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values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
33ff58584aa9b21b1a484f152fb77808d663fff1 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/lean/trace.lean | 9c52249d6c2748f2498bb8f2c2f311ccf2148db0 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 2,476 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.lean.format init.data.rbmap init.lean.position init.lean.name init.lean.options
universe u
namespace Lean
inductive Message
| fromFor... |
93677bebcef456c79700467019cb1943daf4bbfc | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /archive/imo/imo2011_q5.lean | a386587c31a31eb1afcb930fb50600dafa0970c5 | [
"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 | 2,097 | lean | /-
Copyright (c) 2021 Alain Verberkmoes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alain Verberkmoes
-/
import data.int.dvd.basic
/-!
# IMO 2011 Q5
Let `f` be a function from the set of integers to the set
of positive integers. Suppose that, for any two integer... |
744b493cf0a84dcadcf3876faedb650de1a2f274 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /library/theories/topology/order_topology.lean | c12b81b2fce1745b601ef0eff23f4696f0b1d78c | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,208 | lean | /-
Copyright (c) 2016 Jacob Gross. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jacob Gross
The order topology.
-/
import data.set theories.topology.basic algebra.interval
open algebra eq.ops set interval topology
namespace order_topology
variables {X : Type} [lin... |
c9b9cd6617fa27d1e7ae04937e4dc6a799ca14eb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/pkg/misc/Misc.lean | 24e0caf01afe5535738c183cfa2848ee279b1ca6 | [
"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 | 415 | lean | import Misc.Foo
import Misc.Boo
import Lean
open Lean Meta
#eval id (α := MetaM Unit) do
assert! (← getEnv).getModuleIdxFor? ``foo == (← getEnv).getModuleIdxFor? `auxDecl1
IO.println <| (← getEnv).getModuleIdxFor? ``Lean.Environment
IO.println <| (← getEnv).getModuleIdxFor? ``foo
IO.println <| (← getEnv).getM... |
65a882cf5979a4921a8b226c8cd15213219ea796 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/polynomial/lifts.lean | d5697ed3d951bcb983f12d402bbd17c462c312c6 | [
"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 | 10,821 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Riccardo Brasca
-/
import data.polynomial.algebra_map
import algebra.algebra.subalgebra
import algebra.polynomial.big_operators
import data.polynomial.erase_lead
/-!
# Polynomials th... |
51d70ad3a12f87045d1521280533a0bfb03274cd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/data/dlist_auto.lean | 658457e12dfe766ffa2d80bde2ae3badf32947b0 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,433 | lean | /-
Copyright (c) 2017 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.default
universes u l
namespace Mathlib
/--
A difference list is a function that, given a list, retur... |
8d632d33cf6df127d906f71bf8472c278e084fbe | 137c667471a40116a7afd7261f030b30180468c2 | /src/measure_theory/measurable_space.lean | cfd3fd964e35fe967aaa6d0750ef223ccb6e25d2 | [
"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 | 44,688 | 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 measure_theory.measurable_space_def
import measure_theory.tactic
/-!
# Measurable spaces and measurable functions
This file provides proper... |
44ef0a5339bd677b79b977d91e4ef4162fa6dc8d | ae9f8bf05de0928a4374adc7d6b36af3411d3400 | /src/formal_ml/int.lean | b4f67760040147cb3af78f6adc36ae17c68ebcdd | [
"Apache-2.0"
] | permissive | NeoTim/formal-ml | bc42cf6beba9cd2ed56c1cd054ab4eb5402ed445 | c9cbad2837104160a9832a29245471468748bb8d | refs/heads/master | 1,671,549,160,900 | 1,601,362,989,000 | 1,601,362,989,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,384 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
b7ad2e9855424cbff4f3662a2b341e5e248f87c3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/num5.lean | ee1d7226c21354697f17da24ff31fff3a5f94dac | [
"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 | 124 | lean | --
open num
eval 3+(2:num)
eval 3+2*(5:num)
eval 5*(5:num)
eval (eq.rec (eq.refl (2:num)) (eq.refl (2:num)) : 2 = (2:num))
|
6cc3601335774d57ab9082f9cb993591c1d724a4 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Tactic/Cache.lean | dea4b86fb8887eb1a62bddaad4aee9645a384090 | [
"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 | 2,979 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Tactic.Basic
namespace Lean.Elab.Tactic
open Meta
private def equivMVarDecl (d₁ d₂ : MetavarDecl) : Bool :=
d₁.type == d₂.type
-- The... |
068fee19ce03ef5597c84ebb9126b54778d2666e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/derive_fintype.lean | 4b1d5e43b0dc6a8e41d2099be0c9cd6a90b9b464 | [
"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 | 15,313 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import logic.basic
import data.fintype.basic
/-!
# Derive handler for `fintype` instances
This file introduces a derive handler to automatically generate `fintype`
... |
9ec3b0674778d67b4846e4529205c8552c35a4c5 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/order/lattice.lean | 5130bf6f9fb8d2624c8bf5b47b4c17f1c36817e3 | [
"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 | 17,911 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines the inf/sup (semi)-lattice with optionally top/bot type class hierarchy.
-/
import order.basic
set_option old_structure_cmd true
universes u v w
variables {α... |
f9ff5eb563308ba710e41640f286b9c89a5bc585 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/sites/cover_preserving.lean | 0d0eb57677afdb4f8587665b9f0698bdee15dda0 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 11,480 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.sites.limits
import category_theory.functor.flat
import category_theory.limits.preserves.filtered
import category_theory.sites.left_exact
/-!
