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1296 commits

Author SHA1 Message Date
Haitao Zhang
5034de9c4e feat(library/data/nat/power): add nat power divide theorems 2015-07-13 22:02:17 -04:00
Haitao Zhang
fae8176363 feat(library/data/list/comb): add map theorems 2015-07-13 22:02:17 -04:00
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
ebe6ec0017 feat(library): add '[rewrite]' annotation some some theorems 2015-07-13 16:39:53 -04:00
Leonardo de Moura
1881ad0aef feat(library/logic/weak_fan): add weak_fan theorem 2015-07-13 10:18:12 -04:00
Leonardo de Moura
ea62a27b6b feat(library/data/stream): define lex-order for streams 2015-07-12 16:55:04 -04:00
Jeremy Avigad
98cace9bf8 fix(library/data/finset/bigops): remove extraneous parameter 2015-07-11 19:01:44 -04:00
Jeremy Avigad
9810105a2a refactor(library/data/finste/basic): rename non_empty_of_card_succ to ne_empty_of_card_eq_succ 2015-07-11 19:01:44 -04:00
Jeremy Avigad
d443b25dee fix(library/data/{finset,set}/basic: change notation from {[a, b, c]} to '{a, b, c} 2015-07-11 19:01:44 -04:00
Jeremy Avigad
e8ad284ead feat(library/data/finset/{bigops,comb}): add two theorems for Haitao 2015-07-11 19:01:43 -04:00
Jeremy Avigad
70407473c2 feat(library/theories/combinatorics/choose): begin theory of binomial coefficients 2015-07-11 19:01:43 -04:00
Leonardo de Moura
8e8e08cfe7 feat(library/tactic): use occurrence object in unfold tactic family 2015-07-11 18:53:45 -04:00
Leonardo de Moura
d939509135 doc(library/data/nat/examples): add tail recursive fib example 2015-07-10 20:38:07 -04:00
Leonardo de Moura
fc82b46171 chore(library/data/nat/examples/fib): cleanup example 2015-07-10 08:18:30 -04:00
Leonardo de Moura
32cc2e917b doc(library/data/nat/examples): add examples 2015-07-09 21:56:48 -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
Jeremy Avigad
7f1993be41 feat(library/theories/number_theory/prime_factorization): begin theory, with multiplicity and prime_factors 2015-07-07 21:05:48 -07:00
Jeremy Avigad
ac7f7cee63 refactor(library/theories/number_theory/primes): add some minor theorems, and rename some theorems 2015-07-07 21:05:48 -07:00
Jeremy Avigad
d9098ff4e5 fix(library/theories/number_theory/bezout): make duplicate proof of prime -> irreducible an example 2015-07-07 21:05:48 -07:00
Jeremy Avigad
2e3b1b04cd feat(library/algebra/ring_power): add properties of power in ring structures 2015-07-07 21:05:48 -07:00
Jeremy Avigad
31aeff95d5 refactor(library/algebra/ordered_ring): remove 0 ~= 1 from ordered_semiring, add 0 < 1 to linear_ordered_semiring 2015-07-07 21:05:48 -07:00
Jeremy Avigad
e35f05ad47 feat(library/data/nat/order): add greatest i < n st P i 2015-07-07 21:05:48 -07:00
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
0828ca775c feat(library/data): add type equivalence lemmas for subtype and vector 2015-07-06 12:44:51 -07:00
Leonardo de Moura
9f7c4aac69 feat(library): add helper lemmas for equivalent types 2015-07-06 12:17:57 -07:00
Leonardo de Moura
01ba0b4747 feat(library/logic/equiv): add equivalence between types 
This is a good test for the simplifier
 2015-07-06 11:17:03 -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
Leonardo de Moura
9ccd8ff700 feat(library/data/nat/parity): cleanup proofs 2015-07-05 09:35:15 -07:00
Leonardo de Moura
db1fae0461 feat(library/theories/number_theory/primes): cleanup proofs 2015-07-05 08:21:16 -07:00
Leonardo de Moura
d1b5a6be54 feat(library/theories/number_theory/primes): add Haitao's divisor_of_prime_pow lemma 2015-07-04 13:27:10 -07:00
François G. Dorais
10b55bd785 feat(library/data/fin): add proof of finite choice 2015-07-04 09:58:18 -07:00
Leonardo de Moura
