Commit graph

319 commits

Author SHA1 Message Date
Leonardo de Moura
4b1b3e277f feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]'
see issue #693
2015-07-07 16:37:06 -07:00
Leonardo de Moura
68785b8bed fix(library/tactic/generalize_tactic): fixes #711 2015-06-26 19:35:30 -07:00
Leonardo de Moura
de90926eed refactor(hott): adjust HoTT library to new support for projections 2015-06-26 17:18:30 -07:00
Floris van Doorn
69f91bfd86 fix(types/nat/hott): workaround failed inductions 2015-06-25 23:13:47 -04:00
Floris van Doorn
24762fe843 feat(hit): add hits with 2-path constructors
In hit.two_quotient we define a general construction to define hits with 2-dimensional path constructors, similar to quotients.
We can add 2-paths between any two 'words', where a word consists of 1-path constructors, concatenation and inverses.
We use this to define the torus, reflexive quotients and the reduced suspension.

There is still one 'sorry' in the construction
2015-06-25 22:31:41 -04:00
Floris van Doorn
df3ce2b00b feat(types/eq2): add theorem about eq_of_con_inv_eq_idp 2015-06-25 22:31:41 -04:00
Floris van Doorn
c8eee66c5b feat(hott/relation): add equivalence closure of a relation 2015-06-25 22:31:41 -04:00
Floris van Doorn
b94b66243e feat(hott/types): add some theorems about operations of 2-paths 2015-06-25 22:31:41 -04:00
Floris van Doorn
ea0f57aef5 feat(hott): various clean-up and small additions 2015-06-25 22:31:40 -04:00
Floris van Doorn
2748525c21 feat(hit/susp): finish the proof that loop space is adjoint to the suspension 2015-06-25 22:31:40 -04:00
Floris van Doorn
124c9d3d8a feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed 2015-06-25 22:31:40 -04:00
Floris van Doorn
ac03bf7a4a feat(hott/nat): prove computation rule for cases by inequality 2015-06-25 22:31:40 -04:00
Floris van Doorn
0b9c8e14a4 fix(*/init/nat): fix occurrences where both theorem and [unfold-c] were used 2015-06-25 22:31:40 -04:00
Floris van Doorn
fa1979c128 feat(datatypes): let the type of unit be the lowest non-Prop universe
The definitional package (brec_on and cases_on) now use poly_unit instead of unit

closes #698
2015-06-25 17:33:46 -07:00
Leonardo de Moura
cfafc90cc0 refactor(hott,library): make sure files compile even without using "projection macros" 2015-06-22 12:22:11 -07:00
Leonardo de Moura
e382f7c2f9 refactor(hott/algebra/field): cleanup
use same definition used in the standard library.
2015-06-21 15:58:54 -07:00
Leonardo de Moura
5830d7d037 refactor(hott/algebra/category/yoneda): reduce compilation time using 'rewrite' tactic 2015-06-18 15:52:08 -07:00
Leonardo de Moura
a4c0699e81 feat(library/tactic/constructor_tactic): restore 'constructor' tactic old semantics, add 'fconstructor' tactic
See issue #676

Add new test demonstrating why it is useful to have the old semantics
for 'constructor'
2015-06-17 23:48:54 -07:00
Jeremy Avigad
6b36076ab5 feat({library,hott}/init/nat): add sub_le_succ 2015-06-15 22:53:11 +10:00
Jeremy Avigad
3b010b8c92 feat({library,hott}/algebra/group): add abbreviations e.g. for mul.cancel_left 2015-06-15 22:53:11 +10:00
Jeremy Avigad
a4a8253f50 refactor(library,hott,tests): rename succ_inj to succ.inj, add abbreviation eq_of_succ_eq_succ 2015-06-15 22:52:38 +10:00
Leonardo de Moura
62e1be897c test(hott/algebra/category): test new 'abstract ... end' expression in the HoTT library 2015-06-12 17:53:01 -07:00
Leonardo de Moura
8b7dc4e03a feat(frontends/lean): apply eta-reduction in postprocessing step
Perhaps, we should add an option to disable this new feature.

