bb31430994044506fa42fd667e2d556327e18dfe | /src/ring_theory/power_series/basic.lean | 5752dc54e58b4b5d1d5af96f2b97bb7b0940583a | [
"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 | 76,711 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau
-/
import data.finsupp.interval
import data.mv_polynomial.basic
import data.polynomial.algebra_map
import data.polynomial.coeff
import linear_algebra.std_basi... |
38e1e9d4502862ea813787b5b492993c0310c89b | fffbc47930dc6615e66ece42324ce57a21d5b64b | /src/tactic/tidy.lean | ffd7f0ad5bebf5b6bc718d8e27e96c27dd424d8e | [
"Apache-2.0"
] | permissive | skbaek/mathlib | 3caae8ae413c66862293a95fd2fbada3647b1228 | f25340175631cdc85ad768a262433f968d0d6450 | refs/heads/master | 1,588,130,123,636 | 1,558,287,609,000 | 1,558,287,609,000 | 160,935,713 | 0 | 0 | Apache-2.0 | 1,544,271,146,000 | 1,544,271,146,000 | null | UTF-8 | Lean | false | false | 3,112 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import tactic.ext
import tactic.auto_cases
import tactic.chain
import tactic.solve_by_elim
import tactic.interactive
namespace tactic
namespace tidy
meta def ti... |
a5457a5e489f903a9f9663a2569ba670371c6ec6 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Elab/MutualDef.lean | 3ad701f86b704b6da4fcab6966b818f8f961f4cd | [
"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 | 29,026 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Parser.Term
import Lean.Meta.Closure
import Lean.Meta.Check
import Lean.Elab.Command
import Lean.Elab.DefView
import Lean.Elab.PreDefinition
imp... |
9f3c28d92edfb37865bdde31b0f5e84787a6d597 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/nat/bquant.lean | 28f6dd7e51c2fccae870e7988c5dcfb3a9690acd | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,383 | lean | import data.nat.sub
open nat
def ball (n : nat) (P : nat → Prop) := ∀ k : ℕ, k < n → P k
def ball' (n : nat) (P : Π (k : ℕ) (p : k < n), Prop) := Π (k : ℕ) (p : k < n), P k p
theorem ball_zero (P : nat → Prop) : ball 0 P :=
λ x Hlt, absurd Hlt (not_lt_zero _)
theorem ball_zero' (P : Π (k : ℕ) (p : k < 0), ... |
0e7797b94bc7712de5f671036d384c9f7906aec6 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category/traversable/instances.lean | 9d7e270f1acaee539e556217cf8fb4c69c28efdd | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 5,566 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Instances of `traversable` for types from the core library
-/
import category.traversable.basic category.basic category.functor category.applicative
import data.list.forall2 ... |
17b790a34d95cf1558c07b34d643e361c7d75eda | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/coset.lean | 40d9ad2044c947628183c2d5ae039f9a8cdc47f3 | [
"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 | 14,286 | lean | /-
Copyright (c) 2018 Mitchell Rowett. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mitchell Rowett, Scott Morrison
-/
import group_theory.subgroup
/-!
# Cosets
This file develops the basic theory of left and right cosets.
## Main definitions
* `left_coset a s`:... |
e832ebd5360bad250c57845718a754aeb128d781 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/topology/algebra/ordered.lean | acf3f22540f9374ac352d14d3ad45be044a705cb | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 78,906 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import tactic.tfae
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
/-! # Theory of topology on or... |
0fda69137a8cd22955df58b460753cc52c9595a5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/set/list.lean | afca35ed9df53188f3ec54e7d1b7dee989525433 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,653 | lean | /-
Copyright (c) 2023 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import data.set.image
import data.list.basic
import data.fin.basic
/-!
