Commit graph

405 commits

Author SHA1 Message Date
Leonardo de Moura
5f23179388 refactor(library/data/nat): remove unnecessary ! and eq.symm
The calc command automatically adds them now.
2014-10-30 23:28:35 -07:00
Leonardo de Moura
591e566472 feat(frontends/lean): try to inject symmetry (if needed) in calc proofs, add calc_symm command for configuring the symmetry theorem for a given operator
This is part of #268
2014-10-30 23:24:09 -07:00
Leonardo de Moura
09c6c05e26 chore(library/data/quotient): replace 'let' with 'have' and cleanup 2014-10-30 18:44:05 -07:00
Leonardo de Moura
407e35692b feat(frontends/lean/calc): wrap calc proofs with 'proof-qed' annotation to identify places where proof influences what is being proved
Later, we will add a custom annotation and elaborator for calc proofs.
This is the first step for issue #268.

Remark: we don't wrap the proof if it is of the form

   - `by tactic`
   - `begin tactic-seq end`
   - `{ expr }`
2014-10-30 18:33:47 -07:00
Leonardo de Moura
9547e2d077 feat(library/tactic): add rotate_left/rotate_right tactics, closes #278 2014-10-29 19:13:55 -07:00
Leonardo de Moura
e22eb3543c feat(library/tactic): add whnf tactic, closes #270 2014-10-28 23:18:49 -07:00
Leonardo de Moura
ea739100b3 fix(library/unifier): broken optimization in the unifier
See new comments and tests for details.
2014-10-28 16:09:41 -07:00
Leonardo de Moura
777aa63660 fix(kernel/inductive): relax eliminator generation rules for empty types
This commit also removes the workaround false.rec_type. It is not needed anymore
2014-10-28 10:31:00 -07:00
Leonardo de Moura
aafdbf57f0 fix(library/data/unit): missing file 2014-10-25 18:34:41 -07:00
Leonardo de Moura
c7f6a6b94e feat(library/definitional/cases_on): automatically add 'cases_on' 2014-10-25 17:22:02 -07:00
Leonardo de Moura
758a17ab23 refactor(library/data/unit): break unit.lean into smaller pieces
The unit datatype is used by automation.

We want to be able to access its declaration without having to access
all dependencies (e.g., decidable, subsingleton, inhabited, ...).

