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94 commits

Author SHA1 Message Date
Leonardo de Moura
d7042c4618 fix(library/logic/heq): heq.to_eq must be transparent because it is needed in the 'inversion' tactic used by definitional package 2014-11-28 23:49:17 -08:00
Jeremy Avigad
bb8d436e75 refactor(library/algebra/relation, library/logic/instances): revise equivalence relations and congruences to use structure command 2014-11-28 22:54:15 -08:00
Leonardo de Moura
faf736a9d2 feat(library/logic/default): add wf_k 2014-11-22 13:25:46 -08:00
Leonardo de Moura
a3daff702a fix(library/logic/wf): typo 2014-11-22 13:25:46 -08:00
Leonardo de Moura
47b6cfb28d feat(library/logic/if): add dependent if-then-else: dite 2014-11-22 09:56:32 -08:00
Leonardo de Moura
29a0d3109b refactor(library/logic/connectives): mark theorems used to prove 'decidable' theorems as transparent 
if we don't this, then 'if-then-else' expressions depending on theorems
such as 'and_decidable', 'or_decidable' will not compute inside the kernel
 2014-11-22 09:32:43 -08:00
Leonardo de Moura
7c54dbce10 refactor(library/logic/if): mark basic theorem transparent 2014-11-22 00:19:05 -08:00
Leonardo de Moura
acf1c501ad refactor(library/logic/prop): allow 'absurd' to generate Type 2014-11-22 00:19:05 -08:00
Leonardo de Moura
2e121182de refactor(library/logic/decidable): rename decidable_rel -> decidable_pred, and decidable_rel2 -> decidable_rel 2014-11-21 11:49:31 -08:00
Leonardo de Moura
47e3f0e770 fix(library/logic/wf_k): missing file 2014-11-21 10:03:20 -08:00
Leonardo de Moura
e77cd59368 refactor(library/logic): add basic definitions for relations at logic/relation.lean 
We need them for wf and definitional package
 2014-11-18 17:32:22 -08:00
Leonardo de Moura
bf5f48730c refactor(library/data/subtype): define subtype using 'structure' command 2014-11-16 15:01:14 -08:00
Leonardo de Moura
627c7cb531 chore(library/logic/wf): remove unnecessary :max 2014-11-14 17:37:05 -08:00
Leonardo de Moura
edd04881ee fix(library/logic): import prod and unit declarations in logic 
Reason: we need them for automatically generating constructions needed
by the definitional package
 2014-11-12 16:54:50 -08:00
Leonardo de Moura
9c93816211 chore(library/logic/wf): cleanup 2014-11-10 21:19:38 -08:00
Leonardo de Moura
4ebd3e2c27 feat(library/logic/wf): transitive closure of a well-founded relation is well-founded 2014-11-10 21:07:28 -08:00
Leonardo de Moura
22b7a0615f fix(frontends/lean): coercion affects other modules 2014-11-10 20:14:19 -08:00
Leonardo de Moura
64043094f4 feat(library/logic/wf): some basic definitions for constructing well_founded relations 2014-11-10 17:57:55 -08:00
Floris van Doorn
bf27a17dec style(library): add some comments 2014-11-08 19:12:54 -08:00
Floris van Doorn
8c7fdd3708 style(library): rename set_category to discrete_category 2014-11-08 19:12:54 -08:00
Leonardo de Moura
ad2ecfb7a8 refactor(library/logic/cast): move heq declaration to a separate module 
heq is be needed for some automatically generated constructions.
So, we want it available with the least number of dependencies.
 2014-11-08 10:19:29 -08:00
Leonardo de Moura
92b0a538c5 refactor(library/logic/wf): add well_founded class, and cleanup file 2014-11-07 10:18:24 -08:00
Leonardo de Moura
781f709bb4 feat(library/logic): import wf.lean in logic/default.lean 
We will use well-founded recursion in the definitional package
 2014-11-06 15:03:13 -08:00
Leonardo de Moura
194247f75b refactor(library/logic/wf): minimize dependencies 2014-11-06 14:59:03 -08:00
Leonardo de Moura
b177c84b06 feat(library/logic): add well-founded recursion 
It also removes the old well-founded induction theorem based on
classical principles
 2014-11-06 14:49:53 -08:00
Leonardo de Moura
d306c42a1f refactor(library/logic): cleanup some of the proofs in cast.lean, remove piext axiom 
Remark: the main motivation for piext was Lean 0.1 simplifier.
We are using a different approach in Lean 0.2.
The axiom is not needed anymore.
It is also not used in any part of the standard library
 2014-11-05 16:43:31 -08:00
Floris van Doorn
d8a616fa70 refactor(library): major changes in the library 
I made some major changes in the library. I wanted to wait with pushing
until I had finished the formalization of the slice functor, but for
some reason that is very hard to formalize, requiring a lot of casts and
manipulation of casts. So I've not finished that yet.

Changes:

- in multiple files make more use of variables

- move dependent congr_arg theorems to logic.cast and proof them using heq (which doesn't involve nested inductions and fewer casts).

- prove some more theorems involving heq, e.g. hcongr_arg3 (which do not
  require piext)

- in theorems where casts are used in the statement use eq.rec_on
  instead of eq.drec_on

- in category split basic into basic, functor and natural_transformation

- change the definition of functor to use fully bundled
categories. @avigad: this means that the file semisimplicial.lean will
also need changes (but I'm quite sure nothing major).  You want to
define the fully bundled category Delta, and use only fully bundled
categories (type and ᵒᵖ are notations for the fully bundled
Type_category and Opposite if you open namespace category.ops). If you
want I can make the changes.

- lots of minor changes
 2014-11-03 18:45:12 -08:00
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
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
c7f6a6b94e feat(library/definitional/cases_on): automatically add 'cases_on' 2014-10-25 17:22:02 -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
Leonardo de Moura
6c7e23ecaa refactor(library): use 'reserve' notation in the standard library 2014-10-21 15:39:47 -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
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
a26618e0f2 feat(frontends/lean): add '[]' notation for marking arguments where class-instance resolution should be applied 2014-10-12 13:06:00 -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
8f1b6178a7 chore(*): minimize the use of parameters 2014-10-09 07:13:06 -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
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
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
f78d831de3 refactor(frontends/lean): remove hardcoded Type', and define it using notation 2014-10-02 14:29:51 -07:00