# Lemmas about `list`s and `set.range`
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any cha... |
6a9fd64ce68b0bf6e8a242eec185b43d705859bc | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/IdempotentMagma.lean | 4f9cbc264e78364cc58e098feb8f035be1e28d55 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,054 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section IdempotentMagma
structure IdempotentMagma (A : Type) : Type :=
(op : (A → (A → A)))
(idempotent_op : (∀ {x : A} , (op x x) = x))
open IdempotentMagma
st... |
0a921e3d98ada852069df6889f02afed5d931fb7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/iff_rw.lean | 67453f86362a4f17fd02d98a25fb56c98fcbb39a | [
"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 | 253 | lean | import logic
example (a b : Prop) : a ∧ b → b ∧ a :=
begin
intros, rewrite and.comm, assumption
end
example (a b c : Prop) : a ∧ b ∧ c → b ∧ a ∧ c :=
begin
intros, rewrite [-and.assoc, {b ∧ a}and.comm, and.assoc], assumption
end
|
8aa9b218011f2fa61ef704f37515f71b9702f6a0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/dynamics/circle/rotation_number/translation_number.lean | 5d8eef177956d22c66cecf59f6f804547e3e2eb8 | [] | 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 | 34,850 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.specific_limits
import Mathlib.order.iterate
import Mathlib.order.semiconj_... |
de8fbdc08bf57ac2d9dbf84c3956958fc1d3c83e | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/topology/subset_properties.lean | 2aca606a2ba2714b53f1735800bdd3a370f67b23 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 62,581 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Yury Kudryashov
-/
import topology.bases
import data.finset.order
import data.set.accumulate
/-!
# Properties of subsets of topological spaces
In this... |
c7ffec4caff337869c186001dbe31540276a8ffa | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Init/NotationExtra.lean | 27c2fbedcf40cbc6e143d23028cbe5f747e47c53 | [
"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 | 8,320 | 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
Extra notation that depends on Init/Meta
-/
prelude
import Init.Meta
import Init.Data.Array.Subarray
import Init.Data.ToString
namespace Lean
macro "Macro.tr... |
a5b0bac509a0c96cd7936f5b01556c8cb697ccd8 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Elab/StructInst.lean | b05a6480790380447d5561ea24416660509fd45e | [
"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 | 34,005 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FindExpr
import Lean.Parser.Term
import Lean.Elab.App
import Lean.Elab.Binders
namespace Lean.Elab.Term.StructInst
open Std (HashMap)
ope... |
3158f0aa300bfb8df18d6efd136322a192df27d2 | 3c693e12637d1cf47effc09ab5e21700d1278e73 | /src/group/basic.lean | f4b33126c10ed828c9df715319aadb6f5e04d59b | [] | no_license | ImperialCollegeLondon/Example-Lean-Projects | e731664ae046980921a69ccfeb2286674080c5bb | 87b27ba616eaf03f3642000829a481a1932dd08e | refs/heads/master | 1,685,399,670,721 | 1,623,092,696,000 | 1,623,092,696,000 | 275,571,570 | 19 | 1 | null | 1,593,361,524,000 | 1,593,344,124,000 | Lean | UTF-8 | Lean | false | false | 10,898 | lean | import tactic
/-
Making group theory in a theorem prover
-/
namespace mygroup
-- A group needs multiplication, inverse, identity
class group (G : Type) extends has_mul G, has_inv G, has_one G :=
-- axioms go here
(mul_assoc : ∀ (a b c : G), (a * b) * c = a * (b * c))
(one_mul : ∀ (a : G), 1 * a = a)
(mul_left_inv : ... |
25fb0414b58d2a749a799647ffc7c2f8e3561fa8 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/group/to_additive.lean | b20d2f624ef28a88a9a4ffeaa37e8d4f89d5f65e | [
"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 | 13,545 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury Kudryashov
-/
import tactic.transform_decl
import tactic.algebra
/-!
# Transport multiplicative to additive
This file defines an attribute `to_additive` that can... |
c067ea8b4531776ca63600ed25d8548fe2885760 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/lie/subalgebra.lean | 9d279073a5138577bca164602650f1d1bdce76f1 | [
"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 | 21,177 | 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.basic
import ring_theory.noetherian
/-!
# Lie subalgebras
This file defines Lie subalgebras of a Lie algebra and provides basic related definitions and... |
ddefdfe0a9cd810bd2d736e3518fe96d11d740a8 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/fin.lean | 5b9eeb2aa23452904938fb5fe69377ab3eea31c7 | [
"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 | 29,846 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import data.nat.cast
/-!
# The finite type with `n` elements
`fin n` is the type whose elements are natural numbers smaller than `n`.