This is *not* an optimization, but a way to make sure we can "import" unit
before we import other declarations.
2014-10-25 14:57:33 -07:00
Jakob von Raumer
b575c972bd feat(library/hott) add the proof that the inverse of an equivalence is an equivalence
This is done by changing the order of theorems and using the adjointification.
2014-10-25 14:20:47 -07:00
Jakob von Raumer
e7aa5f65e7 fix(library/hott) close gaps and clean up adjointification proof 2014-10-25 14:16:24 -07:00
Jakob von Raumer
16a0e970f7 feat(library/hott) add adjointification proof up to two gaps 2014-10-25 14:16:24 -07:00
Leonardo de Moura
354b50a1f5 refactor(library/data/unit): make unit universe polymorphic
Motivation: we need it for "padding".
Example 1: defining a n-ary tuple type.
Example 2: defining cases-on for mutually recursive datatypes
2014-10-25 13:55:03 -07:00
Leonardo de Moura
cdcde661ef feat(library/definitional/induction_on): automatically add 'induction_on' 2014-10-25 13:37:04 -07:00
Leonardo de Moura
a7a06ab0f8 feat(library/definitional/rec_on): automatically generate rec_on function for inductive datatypes 2014-10-25 13:08:59 -07:00
Soonho Kong
51125c1577 fix(library/data/quotient/default.lean): remove classical 2014-10-24 07:41:29 -07:00
Leonardo de Moura
79d0347721 feat(library/tactic): add generalize tactic, closes #34
Remark: the intros tactic has been added in a different commit: 7d0100a340
2014-10-23 22:40:15 -07:00
Leonardo de Moura
e750c9b67a feat(frontends/lean): add 'info' tactic for producing PROOF_STATE info for emacs mode 2014-10-23 13:18:30 -07:00
Leonardo de Moura
00f9a10e82 refactor(library/tactic/unfold_tactic): use new 'tactic.expr' to implement 'unfold' tactic
This change also enabled us to remove hacks used in the tests modified
by this commit.
2014-10-23 10:26:19 -07:00
Leonardo de Moura
7c016191d2 chore(library/hott): add Jakob to list of authors 2014-10-22 22:28:21 -07:00
Jakob von Raumer
f182299459 fix(library/hott) fix funext.lean to match equivalence notation 2014-10-22 22:28:21 -07:00
Jakob von Raumer
abd5c574ad fix(library/hott) : convert to new path notations
Convert definitions and proofs to new notations for inverse and cocatenation. Adapt to now right associative of concatenation.
2014-10-22 22:28:14 -07:00
Jakob von Raumer
a169f791df feat(library/hott): add adjointification and closure properties for equivalences
Port features from the Coq Hott library
2014-10-22 22:22:08 -07:00
Leonardo de Moura
5a553603d1 fix(library/general_notation): mark \tr as left associative 2014-10-22 22:18:40 -07:00
Leonardo de Moura
3aec70b92c feat(library/tactic): elaborate 'exact' tactic argument at tactic execution time 2014-10-22 22:13:37 -07:00
Leonardo de Moura
c50227ea6e feat(library/tactic): change apply tactic semantics: goals are not reversed; and dependent arguments are not included
This commit also adds the tactic rapply that corresponds to the previous
semantics we have been using.
2014-10-22 18:11:09 -07:00
Leonardo de Moura
e95c7c5f70 refactor(library/tactic/rename_tactic): use new 'tactic.expr' to implement 'intro/intros' tactic
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-10-22 17:29:50 -07:00
Leonardo de Moura
9a316092d1 refactor(library/tactic/rename_tactic): use new 'tactic.expr' to implement rename tactic 2014-10-22 17:29:50 -07:00
Leonardo de Moura
5e15ac0c92 feat(library/tactic): add new approach for embedding non-elaborated expressions into tactics 2014-10-22 17:29:50 -07:00
Leonardo de Moura
6b89080b1a feat(frontends/lean): do not allow user to define notation using tokens ! and @, closes #248 2014-10-21 16:28:36 -07:00
Leonardo de Moura
dea3357d7c refactor(library/hott/path): use HoTT book notation for path concatenation and inverse 2014-10-21 16:11:55 -07:00
Leonardo de Moura
e24225fabf feat(frontends/lean): validate infixl/infixr/postfix/prefix declarations against reserved notations 2014-10-21 15:39:47 -07:00
Leonardo de Moura
6c7e23ecaa refactor(library): use 'reserve' notation in the standard library 2014-10-21 15:39:47 -07:00
Leonardo de Moura
45df5cffd8 refactor(library/hott): remove unnecessary generalizations 2014-10-21 09:11:22 -07:00
Leonardo de Moura
2e9141b7e1 refactor(library): remove unnecessary :max hack in notation declarations
This hack is not needed anymore.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-10-20 18:45:52 -07:00
Leonardo de Moura
40fb66bf07 feat(frontends/lean): change default precedence to 1 2014-10-20 18:40:55 -07:00
Leonardo de Moura
e68007a727 fix(frontends/lean/builtin_tactics): adjust tactics precedence 2014-10-20 17:10:16 -07:00
Leonardo de Moura
854e72e665 refactor(library/data/list): minimize dependencies and avoid 'sorry' warning 2014-10-20 15:32:42 -07:00
Leonardo de Moura
f63d47fef3 feat(frontends/lean/pp): support foldl/foldr notation in the pretty printer 2014-10-19 11:16:24 -07:00
Leonardo de Moura
85339c0cc1 fix(library/data/list/basic): mark :: as infixr 2014-10-19 08:58:52 -07:00
Leonardo de Moura
144150d47b fix(library/type): modify declaration order and make sure Type1, Type2 and Type3 notations have precedence over Type' during pretty printing 2014-10-18 15:15:44 -07:00
Leonardo de Moura
58c9421bab refactor(library/tactic): elaborate expressions nested in tactics with respect to current goal, save postponed constraints (e.g., flex-flex constraints) closes #44, fixes #70 2014-10-14 17:18:40 -07:00
Soonho Kong
ba24d01dd2 chore(library/Makefile): remove unused Makefile 2014-10-14 08:41:19 -07:00
Leonardo de Moura
4a9e725ca7 refactor(library/algebra/category/morphism): make sure bug #231 has been fixed 2014-10-13 20:56:40 -07:00