# Cove... |
76f3b0be776cc0c7b3b1935cd305c4305f506dc0 | 7bf54883c04ff2856c37f76a79599ceb380c1996 | /mathlib/cubic_solution.lean | 61019321944d76fd531b7cd0681f785ef66ec30e | [] | no_license | anonymousLeanDocsHosting/lean-polynomials | 4094466bf19acc0d1a47b4cabb60d8c21ddb2b00 | 361ef4cb7b68ef47d43b85cfa2d13f2ea0a47613 | refs/heads/main | 1,691,112,899,935 | 1,631,819,522,000 | 1,631,819,522,000 | 405,448,439 | 0 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 25,509 | lean | import algebra.invertible
import tactic.linarith
import tactic.field_simp
import order.filter.at_top_bot
section fields
variables {F : Type*}
def cube_root_unity_a [field F] (root_three_i : F) : F :=
(-1 + root_three_i)/2
def cube_root_unity_b [field F] (root_three_i : F) : F :=
(-1 - root_three_i)/2
lemma mult... |
952a4c81fadfb7aed086e7745551efb3fb068b9a | 8cda3dace895437437849285448ae2a3515126f2 | /src/fol'.lean | 4f9ab58136470b76c517ef78be9a46befeb3841c | [
"Apache-2.0"
] | permissive | jesse-michael-han/lean-parser-combinators | cbaeaa9be32dd804f9bcb71a8bbd3d3c046c65f6 | d0dff9149a85a150679aa2145c4ffe2ac1ae5c0b | refs/heads/master | 1,592,121,439,883 | 1,564,418,867,000 | 1,564,418,867,000 | 194,953,385 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 110,060 | lean | -- /-
-- Copyright (c) 2019 The Flypitch Project. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Jesse Han, Floris van Doorn
-- -/
-- /- A development of first-order logic in Lean.
-- * The object theory uses classical logic
-- * We use de Bruijn variables.
-- ... |
ab07791c78939ce6b44ca9f6375605c402169bf6 | 56af0912bd25910f5caae91d6dd0603b0c032989 | /src/complex/kb_solutions/Level_03_conj.lean | 0e4e0b97d65c15402d07435292e886d614a64f0d | [
"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 | 3,247 | lean | /-
Copyright (c) 2020 The Xena project. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kevin Buzzard
Thanks: Imperial College London, leanprover-community
-/
-- import levels 1 and 2
import complex.kb_solutions.Level_02_I
/-! # Level 3: Complex conjugation -/
namespa... |
cd37c853ce1cf5137923f6814fbb40399f15afaa | 9bb72db9297f7837f673785604fb89b3184e13f8 | /library/init/meta/tactic.lean | 79e5ea7b944442dc75b56dd2e27005a5cf0c9327 | [
"Apache-2.0"
] | permissive | dselsam/lean | ec83d7592199faa85687d884bbaaa570b62c1652 | 6b0bd5bc2e07e13880d332c89093fe3032bb2469 | refs/heads/master | 1,621,807,064,966 | 1,611,454,685,000 | 1,611,975,642,000 | 42,734,348 | 3 | 3 | null | 1,498,748,560,000 | 1,442,594,289,000 | C++ | UTF-8 | Lean | false | false | 76,096 | 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.function init.data.option.basic init.util
import init.control.combinators init.control.monad init.control.alternative init.control.monad... |
963be2471603b1acceb596486970c89e0b684c19 | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/pushFilterPastAgg.lean | 1db8c3dacba280abffc8917ba0533c0654ba0fed | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 1,084 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..cosette_tactics
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
constant integer_10 : const int
definition rule: forall (Γ scm_dept: Schema) (rel_dept: relation scm_dept) (dept_deptno : Column int sc... |
71ce38a34894624781480c971e15a5ab95d4fe02 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/concrete_category/bundled.lean | de675d9604c4005dfda3e786ba30dac92e8b64f5 | [
"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 | 1,933 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Reid Barton, Sean Leather
-/
import tactic.pi_instances
/-!
# Bundled types
`bundled c` provides a uniform structure for bundling a type equipped with... |
78195e53e4e576dcb0e9a9859ca13b508359c36d | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/morphism/representation_on_field.lean | c684999a0685adbc982a105fe64bdb11640efeff | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,551 | lean | import morphism.projector
import linear_algebra.basis
universes u v w w'
variables {K : Type u} {V : Type v} [field K] [add_comm_group V] [vector_space K V]
[finite_dimensional K V](B : fin 3 → V)(hv : is_basis K B)
/-!
Goal : For a sub-vector space `W ≤ V`, construction of a projector `p : V →ₗ[K] V` with `r... |
9cc7a1f94149198a5fe53db748da4e3a93edf61c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/set_theory/cardinal/cofinality.lean | e55bbd14263d5f0432590da3a5b69181ee3a9a3e | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 45,306 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn, Violeta Hernández Palacios
-/
import set_theory.cardinal.ordinal
import set_theory.ordinal.fixed_point
/-!
# Cofinality
This file contains the defi... |
0f281445c69431535afec2fbfc18b8548ea75af1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/invariant_basis_number.lean | ef9b54e5dcfbee1f12c7b98907b4cdda1ddc6e27 | [
"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 | 12,306 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import ring_theory.ideal.quotient
import ring_theory.principal_ideal_domain
/-!
# Invariant basis number property
> THIS FILE IS SYNCHRONIZED WITH MAT... |
79027a41e41e0f64b62b3b4503b9bbdae5cdc91b | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/data/fintype.lean | 21da5628e7b2273bc70b645681815d1e408f4a9e | [
"Apache-2.0"
] | permissive | naussicaa/mathlib | 86d05223517a39e80920549a8052f9cf0e0b77b8 | 1ef2c2df20cf45c21675d855436228c7ae02d47a | refs/heads/master | 1,592,104,950,080 | 1,562,073,069,000 | 1,562,073,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,156 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas logic.unique
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
/-- `fintype α` me... |
63b54e8cbc3961dfaa013135ba539fa233e05860 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/field_theory/primitive_element.lean | 19ac99d09ab47a0028ca3d781edaf5ed6ea87e1d | [
"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 | 8,363 | 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.separable
/-!
# Primitive Element Theorem
In this file we prove the primitive element ... |
41181cd5c56d35f1c6dcd943c499dc7015e86617 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/field_theory/finite/polynomial.lean | 88aab88ecda56731ceb7828e7cc83f902b06add9 | [
"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 | 7,544 | 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 field_theory.finite.basic
import field_theory.mv_polynomial
import data.mv_polynomial.expand
import linear_algebra.basic
import linear_algebra.finite_dimensio... |
3d4676b442d72a7b9916726935dcc57deba07f4f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/polynomial/taylor.lean | 8cea6165daa5697760d86f1daebf6830d8ef7fdf | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,886 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.polynomial.algebra_map
import data.polynomial.hasse_deriv
import data.polynomial.degree.lemmas
/-!