Remark: this commit makes commit 46d418a redundant.
I'm keeping 46d418a because we may retract this commit in the future.
2015-06-10 16:29:30 -07:00
Leonardo de Moura
01127061f5 refactor(hott/arity): cleanup 2015-06-10 15:45:46 -07:00
Leonardo de Moura
4b91cfccff feat(frontends/lean/builtin_exprs): make notation ( e : T ) builtin
In the previous approach, the following (definitionally equal) term was being generated

       (fun (A : Type) (a : A), a) T e
2015-06-10 14:52:59 -07:00
Floris van Doorn
f995e5ea48 fix(cubical): remove unused basic file 2015-06-04 20:21:52 -04:00
Floris van Doorn
ff41886a32 feat(nat/bquant): give instances for quantification bounded with le
also add theorems c_iff_c to logic/connectives, where c is a connective
2015-06-04 20:14:13 -04:00
Floris van Doorn
7f5caab694 feat(nat): redefine le and lt in the standard library 2015-06-04 20:14:13 -04:00
Floris van Doorn
ff01774fd7 renaming(hit): rename type_quotient to quotient, and quotient to set_quotient
This renaming is because type_quotient is a nonstandard name.  I've had a discussion with Egbert
Rijke, Steve Awodey and Dan Licata, and the consensus for a better name was 'quotient'.  I had to
make changes in src/kernel/hits/hits.cpp, I renamed g_type_quotient* by g_hit_quotient* (to avoid
name clash the standard library quotient, although I don't know whether that name clash would
matter).
2015-06-04 20:14:13 -04:00
Floris van Doorn
06528c4791 refactor(types): create cubical subfolder, update markdown files 2015-06-04 20:14:13 -04:00
Floris van Doorn
33e948d9d1 feat(hit/sphere): Prove that maps from S^n to an (n-1)-type are constant 2015-06-04 20:14:13 -04:00
Floris van Doorn
876aa20ad6 feat(hott): Port remainder of §6.3 and §7.2 from the HoTT book
Also prove a theorem similar to Lemma 7.3.1

There are still some sorry's in hit.suspension
2015-06-04 20:14:12 -04:00
Floris van Doorn
883b4fedb9 feat(hott): start with proof to characterize (is_trunc n A) using iterated loop spaces 2015-06-04 20:14:12 -04:00
Floris van Doorn
4117455e97 feat(hott): redefine nat.le and nat.lt
also some minor modifications in other files
2015-06-04 20:14:12 -04:00
Floris van Doorn
d4a991ef84 feat(hott): define cubes and cubeovers 2015-06-04 20:13:53 -04:00
Jeremy Avigad
fabdae6d54 refactor(hott/algebra/ring.lean,ordered_ring.lean): rename some theorems 2015-06-01 12:35:44 +10:00
Leonardo de Moura
ca110012d8 feat(library/tactic): automate "generalize-intro-induction/cases" idiom
closes #645
2015-05-30 21:57:28 -07:00
Leonardo de Moura
6f6848968d feat(frontends/lean/coercion_elaborator): "coercion lifting" for backtracking case
closes #252
2015-05-30 16:44:26 -07:00
Leonardo de Moura
00232e70d6 feat(hott,library): auxiliary theorems for simplifier 2015-05-27 16:35:56 -07:00
Leonardo de Moura
85409a59d3 feat(library/tactic/rewrite_tactic): add xrewrite and krewrite tactic variants
closes #511
2015-05-27 16:32:43 -07:00
Leonardo de Moura
dc6411b903 feat(library/inductive_unifier_plugin): restrict rule that was generating non-terminating behavior
see issue #632
2015-05-27 14:41:12 -07:00
Floris van Doorn
96a4a015d9 fix(hit): make the nondependent eliminator standard for hits 2015-05-26 21:37:02 -07:00
Floris van Doorn
43bcdd7994 feat(hott): remove sorry's in circle.hlean, characterize pathovers in degenerate pi's 2015-05-26 21:37:01 -07:00
Floris van Doorn
c64d73aae4 feat(types.nat): prove that inequalities on nat are mere propositions
Also some small changes in various other locations
2015-05-26 21:37:01 -07:00
Floris van Doorn
95e0fbb71a feat(hott): add interval and (start of) squareovers 2015-05-26 21:37:01 -07:00
Floris van Doorn
d7c1a8f2e0 feat(hott): small fixes in hit and cubical.square 2015-05-26 21:37:01 -07:00
Floris van Doorn
4a29f4bdd4 feat(types): incorporate pathovers in the files of the types folder
Conflicts:
	hott/cubical/pathover.hlean
2015-05-26 21:37:01 -07:00
Floris van Doorn
0b12d51b25 feat(hott): use pathovers in all the recursors of hits
move pathover file to the init folder
2015-05-26 21:37:01 -07:00
Floris van Doorn
54ed8a8e76 feat(hott): small changes in init and category 2015-05-26 21:37:01 -07:00
Floris van Doorn
40d5f83851 feat(hit): start using induction tactic 2015-05-26 21:37:01 -07:00
Floris van Doorn
50290fb81c feat(hott): add recursor attribute to hits
recursor attribute is added to both the dependent and nondependent elimination, is such a way that the dependent elimination is used by default
2015-05-26 21:37:01 -07:00
Floris van Doorn
8056f326d7 feat(reserved_notation): make is_typeof parsing-only, add ^ to HoTT 2015-05-26 21:37:01 -07:00
Jeremy Avigad
716da2488b fix(hott/*.md,library/*.md): use the word 'file' instead of 'module' 2015-05-25 16:50:42 -07:00
Leonardo de Moura
d0987eb3ac feat(library/tactic): add 'subtvars' tactic 2015-05-25 16:36:44 -07:00
Jeremy Avigad
33214f0895 refactor(hott/*): remove 'Module:' lines 2015-05-23 20:52:58 +10:00
Jeremy Avigad
d33c91d7b9 fix({hott,library}/algebra/*): fix names 2015-05-23 14:05:06 +10:00
Leonardo de Moura
c133d26505 feat(frontends/lean/builtin_exprs): change how 'show' is processed in tactics
Unresolved placeholders were not being reported
2015-05-19 16:23:50 -07:00
Leonardo de Moura
78ee055de8 feat(library/tactic): add induction tactic with support for user defined recursors
closes #483
closes #492
2015-05-19 13:27:17 -07:00
Leonardo de Moura
e1c2340db2 fix(frontends/lean): consistent behavior for protected declarations
see https://github.com/leanprover/lean/issues/604#issuecomment-103265608