Leonardo de Moura
9edf780a00 feat(frontends/lean): elaborate inductive datatypes and introduction rules as a single elaboration problem 2014-10-13 18:35:11 -07:00
Leonardo de Moura
5c1d5133dd fix(library/data/prod): make the notation for tuples and product types consistent 2014-10-13 06:48:37 -07:00
Leonardo de Moura
a26618e0f2 feat(frontends/lean): add '[]' notation for marking arguments where class-instance resolution should be applied 2014-10-12 13:06:00 -07:00
Leonardo de Moura
f832212fc8 refactor(library/algebra/category): remove unnecessary sections 2014-10-11 16:40:26 -07:00
Floris van Doorn
c630b5ddb2 feat(library/algebra/category): use variables instead of parameters 2014-10-11 16:40:18 -07:00
Leonardo de Moura
d6d0593afb refactor(library): remove some unnecessary sections 2014-10-10 16:33:58 -07:00
Leonardo de Moura
a41850227a refactor(library/logic): use new K-like reduction to simplify some proofs 2014-10-10 14:52:21 -07:00
Leonardo de Moura
052bc6ff20 fix(frontends/lean/elaborator): better specific universe detection 2014-10-09 14:43:07 -07:00
Leonardo de Moura
8f1b6178a7 chore(*): minimize the use of parameters 2014-10-09 07:13:06 -07:00
Leonardo de Moura
f9e8503005 chore(library/algebra/category): add workaround 2014-10-09 00:05:37 -07:00
Leonardo de Moura
8c5d3392c7 fix(library/algebra/category): minor fixes to reflect recent changes, and fix tests 2014-10-08 23:44:09 -07:00
Floris van Doorn
0a58e3d1ae feat(algebra/category/): minor additions, start on adjunction 2014-10-08 23:14:44 -07:00
Floris van Doorn
57bee2a659 feat(binary.lean): add helper theorem for associative functions 2014-10-08 23:14:44 -07:00
Floris van Doorn
8d376b93cd feat(category): split category.lean in different files; add more constructions and theorems about isos 2014-10-08 23:14:44 -07:00
Floris van Doorn
ae3419f82f feat(library): add definition of subsingleton and some other minor changes 2014-10-08 23:14:44 -07:00
Floris van Doorn
abee75c5e9 feat(quantifiers.lean): change exists_unique to a constructively stronger formulation
the previous formulation was constructively probably to weak to be useful
2014-10-08 23:14:44 -07:00
Leonardo de Moura
744cee8dd8 feat(frontends/lean): force 'classes' to be declared before instances are declared, closes #228 2014-10-07 18:02:15 -07:00
Leonardo de Moura
c9e5e40477 refactor(library/data/num): cleanup 2014-10-05 13:47:51 -07:00
Leonardo de Moura
86591c7272 refactor(library/data/prod): cleanup 2014-10-05 13:38:08 -07:00
Leonardo de Moura
d56266c524 refactor(data/sum): use sections 2014-10-05 13:20:04 -07:00
Leonardo de Moura
15779c5d1e refactor(data/list): use '!' operator, and new name convention for declaration names 2014-10-05 13:10:35 -07:00
Leonardo de Moura
efaeeb0726 refactor(data/nat/sub): use new policy for marking implicit arguments and '!' operator 2014-10-05 12:39:13 -07:00
Leonardo de Moura
fa96596bf7 refactor(data/int/order): use '!' operator 2014-10-05 11:44:18 -07:00
Leonardo de Moura
a0d4d82f3f refactor(data/nat/order): use new policy for marking implicit arguments and '!' operator 2014-10-05 11:36:39 -07:00
Leonardo de Moura
e91a64fb38 chore(library/logic): fix comments 2014-10-05 11:11:48 -07:00
Leonardo de Moura
73aa024c31 refactor(library/logic): remove 'core' subdirectory 2014-10-05 10:50:13 -07:00
Leonardo de Moura
0f90d10a13 refactor(logic/core/eq): use sections 2014-10-05 10:19:50 -07:00
Leonardo de Moura
317e910054 refactor(library/data/bool): use new style 2014-10-05 09:50:55 -07:00
Leonardo de Moura
5a927b6db4 refactor(library/logic/cast): define heq using inductive datatypes
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-10-03 21:40:51 -07:00
Leonardo de Moura
a52b21c92d refactor(library): using section variables 2014-10-02 18:25:00 -07:00
Leonardo de Moura
d5cad765a0 feat(frontends/lean): enforce new semantics for section 'variables'
The library file logic/core/connectives uses the new feature.
2014-10-02 17:55:34 -07:00
Leonardo de Moura
4946f55290 refactor(frontends/lean): constant/axiom are top-level commands, parameter/variable/hypothesis/conjecture are section/context-level commands
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-10-02 17:55:34 -07:00
Leonardo de Moura
f78d831de3 refactor(frontends/lean): remove hardcoded Type', and define it using notation 2014-10-02 14:29:51 -07:00
Leonardo de Moura
76d21900a2 feat(library): add aliases for some sorts 2014-10-02 14:29:51 -07:00
Leonardo de Moura
98e66586e9 feat(frontends/lean/elaborator): elaborator rejects 'Type' if the universe is explicit 2014-10-02 14:29:51 -07:00
Leonardo de Moura
d42fd657fe refactor(library): is_inhabited "theorems" should be "definitions", they are "data" 2014-10-02 09:00:34 -07:00
Leonardo de Moura
153e3927ac feat(frontends/lean/elaborator): modify '!' semantics: it stops consuming arguments as soon it finds an argument that does not occur in the rest of the type. 2014-10-01 18:50:17 -07:00
Leonardo de Moura
e64d5c4a4a refactor(library/data/nat): use new operator '!' 2014-10-01 18:39:47 -07:00
Leonardo de Moura
a978e30c81 refactor(library/data/nat): rename to_nat to of_num 2014-10-01 17:52:33 -07:00
Leonardo de Moura
716cd4d651 refactor(library): rename namespace eq_ops to eq.ops 2014-10-01 17:51:17 -07:00
Leonardo de Moura
bc6ebf34be feat(library/data/bool): do not use ! as notation for bnot, rename band/bor -> and/or 2014-10-01 17:00:03 -07:00
Leonardo de Moura
3657d4c3ab feat(frontends/lean): coercion num -> int even when nat is not open, closes #219
I also had to mark the coercions as reducible.
Otherwise, given the constraint