# Taylor expansions of polynomials
> THIS FILE IS SY... |
02e9ce46cb344423421448c12920bf9b45ccfd1a | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast_cc6.lean | 4baba50776cccd6a40ca84c1e3a36d2b8666cfc0 | [
"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 | 528 | lean | import data.list
set_option blast.simp false
set_option blast.subst false
open perm list
definition tst₁
(A : Type) (l₁ l₂ l₃ l₄ l₅ : list A) :
(l₁ ~ l₂) → (l₃ ~ l₄) → (l₁ ++ l₃ ++ l₅ ++ l₄ ++ l₁) ~ (l₂ ++ l₄ ++ l₅ ++ l₃ ++ l₂) :=
by blast
print tst₁
definition tst₂
(A : Type) (l₁ l₂ l₃ l₄ l... |
52492b375a81c8d908c93f28e73c2eac4e265a2b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/tagged_format.lean | 2e172eeb204a3df35ce7bb582338f2aaa09f61dc | [] | 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 | 400 | lean | /-
Copyright (c) E.W.Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: E.W.Ayers
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.meta.expr_address
import Mathlib.Lean3Lib.init.control.default
namespace Mathlib
/--... |
7bab15a18f051395618f2be321b02f77d41e0d0c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/urysohns_lemma.lean | 32ea00924cfce89046c4aad92fbf078526aac180 | [
"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 | 12,638 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.normed_space.add_torsor
import linear_algebra.affine_space.ordered
import topology.continuous_function.basic
/-!
# Urysohn's lemma
In this f... |
3eed28d2734551be360af1b5f7b91d6672bd8f7e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/pairwise.lean | 97f027b5ae80374a7efb0b187aeff32c66b45adf | [
"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 | 18,231 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.count
import data.list.lex
import data.list.sublists
import data.set.pairwise
/-!
# Pairwise relations on a list
This file provides basic results a... |
6d1b6f6c412c16cf720e3f301e3f6ceb50d0f7ac | 94e33a31faa76775069b071adea97e86e218a8ee | /src/combinatorics/additive/salem_spencer.lean | 71b65b62a5537fb8813bbf1497712bf6fad07276 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 17,983 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import algebra.hom.freiman
import analysis.asymptotics.asymptotics
import analysis.convex.strict_convex_space
/-!
# Salem-Spencer sets and Ro... |
cfa86bfdb76c8f7e13e5f098d496936f13539e60 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/nat/sqrt.lean | 46087990a239e3cbc88bedb800d1aa9cf1d708c9 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 7,200 | 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, Johannes Hölzl, Mario Carneiro
-/
import data.int.basic
/-!
# Square root of natural numbers
An efficient binary implementation of a (`sqrt n`) function that... |
791b1b9dd7af7c6a202d930786e1cc800801c501 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/cont_mdiff_map.lean | 8fa29bf4479e5aefb1e9f5b5c60f66955a1b2aef | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,769 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import geometry.manifold.cont_mdiff
import topology.continuous_function.basic
/-!
# Smooth bundled map
In this file we define the type `cont_mdiff_map` of `n` ti... |
39188634c522b6790f01df0465fa81aa8638cfc3 | 8e31b9e0d8cec76b5aa1e60a240bbd557d01047c | /src/refinement/simplex.lean | 4119525d04dfdde29a0eb6e99bd91460b43ac916 | [] | no_license | ChrisHughes24/LP | 7bdd62cb648461c67246457f3ddcb9518226dd49 | e3ed64c2d1f642696104584e74ae7226d8e916de | refs/heads/master | 1,685,642,642,858 | 1,578,070,602,000 | 1,578,070,602,000 | 195,268,102 | 4 | 3 | null | 1,569,229,518,000 | 1,562,255,287,000 | Lean | UTF-8 | Lean | false | false | 44,389 | lean | import .tableau order.lexicographic
open matrix fintype finset function pequiv partition
variables {m n : ℕ}
variables {X : ℕ → ℕ → Type} [is_tableau X]
local notation `rvec`:2000 n := matrix (fin 1) (fin n) ℚ
local notation `cvec`:2000 m := matrix (fin m) (fin 1) ℚ
local infix ` ⬝ `:70 := matrix.mul
local postfix `ᵀ... |
fae7ae1d94c279ba10a90c16ade17e023466222a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/polynomial/gauss_lemma.lean | 72d07cc1d2395423bc676b40fda4802f0e1664b5 | [
"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 | 7,970 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import ring_theory.int.basic
import ring_theory.localization
/-!
# Gauss's Lemma
Gauss's Lemma is one of a few results pertaining to irreducibility of primitive pol... |
3d17d9fe77366b97896e79869361854809f25b40 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /src/builtin/kernel.lean | 7e06e7a939462dfaed2a5889640b49b0d8a78ad5 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 46,255 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import macros tactic
universe U ≥ 1
definition TypeU := (Type U)
-- create default rewrite rule set
(* mk_rewrite_rule_set() *)
variable Bool : Type
-... |
cd4852e81b295173592b80c097ffd17c0677c53d | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /tactic/basic.lean | 11534fda5bef507aaeee95a154f0e02a13e4b680 | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,786 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.dlist.basic
namespace expr
open tactic
protected meta def to_pos_nat : expr → option ℕ
| `(has_one.one _) := some 1
| `(bit0 %%e) := bit0 <$> e.to_pos_... |
cc666fd965f75f882035aa5122e94d1ac2471eb6 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/1705.lean | 35aef26a3248b37e1db3bfbe7b248197152cc075 | [
"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 | 376 | lean | def {u} stream (α : Type u) := nat → α
constant stream.cons {α} (a : α) (s : stream α) : stream α
notation h :: t := stream.cons h t
inductive T : Type
| mk : nat → T
notation `&-` := T.mk
example : T → T
| (&- x) := &- x --works
notation `&-` := list.head
example : T → T
| (&- x) := &- x
def f {α} : list α → nat... |
6284ae0b0dd0cb2c69a93d2de2a26c094c7dc126 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/types/lift.hlean | 8d332bc8d034ead000cf7d84bffdd4e74df3e2f5 | [
"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 | 4,865 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about lift
-/
import ..function
open eq equiv equiv.ops is_equiv is_trunc
namespace lift
universe variables u v
variables {A : Type.{u}} (z z' : lift... |
b651a1ebe6dac85395c35bca4be57758b227069c | 6e9cd8d58e550c481a3b45806bd34a3514c6b3e0 | /src/data/list/defs.lean | 6f8dfc345283a478d5b47d0a260c948b0a4306d4 | [
"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 | 20,100 | 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
Extra definitions on lists.
