Leonardo de Moura
9f7c4aac69
feat(library): add helper lemmas for equivalent types
2015-07-06 12:17:57 -07:00
Leonardo de Moura
77d5657813
refactor(library/algebra/function): move function.lean to init folder
...
Motivation: this file defines basic things such as function composition.
In the HoTT library, it is located in the init folder.
2015-07-06 07:29:56 -07:00
Jeremy Avigad
70e551c6d6
feat(library/algebra/order,library/data/nat/order,library/*): instantiate nat to lattice, add theorems
2015-06-29 15:23:11 +10:00
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
0b9c8e14a4
fix(*/init/nat): fix occurrences where both theorem and [unfold-c] were used
2015-06-25 22:31:40 -04:00
Leonardo de Moura
1b414d36e7
refactor(library/init): define prod as an inductive datatype
...
Motivation: prod is used internally in the definitional package.
If we define prod as a structure, then Lean will tag pr1 and pr2 as
projections. This creates problems when we add special support for
projections in the elaborator. The heuristics avoid some case-splits
that are currently performed, and without them some files break.
2015-06-25 17:59:06 -07:00
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
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
Leonardo de Moura
d43e0891ae
fix(library/init/logic): make sure library can be compiled using '--to_axiom' option
2015-06-16 13:10:08 -07:00
Leonardo de Moura
b80a391d63
fix(library/init/sigma): make sure file compiles even when '--to_axiom' is used
2015-06-16 12:52:08 -07:00
Jeremy Avigad
6b36076ab5
feat({library,hott}/init/nat): add sub_le_succ
2015-06-15 22:53:11 +10:00
Leonardo de Moura
4b91cfccff
feat(frontends/lean/builtin_exprs): make notation ( e : T )
builtin
...
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
Leonardo de Moura
17f2c240e1
refactor(library/init/wf): cleanup wf proofs using tactics
...
add dependent elimination for acc.
2015-06-06 16:58:24 -07:00
Leonardo de Moura
4d52d4c790
fix(library/init/quot): prove quot.exact
2015-06-05 08:04:55 -07:00
Floris van Doorn
dce257bccb
fix(init/nat): remove exit
2015-06-04 20:23:44 -04:00
Floris van Doorn
7f5caab694
feat(nat): redefine le and lt in the standard library
2015-06-04 20:14:13 -04:00
Leonardo de Moura
dce86b3a84
feat(library/init/logic): add 'eq.drec' (in standard Lean) with a signature very similar to eq.rec
in the HoTT library
2015-06-03 17:29:26 -07:00
Leonardo de Moura
70d0dea02d
feat(library/init/logic): add more congruence theorems
...
Remark: the simplifier should be able to select the "right" one.
2015-06-02 14:06:15 -07:00
Leonardo de Moura
2f9005827c
feat(library/init/logic): 'if-then-else' and 'dependent-if-then-else' congruence theorems
...
We will use these theorems to test the new simplifier.
2015-06-02 13:27:50 -07:00
Leonardo de Moura
e7448ca77e
feat(library/init/quot): add exists_rep theorem for quotients
2015-06-02 10:52:07 -07:00
Leonardo de Moura
1ea56038e3
feat(library/init/quot): add has_decidable_eq definition for quotients
2015-06-02 10:47:20 -07:00
Leonardo de Moura
ca110012d8
feat(library/tactic): automate "generalize-intro-induction/cases" idiom
...
closes #645
2015-05-30 21:57:28 -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
...
closes #511
2015-05-27 16:32:43 -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
Leonardo de Moura
4152ebfa23
refactor(library/data/nat): use new tactics
2015-05-25 18:14:52 -07:00
Jeremy Avigad
39129f112b
refactor(library/*): do various renamings
2015-05-25 16:50:42 -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
6db08c5519
test(library): test new tactics in the standard library
2015-05-25 16:48:33 -07:00
Leonardo de Moura
d0987eb3ac
feat(library/tactic): add 'subtvars' tactic
2015-05-25 16:36:44 -07:00
Leonardo de Moura
7e875c8d85
refactor(library): simplify theorems using improved tactics
2015-05-25 10:43:28 -07:00
Jeremy Avigad
8bebd104ff
refactor(library/*): remove 'Module:' lines
2015-05-23 20:52:23 +10:00
Jeremy Avigad
59c1801921
refactor(library/data/{list,set,finset}/basic.lean): make subset reserved notation
2015-05-23 12:34:07 +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
2144036cdb
feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
...