          ?M (int.of_num 0) =?= (int.of_nat (nat.to_nat 0))

the unifier will not generate the solution

          ?M := fun x, x
2014-10-01 11:09:10 -07:00
Leonardo de Moura
3ca1264f61 refactor(library): mark 'decidable' theorems as definitions
If we don't do that, then any 'if' term that uses one of these theorems
will get "stuck". That is, the kernel will not be able to reduce them
because theorems are always opaque
2014-09-30 09:02:37 -07:00
Leonardo de Moura
21be308884 feat(frontends/lean/inductive_cmd): infer implicit argument annotation after elaboration, allow user to disable it by using '()' annotation, closes #210 2014-09-29 11:11:17 -07:00
Leonardo de Moura
9c55bbb871 feat(frontends/lean/elaborator): report an error when Type becomes a Prop after elaboration, closes #208 2014-09-29 08:18:10 -07:00
Leonardo de Moura
397395bbc9 feat(frontends/lean): allow user to associate priorities to class-instances, closes #180 2014-09-28 12:20:42 -07:00
Floris van Doorn
3a95734fae feat(library): changes in eq.lean sigma.lean and category.lean
in eq.lean, make rec_on depend on the proof, and add congruence theorems for n-ary functions with n between 2 and 5
in sigma.lean, finish proving equality of triples
in category.lean, define the functor category, and make the proofs of the arrow and slice categories easier for the elaborator
2014-09-26 19:45:23 -04:00
Floris van Doorn
05fb3aa060 feat(library/data/int): remove duplicate theorem, fix one sorry 2014-09-26 19:45:23 -04:00
Floris van Doorn
5396e422d2 feat(library): add constructions of categories, some changes in eq, sigma and path
in eq, add theorem for proof irrelevance and congruence for binary functions
in sigma, add some support for triplets
in path, comment out two unneccesary definitions
in category, add Cat, slice, coslice, product and arrow categories, also add fully bundled approach
2014-09-26 19:45:23 -04:00
Leonardo de Moura
86f06a54ea refactor(library/data/vector): rename 'vec' to 'vector' 2014-09-19 16:20:50 -07:00
Leonardo de Moura
e430dc8bab feat(frontends/lean): add 'irreducible' as syntax sugar for 'reducible [off]' 2014-09-19 15:54:32 -07:00
Leonardo de Moura
4e2377ddfc refactor(frontends/lean): replace '[protected]' modifier with 'protected definition' and 'protected theorem', '[protected]' is not a hint.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-19 15:54:32 -07:00
Leonardo de Moura
5d8c7fbdf1 refactor(frontends/lean): replace '[private]' modifier with 'private
definition' and 'private theorem', '[private]' is not a hint.
2014-09-19 15:54:32 -07:00
Leonardo de Moura
97b1998def refactor(frontends/lean): replace '[opaque]' modifier with 'opaque
definition', '[opaque]' is not a hint, but a kind of definition
2014-09-19 15:54:32 -07:00