Floris van Doorn
ac03bf7a4a
feat(hott/nat): prove computation rule for cases by inequality
2015-06-25 22:31:40 -04:00
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
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
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
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
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
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +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
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
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
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
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
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
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
4e1146a2d5
refactor(hott,library): test new tactics in the HoTT and standard libraries
2015-05-02 22:22:31 -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
5349839fa9
feat(hott): define pathovers and squares
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
