Floris van Doorn
732897340d
fix(types): change some definitions to theorems
2015-09-11 23:35:21 -07:00
Floris van Doorn
fb364f8bc7
feat(types): add more equivalences between combinations of type constructors
2015-09-11 23:35:21 -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
bd3aa9cf54
feat(category): prove Theorem 9.5.9 from the HoTT book
2015-09-11 23:35:21 -07:00
Floris van Doorn
1a3b363467
feat(category): prove that the yoneda embedding is an embedding
2015-09-11 23:35:21 -07:00
Floris van Doorn
fd89aa77a3
feat(hott): prove Yoneda lemma
2015-09-11 23:35:21 -07:00
Floris van Doorn
817d691237
fix(hott/init/nat): also define ℕ in the top-level in HoTT
2015-09-11 23:35:21 -07:00
Leonardo de Moura
cae2271818
refactor(hott/algebra/category/adjoint): rewrite expensive proof
...
see #815
2015-09-01 16:59:14 -07:00
Floris van Doorn
a8964adb9c
fix(hott): make sure there are no sorry's visible
2015-09-01 15:17:46 -07:00
Floris van Doorn
7e52c49dce
feat(hott): many changes is the HoTT library
...
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
f555120428
feat(types/eq): add general encode-decode method
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
c24fd508b6
feat(hott/types): add more about pathovers in type constructors, prove that double negation elimination doesn't hold universally
2015-09-01 15:17:46 -07:00
Floris van Doorn
cfddfdfa84
feat(hott/types): add characterization of lift, prove that Type.{u} is not an hset
2015-09-01 15:17:46 -07:00
Leonardo de Moura
582dbecfd0
feat(library,hott): add notation T1 : T2 as syntax sugar for (focus (T1; all_goals T2))
...
closes #775
2015-08-08 10:16:25 -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
e51ba09a27
feat(hott): add types.sum, greatly expand types.prod, minor changes in types.sigma and types.pi
2015-08-07 13:34:41 -07:00
Floris van Doorn
3d2a6a08a4
feat(hott/nat): add characterization of equality in nat
2015-08-07 13:34:41 -07:00
Floris van Doorn
189293b5d4
fix(init.path): rename transport_compose to tr_compose
2015-08-07 13:34:41 -07:00
Floris van Doorn
d111607890
feat(hott): add file which maps sections of the HoTT book to the HoTT library
2015-08-07 13:34:41 -07:00
Floris van Doorn
f3ba81a19d
fix(init.path): a couple of small simplifications
2015-08-07 13:34:40 -07:00
Floris van Doorn
0ec525a8ee
feat(two_quotient): finish proof of elim_incl2
2015-08-07 13:34:40 -07:00
Floris van Doorn
11b1f416f6
feat(nat): add unfold attributes to add, mul, sub and of_num in namespace nat_esimp in both libraries
2015-08-04 13:23:20 +02:00
Floris van Doorn
747d12a385
feat(hott): prove characterization of a pathover in a pathover-type
2015-08-04 13:01:12 +02:00
Floris van Doorn
e198be318f
feat(circle): show that x = x in the circle is always Z
2015-08-04 13:01:11 +02:00
Floris van Doorn
7a780b1b60
feat(hott): various minor changes in the HoTT library
2015-08-04 13:01:11 +02:00
Leonardo de Moura
b3cd3efbb4
refactor(hott): fix "sorry"s at int/basic.hlean, and comment the remaining "sorry"s
2015-07-27 08:34:11 -07:00
Leonardo de Moura
e969c7a8d6
refactor(library): remove 'simp' hack
2015-07-22 10:13:19 -07:00
Leonardo de Moura
267545ca0c
feat(frontends/lean): parse 'with_options' tactical
...
see issue #492
2015-07-13 19:13:41 -04:00
Leonardo de Moura
6ab5cf214c
feat(library,hott): add simp tactic reference
2015-07-13 18:01:40 -04:00
Leonardo de Moura
38d5c361df
refactor(hott/types/trunc): remove unnecessary fold
...
The new unfold tactic performs the fold automatically for us.
see issue #692
2015-07-12 13:07:18 -04:00
Leonardo de Moura
584f9e3f49
fix(library/tactic/unfold_rec): support indexed families at unfold_rec
...
This commit also removes many (now unnecessary) folds from the HoTT
library.
See issue #692
We still have to implement support for recursive definitions based on
brec_on that recurse over inductive families.
2015-07-12 12:32:58 -04:00
Leonardo de Moura
a9515ac7a4
feat(library/tactic/rewrite_tactic): try to fold nested recursive applications after unfolding a recursive function
...
See issue #692 .
The implementation still has some rough spots.
It is not clear what the right semantic is.
Moreover, the folds in e_closure could not be eliminated automatically.
2015-07-08 21:19:18 -04:00
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
