Leonardo de Moura
dbb3b7c72a
refactor(library/data/nat/sub): cleanup 'max' theorems
2014-11-18 17:56:42 -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
99c30db805
feat(library/data/fin): add fin type
2014-11-17 23:44:57 -08:00
Leonardo de Moura
e2ceb86884
feat(library/data/nat/order): add calc_trans commands for lt and le
2014-11-17 23:44:27 -08:00
Leonardo de Moura
5dc42762de
feat(library/data): define 'nat.addl' addition using recursion on the first argument, prove it to be equivalent to 'add', and use it to define vector.append
2014-11-17 22:03:39 -08:00
Leonardo de Moura
3cd3da5a84
refactor(library/data/prod/wf): remove duplication, and import wf's for sigma and prod
2014-11-16 21:19:10 -08:00
Leonardo de Moura
b7725c2949
feat(library/data/sigma/wf): define 'lex' for 'sigma' types and prove wf theorem
2014-11-16 20:08:52 -08:00
Leonardo de Moura
dd0b1ecdbf
refactor(library/data/sigma): break file into smaller pieces to reduce dependencies
2014-11-16 18:22:03 -08:00
Leonardo de Moura
53ac754328
refactor(library/data/option): cleanup using 'no_confusion'
2014-11-16 17:56:51 -08:00
Leonardo de Moura
de209f929e
feat(library/data/prod/wf): define relational product and prove wf theorem for it
2014-11-16 17:47:07 -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
b5404cd979
refactor(library/data/vector): cleanup, use variables, add concat
2014-11-15 22:36:52 -08:00
Leonardo de Moura
85f24e4c80
feat(library/data/vector): add 'zip' and 'unzip' functions
2014-11-15 22:19:23 -08:00
Leonardo de Moura
a7adfde84f
feat(library/data/vector): use 'mechanical' definitions, and add 'last' function
...
The 'mechanical' definitions are "mimicking" what the definitional
package will do.
2014-11-15 20:21:18 -08:00
Leonardo de Moura
e7a7458922
feat(library/general_notation): reserve unary minus
2014-11-13 22:08:20 -08:00
Leonardo de Moura
6bc89f0916
feat(library/definitional): define ibelow and below
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These are helper definitions for brec_on and binduction_on
2014-11-12 16:38:46 -08:00
Leonardo de Moura
ef5a3e83ad
feat(library/data/vector): expand 'vector' module
2014-11-11 22:33:47 -08:00
Leonardo de Moura
21b93bd2e5
chore(library/data/prod/wf): remove dependency on opaque theorem
2014-11-11 00:39:53 -08:00
Leonardo de Moura
54213b48dc
feat(library/data/prod/wf): lex of well-founded relations is well-founded
2014-11-11 00:29:21 -08:00
Leonardo de Moura
76711d00c1
feat(library/data/nat/wf): define measure using inverse image
2014-11-11 00:28:46 -08:00
Leonardo de Moura
4623a62ec3
feat(library/data/nat/wf): predecessor relation is well-founded
2014-11-10 22:15:15 -08:00
Leonardo de Moura
189e5e6b48
refactor(library/data/nat/wf): mark theorem as transparent
...
It doesn't really help since
le_imp_lt_or_eq, succ_le_cancel, lt_imp_le_succ and or.elim
are still opaque
2014-11-10 12:52:02 -08:00
Floris van Doorn
780e949992
feat(empty): define negation of types
2014-11-08 19:12:54 -08:00
Leonardo de Moura
b97d437011
refactor(library/data/nat/basic): use no_confusion
construction to simplify proofs
2014-11-08 19:00:40 -08:00
Leonardo de Moura
ac5a963db3
refactor(library/data/sum): use no_confusion
construction to simplify proofs
2014-11-08 18:58:56 -08:00
Leonardo de Moura
46149d0d50
refactor(library/data/prod): break into pieces to reduce dependencies
...
prod is needed for some automatically generated constructions.
So, it is important it is loaded in the environment as early as possible.
2014-11-08 10:19:29 -08:00
Leonardo de Moura
64d2cc60c2
feat(library/data/nat/wf): add nat.lt is well founded theorem
2014-11-07 10:48:31 -08:00
Leonardo de Moura
f16f215c2a
refactor(data/num/string): break into pieces to reduce dependencies
2014-11-07 08:53:14 -08:00
Leonardo de Moura
fd34fd17de
refactor(library/data/bool): break into pieces to reduce dependencies
2014-11-07 08:41:14 -08:00
Leonardo de Moura
e993486301
refactor(library/data/num): break into pieces to reduce dependencies
2014-11-07 08:24:29 -08:00
Leonardo de Moura
60eac0195d
feat(frontends/lean/structure_cmd): generate projection over constructor theorems for structures
2014-11-04 09:10:25 -08:00
Leonardo de Moura
b24165dc7b
feat(frontends/lean/structure_cmd): remove 'cases_on' for structures since it may confuse users, add 'destruct' as alternative name for 'rec_on'
2014-11-03 23:06:33 -08:00
Leonardo de Moura
d2b5af237e
refactor(library): use new 'structure' command to define prod and sigma
2014-11-03 18:57:55 -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
ae9d11c9c4
refactor(library/data): rename prod_ext and dpair_ext to prod.eta and sigma.eta
...
Reason: they will be generated automatically by definitional package.
2014-11-03 08:29:05 -08:00
Leonardo de Moura
8d3e9fdc20
refactor(library/data/nat/basic): remove unnecessary {}
2014-10-31 09:49:45 -07:00
Leonardo de Moura
8a4d4409cd
feat(frontends/lean/calc_proof_elaborator): add '{...⁻¹}' if needed in calc proofs, closes #268
...
This commit also simplifies library/data/nat/basic.lean
2014-10-31 01:02:49 -07:00
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
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
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
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
e24225fabf
feat(frontends/lean): validate infixl/infixr/postfix/prefix declarations against reserved notations
2014-10-21 15:39:47 -07:00