Also many minor fixes at various places
2015-05-18 15:59:55 -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
Jeremy Avigad
6dc1cfca3c
feat(library/init/nat.lean): add notation <= and >= for nat
2015-05-17 12:57:48 +10:00
Sebastian Ullrich
77c20e99ff
feat(library/tactic/inversion_tactic): consistent orientation of generated equalities
...
Generated equalities in proof irrelevant environments were inverted
compared with the documentation and the proof relevant case, which
resulted in newly generated local vars replacing equivalent old ones
instead of the other way around.
2015-05-14 23:32:54 +02:00
Jeremy Avigad
8de6a4bb4c
feat(library/algebra/group_pow.lean,library/data/nat/power.lean): add generic power operation on monoids and groups
2015-05-13 22:19:02 -07:00
Leonardo de Moura
065a1f7501
feat(library/tactic): add 'induction' tactic skeleton
2015-05-12 20:21:25 -07:00
Leonardo de Moura
379af8a04e
feat(library): avoid 'definition' hack for theorems
2015-05-09 12:15:30 -07:00
Leonardo de Moura
8086ad7461
feat(library/init): define quot.hrec_on and quot.hrec_on₂ based on heterogeneous equality
...
They are easier to use than the version with nested eq.rec's
2015-05-09 09:49:41 -07:00
Leonardo de Moura
4f0f739ea6
feat(library): remove occurrences of 'opaque' keyword
2015-05-08 16:40:03 -07:00
Leonardo de Moura
6c958a25e7
refactor(library/tactic/expr_to_tactic): make sure builtin tactics don't need to be marked opaque
...
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
aff9257c72
feat(frontends/lean): allow → to be used in calc proofs
...
see issue #586
2015-05-07 12:28:47 -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
...
closes #587
2015-05-07 12:00:34 -07:00
Leonardo de Moura
b39fe17dee
feat(library/tactic): add 'transitiviy', 'reflexivity' and 'symmetry' tactics
...
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
...
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
...
see issue #500
2015-05-01 19:31:24 -07:00
Leonardo de Moura
e8affed020
refactor(library): test new tactics in the standard library
2015-05-01 18:18:29 -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
...
see issue #500
2015-05-01 12:45:21 -07:00
Leonardo de Moura
1e18a76bdb
chore(library/init/nat): replace 'no_confusion' with 'by contradiction'
2015-04-30 21:26:52 -07:00
Leonardo de Moura
2d9c950144
feat(library/tactic/constructor_tactic): allow 'constructor' tactic without index
...
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
...
see issue #500
2015-04-30 17:52:29 -07:00
Leonardo de Moura
1c6067bac2
feat(library/tactic): add 'exfalso' tactic
...
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
...
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
...
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
f60dc8ae8f
refactor(library/init/nat): cleanup
2015-04-30 10:10:13 -07:00
Leonardo de Moura
018f768555
chore(library): remove some unnecessary parentheses
2015-04-29 14:39:59 -07:00
Leonardo de Moura
d2c7b5c319
feat(library/tactic): add 'let' tactic
...
closes #555
2015-04-28 17:24:43 -07:00
Leonardo de Moura
a23118d357
feat(frontends/lean): add tactic_notation command
...
This addresses the first part of issue #461
We still need support for tactic definitions
2015-04-27 17:46:13 -07:00
Leonardo de Moura
ca8943f45b
feat(library,hott): remove rapply tactic
2015-04-27 15:06:16 -07:00
Leonardo de Moura
072bf0b3b4
refactor(library): make sure "choose" compute inside the kernel
2015-04-25 23:10:48 -07:00
Leonardo de Moura
9d01868361
feat(frontends/lean): use rewrite tactic to implement unfold (it has a unfold step)
...
closes #502
2015-04-24 17:23:12 -07:00
Leonardo de Moura
2613e7c444
fix(frontends/lean): bug when handling identifiers in tactics
...
This bug was reported by Jeremy in the Lean Google group:
https://groups.google.com/forum/?utm_medium=email&utm_source=footer#!msg/lean-discuss/ZKJ8WPPEVJA/n05x6rPRzvMJ
2015-04-22 16:03:22 -07:00
Floris van Doorn
9d805437f0
fix(reserved_notation): lower binding power of 'iff'
2015-04-22 13:06:11 -07:00
Leonardo de Moura
670eac9d50
refactor(library): avoid 'context' command in the standard library
2015-04-21 19:13:19 -07:00
Leonardo de Moura
bf8a7eb9b4
fix(library/scoped_ext): bug in local metadata in sections
...