closes #609
2015-05-18 22:35:18 -07:00
Floris van Doorn
c430d1d5ba feat(category.constructions): define comma category 2015-05-18 15:59:55 -07:00
Floris van Doorn
eedf1992bf feat(functor): prove sorry's, and shorten some proofs 2015-05-18 15:59:55 -07:00
Floris van Doorn
6ca9635d53 feat(hit.trunc): replace sorry by proof 2015-05-18 15:59:55 -07:00
Floris van Doorn
de6294a4ce feat(hott.core): add more files to core.hlean 2015-05-18 15:59:55 -07:00
Floris van Doorn
2144036cdb feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
Also many minor fixes at various places
2015-05-18 15:59:55 -07:00
Floris van Doorn
1597337c72 feat(path): add unfold-c attribute to definitions 2015-05-18 15:59:55 -07:00
Floris van Doorn
17a9bb4bc2 fix(types.W): clean-up W file, remove 'exit' 2015-05-18 15:59:54 -07:00
Leonardo de Moura
19361f0196 feat(library/unifier): do not fire type class resolution as last resort when type contains metavariables
see discussion at #604
2015-05-18 15:45:23 -07:00
Leonardo de Moura
b1ece388a6 feat(frontends/lean,library/tactic/induction_tactic): improve induction tactic notation, expand induction tactic implementation 2015-05-18 09:25:07 -07:00
Leonardo de Moura
065a1f7501 feat(library/tactic): add 'induction' tactic skeleton 2015-05-12 20:21:25 -07:00
Leonardo de Moura
396f77aa68 fix(library,hott): comment 'exit' commands to avoid warnings during compilation 2015-05-11 11:49:23 -07:00
Leonardo de Moura
379af8a04e feat(library): avoid 'definition' hack for theorems 2015-05-09 12:15:30 -07:00
Leonardo de Moura
6c958a25e7 refactor(library/tactic/expr_to_tactic): make sure builtin tactics don't need to be marked opaque
This modification is needed since we will remove opaque definitions from
the kernel.

see issue #576
2015-05-08 16:06:16 -07:00
Leonardo de Moura
0b57f7d00a refactor(library/tactic): refine interface between tactic and proof-term modes
Some constraints were being lost with the previous interface.
This is why we had a workaround in fintype.lean.

