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]'
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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
Floris van Doorn
4173c958f7
feat(init.ua): add some useful consequences of ua
2015-04-29 10:04:07 -07:00
Floris van Doorn
40086d0084
feat(hott): standardize the naming of definitions proving equality of elements of a structure
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examples:
foo_eq : Pi {A B : foo}, _ -> A = B
foo_mk_eq : Pi _, foo.mk _ = foo.mk _ (if constructor is called "bar", then this becomes "bar_eq")
foo_eq_equiv : Pi {A B : foo}, (A = B) ≃ _
also changed priority of some instances of is_trunc
2015-04-29 10:04:06 -07:00
Floris van Doorn
b70841171a
fix(hott): rename retr and sect to right_inv and left_inv
2015-04-29 10:04:06 -07:00
Floris van Doorn
797a2d2047
refactor(category): merge precategory/ and category/, organize construction files differently.
2015-04-29 10:04:06 -07:00
Floris van Doorn
23e6a3131d
feat(precategory): add two redundant fields to precategory. Also some cleanup.
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In particular, all instances of "set_option apply.class_instance false" are removed
2015-04-29 10:04:06 -07:00
Floris van Doorn
48f1aff848
feat(hott): add hit-markdown file
2015-04-29 10:04:06 -07:00