Jeremy Avigad
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a56a7d2736
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feat(library/data/rat/basic): prove numerator and denominator are coprime
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2015-08-14 18:49:57 -07:00 |
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Leonardo de Moura
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49eb7166f0
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refactor(library/data): rename fixed_list -> tuple
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2015-08-13 16:45:34 -07:00 |
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Leonardo de Moura
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9bb778dc7c
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feat(library/data/hf): define head and tail for hf
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2015-08-13 16:00:32 -07:00 |
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Leonardo de Moura
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a6b1c84874
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feat(library/data/hf): add basic list functions to hf
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2015-08-13 15:36:54 -07:00 |
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Leonardo de Moura
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50983c4573
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feat(library/data/hf): prove that s₁ ⊆ s₂ → s₁ ≤ s₂ for hereditarily finite sets
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2015-08-13 15:36:26 -07:00 |
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Leonardo de Moura
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aa2a417483
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feat(library/data/hf): add induction and total order for hf
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2015-08-13 14:11:44 -07:00 |
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Leonardo de Moura
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f4a81fdd73
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fix(library/data): powerset notation
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2015-08-13 09:04:00 -07:00 |
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Leonardo de Moura
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51c48277c8
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feat(library/data/hf): add hf.powerset
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2015-08-13 08:52:45 -07:00 |
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Leonardo de Moura
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6bec3ba58b
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feat(library/data/hf): add hf.image
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2015-08-13 08:22:58 -07:00 |
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Leonardo de Moura
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bf65acb126
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feat(library/data/rat): show that the rationals are encodable and countable
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2015-08-12 21:31:24 -07:00 |
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Leonardo de Moura
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710b7b6e40
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feat(library/data/int/countable): show that int is encodable, isomorphic to nat, and countable
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2015-08-12 21:31:24 -07:00 |
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Leonardo de Moura
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52f902bc33
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feat(library/data/encodable): show that the quotient A/R is encodable if A is encodable and R is decidable
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2015-08-12 21:31:24 -07:00 |
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Leonardo de Moura
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d2eb99bf11
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refactor(library/logic): move logic/choice.lean to init/classical.lean
choice axiom is now in the classical namespace.
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2015-08-12 18:37:33 -07:00 |
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Leonardo de Moura
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cb9830beaf
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refactor(library/logic/choice): move prop_decidable instance into namespace 'classical'
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2015-08-12 17:06:15 -07:00 |
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Leonardo de Moura
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b4024982a2
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refactor(library/data): move vector as indexed family to examples folder
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2015-08-12 15:05:14 -07:00 |
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Leonardo de Moura
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840c1a3693
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refactor(library/data): rename vec to fixed_list
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2015-08-12 14:38:21 -07:00 |
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Leonardo de Moura
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cee9d6b092
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feat(library/data/hf): define Hereditarily finite sets
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2015-08-11 16:56:06 -07:00 |
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Leonardo de Moura
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6fd3affeb1
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feat(library/data/finset/equiv): show that (finset nat) is isomorphic to nat
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2015-08-11 15:54:14 -07:00 |
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Leonardo de Moura
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1cacac2789
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feat(library/data/nat/parity): add auxiliary lemma
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2015-08-11 14:20:58 -07:00 |
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Leonardo de Moura
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a5615a6ea7
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feat(library/data/finset/equiv): start bijection from (finset nat) to nat
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2015-08-10 19:42:09 -07:00 |
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Leonardo de Moura
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0e98f10c96
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feat(library/data/nat/div): add div_div_eq_div_mul theorem for nat
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2015-08-10 19:30:00 -07:00 |
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Leonardo de Moura
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de3d0e4162
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feat(library/data/list/comb): show that (list A) is isomorphic to A if A is isomorphic to nat
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2015-08-10 16:04:02 -07:00 |
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Leonardo de Moura
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303e9031d6
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feat(library/data/encodable): add encodable subtypes
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2015-08-10 09:54:48 -07:00 |
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Leonardo de Moura
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56e2e0c0a5
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feat(library/data/encodable): show that (finset A) is encodable when A is encodable
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2015-08-10 07:47:00 -07:00 |
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Leonardo de Moura
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70bd95d931
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feat(library/data/list): show that (sort R l1 = sort R l2) when R is a decidable total order and l1 is a permutation of l2
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2015-08-09 23:36:08 -07:00 |
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Leonardo de Moura
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2a22c75e52
