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
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]'
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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
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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
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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
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
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
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
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
Leonardo de Moura
3cd81051c6
refactor(library/data/real/division): remove unnecessary 'xrewrite'
2015-06-27 14:07:32 -07:00
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
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
Leonardo de Moura
d2e64d30e8
refactor(library/data/quotient): make proofs more robust
2015-06-25 17:48:58 -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
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
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
70fc05294b
refactor(library/local_context): avoid hack in local_context
2015-06-18 15:41:00 -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
Rob Lewis
a72ca936c0
chore(library/real): replace theorems with versions from 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
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
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
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
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
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
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
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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
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
c2aa8c6720
feat(library/data/finset/partition.lean): add theory of partitions into finsets by Haitao Zhang
2015-06-05 09:32:00 -07:00
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
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
63f61a35f4
feat(library/data/list/set): cleanup nodup_map proof
2015-06-04 15:21:40 -07:00
Leonardo de Moura
9a7cff0e89
feat(library/data/list/comb): add length_product theorem
2015-06-04 15:11:09 -07:00
Jeremy Avigad
df69bb4cfc
feat(library/*): add theorems from Haitao on sets and functions, clean up
2015-06-04 11:55:25 -07:00