This file expand... |
f27bcc803e368072be974380f1e142114585e07f | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/amc12-2000-p12.lean | 4ca8ec947010d5900ed0323604de24e562ccafba | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 269 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.real.basic
example (a m c : ℕ) (h₀ : a + m + c = 12) : a*m*c + a*m + m*c + a*c ≤ 112 :=
begin
sorry
end
|
a77ba25e3c6c13e2b713a1915f8f69b639ca677e | b815abf92ce063fe0d1fabf5b42da483552aa3e8 | /tmp/debugger_example.lean | 12c5d17e4bb9415130eb773b535716ebfeaa3b06 | [
"Apache-2.0"
] | permissive | yodalee/lean | a368d842df12c63e9f79414ed7bbee805b9001ef | 317989bf9ef6ae1dec7488c2363dbfcdc16e0756 | refs/heads/master | 1,610,551,176,860 | 1,481,430,138,000 | 1,481,646,441,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 229 | lean | import debugger
set_option debugger true
set_option debugger.autorun true
open tactic
local attribute [breakpoint] tactic.constructor
example (p q : Prop) : p → q → p ∧ q :=
by do intros, constructor, repeat assumption
|
563211b51605ce9228e35168af83b4e9e31b12ce | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/doNotation1.lean | 41228deb6da57b69eaea084dc9567e7c018f5087 | [
"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 | 3,087 | lean | open Lean
def f : IO Nat :=
pure 0
def g (x : Nat) : IO Nat :=
pure (x + 1)
def g1 {α : Type} (x : α) : IO (α × α) :=
pure (x, x)
def g2 (p : Nat × Nat) : Nat :=
p.1
-- set_option trace.Elab.definition true
def h (x : Nat) : StateT Nat IO Nat := do
let s ← get
let a ← f -- liftM inserted here
let b ← g1 1 ... |
1e631670ee581a11cd986d86139a0912f919b8bf | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/order/positive/field.lean | ea8e3f6f66f010535dbfd310091ce88848ff97bd | [
"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 | 1,035 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import algebra.order.field
import algebra.order.positive.ring
/-!
# Algebraic structures on the set of positive numbers
In this file we prove that the set of posi... |
74eec97270a2898bb0608467f7d21266c01b3a24 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/matrix/charpoly/basic.lean | 507bca480ddb1690efd99083bdff911a215e0b0c | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,327 | 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 tactic.apply_fun
import ring_theory.matrix_algebra
import ring_theory.polynomial_algebra
import linear_algebra.matrix.nonsingular_inverse
import linear_algebra... |
c5ca22aaaabf9d400f25a8280d09bba9a2f666d1 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Elab/Tactic/Induction.lean | 6c8763ac78177110d911d4afeb21ab8da5cdc671 | [
"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 | 13,562 | 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.RecursorInfo
import Lean.Meta.CollectMVars
import Lean.Meta.Tactic.Induction
import Lean.Meta.Tactic.Cases
import Lean.E... |
255b59d4ad610555f6defc13dde3ad2b5089d741 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/group/basic.lean | e4d064f28f2aadc0ec00ba0dd8919ffe0ea0d030 | [
"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 | 24,230 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Simon Hudon, Mario Carneiro
-/
import algebra.group.defs
/-!
# Basic lemmas about semigroups, monoids, and groups
> THIS FILE IS SYNCHRONIZED WITH M... |
b9e60a5d56cac9ea8ae2071fca64e018674ddebf | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/witt_vector/structure_polynomial.lean | d94292f8dc0dee439a1df8766cc3d7971010109a | [
"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 | 18,577 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.fin.vec_notation
import field_theory.finite.polynomial
import number_theory.basic
import ring_theory.witt_vector.witt_polynomial
/-!
# ... |
acfa5737067c71cbcc55891e98332120d7decc00 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/closed/functor_category.lean | 079a52c0f2982e909b6fb99c70fd14dab226d506 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,678 | lean | /-
Copyright (c) 2022 Antoine Labelle. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Labelle
-/
import category_theory.closed.monoidal
import category_theory.monoidal.functor_category
/-!
# Functors from a groupoid into a monoidal closed category form a monoi... |
588ffb1c54732189fa819fdec8612ce1ef923f61 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/order/complete_boolean_algebra.lean | be5ec68044087fb44e6d76f39a32b2a2d24a3890 | [
"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 | 4,383 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of complete Boolean algebras.