f4f77e7f0b feat(library): move data/nat/primes to theories/number_theory 2015-07-04 09:49:14 -07:00
Jeremy Avigad
a776e13c3b feat(library/theories/number_theory/bezout): for nat, irreducible implies prime 2015-07-04 22:56:55 +10:00
Leonardo de Moura
aee8bd8b0c feat(library/data/nat): add coprime_primes theorem 2015-07-04 00:37:09 -07:00
Leonardo de Moura
e630511184 feat(library/data/nat/primes): add more simple theorems for primes 2015-07-03 23:31:04 -07:00
Leonardo de Moura
30ef971bc0 feat(library/data/nat): add basic facts about parity 2015-07-03 17:38:23 -07:00
Leonardo de Moura
1bdc9e0747 feat(library/data/finset/card): add dvd_Sum_of_dvd 2015-07-03 14:01:15 -07:00
Leonardo de Moura
339a7334f8 feat(library/data/finset/card): add exists_two_of_card_gt_one 2015-07-03 14:01:15 -07:00
Leonardo de Moura
aa2a5b6282 feat(library/data/nat/primes): add infinite primes theorem 2015-07-03 00:31:54 -07:00
Leonardo de Moura
372d17ab96 refactor(library/data/nat/primes): rename is_prime to prime 2015-07-02 23:21:10 -07:00
Leonardo de Moura
d76edf331b feat(library/data/nat/bquant): add not bex and not ball lemmas 2015-07-02 23:18:02 -07:00
Leonardo de Moura
e811bb1a66 chore(library/data/nat/default): add new files to nat/default 2015-07-02 22:28:51 -07:00
Leonardo de Moura
5917a26554 feat(library/data/nat/primes): add is_prime 2015-07-02 22:27:51 -07:00
Leonardo de Moura
072fa7ec49 feat(library/data/nat): add aux lemmas 2015-07-02 22:27:21 -07:00
Leonardo de Moura
e33946ff02 feat(library/data/nat/fact): define factorial 2015-07-02 20:25:34 -07:00
Leonardo de Moura
4ae9f3ea81 feat(library/coercion): new coercion manager 
closes #668
 2015-07-01 16:32:34 -07:00
Leonardo de Moura
0f64a6e545 feat(library/data/rat/order): use 'trans-instance' to improve performance of migrate command 2015-07-01 08:57:10 -07:00
Leonardo de Moura
14f7e3de94 fix(library/algebra): missing file 2015-06-30 18:15:13 -07:00
Leonardo de Moura
cf574d0127 feat(library): assign priorities to notation declarations in the standard library 
Now, even if the user opens the namespaces in the "wrong" order, the
notation + coercions will behave as expected.
 2015-06-30 17:38:13 -07:00
Leonardo de Moura
b5444c1314 refactor(frontends/lean/builtin_cmds): allow "constant" edges in the instance transitive closure graph 2015-06-29 18:57:05 -07:00
Jeremy Avigad
e6ce5d9b72 refactor(library/data/fin): put fin.val coercion in fin namespace 2015-06-29 21:24:38 +10:00
Jeremy Avigad
a54fb42f87 refactor(library/data/int/basic): put int.of_nat coercion in int namespace 2015-06-29 21:00:42 +10:00
Jeremy Avigad
130eb3f6d9 fix(library/data/int/basic): change notation from -[n+1] to -[1+n] to avoid conflict e.g. with -[coercions] 2015-06-29 15:23:11 +10:00
Jeremy Avigad
3bf18c174e feat(library/algebra/ordered_group): define abs in terms of max, make some theorems constructively valid 2015-06-29 15:23:11 +10:00
Jeremy Avigad
b19331f28f feat(library/data/nat/order): add theorems for max and min 2015-06-29 15:23:11 +10:00
Jeremy Avigad
1a164d8fc9 feat(library/algebra/ordered_group): add theorems for max and min 2015-06-29 15:23:11 +10:00
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
Jeremy Avigad
93e5124d71 feat(library/algebra/order): add lattices, min, max 2015-06-29 15:23:11 +10:00
Jeremy Avigad
0d25831111 refactor(library/algebra/order): cleanup, and remove unused class 2015-06-29 15:23:11 +10:00
Leonardo de Moura
52564ecc0f refactor(library/algebra/group_power): open namespaces in the "right" order 2015-06-27 14:51:00 -07:00
Leonardo de Moura
ca0aa4eb47 feat(library/composition_manager): simplify compositions of the form (mk ... (proj (mk ...)) ...) 