-/
import data.option.defs
import logic.basic
import tactic.cache
n... |
a0f59a50f399b7e3a2a01f1403d1348ec46de35b | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/tactic/wlog.lean | cd224ab0ad2a39be4ccb52dd793efc253cbdcee7 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 9,318 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Without loss of generality tactic.
-/
import tactic.basic tactic.interactive data.list.perm
open expr tactic lean lean.parser
local postfix `?`:9001 := optional
local... |
07c60a0c9e47ccad94632b3f9ce7423c216631ca | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/urysohns_lemma.lean | 86952bc44ec7be93c9506e5b372a0200509c1c6a | [
"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 | 12,740 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.normed_space.add_torsor
import linear_algebra.affine_space.ordered
import topology.continuous_function.basic
/-!
# Urysohn's lemma
> THIS FI... |
555fa7cca8ca99fd4c0bc83295efc6b8bb515029 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/module/submodule_pointwise.lean | 8655ebcfac52db3c6e0c7c42c7383f720fc6025c | [
"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 | 3,478 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.subgroup.pointwise
import linear_algebra.basic
/-! # Pointwise instances on `submodule`s
This file provides the actions
* `submodule.pointwise_distri... |
66777337ce5e989c1b0893d72210b29c5932753c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/groupoid.lean | 77dab11b93718d387df7d5091bfcd117104dab9c | [
"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 | 2,261 | lean | /-
Copyright (c) 2018 Reid Barton All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison, David Wärn
-/
import category_theory.full_subcategory
namespace category_theory
universes v v₂ u u₂ -- morphism levels before object levels. See note [catego... |
c01e6bef763df7fad1fd359c1195aa881dc89564 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/algebra/category/category.hlean | b58fa40906619e272c5c2bc8a7ed1ce48aa9c58f | [
"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 | 2,735 | hlean | /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jakob von Raumer
-/
import .iso
open iso is_equiv equiv eq is_trunc
-- A category is a precategory extended by a witness
-- that the function from paths to isomorphisms,
-- is an e... |
eb8e732dc63a063e2d6272952cecbc54b4a7beee | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/isomorphism.lean | 97e0173b3985db89fc5009f75bfe863a7d213a3c | [
"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 | 14,402 | 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 category_theory.functor
/-!
# Isomorphisms
This file defines isomorphisms between objects of a category.
## M... |
244bb9f4bbd541d6a6b11fb9a1eeac786fa328ec | 50b3917f95cf9fe84639812ea0461b38f8f0dbe1 | /M1F/easy_for_mathematicians/induction.lean | e3fbd518438d313bed55b6bc6a58a52c0b4dfeaa | [] | no_license | roro47/xena | 6389bcd7dcf395656a2c85cfc90a4366e9b825bb | 237910190de38d6ff43694ffe3a9b68f79363e6c | refs/heads/master | 1,598,570,061,948 | 1,570,052,567,000 | 1,570,052,567,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,257 | lean | --import data.finset data.set.finite data.fintype
--universes u v
/-- sum_from_one_to n f sums f(i) for 1<=i<=n -/
definition sum_from_one_to {α : Type*} [has_add α] [has_zero α] (n : ℕ) (f : ℕ → α) : α := sorry
theorem sum_from_one_to.rec {α : Type*} [has_add α] [has_zero α]
(n : ℕ) (f : ℕ → α) : sum_from_one_t... |
eaed558b8f90cbc3275bc2fd5202a25e35aab37d | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Server/CodeActions.lean | b95db3e57e1db4ab3cb6915692091f39f728a639 | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 6,310 | lean | /-
Copyright (c) 2022 E.W.Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: E.W.Ayers
-/
import Lean.Server.FileWorker.RequestHandling
import Lean.Server.InfoUtils
namespace Lean.Server
open Lsp
open RequestM
open Snapshots
/-- A code action optionally support... |
3f8aaca401fadfd8e19b9feeee0c45e2ff460d19 | 37da0369b6c03e380e057bf680d81e6c9fdf9219 | /hott/algebra/group_power.hlean | fe652e0303e8f8a1b0a7e80a639f000f6d4861b3 | [
"Apache-2.0"
] | permissive | kodyvajjha/lean2 | 72b120d95c3a1d77f54433fa90c9810e14a931a4 | 227fcad22ab2bc27bb7471be7911075d101ba3f9 | refs/heads/master | 1,627,157,512,295 | 1,501,855,676,000 | 1,504,809,427,000 | 109,317,326 | 0 | 0 | null | 1,509,839,253,000 | 1,509,655,713,000 | C++ | UTF-8 | Lean | false | false | 11,516 | hlean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
The power operation on monoids prod groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We have "pow a n" for... |
3ad23d17525798b960444a2e7da7d04ac6222129 | 3cb7d30bb276fa1e8fe9ca7b979f53cbfafb2dbb | /leanpkg/leanpkg/main.lean | 84d6fa1dc25207a3c4e5e090e5c9eadb7dd031c4 | [
"Apache-2.0"
] | permissive | andrejtokarcik/lean | e4148f69d020385c4fc07662b77792681b26c4d9 | ceacfa7445953cbc8860ddabc55407430a9ca5c3 | refs/heads/master | 1,584,800,445,031 | 1,529,598,225,000 | 1,529,598,469,000 | 138,652,902 | 0 | 0 | Apache-2.0 | 1,529,962,767,000 | 1,529,962,767,000 | null | UTF-8 | Lean | false | false | 11,766 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Gabriel Ebner
-/
import leanpkg.resolve leanpkg.git
namespace leanpkg
def write_file (fn : string) (cnts : string) (mode := io.mode.write) : io unit := do
h ← io.mk_file_handle... |
7aca6781b44c2a0aa70e06dd5347b6c5ad9d7b8a | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/inClassNotes/demo.lean | 1fcf2870f5611d4b1a36fa7bc04cc0667ca5f2f1 | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 1,275 | lean | inductive sqr_pred : nat → nat → Prop
| in_sqr_pred : ∀ (n1 n2 : nat), (n2 = n1*n1) → sqr_pred n1 n2
open sqr_pred
#check sqr_pred 3 6
example : sqr_pred 3 9:= in_sqr_pred _ _ (eq.refl _)
example : sqr_pred 3 9:=
begin
apply in_sqr_pred _ _ _,
exact (eq.refl _),
end
theorem verification : ∀ (n1 n2 : nat), sqr... |
b2bbba2227ff2850f84658db0c1cfc15df626c2e | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/analysis/filter.lean | 9145cc66933147d04a0767505c1d7a5b49d8b40f | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 11,833 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Computational realization of filters (experimental).
