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
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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
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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
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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
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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
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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
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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
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closes #645
2015-05-30 21:57:28 -07:00
Leonardo de Moura
6f6848968d
feat(frontends/lean/coercion_elaborator): "coercion lifting" for backtracking case
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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
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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
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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
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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
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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
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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
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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
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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
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closes #483
closes #492
2015-05-19 13:27:17 -07:00
Leonardo de Moura
e1c2340db2
fix(frontends/lean): consistent behavior for protected declarations
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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see issue #500
2015-05-01 12:45:21 -07:00
Leonardo de Moura
2d9c950144
feat(library/tactic/constructor_tactic): allow 'constructor' tactic without index
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see issue #500
2015-04-30 21:15:07 -07:00
Leonardo de Moura
d152f38518
feat(library/tactic): add 'constructor', 'split', 'left', 'right' and 'existsi' tactics
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see issue #500
2015-04-30 17:52:29 -07:00
Leonardo de Moura
1c6067bac2
feat(library/tactic): add 'exfalso' tactic
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see issue #500
2015-04-30 15:43:07 -07:00
Leonardo de Moura
9760968b45
refactor(library,hott): use/test new 'contradiction' tactic in the standard and hott libraries
2015-04-30 13:56:12 -07:00
Leonardo de Moura
9c8a63caec
feat(library/tactic): add 'contradiction' tactic
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see issue #500
Remark: this tactic also applies no_confusion to take care of a contradiction
2015-04-30 13:47:40 -07:00
Leonardo de Moura
3233008039
feat(library/tactic): allow user to name generalized term in the 'generalize' tactic
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closes #421
2015-04-30 11:57:40 -07:00
Leonardo de Moura
3912bc24c8
feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears'
2015-04-30 11:00:39 -07:00
Leonardo de Moura
e384894f7a
chore(hott/cubical/square): remove unnecessary annotations added in previous commit
2015-04-29 12:25:31 -07:00
Leonardo de Moura
b790ca9806
fix(library/tactic/rewrite_tactic): type check rewriting steps
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closes #550
2015-04-29 12:16:37 -07:00
Floris van Doorn
297d50378d
feat(hott): add definitions using truncations and theorems about them
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define embedding, (split) surjection, retraction, existential quantifier, 'or' connective
also add a whole bunch of theorems about these definitions
still has two sorry's which can be solved after #564 is closed
2015-04-29 10:04:07 -07:00
Floris van Doorn
15c2ee289f
feat(hott): make some fibrations in path.hlean implicit, and a bit of renaming in init
2015-04-29 10:04:07 -07:00
Floris van Doorn
5349839fa9
feat(hott): define pathovers and squares
2015-04-29 10:04:07 -07:00
Floris van Doorn
dbdb8e6050
feat(circle): prove the path computation rule for the circle
2015-04-29 10:04:07 -07:00
Floris van Doorn
c23e707874
feat(circle): define circle as sphere 1, remove all but 1 sorry
2015-04-29 10:04:07 -07:00
Floris van Doorn
6c061991cc
feat(hit): prove path computation rules for all hits except the circle
2015-04-29 10:04:07 -07:00
Floris van Doorn
70a2f6534c
feat(hit): derive path computation rule for elim and elim_type for every hit
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also make argument of eq_of_rel implicit
also remove most sorry's for hits
path computation rule for rec still needs to be done for all hits
2015-04-29 10:04:07 -07:00