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