-/
import order.filter
open set filter
/-- A `cfilter α σ` is a realization of a filter (base) on `α`,
represent... |
eceec795b2d932adc61672742053b9f4f06482c9 | 690889011852559ee5ac4dfea77092de8c832e7e | /src/order/basic.lean | ceec3b8c71f7250ce7a13535ab2a18305f6629a8 | [
"Apache-2.0"
] | permissive | williamdemeo/mathlib | f6df180148f8acc91de9ba5e558976ab40a872c7 | 1fa03c29f9f273203bbffb79d10d31f696b3d317 | refs/heads/master | 1,584,785,260,929 | 1,572,195,914,000 | 1,572,195,913,000 | 138,435,193 | 0 | 0 | Apache-2.0 | 1,529,789,739,000 | 1,529,789,739,000 | null | UTF-8 | Lean | false | false | 26,152 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro
-/
import logic.basic data.sum data.set.basic algebra.order
open function
/- TODO: automatic construction of dual definitions / theorems -/
universes u v... |
afe70be2ee142424a8e64cd6de80408cb1b2e685 | 26bff4ed296b8373c92b6b025f5d60cdf02104b9 | /tests/lean/run/clear_tac.lean | 7f9bcee8be1d9d70ee9c433501c8267b36a255c1 | [
"Apache-2.0"
] | permissive | guiquanz/lean | b8a878ea24f237b84b0e6f6be2f300e8bf028229 | 242f8ba0486860e53e257c443e965a82ee342db3 | refs/heads/master | 1,526,680,092,098 | 1,427,492,833,000 | 1,427,493,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 289 | lean | import logic
example {a b c : Prop} : a → b → c → a ∧ b :=
begin
intros (Ha, Hb, Hc),
clear Hc,
clear c,
apply (and.intro Ha Hb),
end
example {a b c : Prop} : a → b → c → c ∧ b :=
begin
intros (Ha, Hb, Hc),
clear Ha,
clear a,
apply (and.intro Hc Hb),
end
|
29fb3d24fd774c1b14e968e66310db7f52e7c39f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/615.hlean | 021003ab5e6c688af2114081b9a3e25bad63996e | [
"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 | 489 | hlean | -- HoTT
import homotopy.circle
open circle eq int pi
attribute circle.rec circle.elim [recursor 4]
protected definition my_code (x : circle) : Type₀ :=
begin
induction x,
{ exact ℤ},
{ apply ua, apply equiv_succ}
end
protected definition my_decode {x : circle} : my_code x → base = x :=
begin
induction x,... |
ac8144206c329877c2099626c9fb61661b1828df | ce89339993655da64b6ccb555c837ce6c10f9ef4 | /bluejam/chap5_exercise4.1.lean | 0945cf80d799905046dd5cfec143584458d80b05 | [] | no_license | zeptometer/LearnLean | ef32dc36a22119f18d843f548d0bb42f907bff5d | bb84d5dbe521127ba134d4dbf9559b294a80b9f7 | refs/heads/master | 1,625,710,824,322 | 1,601,382,570,000 | 1,601,382,570,000 | 195,228,870 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 554 | lean | variables (α : Type) (p q : α → Prop)
example : (∀ x, p x ∧ q x) ↔ (∀ x, p x) ∧ (∀ x, q x) :=
begin
apply iff.intro,
intro h,
split,
intro x,
apply (h x).left,
intro x,
exact (h x).right,
intro h,
intro x,
split,
apply h.left,
apply h.right
end
example : (∀ x, p x → q x) → (∀ ... |
2783a454a994b5b99cd446e61774b93fa3e64280 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/sign.lean | e0b080a9ee84bb4a355c9cadd1aa01b3eaba2b3d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,072 | lean | inductive Sign where
| zero | neg | pos
deriving DecidableEq
instance : OfNat Sign (nat_lit 0) where
ofNat := .zero
instance : OfNat Sign (nat_lit 1) where
ofNat := .pos
instance : Neg Sign where
neg | .zero => .zero
| .pos => .neg
| .neg => .pos
namespace Sign
@[simp] theorem zero_eq : zer... |
d1013e50592768ca6ea61fd4a20632a4a40c8057 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/data/matrix.lean | 3067891ae93d50cf92a549f4d10270cf0202076a | [
"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 | 2,813 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Matrices
-/
import algebra.ring data.fin data.fintype
open algebra fin nat
definition matrix [reducible] (A : Type) (m n : nat) := fin m → fin n → A
namespac... |
38989ea47ec8a77e1e181e1214bc83b465113cc0 | 2c41ae31b2b771ad5646ad880201393f5269a7f0 | /Lean/Qualities/Sustainable.lean | 2dfaa4ef094d6316ded3feb16392d4eb5416e0b2 | [] | no_license | kevinsullivan/Boehm | 926f25bc6f1a8b6bd47d333d936fdfc278228312 | 55208395bff20d48a598b7fa33a4d55a2447a9cf | refs/heads/master | 1,586,127,134,302 | 1,488,252,326,000 | 1,488,252,326,000 | 32,836,930 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 674 | lean | -- Sustainable
/-
[Sustainable] is parameterized by an instance of type [SystemType], and it's a sub-attribute to [Efficient].
An instance of type [SystemType] is deemed [Sustainable] if and only if all the requirements are satisfied.