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feat(library/data/list/sort): prove that (sort R l) is strongly_sorted
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2015-08-09 23:36:07 -07:00 |
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Leonardo de Moura
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5ca37dace0
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fix(library/data/nat/order): fixes #786
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2015-08-09 23:36:07 -07:00 |
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Leonardo de Moura
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f9b2b93f7a
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refactor(library/algebra/complete_lattice): add alternative definitions of complete_lattice and convertions between them
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2015-08-09 20:40:07 -07:00 |
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Jeremy Avigad
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d17f72eb7c
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fix(library/data/set/filter): adapt to change in complete_lattice structure
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2015-08-09 22:36:04 -04:00 |
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Jeremy Avigad
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b130a144c8
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feat(library/data/set/filter): add filters, show they form a complete lattice
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2015-08-09 22:14:25 -04:00 |
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Jeremy Avigad
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244052b413
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refactor(library/data/set/*): rename setext to ext
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2015-08-09 22:14:25 -04:00 |
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Jeremy Avigad
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d77bdaabc2
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refactor(library/logic/eq): rename two theorems
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2015-08-09 22:13:18 -04:00 |
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Jeremy Avigad
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eca3437388
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refactor(library/algebra/ring): add alternate names for dvd.intro, dvd.intro_left
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2015-08-09 22:13:18 -04:00 |
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Jeremy Avigad
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209d7b07aa
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feat(library/data/set/basic): add a few theorems
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2015-08-09 22:13:18 -04:00 |
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Leonardo de Moura
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276771e6ca
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feat(library/data/list/sort): add sort for lists
TODO: prove the result is sorted, prove that l1 ~ l2 -> sort R l1 = sort R l2
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2015-08-09 14:23:09 -07:00 |
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Leonardo de Moura
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b4828283fa
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feat(library/data/list/sorted): add locally_sorted, sorted and strongly_sorted predicates for lists
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2015-08-09 10:28:41 -07:00 |
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Leonardo de Moura
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7ddcfa5225
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feat(library/algebra/complete_lattice): add basic theorems for complete_lattices
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2015-08-08 23:18:36 -07:00 |
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Leonardo de Moura
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b2415f7b4b
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feat(library/data/set/basic): add basic 'set' theorems
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2015-08-08 23:18:20 -07:00 |
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Jeremy Avigad
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8f815cabc0
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refactor(library/data/finset/comb,library/data/set/basic,library/*): rename 'filter' to 'sep' to free up 'set.filter'
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2015-08-08 18:10:44 -04:00 |
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Jeremy Avigad
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4b39400439
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feat(library/data/{int,rat,real}/bigops): add bigops for int, rat, real
Because migrate does not handle parameters, we have to migrate by hand.
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2015-08-08 17:20:23 -04:00 |
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Jeremy Avigad
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f97298394b
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feat(library/data/nat/bigops,library/data/set/card,library/*): add set versions of bigops for nat
This required splitting data/set/card.lean from data/set/finite.lean, to avoid dependencies
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2015-08-08 17:20:23 -04:00 |
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Leonardo de Moura
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582dbecfd0
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feat(library,hott): add notation T1 : T2 as syntax sugar for (focus (T1; all_goals T2))
closes #775
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2015-08-08 10:16:25 -07:00 |
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Leonardo de Moura
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ecf9c825ac
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feat(library/algebra/complete_lattice): add 'complete_lattice' structure
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2015-08-08 07:38:49 -07:00 |
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Jeremy Avigad
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fce042ef79
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feat(library/algebra/group_set_bigops.lean): add set versions of bigops
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2015-08-08 04:23:52 -07:00 |
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Jeremy Avigad
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eaf886cb5a
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refactor(library/algebra/group_bigops,library/*): put group_bigops in 'finset' namespace, in preparation for set versions
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2015-08-08 04:23:52 -07:00 |
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Jeremy Avigad
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31eed7faea
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feat(library/data/set,finset): finish porting properties of card to sets
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2015-08-08 04:23:52 -07:00 |
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Jeremy Avigad
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1b0773b604
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feat(library/data/set/basic,finite): add more finiteness facts
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2015-08-08 04:23:52 -07:00 |
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Leonardo de Moura
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06f20694c8
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fix(frontends/lean/builtin_exprs): fixes #768
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2015-08-08 04:20:17 -07:00 |
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Jeremy Avigad
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7df59d8b12
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feat(library/data/set/finite): add more finiteness facts
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2015-08-07 13:45:16 -07:00 |
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Jeremy Avigad
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eb181485eb
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feat(library/data/set/finite): start the theory of finite sets
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2015-08-07 13:45:16 -07:00 |
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