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1681 commits

Author SHA1 Message Date
Leonardo de Moura
b94e31a72c refactor(library): remove algebra namespace 2015-12-05 23:50:01 -08:00
Daniel Selsam
7a117c45bf feat(init/setoid): tag equivalence relation 2015-12-05 11:54:27 -08:00
Leonardo de Moura
fa938bb94c feat(frontends/lean/decl_cmds): allow modifier to be provided after the 'attribute' keyword, test 'at' keyword 2015-12-05 11:50:08 -08:00
Daniel Selsam
934b502c6f refactor(algebra/numeral): prove lemmas incrementally 2015-12-05 08:56:56 -08:00
Daniel Selsam
2e4765482b fix(algebra/ring): fix names 2015-12-05 08:56:56 -08:00
Daniel Selsam
a04c28d4c9 refactor(library/algebra): construct simplifier sets incrementally 2015-12-04 18:28:56 -08:00
Leonardo de Moura
5da1b52e47 feat(library/blast/unit/unit_propagate): make sure unif_propagate works even if 'not' is marked as '[reducible]' 2015-12-04 16:49:21 -08:00
Leonardo de Moura
00e34683f2 feat(library/app_builder): (try to) address not-issue and other reducibility annotation related issues in the app_builder 2015-12-04 16:03:06 -08:00
Daniel Selsam
6e478696d2 feat(library/blast/unit): preprocessor placeholder 2015-12-04 08:30:04 -08:00
Daniel Selsam
2bf9989bd9 refactor(library/blast/unit): simplify module 2015-12-04 08:30:03 -08:00
Jacob Gross
dd6bed371a feat(library/data/set/basic): Added a supporting lemma for sUnion, which will be essential for proofs by induction on finite sets 2015-12-02 23:05:59 -08:00
Joe Hendrix
719a78d541 style(library/data/bv): Use syntax for dite 2015-12-02 23:01:26 -08:00
Joe Hendrix
3574ad1f11 style(library/data/bv): Simplify from_bv and bv_mul 2015-12-02 23:01:26 -08:00
Joe Hendrix
fd1999a97f feat(library/data/bv): Add signed/unsigned comparisons. 2015-12-02 23:01:26 -08:00
Joe Hendrix
5cf6e18af0 refactor(library/data/bv): Cleanup formatting inconsistencies 2015-12-02 23:01:26 -08:00
Joe Hendrix
3fddca81b5 feat(library/data/bv): Add preliminary bitvector ops. 2015-12-02 23:01:26 -08:00
Joe Hendrix
e4c839f362 feat(library/data/tuple): Add tuple combinators 2015-12-02 23:01:26 -08:00
Joe Hendrix
42afd89583 feat(library/data/list): Add additonal list combinators. 2015-12-02 23:01:26 -08:00
Joe Hendrix
63a17a3f48 feat(library/data/bool): Add bxor definition 2015-12-02 23:01:26 -08:00
Leonardo de Moura
5721bc13a7 feat(library/init/logic): annotate logical connectives as [no_pattern] 2015-11-24 18:48:22 -08:00
Leonardo de Moura
d240b06ba2 feat(library/init/logic): add new simp rules 2015-11-22 17:04:25 -08:00
Floris van Doorn
0537ef2bd9 chore(*): add me as author to files where I made nontrivial contributions 2015-11-22 14:21:26 -08:00
Floris van Doorn
482c68b387 feat(*/list): add some computation rules for lists in both libraries 2015-11-22 14:21:26 -08:00
Floris van Doorn
cc03ca9c6d fix(reserved_notation): make :: bind stronger than ++ 
this allows us to write l1 ++ a :: l2 without parentheses
 2015-11-22 14:21:26 -08:00
Floris van Doorn
5abc450fad feat(list): port list.basic from the standard library 2015-11-22 14:21:26 -08:00
Leonardo de Moura
564e8f947d refactor(library): cleanup 2015-11-22 14:10:02 -08:00
Leonardo de Moura
c49caf3740 feat(library/blast/congruence_closure): add support for user-defined congruence lemmas in the congruence closure module 2015-11-21 14:43:51 -08:00
Leonardo de Moura
5a98a2538c refactor(library): move basic simp/congr rules to init folder, delete some legacy files 2015-11-20 16:38:10 -08:00
Leonardo de Moura
3de9a89d93 feat(library/blast/congruence_closure): congruence_closure basics 2015-11-17 18:45:22 -08:00
Daniel Selsam
2eeab1c757 fix(algebra/simplifier): use export 2015-11-16 20:39:15 -08:00