closes #666
 2015-06-27 14:07:32 -07:00
Leonardo de Moura
3cd81051c6 refactor(library/data/real/division): remove unnecessary 'xrewrite' 2015-06-27 14:07:32 -07:00
Leonardo de Moura
3215af3926 feat(frontends/lean): add '[trans-instance]' attribute 
see issue #666
 2015-06-27 14:07:29 -07:00
Jeremy Avigad
54128eb45f feat(library/theories/number_theory/bezout): add Bezout's theorem, adapted from William Peterson's project 2015-06-27 19:13:36 +10:00
Jeremy Avigad
f8d8a2aed6 feat(library/data/nat/div): add characterization of mod 2015-06-27 18:51:44 +10:00
Jeremy Avigad
829c3fb22c refactor(library/data/int/div): reorient of_nat_div and of_nat_mod 2015-06-27 18:47:36 +10:00
Jeremy Avigad
7c118f40fe feat(library/data/nat/sub): add calculation facts for sub 2015-06-27 18:41:57 +10:00
Leonardo de Moura
97b3fd45ce fix(library/logic/axioms/prop_decidable): fixes #704 2015-06-26 19:14:36 -07:00
Leonardo de Moura
a2cbf3dbca refactor(library/data/fin): adjust proofs to support new approach for projections 2015-06-26 17:18:29 -07:00
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
Leonardo de Moura
d2e64d30e8 refactor(library/data/quotient): make proofs more robust 2015-06-25 17:48:58 -07:00
Leonardo de Moura
c9f3b766f8 refactor(library/algebra/category/constructions): modify proof 
It was affected by the new way of handling projections that we will implement
 2015-06-25 17:48:26 -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
Jeremy Avigad
a0461262d0 feat(library/data/real/*.lean): migrate theorems from algebra 2015-06-25 17:30:12 -07:00
Rob Lewis
4161b9ccbf feat(library/data/real): rearrange constant sequence theorems to introduce rat coercion earlier. begin migrating theorems from algebra 2015-06-25 17:30:12 -07:00
Rob Lewis
82950e1c52 chore(library/algebra/ordered_field): remove redundant line in calc 2015-06-25 17:30:12 -07:00
Rob Lewis
afcf785f03 chore(library/data): update data.md 2015-06-25 17:30:12 -07:00
Leonardo de Moura
8967f57818 refactor(library/data/list): reduce reliance on definitional equality 2015-06-24 15:58:19 -07:00
Leonardo de Moura
018518f0cf refactor(library/algebra/ring): more robust proofs 2015-06-22 15:31:03 -07:00
Leonardo de Moura
7ffabeb245 refactor(library/algebra/group): avoid abuse of rewrite tactic 
The two instances are relying on the fact that (a - b) reduces to (a + -b)
 2015-06-22 15:11:14 -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
Jeremy Avigad
d28eb919f1 refactor(library/logic/axioms/examples/diaconescu.lean): mild reformatting, to match tutorial 2015-06-20 21:13:00 -07:00
Jeremy Avigad
7d204fdd91 refactor(library/data/finset/card.lean): add useful facts, shorter proof of eq_card_of_eq_subset 2015-06-20 21:13:00 -07:00
Leonardo de Moura
ee0d919c6f feat(library/data/finset/card): add eq_of_card_eq_of_subset theorem 2015-06-19 20:05:32 -07:00
Leonardo de Moura
2910c780d0 feat(library/data/finset/basic): add auxiliary card lemma 2015-06-19 20:05:32 -07:00
Leonardo de Moura
4246a64913 feat(library/data/finset/basic): add more theorems for finset erase 2015-06-19 20:05:32 -07:00
Leonardo de Moura
5f293cee9c refactor(library/algebra/ordered_field): improve compilation time 2015-06-18 16:12:24 -07:00
Leonardo de Moura
70fc05294b refactor(library/local_context): avoid hack in local_context 2015-06-18 15:41:00 -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
