Floris van Doorn
43cf2ad23d
style(hott): replace all other occurrences of hprop/hset
...
They are replaced by either Prop/Set or prop/set
2016-02-22 11:15:38 -08:00
Floris van Doorn
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
2016-02-22 11:15:38 -08:00
Floris van Doorn
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
2016-02-22 11:15:38 -08:00
Floris van Doorn
ecc141779a
feat(init.path): update init.path to use tactics, also some additions
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Now the file hardly uses eq.rec explicitly anymore.
Also add the fact that horizontal and vertical inverses of paths are equal
Make one more argument explicit in eq.cancel_left and eq.cancel_right (to make it nicer to write 'apply cancel_right p')
2016-02-22 11:15:38 -08:00
Leonardo de Moura
66a722ff5a
feat(library/unifier): remove "eager delta hack", use is_def_eq when delta-constraint does not have metavariables anymore
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The "eager-delta hack" was added to minimize problems in the interaction
between coercions and delta-constraints.
2016-01-03 12:39:32 -08:00
Floris van Doorn
c852f7bc71
feat(hott): use the induction tactic for trunc at some places
2015-12-17 12:46:16 -08:00
Floris van Doorn
2325d23f68
feat(hott): port nat and int from the standard library
2015-12-09 12:36:11 -08:00
Floris van Doorn
88a62f8e74
feat(algebra|types): small additions
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add to markdown file for algebra, and add some definitions in types/
2015-11-22 14:21:25 -08:00
Floris van Doorn
45d808ce7f
feat(homotopy/circle): give all higher homotopy groups of the circle
2015-11-22 14:21:25 -08:00
Floris van Doorn
47be1e3a15
feat(types/pointed): change definition of loop space
2015-11-16 21:32:09 -08:00
Floris van Doorn
3c4c722afd
feat(hott): port more from chapters 4 and 6 of the book
2015-09-28 09:09:21 -07:00
Floris van Doorn
e84b22864f
feat(hott): various changes in the HoTT library
2015-09-11 23:35:21 -07:00
Floris van Doorn
7e52c49dce
feat(hott): many changes is the HoTT library
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Prove that 'is_left_adjoint F' is a mere proposition, although this proof is commented out because it takes ~10 seconds
2015-09-01 15:17:46 -07:00
Floris van Doorn
f4892db432
feat(types.trunc): prove the principle of unique choice
2015-09-01 15:17:46 -07:00
Floris van Doorn
ad5cda48a8
refactor(hott): move cubical folder and files eq2, function and hprop_trunc from types/ to the root HoTT directory
2015-08-07 13:34:41 -07:00
Floris van Doorn
7a780b1b60
feat(hott): various minor changes in the HoTT library
2015-08-04 13:01:11 +02:00
Leonardo de Moura
38d5c361df
refactor(hott/types/trunc): remove unnecessary fold
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The new unfold tactic performs the fold automatically for us.
see issue #692
2015-07-12 13:07:18 -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
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
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
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
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
6ca9635d53
feat(hit.trunc): replace sorry by proof
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
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
90f1a691fd
feat(hott): change notation of transport to correspond with standard library
2015-05-07 16:39:03 -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
3912bc24c8
feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears'
2015-04-30 11:00:39 -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
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
e769fdd9dc
feat(hott): make some arguments in init.path implicit and rename apD to apd
2015-04-29 10:04:06 -07:00
Leonardo de Moura
75621df52b
feat(frontends/lean): uniform notation for lists in tactics
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closes #504
2015-03-27 17:54:48 -07:00
Floris van Doorn
3d7656078d
feat(hott/types): prove that 'is_equiv f' is an hprop
2015-03-04 00:22:51 -05:00
Floris van Doorn
1559e0e58c
feat(hott): some more renaming in category library
2015-02-28 01:16:23 -05:00
Floris van Doorn
f513538631
feat(hott): more cleanup of HoTT library
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remove funext class,
remove a couple of sorry's,
add characterization of equality in trunctypes,
use Jeremy's format for headers everywhere in the HoTT library,
continue working on Yoneda embedding
2015-02-26 13:19:54 -05:00
Floris van Doorn
9201bd7ca6
feat (hott/init): move nat.of_num to init.num and make it reducible outside namespace nat
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This is so that init.trunc can already use nat.of_num.
Also make nat.of_num reducible in the standard library
Also make gt and ge abbreviations
2015-02-26 12:28:57 -05:00
Leonardo de Moura
c04c610b7b
feat(frontends/lean): add 'assert H : A, ...' as notation for 'have H [visible] : A, ...'
2015-02-25 14:30:42 -08:00
Leonardo de Moura
1cd44e894b
feat(library/tactic/class_instance_synth): conservative class-instance resolution: expand only definitions marked as reducible
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closes #442
2015-02-24 16:12:35 -08:00
Leonardo de Moura
3846f5a4e7
refactor(hott): use nested begin-end blocks, use cases tactic
2015-02-24 13:27:57 -08:00
Floris van Doorn
61901cff81
feat(hott): rename definition and cleanup in HoTT library
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also add more definitions in types.pi, types.path, algebra.precategory
the (pre)category library still needs cleanup
authors of this commit: @avigad, @javra, @fpvandoorn
2015-02-20 21:40:42 -05:00