-/
import SystemModel.System
inductive Sustainable (sys_type: SystemType):... |
622f0b7739b4efcfe18968c07470d7f12926fd2f | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib/Tactic/Basic.lean | 0ac5dff41533e5352ef2df6b23248ad07eb215d5 | [
"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 | 6,755 | lean | /-
Copyright (c) 2021 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.Tactic.NoMatch
import Lean.Elab.Command
open Lean Parser.Tactic Elab Command Elab.Tactic Meta
syntax (name := «variables») "variables" (bracketedBinde... |
9ee40d43a0bdf71a8ced845e6ecf1ea5fe2e0ba6 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/real/default.lean | 4567ee42ff0db0c50d3133410ced3e8285068f42 | [
"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 | 210 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
-/
import .basic .order .division .complete .bigops
|
5c914bea0b6c33edc98b173a5887f20b65a403c9 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /tests/lean/run/fingerprint.lean | 218bb7a8f23c62f87216ed85ba128cf08b3bf603 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 710 | lean | open tactic
run_command attribute.fingerprint `reducible >>= trace
definition ex0 : nat :=
by attribute.fingerprint `reducible >>= nat.to_expr >>= exact
attribute [reducible]
definition f : nat := 10
run_command attribute.fingerprint `reducible >>= trace
definition ex1 : nat :=
by attribute.fingerprint `reducible ... |
a39c4323536efea953627c3a4de9c740ff3a8822 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/slow/nat_bug1.lean | a6d1b2dd41ed8c830cb4fd735c731476e077f49a | [
"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 | 1,050 | lean | ----------------------------------------------------------------------------------------------------
-- Copyright (c) 2014 Floris van Doorn. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Floris van Doorn
-----------------------------------------------------------... |
a371e2cbc4ed708fb2a4b2cac00f83d2709d87b5 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/category_theory/whiskering.lean | 32e7e53fa7818862e85522be286890af5e2fd076 | [
"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 | 7,832 | 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.natural_isomorphism
namespace category_theory
universes u₁ v₁ u₂ v₂ u₃ v₃ u₄ v₄
section
variables (C : Type u₁) [𝒞 : category.{v₁} C]
... |
bcda6fb7e56656d4f2ea6d79a38f40696c536bd4 | 682dc1c167e5900ba3168b89700ae1cf501cfa29 | /src/basicmodal/language.lean | f80644455b7aae5e6c186c28350a7fc586215119 | [] | no_license | paulaneeley/modal | 834558c87f55cdd6d8a29bb46c12f4d1de3239bc | ee5d149d4ecb337005b850bddf4453e56a5daf04 | refs/heads/master | 1,675,911,819,093 | 1,609,785,144,000 | 1,609,785,144,000 | 270,388,715 | 13 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 632 | lean | /-
Copyright (c) 2021 Paula Neeley. All rights reserved.
Author: Paula Neeley
-/
inductive form : Type
| bot : form
| var (n : nat) : form
| and (φ ψ : form) : form
| impl (φ ψ : form) : form
| box (φ : form) : form
-- Notation
notation `⊥`:80 := form.bot
prefix `p`:80 := form.va... |
cd77d83367d41fdd9c29b21c081f896b98901a5e | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Declaration.lean | d21b9f0e33f15b3e7935bbc105e8ab912180fc53 | [
"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 | 13,275 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
/--
Reducibility hints are used in the convertibility checker.
When trying to solve a constraint such a
(f ...)... |
e4850f41b7295f1c73fb4d8f249e0066b96059a3 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/integral_closure.lean | 45fe733cd2f34c7241a6a5f2f3590afa33ce3bfc | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,049 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.adjoin.basic
import ring_theory.polynomial.scale_roots
import ring_theory.polynomial.tower
/-!
# Integral closure of a subring.
If A is an R-algebra then `... |
1a3e3678bb23e204e3dd145f2557c318f076c2ee | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/regular/basic.lean | ab2c6ce3dea20796b27e0179a25a4033b823387f | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,592 | 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.ordered_monoid_lemmas
import algebra.group_with_zero.basic
import logic.embedding
/-!
# Regular elements
We introduce left-regular, right-regular and r... |
28cf50d8cf11b5df03c6648431f75bc67998e5e8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/projective_spectrum/topology.lean | d6d8f3f9408c0a642d3be8f4c7ebf9171bb905de | [
"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 | 18,625 | lean | /-
Copyright (c) 2020 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang, Johan Commelin
-/
import ring_theory.graded_algebra.homogeneous_ideal
import topology.category.Top.basic
import topology.sets.opens
/-!
# Projective spectrum of a graded ... |
f0c138a83b437f95dbc71e86c6600393c4b4ae48 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/data/ulift_t.lean | 14564d7f26f59eac28dedb9553f277e8c4363102 | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,400 | lean |
import util.data.functor
universes u v w
namespace ulift
variables {α β γ : Type u}
def pure (x : α) : ulift α := ⟨ x ⟩
def bind (x : ulift α) (f : α → ulift β) : ulift β :=
f (down x)
instance : has_bind ulift := ⟨ @bind ⟩
lemma bind_assoc (x : ulift α) (f : α → ulift β) (g : β → ulift γ)
: x >>= f >>= g = x >... |
228a11e844d6641b39089440557d0d1d3da88ed0 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/order/bounded_lattice.lean | 2948ed906b8e640a4414954fff7c951ff6bffc22 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 27,773 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice data.option.basic
tactic.pi_instances
set_option ol... |
56bd1981c8ff2fa7e7b63b7d5f885d694de2670e | 022547453607c6244552158ff25ab3bf17361760 | /archive/100-theorems-list/83_friendship_graphs.lean | 9a2e554830ac7ae6d2113ac527d0e56aabb56b36 | [
"Apache-2.0"
] | permissive | 1293045656/mathlib | 5f81741a7c1ff1873440ec680b3680bfb6b7b048 | 4709e61525a60189733e72a50e564c58d534bed8 | refs/heads/master | 1,687,010,200,553 | 1,626,245,646,000 | 1,626,245,646,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,770 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller
-/
import combinatorics.simple_graph.adj_matrix
import linear_algebra.char_poly.coeff
import data.int.modeq
import data.zmod.basic
import tacti... |
4ca95608d36a304d7b1c8efcf5b624761a5e19e7 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/algebra/classical_lie_algebras.lean | 5d26c5782e82b254cb6d1946ecb95dea4e7df774 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 13,509 | 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.invertible
import algebra.lie_algebra
import linear_algebra.matrix
/-!
# Classical Lie algebras
This file is the place to find definitions and basic proper... |
29ba316e4181a61b39b8f945e18d890be7e3d7d0 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/compiler/phashmap.lean | e1ad3192444bea56014edeb7f5846b8b5a5c15e3 | [
"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 | 2,146 | lean | import Std.Data.PersistentHashMap
import Lean.Data.Format
open Lean Std Std.PersistentHashMap
abbrev Map := PersistentHashMap Nat Nat
partial def formatMap : Node Nat Nat → Format
| Node.collision keys vals _ => Format.sbracket $
keys.size.fold
(fun i fmt =>
let k := keys.get! i;
let v := vals.get... |
d68699fdf8ff7fdee0dbca11c53dff73dbdc99bf | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/types/fin.hlean | 969245261592b12b51ce9677387cad74e1a432be | [
"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 | 22,742 | hlean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Haitao Zhang, Leonardo de Moura, Jakob von Raumer, Floris van Doorn
Finite ordinal types.