d12b5613c6 feat(library/data/set): show that (set A) is a comm_semiring 2015-06-17 09:53:50 -07:00
Haitao Zhang
1aff1f7cde fix(library/data/fintype/function): make inj_of_nodup and nodup_of_inj more general 2015-06-16 19:17:53 -07:00
Haitao Zhang
8817042318 feat(library/data/fin) : establish add_comm_group on fin using madd 2015-06-16 16:38:47 -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
Rob Lewis
a72ca936c0 chore(library/real): replace theorems with versions from algebra 2015-06-16 11:30:12 -07:00
Rob Lewis
f7ab2780d4 feat(library/algebra): move more theorems from reals to algebra) 2015-06-16 11:30:12 -07:00
Rob Lewis
b94d0a948d chore(library/data/real): replace theorems with more general versions from algebra 2015-06-16 11:30:12 -07:00
Rob Lewis
b23e23061f feat(library/algebra): finish/move more general theorems from reals to algebra) 2015-06-16 11:30:12 -07:00
Rob Lewis
8d0518444d chore(library/data/{pnat, real}): rename pnat theorems 2015-06-16 11:30:12 -07:00
Rob Lewis
ff0ba6687e feat(library/algebra/ordered_field): move identity about abs to ordered_field 2015-06-16 11:30:12 -07:00
Rob Lewis
090f00458d chore(library/data/real): remove redundant theorems 2015-06-16 11:30:12 -07:00
Rob Lewis
34868d196e feat(library/data/rat): define pos natural upper bounds of rationals 2015-06-16 11:30:12 -07:00
Rob Lewis
1f4765e30a feat(library/algebra/ordered_ring): add theorems used for rational upper bounds 2015-06-16 11:30:12 -07:00
Rob Lewis
cf7c85e5fd feat(library/data/real): fill in lots of sorrys about pnats 2015-06-16 11:30:12 -07:00
Rob Lewis
4b38e14586 feat(library/algebra/ordered_field): add a couple missing theorems to ordered_field 2015-06-16 11:30:12 -07:00
Rob Lewis
a79ec6b0d4 feat(library/data/pnat): move facts about positive nats to their own file 2015-06-16 11:30:12 -07:00
Jeremy Avigad
9249ebdaab feat(library/data/{nat,int}/div.lean): add properties of add and mod 2015-06-15 22:53:11 +10:00
Jeremy Avigad
6b36076ab5 feat({library,hott}/init/nat): add sub_le_succ 2015-06-15 22:53:11 +10:00
Jeremy Avigad
3b010b8c92 feat({library,hott}/algebra/group): add abbreviations e.g. for mul.cancel_left 2015-06-15 22:53:11 +10:00
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
Haitao Zhang
679bb8b862 feat(library/data/fin): add more theorems on finite ordinals 
Add defintional equalities, properties of lifting and lowering functions, and definitions of madd.
 2015-06-14 20:49:47 -07:00
Haitao Zhang
844d59c2ae feat(library/data/fintype/function): add theorems of all nodup lists and all injective functions 2015-06-14 20:49:47 -07:00
Leonardo de Moura
ff5022c2f4 feat(library/data/axioms): add 'type_decidable' 
In Lean standard mode, Hilbert choice implies that all types are
decidable.
 2015-06-14 17:33:22 -07:00
Haitao Zhang
ef4b4d19ce feat(library/data/list/basic): add cons related equalities 2015-06-14 16:59:56 -07:00
Haitao Zhang
798b240149 fix(library/data/list/comb): adjust dmap related names to comply with convention 2015-06-14 16:59:56 -07:00
Haitao Zhang
6105263222 feat(library/data/list/comb): add theorem on dmap and adjust names 2015-06-11 15:29:52 -07:00
Haitao Zhang
1a9521dc9c fix(library/data/fintype/function): convert line endings from crlf to lf 2015-06-11 15:29:43 -07:00
Leonardo de Moura
1b5d1136d9 refactor(library/data/finset/card): remove unnecessary xrewrite 
We can use the default 'rewrite' tactic after the commits pushed today.