-/
import order.complete_lattice
set_option old_structure_cmd true
universes u v w
variables {α : Type u} {β : Type v} {ι : Sort ... |
e3bfe9ad8b8834de9d5aecbb36a7aaa834dbc8ad | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20150320_CMU/no_confusion.lean | 97086992b2b29c92d32c9b41ef077d43cb790527 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 584 | lean | definition no_confusion_type (P : Type) (a b : nat) : Type :=
nat.cases_on a
(nat.cases_on b
(P → P)
(λ b₁, P))
(λa₁, nat.cases_on b
P
(λb₁, (a₁ = b₁ → P) → P))
definition no_confusion {P : Type} {a b : nat} (H : a = b) : no_confusion_type P a b :=
have aux : (∀h : a = a, no_confusion_type P a a), ... |
07dda5db68a2e2ba0cfbc64846fa57b883784a5c | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/elabissues/invalid_field_notation_error_msg.lean | ca83821d813f25a90606c9b90b6e17afac495334 | [
"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 | 1,126 | lean | /-
This is an annoyingly unhelpful error message that I see frequently.
It reports the prefix of the field notation, but not the field that we are trying to access.
An exact line number would help, but even so it would be great to report the field as well.
[Leo]: the bad line number is due to the transition from Lean3... |
deeac356c3fc41b4423fad5898f4012d7b343816 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/constructions/indiscrete.hlean | 4d1bcdbcad7735473b05535ebf3ee5871ce6fbca | [
"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 | 814 | 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
Indiscrete category
-/
import .opposite
open functor is_trunc unit eq
namespace category
variable (X : Type)
definition indiscrete_precategory [constructo... |
7b13fd97f429abb0a20eafb71741c2b4cd8ef30c | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/ind_cnst_params.lean | 73c691ee7c5f468796377eebb68bb13ee76b5d19 | [
"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 | 272 | lean | inductive foo
| mk (a : nat) (b : nat) : bool → foo
print foo.mk
check foo.mk 0 0 tt
universe variables u
inductive List (α : Type u)
| nil {} (a : nat) : List
| cons (hd : α) (tail : List) : List
check List.cons "a" (List.nil 1)
check List.cons "a" (List.nil 2)
|
34054adc174488b92b25ad75fe88349f912f7dfc | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/category/basic.lean | dce140c3e53cb4969c45cab9842348c08d524ef8 | [
"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 | 10,502 | 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, Johannes Hölzl, Reid Barton
-/
import combinatorics.quiver.basic
import tactic.basic
/-!
# Categories
Defines a category, as a type class parametrised... |
0ffd2528ed15676e8f9e7a80b7e7f8b47e539703 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/measure_theory/probability_mass_function.lean | 5896563bce8bdcd5b07664c83aea62e70c389235 | [
"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 | 4,785 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Probability mass function -- discrete probability measures
-/
import topology.instances.nnreal topology.instances.ennreal topology.algebra.infinite_sum
noncomputable the... |
a5adeab3a991b9cd46400c054c9e1f08e93c772a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/inline_issue.lean | c7df4bff473f8e409af8de2e1ecd87d69b28fefb | [
"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 | 369 | lean | open tactic
meta def f (n : nat) : tactic unit :=
trace "hello" >>
trace "------------" >>
trace_call_stack
meta def g (n : nat) : tactic unit :=
trace "world" >> f n
run_cmd (do
x ← return 5,
x ← return 5,
x ← return 5,
x ← return 5,
x ← return 5,
x ← return 5,
x ← return 5,
x ← return 5,
x ← retu... |
bfcdfc6cda594af7f0e825490989066595946d37 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/special_functions/trigonometric/deriv.lean | 51752f4171933f6e20baac4968870e5e10edcf5f | [
"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 | 35,174 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.exp_deriv
/-!
# Differentiability of trigonometric functions
## Mai... |
5f011b8376ace7791d59b3cdece0023fe8c4eea7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebraic_geometry/locally_ringed_space.lean | 036fc1011fc45e4753f425a478c9ff0939b13e91 | [
"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 | 10,196 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebraic_geometry.ringed_space
import algebraic_geometry.stalks
import logic.equiv.transfer_instance
/-!
# The category of locally ringed spaces
We define ... |
c4ee3c8bcdc66502255d550dd572eb8c646bbac9 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/multiset/bind.lean | d791df03ce11681e1a4c95c8d6654997e8fe7506 | [
"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 | 8,914 | 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 algebra.big_operators.multiset
/-!
# Bind operation for multisets
This file defines a few basic operations on `multiset`, notably the monadic bind.
## Main ... |
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