Jeremy Avigad
5ef510f290
feat(library/logic/axioms/prop_complete): add by_cases, by_contradiction
2015-02-01 11:17:45 -08:00
Jeremy Avigad
003a2c1e2c
refactor(library/logic/axioms): rename files, import logic.axioms.classical now imports all classical axioms
2015-02-01 11:17:45 -08:00
Jeremy Avigad
ba15da8d83
refactor(library/init/reserved_notation): increase binding strength of ^-1 to max+10
2015-01-26 20:38:21 -05:00
Leonardo de Moura
8246feff67
refactor(library/logic/eq): cleanup proof
2015-01-13 17:12:21 -08:00
Leonardo de Moura
2e4a2451e6
refactor(library/reducible): simplify reducible/irreducible semantics
2015-01-08 18:52:18 -08:00
Jeremy Avigad
6ad091d7bf
refactor(library): clean up headers and markdown files
2014-12-22 15:33:42 -05:00
Jeremy Avigad
fe424add26
refactor(library/logic/axioms): rename theorems
2014-12-22 15:33:42 -05:00
Leonardo de Moura
abe129aa4f
refactor(library): rename theorems "iff.flip_sign -> not_iff_not_of_iff" and "decidable_iff_equiv -> decidable_of_decidable_of_iff"
2014-12-15 19:17:51 -08:00
Leonardo de Moura
5cf8064269
refactor(library): rename exists_elim and exists_intro to exists.elim
...
and exists.intro
2014-12-15 19:07:38 -08:00
Jeremy Avigad
da719e6ee4
refactor(library/logic): rename theorems
2014-12-15 16:13:04 -05:00
Jeremy Avigad
3e9a484851
refactor(library/logic/connectives): rename theorems
2014-12-15 15:05:44 -05:00
Leonardo de Moura
7c8ab81cc6
feat(library/logic/quantifiers): add decidable_forall_eq and decidable_exists_eq theorems
2014-12-13 15:48:04 -08:00
Leonardo de Moura
477d79ae47
refactor(library/init): move more theorems to logic
2014-12-12 13:50:53 -08:00
Leonardo de Moura
d6c8e23b03
refactor(library/init/logic): move theorems to library/logic
2014-12-12 13:24:17 -08:00
Leonardo de Moura
d50b7a8ba1
refactor(library/init/logic): move theorems to logic/cast
2014-12-12 12:39:16 -08:00
Leonardo de Moura
5d4b6a3de2
chore(library/logic/logic.md): adjust documentation
2014-11-30 21:19:56 -08:00
Leonardo de Moura
697d4359e3
refactor(library): add 'init' folder
2014-11-30 20:34:12 -08:00
Leonardo de Moura
dad94eafbe
refactor(data/nat/decl): use new naming convention at data/nat/decl.lean
2014-11-30 15:07:09 -08:00
Leonardo de Moura
f24eed50af
refactor(library/logic/heq): minor change
2014-11-30 13:52:34 -08:00
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