-/
import types.list algebra.bundled function logic types.prod types.sum types.nat.div
open eq ... |
385106cef91bacc83ed9c338b3daecb9a8a4c1be | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/lagrange.lean | eed289c788c5f537da0c17248760dbf30f9ed592 | [
"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 | 7,047 | 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 ring_theory.polynomial
import algebra.big_operators.basic
/-!
# Lagrange interpolation
## Main definitions
* `lagrange.basis s x` where `s : finset F` and `x : F`: t... |
0dfe448de1816bcd6b2bdd5ec6852cfb6eeedc9a | 048b0801f6dafb6486ca4f22bd0957671c3002ff | /src/tools/filter_decls.lean | b35d55b1dcf00bc76c8155a0d38d85f54f957733 | [
"Apache-2.0"
] | permissive | Scikud/lean-gym | e0782e36389ecfa1605a0c12dc95f67014a0fa05 | a1ca851b7c09eca1f72be2d059e3ed5536348b0b | refs/heads/main | 1,693,940,033,482 | 1,633,522,864,000 | 1,633,522,864,000 | 419,793,692 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,892 | lean | import util.tactic
import all
import tactic
section main
section
namespace io
namespace fs
def put_str_ln_flush (h : handle) (s : string) : io unit :=
put_str h s *> put_str h "\n" *> flush h
end fs
end io
setup_tactic_parser
meta def parse_decl_nm_and_open_ns : string → tactic (name × list name) := λ inp,
flip ... |
9f769e26190d36981dfb444ded74006e1b6383a0 | b561a44b48979a98df50ade0789a21c79ee31288 | /tests/lean/run/smartUnfoldingBug.lean | 8061d1c874225478a1d4d05de287a892dc04d168 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,310 | lean | import Lean.Meta
open Nat
structure ProvedSkip(n m: Nat) where
result : Nat
lt : m < n → result = m
ge : n ≤ m → result = m + 1
def provedSkip (n m : Nat) : ProvedSkip n m :=
if c : m < n then
⟨m, fun _ => rfl, fun hyp => False.elim (Nat.lt_irrefl m (Nat.lt_of_lt_of_le c hyp))⟩
else
⟨m + 1, fun hyp ... |
79bd246a2606896be0ba892fadf0670e34cc3917 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/linear_algebra/affine_space/ordered.lean | c56f5bdc111f802606cd2ae090a963581ddcbe38 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,834 | 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
-/
import linear_algebra.affine_space.midpoint
import algebra.module.ordered
import tactic.field_simp
/-!
# Ordered modules as affine spaces
In this file we de... |
04b077ae29fe5924a52deadbefce6d3971958a7e | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/category_theory/graded_object.lean | 3ba6e6d4beac2cb4c18899822230ef7c2725aa75 | [
"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 | 6,740 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.shift
import category_theory.limits.shapes.zero
/-!
# The category of graded objects
For any type `β`, a `β`-graded object over some category... |
907fc56ba8476c9f7043c1cb2e53f69e9eb8b4ee | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/macroStack.lean | 081f15317dc7cbfa8dc03d299d70f55452dd4315 | [
"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 | 313 | lean | new_frontend
def f1 :=
if h:x then 1 else 0
set_option pp.macroStack true
def f2 :=
if h:(x > 0) then 1 else 0
def x := <- get
macro foo! x:term:max : term => `(let x := "hello"; $x + x)
macro bla! x:term:max : term => `(fun (x : Nat) => if foo! ($x + x) < 1 then true else false)
def f (x : Nat) :=
bla! x
|
6d019ffb061c50d1f0fa4ef673f0eee904f5f1b3 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /library/data/real/basic.lean | 9210d1464a4c3de0f199d1d92502903f8297d6b0 | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 42,507 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
The real numbers, constructed as equivalence classes of Cauchy sequences of rationals.
This construction follows Bishop and Bridges (1985).
The construction of the rea... |
de7ca1a04c84a5c1cfb2166c63f691f10fbe3c87 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/structure_instance_bug2.lean | 9051ec14a94716ec334fb6b33f9a4153d2c314c4 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 290 | lean | def default_smt_pre_config : smt_pre_config := {}
def my_pre_config1 : smt_pre_config :=
{ default_smt_pre_config . zeta := tt }
def my_pre_config2 : smt_pre_config :=
{ default_smt_pre_config with zeta := tt }
structure st :=
(i : ℕ)
example (s : st) : unit × st :=
{s with i := 0}
|
8510a91d8d0ce708c83a735cfe26cf32301b3be5 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0207.lean | 0b9f258981513f9ce614835f320d3e5e623889e0 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 111 | lean | example (y : ℕ) : (λ x : ℕ, 0) y = 0 :=
begin
refl
end
example (x : ℕ) : x ≤ x :=
begin
refl
end
|
5f18434a02fa90f33f784c2dc93f71186c2f3c24 | 7850aae797be6c31052ce4633d86f5991178d3df | /src/Lean/Server/FileWorker/RequestHandling.lean | 026e7c80e0d067e6bf92d8f6ccf24b0106537a7d | [
"Apache-2.0"
] | permissive | miriamgoetze/lean4 | 4dc24d4dbd360cc969713647c2958c6691947d16 | 062cc5d5672250be456a168e9c7b9299a9c69bdb | refs/heads/master | 1,685,865,971,011 | 1,624,107,703,000 | 1,624,107,703,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,906 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.DeclarationRange
import Lean.Data.Json
import Lean.Data.Lsp
import Lean.Server.FileWorker.Utils
import Lean.Server.Requests
import... |
1d326774d5cdfd2a93e9c778a3c790a0c3f611bc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/stream/defs.lean | 874a07eb4fab0d9d917ea33b82611f3e2f807881 | [
"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 | 5,231 | 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
-/
/-!