Daniel Selsam
49ff8640d9 fix(library/blast/simplifier): use ac rules for numerals 2015-11-16 20:39:15 -08:00
Daniel Selsam
8ca5d87f0b feat(library/blast/simplifier): rely on norm_num for recursion 2015-11-16 20:33:22 -08:00
Leonardo de Moura
b3ca5faa49 fix(tests/lean): some of the simplifier tests 2015-11-16 11:01:53 -08:00
Leonardo de Moura
dfaf1c2ba3 refactor(library): move basic theorems to init, remove sorry's from algebra/simplifier.lean 2015-11-16 10:26:09 -08:00
Daniel Selsam
5e8068b2b2 feat(library/blast/simplifier): draft of fusion 2015-11-16 09:13:07 -08:00
Daniel Selsam
30b1b79c4e fix(algebra/simplifier): update numeral simp rules 2015-11-16 09:12:29 -08:00
Leonardo de Moura
0dc31227f8 feat(library/init/logic): mark ne reducible 2015-11-15 15:09:02 -08:00
Leonardo de Moura
4d68e2a520 feat(library,hott): add eq.mpr and eq.mp lemmas 2015-11-14 15:40:47 -08:00
Daniel Selsam
4ba6b4f3f1 fix(algebra/simplifier): reference norm_num namespace 2015-11-12 21:28:11 -08:00
Daniel Selsam
00a5cd519e feat(algebra/simplifier): simp rule set for units 2015-11-12 21:23:28 -08:00
Daniel Selsam
e7890fb456 feat(algebra/simplifier): useful simp rule sets 2015-11-12 21:23:28 -08:00
Jeremy Avigad
98ddc62f6c feat(library/data/complex): add complex numbers 2015-11-12 21:05:38 -08:00
Rob Lewis
44a099f6f1 feat(norm_num): performance and style fixes 2015-11-12 20:53:37 -08:00
Rob Lewis
4bf0519843 feat(norm_num): numeral normalizer works for +, -, *, / 2015-11-12 20:53:37 -08:00
Rob Lewis
616450be64 feat(library/norm_num): extend norm_num to handle subtraction 2015-11-12 20:53:37 -08:00
Leonardo de Moura
5ceac83b6a feat(frontends/lean/elaborator): restrict the number of places where coercions are considered 
We do not consider coercions around meta-variables anymore.
 2015-11-11 12:37:19 -08:00
Leonardo de Moura
9bedbbb739 refactor(library,hott): remove coercions between algebraic structures 
They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
 2015-11-11 11:57:44 -08:00
Daniel Selsam
bacb9f99aa fix(logic/quantifiers): restore original 2015-11-08 14:05:03 -08:00
Daniel Selsam
34f4e315ee feat(logic/quantifiers): tag congruence theorems 2015-11-08 14:05:02 -08:00
Jeremy Avigad
697df0e68c refactor(library/*): use type classes for div and mod 2015-11-08 14:04:59 -08:00
Jeremy Avigad
eea4e4ec55 fix(tests/lean/*): fix tests 2015-11-08 14:04:59 -08:00
Jeremy Avigad
2beb0030d6 refactor(library/*): protect sub in nat, div in nat and int 2015-11-08 14:04:59 -08:00
Jeremy Avigad
b1719c3823 refactor(library/real/*): protect theorems 2015-11-08 14:04:59 -08:00
Jeremy Avigad
9e5a27dc77 refactor(library/{pnat,rat,real}/*): protect theorems in pnat and rat 2015-11-08 14:04:59 -08:00
Jeremy Avigad
da5bd03656 refactor(library/init/nat,library/data/nat/*): chagne dots to underscores in protected names 2015-11-08 14:04:59 -08:00
Jeremy Avigad
6dfaf1863c refactor(library/data/int/{basic,order}): protect theorem names 2015-11-08 14:04:59 -08:00
Jeremy Avigad
dc8858d764 refactor(library/init/nat,library/): protect more nat theorems 2015-11-08 14:04:59 -08:00
Jeremy Avigad
7bb2ffb79a refactor(library/data/nat/*): protect some theorems in nat 2015-11-08 14:04:59 -08:00
Leonardo de Moura
4eafcfe945 chore(library/data/fintype/function): fix indentation 2015-11-08 14:04:58 -08:00
Leonardo de Moura
33006919b3 refactor(library/theories/group_theory/hom): cleanup definition 2015-11-08 14:04:58 -08:00
Leonardo de Moura
a10aef0792 fix(library/data/tuple): modify definition to make sure we can compile it using new type class resolution procedure 
The issue are universe level constraints that cannot be solved by the
new procedure.