We can also remove some hacks we have used in the past.
2015-05-07 18:02:51 -07:00
Floris van Doorn
c2c7c4f79f feat(hit.circle): finish proof that (base = base) is equivalent to int 2015-05-07 16:39:04 -07:00
Floris van Doorn
111c8e1529 feat(hott): add [unfold-c] and [constructor] attributes for HITs 2015-05-07 16:39:04 -07:00
Floris van Doorn
9893de6194 feat(hit/circle): prove partly that the fundamental group of the circle is int
Also add markdown files for nat and int
2015-05-07 16:39:04 -07:00
Floris van Doorn
0a8f4f6dab feat(function): add unfold hints to function.[h]lean 2015-05-07 16:39:03 -07:00
Floris van Doorn
7cfac38eda feat(hott): port parts of natural numbers and integers from standard library to HoTT
This also involves:
- adding definitions about logic and natural numbers existing in the standard library to init
- porting the current algebraic hierarchy
2015-05-07 16:39:03 -07:00
Floris van Doorn
e9ff925e2f feat(pi): prove that forall x, a = x is a mere proposition 2015-05-07 16:39:03 -07:00
Floris van Doorn
e5241f84ec fix(init.datatypes): make empty live in Type.{0} 2015-05-07 16:39:03 -07:00
Floris van Doorn
90f1a691fd feat(hott): change notation of transport to correspond with standard library 2015-05-07 16:39:03 -07:00
Floris van Doorn
8b4756f9c8 feat(hott): port nat from standard library to HoTT library; make script to port files 2015-05-07 16:39:03 -07:00
Floris van Doorn
61c1cd6840 feat(hott.init): define core namespace 2015-05-07 16:39:03 -07:00
Floris van Doorn
6dfd7af0ec feat(hott.types): add theorems about booleans 2015-05-07 16:39:03 -07:00
Floris van Doorn
dce672a815 fix(hott.md): mention arity.hlean 2015-05-07 16:39:03 -07:00
Floris van Doorn
ce5f60d009 feat(hott.init.function): add more notions from the standard library 2015-05-07 16:39:03 -07:00
Floris van Doorn
43fb334914 feat(circle): prove loop != base 2015-05-07 16:39:03 -07:00
Floris van Doorn
e8e41ed745 fix(types.md): add all files, add some explanation 2015-05-07 16:39:03 -07:00
Leonardo de Moura
21ee0a5ff9 refactor(hott/algebra/category/constructions/functor): cleanup proof 2015-05-07 15:29:02 -07:00
Leonardo de Moura
b03266be70 feat(library/normalize,frontends/lean): rename '[unfold-m]' hint to '[constructor]', and allow it to be attached to constants
closes #587
2015-05-07 12:00:34 -07:00
Leonardo de Moura
741fca1e7b feat(hott/init/path): mark 'idp' and 'idpath' with '[unfold-m]' hint
closes #496
2015-05-04 14:29:22 -07:00
Leonardo de Moura
4e1146a2d5 refactor(hott,library): test new tactics in the HoTT and standard libraries 2015-05-02 22:22:31 -07:00
Leonardo de Moura
657ad3327f chore(hott): remove unnecessary '[trans]' attributes 2015-05-02 21:35:59 -07:00
Leonardo de Moura
b39fe17dee feat(library/tactic): add 'transitiviy', 'reflexivity' and 'symmetry' tactics
closes #500
2015-05-02 15:48:25 -07:00
Leonardo de Moura
cd17618f4a refactor(library): replace 'calc_trans', 'calc_symm', 'calc_refl' and 'calc_subst' commands with attributes '[symm]', '[refl]', '[trans]' and '[subst]'
These attributes are used by the calc command.
They will also be used by tactics such as 'reflexivity', 'symmetry' and
'transitivity'.

See issue #500
2015-05-02 15:15:35 -07:00
Leonardo de Moura
415ca2b93f feat(library/tactic): add 'congruence' tactic
It is the f_equal described at issue #500.
2015-05-02 12:58:46 -07:00
Leonardo de Moura
458d13025f refactor(library,hott): define 'congr' in the initialization files 2015-05-02 11:29:31 -07:00
Leonardo de Moura
ac8ba6a3cf feat(library/tactic): add 'subst' tactic
see issue #500
2015-05-01 19:31:24 -07:00
Leonardo de Moura
9ba8b284a1 fix(library/tactic/apply_tactic): add eapply, and fix issue #361 2015-05-01 15:08:00 -07:00
Leonardo de Moura
63eb155c7e feat(library/tactic): add 'injection' tactic
see issue #500
2015-05-01 12:45:21 -07:00