# Definition of `stream` and functions on streams
A stream `stream α` is an infinite sequence of elements of `α`. One can also think about it as an
in... |
82a99fbcbb7da9ff529b1491582cee5c0ca39252 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1124.lean | 34049ad02918af81c91a4cd4bd29636224632d0e | [
"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 | 146 | lean | open Lean
syntax "foo" (ident ident)? : term
variable (x y : Option (TSyntax identKind))
example : MacroM Syntax := `(foo $[$x:ident $y:ident]?)
|
f0044bd92c3a1152006042f7bebb0d55fc37b04f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/valuation/basic.lean | e1dc335cac97420549af77fe7eb7e2fca82e6a41 | [
"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 | 30,042 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Patrick Massot
-/
import algebra.order.with_zero
import ring_theory.ideal.operations
/-!
# The basics of valuation theory.
The basic theory of valuat... |
00c27a2ded9754fbd4ea79580839ab178bf03aab | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/types/int/basic.hlean | 142f3f32d22d80fe3e9cf77ba79da46364826328 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 25,912 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
The integers, with addition, multiplication, and subtraction. The representation of the integers is
chosen to compute efficiently.
To faciliate prov... |
8d6043e939cf373523c8c2343813888cafe985f1 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/order/category/NonemptyFinLinOrd.lean | 8f74031530475df783126ca6781131077d7f366b | [
"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 | 2,267 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.fin.basic
import data.fintype.sort
import order.category.LinearOrder
/-! # Nonempty finite linear orders
Nonempty finite linear orders form the index ca... |
c06971ac2967df176cdd035b9334a82076d13311 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/processGenDiseqBug.lean | b5da7000a82af18ac07b9d8ced94a1aa6700f73e | [
"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 | 559 | lean | import Lean
inductive NEList (α : Type)
| uno : α → NEList α
| cons : α → NEList α → NEList α
def NEList.notUno : NEList α → Bool
| uno a => true
| cons a as => false
inductive Lambda
| mk : (l : NEList String) → l.notUno = true → Lambda
inductive Value
| lam : Lambda → Value
| nil : Value
def... |
1edfbd60bec1efc511cc6a8b2167d567ab530aaf | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/algebra/category/functor.hlean | 2d2e8bd9cd3630f9e3ce598d74b964b08ac767ca | [
"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 | 10,183 | 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, Jakob von Raumer
-/
import .iso types.pi
open function category eq prod prod.ops equiv is_equiv sigma sigma.ops is_trunc funext iso
open pi
structure functor (C ... |
9c9c789007ce2f17d2b3492e5ef0a03a67161421 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/mvar2.lean | 3770b21581dc75393e5a5bb0c33c25260ba5f9bf | [
"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 | 1,432 | lean | import Lean.MetavarContext
open Lean
def check (b : Bool) : IO Unit :=
unless b do throw $ IO.userError "error"
def f := mkConst `f []
def g := mkConst `g []
def a := mkConst `a []
def b := mkConst `b []
def c := mkConst `c []
def b0 := mkBVar 0
def b1 := mkBVar 1
def b2 := mkBVar 2
def u := mkLevelParam `u
def t... |
2a00a3e879aaa7b16b25c1d7c1ba247b859ae88b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/fubini.lean | 5c6ca492bcde5ddcb7e79f0a0e1662374ea3f69c | [
"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 | 11,382 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.has_limits
import category_theory.products.basic
import category_theory.functor.currying
/-!
# A Fubini theorem for categorical limits
... |
1e1bbc8618e2caa57b4019dfa40ac7286082ea91 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/algebra/group/units.lean | b91bbbeef202dd0d3aacb2ac2502798fc7b5a0cc | [
"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 | 14,685 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes Hölzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import logic.nontrivial
/-!
# Units (i.e., invertible elements) of a multiplicative mo... |
59860697c62f6c1c802499bc8e51bf65c5513608 | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/simp_coe.lean | 0d0a1ca3765a12191e58add9f26d1848e099436b | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 329 | lean | example (p : Prop) (h : p) : tt → p :=
begin
simp, assumption
end
local attribute [semireducible] coe_sort_bool
example (p : Prop) (h : p) : tt → p :=
begin
fail_if_success {simp},
intro, assumption
end
local attribute [reducible] coe_sort_bool
example (p : Prop) (h : p) : tt → p :=
begin
simp, assumption
e... |
8543d45ae15d659020486bcf3d9c5c1106ae6ef4 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/doc_string4.lean | 07798ea45d688ef2a03fc14a04d6ad06a9d9574f | [
"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 | 3,718 | lean | /-!
# Arithmetic expressions for a simple imperative language.
-/
namespace imp
open tactic
/-- Variable names -/
@[reducible] def uname := string
/--
#brief Arithmetic expressions abstract syntax tree.
We encode x + 1 as
```
check aexp.plus (aexp.var "x") (aexp.val 1)
```
-/
inductive aexp
| val : nat → aexp
| va... |
fd81eef7a68d33353849cd149fd337331cce336e | 27a31d06bcfc7c5d379fd04a08a9f5ed3f5302d4 | /src/Init/Prelude.lean | 0333e0248645abbf73cab3a21033c00b38f67bc7 | [
"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 | joehendrix/lean4 | 0d1486945f7ca9fe225070374338f4f7e74bab03 | 1221bdd3c7d5395baa451ce8fdd2c2f8a00cbc8f | refs/heads/master | 1,640,573,727,861 | 1,639,662,710,000 | 1,639,665,515,000 | 198,893,504 | 0 | 0 | Apache-2.0 | 1,564,084,645,000 | 1,564,084,644,000 | null | UTF-8 | Lean | false | false | 78,795 | 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
-/
prelude
universe u v w
@[inline] def id {α : Sort u} (a : α) : α := a
@[inline] def Function.comp {α : Sort u} {β : Sort v} {δ : Sort w} (f : β → δ) (g :... |
17e0490e572294484482edac81a2225b7c439d3f | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/algebraic_geometry/Spec.lean | 5539652c6c0b298ea7defabe6673d602b449e7e8 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,661 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import algebraic_geometry.locally_ringed_space
import algebraic_geometry.structure_sheaf
import data.equiv.transfer_instance
/-!
# $Spec$ as a funct... |
6677b7a02a5a87eab949b59f7929922a4a9c272e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/constructions/pullbacks.lean | 48895df94d5df5006ae56de6527a990a67b1adcb | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,036 | 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 category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.pullbacks
/-!
# Constructing ... |
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