 2015-06-10 18:46:16 -07:00
Leonardo de Moura
dc8768627c refactor(library/data/fintype/function): cleanup proof 2015-06-10 18:21:15 -07:00
Leonardo de Moura
8fbe22f263 refactor(library/data/finset/basic): cleanup proof 2015-06-10 18:19:16 -07:00
Leonardo de Moura
226a5800dd fix(library/data/rat/order): adjust file to recent changes 2015-06-10 16:56:17 -07:00
Jeremy Avigad
3c1f5f4e33 feat(library/data/{set,finset}): add more cardinality facts, rename, and add a lemma from Haitao 2015-06-10 16:39:17 -07:00
Jeremy Avigad
658c5a2c49 feat(library/rat/basic.lean): add reduce for rat, and num and denom 2015-06-10 16:39:17 -07:00
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
1bffb89126 fix(library/algebra/function): lean was failing to infer that injective is a decidable predicate for finite types with decidable equality 
This is an issue reported by Haitao.
 2015-06-09 15:30:58 -07:00
Rob Lewis
d287b20018 chore(library/data/real): move more lemmas to algebra 2015-06-09 16:27:55 +10:00
Rob Lewis
01f0bb827c feat(library/data/real): use new algebra lemmas in completeness proof 2015-06-09 16:14:52 +10:00
Rob Lewis
7822ba9dee feat(library/algebra): add lemmas to group and ordered group 2015-06-09 16:14:21 +10:00
Rob Lewis
b1aea149db chore(library/data/real): update md 2015-06-09 15:43:43 +10:00
Rob Lewis
e112468f99 feat(library/data/real): prove reals are Cauchy complete 2015-06-09 15:39:51 +10:00
Rob Lewis
3749a8ad04 chore(library/data/real): update real.md 2015-06-09 15:39:51 +10:00
Leonardo de Moura
1c5c79fbc1 refactor(library/data/list/perm): use improved 'obtain' to cleanup proof 2015-06-08 11:58:21 -07:00
Haitao Zhang
6949e2d422 feat(library/data/fintype): add finite function related theories 
develop kth related techniques, all_lists_of_len, all_funs, map between lists and functions, finite inverse and cardinality
remove function module from default import list for now
 2015-06-08 10:48:22 -07:00
Leonardo de Moura
35eae96aa5 chore(library/data/int/gcd): remove 'TODO' 
The 'TODO' was fixed by commit 496189feed
 2015-06-08 10:45:05 -07:00
Jeremy Avigad
e59400b58c feat(library/data/int/{div,gcd}): add some theorems, to reduce rationals 2015-06-08 22:43:51 +10:00
Jeremy Avigad
1c93c5bbb2 feat(library/logic/{connectives.lean,quantiers.lean}): add iff congruence rules 2015-06-08 16:58:08 +10:00
Jeremy Avigad
feb385748f refactor(library/data/set/map.lean): put map into set namespace 
This is needed to repair a conflict in the tutorial, but it is the right thing to do anyhow. The type "map A B" should not be a top-level identifier.
 2015-06-06 18:58:33 -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
7db84c7036 refactor(library/data): replace 'fin' with Haitao's 'less_than' 
The commit also fixes vector to use the new definition.
 2015-06-05 10:33:19 -07:00
Jeremy Avigad
453da48dd5 feat(library/data/less_than.lean): add finite ordinals from Haitao Zhang 2015-06-05 09:32:00 -07:00
Jeremy Avigad
370860e1b0 feat(library/data/fintype,finset): add cardinality for finite types from Haitao Zhang 2015-06-05 09:32:00 -07:00
Jeremy Avigad
f475408f4c feat(library/data/list/*): add theorems from Haitao Zhang and clean up 2015-06-05 09:32:00 -07:00
Jeremy Avigad
4db89e16dc feat(library/theories): create theories folder 2015-06-05 09:32:00 -07:00
Jeremy Avigad
c2aa8c6720 feat(library/data/finset/partition.lean): add theory of partitions into finsets by Haitao Zhang 2015-06-05 09:32:00 -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
ff41886a32 feat(nat/bquant): give instances for quantification bounded with le 
also add theorems c_iff_c to logic/connectives, where c is a connective
 2015-06-04 20:14:13 -04:00