The problem is described in issue #554
2015-04-21 18:56:28 -07:00
Leonardo de Moura
6f6d106a10
feat(library/tactic): add "check_expr" tactic
...
closes #486
2015-04-19 19:00:05 -07:00
Jeremy Avigad
dfaeb475cc
feat(library/init/reserved_notation.lean): add equiv relation symbol
2015-04-18 11:39:52 -07:00
Leonardo de Moura
cc63a40a01
feat(library): enforce name conventions on old nat declarations
2015-04-18 10:50:30 -07:00
Leonardo de Moura
a24d4e47cd
feat(library/init/nat): add missing decidable_ge and decidable_lt
2015-04-14 09:01:15 -07:00
Leonardo de Moura
3edf0dffdf
feat(library/data/finset): define subset for finsets
2015-04-11 15:29:12 -07:00
Floris van Doorn
d1b98b6919
fix(reserved_notation): make is_typeof an abbreviation
2015-04-10 06:35:15 -07:00
Jeremy Avigad
1f4ddd7a0f
refactor(library/init/funext.lean): break out definition of equivalence, and hide auxiliary theorems
2015-04-08 09:46:34 -07:00
Leonardo de Moura
1d87016f03
refactor(library): move some theorems to init
2015-04-07 07:46:11 -07:00
Leonardo de Moura
2bc13f6bfd
feat(library/tactic/exact): enforce goal type during elaboration when executing 'exact' tactic
...
Remark: this was the behavior of the 'sexact' tactic.
This commit also adds the 'rexact' (relaxed exact) tactic which does not
enforce the goal type.
closes #495
2015-04-06 13:23:38 -07:00
Leonardo de Moura
754276a660
feat(frontends/lean): round parenthesis for [tactic1 | tactic2]
...
This commit also replaces the notation for divides
`(` a `|` b `)`
with
a `∣` b
The character `∣` is entered by typing \|
closes #516
2015-04-06 09:24:09 -07:00
Jeremy Avigad
74ff43a543
refactor(library/init/{funext,quot}.lean): adjust comments and headers
2015-04-05 10:11:53 -04:00
Leonardo de Moura
4ec0e1b07c
feat(frontends/lean): improve calc mode
...
Now, it automatically supports transitivity of the form
(R a b) -> (b = c) -> R a c
(a = b) -> (R b c) -> R a c
closes #507
2015-04-04 08:58:35 -07:00
Leonardo de Moura
44ba0e10c0
feat(library/init/logic): add rewrite rules for decidable
2015-04-02 23:31:40 -07:00
Leonardo de Moura
7b64a47221
refactor(library/init): add auxiliary function mk_equivalence
2015-04-01 17:30:20 -07:00
Leonardo de Moura
4fcb560ea7
feat(library/init/funext): add subsingleton_pi instance using funext
2015-04-01 13:05:05 -07:00
Leonardo de Moura
ced742083a
feat(library/init/quot): add helper function quot.rec_on_subsingleton₂
2015-04-01 13:04:41 -07:00
Leonardo de Moura
ed1acd9fb0
feat(library/init): move propext to init/quot, add Jeremy's funext theorem
2015-04-01 12:36:33 -07:00
Leonardo de Moura
0da4f191fc
feat(library/init/quot): add rec_on for subsingleton types
2015-04-01 11:57:39 -07:00
Leonardo de Moura
ce5e83eb3e
refactor(library/init): move subsingleton to init folder
2015-04-01 11:57:29 -07:00
Leonardo de Moura
b960e123b1
feat(kernel): add experimental support for quotient types
2015-03-31 22:04:16 -07:00
Leonardo de Moura
a52cb009dc
refactor(library): reorganize init folder and add setoid
2015-03-31 19:56:05 -07:00
Leonardo de Moura
ec1a60b02c
feat(library/init/logic): add helper function for proving decidable equality
2015-03-30 02:14:26 -07:00
Leonardo de Moura
75621df52b
feat(frontends/lean): uniform notation for lists in tactics
...
closes #504
2015-03-27 17:54:48 -07:00
Jeremy Avigad
e019ab5500
fix(library/init/logic.lean): rename inhabited_imp_nonempty
2015-03-25 18:29:06 -07:00
Leonardo de Moura
b9e3c474c9
feat(library/tactic): add all_goals tactic
...
closes #501
2015-03-25 17:42:34 -07:00
Leonardo de Moura
74b28f6ad9
feat(library,hott): new notation for typeof
2015-03-24 18:35:21 -07:00
Leonardo de Moura
1490bdad49
feat(frontends/lean): add version of 'exact' tactic (sexact) that enforces goal type during term elaboration
2015-03-06 17:34:45 -08:00