 2015-11-08 14:04:58 -08:00
Leonardo de Moura
5468076400 refactor(library/data): cleanup proofs 2015-11-08 14:04:58 -08:00
Leonardo de Moura
bd41b6ea13 refactor(library/data/rat/basic): cleanup proof 2015-11-08 14:04:58 -08:00
Leonardo de Moura
ac01e9e352 refactor(library/data/int/basic): cleanup proof 2015-11-08 14:04:58 -08:00
Leonardo de Moura
bceac9ece5 refactor(library/data/nat/sub): cleanup nasty proofs 2015-11-08 14:04:58 -08:00
Leonardo de Moura
c2ed5d3f1f fix(library/algebra/category/constructions): make proof more robust 2015-11-08 14:04:58 -08:00
Leonardo de Moura
65d7c05737 fix(library/algebra/complete_lattice): avoid looping instances 2015-11-08 14:04:57 -08:00
Leonardo de Moura
9348701a5b fix(library/logic/examples/instances_test): we do not support the set_option class.conservative false anymore 2015-11-08 14:04:57 -08:00
Rob Lewis
958add9ef8 feat(library/norm_num): fix numeral normalization to work on new numeral structure; add support for multiplication 2015-11-08 14:04:56 -08:00
Leonardo de Moura
13ccbaa0d9 refactor(library/data/encodable): mark auxiliary theorems as private 2015-11-08 14:04:56 -08:00
Leonardo de Moura
f14d0523ec refactor(library/data/set/filter): add missing [instance] attribute 2015-11-08 14:04:56 -08:00
Leonardo de Moura
08c061e1fa refactor(library/data/set): remove [reducible] annotation from set operations 2015-11-08 14:04:56 -08:00
Leonardo de Moura
6df31d3406 refactor(library/data/nat/basic): mark some theorems as protected to avoid overloading 2015-11-08 14:04:56 -08:00
Rob Lewis
0aaa8a9770 feat(theories/analysis/real_limit): fix analysis.real_limit 2015-11-08 14:04:56 -08:00
Leonardo de Moura
6779cb4fc6 refactor(library/data/real/division): make sure \sy and / notation for reals is available even when we do not open the namespace algebra 2015-11-08 14:04:56 -08:00
Leonardo de Moura
7838ed386d refactor(frontends/lean/pp,library/init/reserved_notation): pretty print "nat numerals" nicely even when namespace nat is not open 2015-11-08 14:04:56 -08:00
Leonardo de Moura
840f0ea05d fix(library/theories/analysis/real_limit): minor 2015-11-08 14:04:55 -08:00
Leonardo de Moura
9fb59a05f5 fix(library/theories/analysis/metric_space): minor correction 2015-11-08 14:04:55 -08:00
Leonardo de Moura
fa937395d9 fix(library/data/real): minor adjustments 2015-11-08 14:04:55 -08:00
Rob Lewis
670ac6ae19 fix(real/order): remove sorry 2015-11-08 14:04:55 -08:00
Rob Lewis
06c1a97259 feat(library/real): fix real.complete 2015-11-08 14:04:55 -08:00
Rob Lewis
0d0df0417d fix(library/real): fix real.division 2015-11-08 14:04:55 -08:00
Rob Lewis
f4e1f3bb1b feat(library/data/real): fix real.order 2015-11-08 14:04:55 -08:00
Leonardo de Moura
fbe80d48dc chore(library): remove "set_option pp.*" commands 2015-11-08 14:04:55 -08:00
Leonardo de Moura
ce21996635 feat(library): define custom recursors for nat, and minimize the use of krewrite 2015-11-08 14:04:55 -08:00
Leonardo de Moura
6e44a42779 refactor(library/data/int,library/data/rat): rename theorems: of_nat_zero, of_nat_one, of_int_zero, of_int_one 2015-11-08 14:04:55 -08:00
Leonardo de Moura
e8454fad26 fix(library/data/real/basic): remove obsolete notation declarations 2015-11-08 14:04:55 -08:00
Jeremy Avigad
7f88e9ad33 fix(library/data/real,library/theories/group_theory): group theory and real/basic 2015-11-08 14:04:55 -08:00
Jeremy Avigad
ffbb2be6ac fix(library/theories/group_theory): group_theory 2015-11-08 14:04:55 -08:00
Leonardo de Moura
0eec984485 fix(library/data/equiv): minor adjustment 2015-11-08 14:04:55 -08:00
Leonardo de Moura
724aacb2c1 fix(library): remove "-[notations]" hack at "open -[notations] algebra" 2015-11-08 14:04:55 -08:00
Leonardo de Moura
26eb6fa849 feat(*): new numeral encoding 2015-11-08 14:04:55 -08:00
Leonardo de Moura
8ee214f133 checkpoint: new numeral encoding 2015-11-08 14:04:55 -08:00
Leonardo de Moura
f6d22c0002 fix(library/theories/group_theory/finsubg): fix compilation errors 2015-11-08 14:04:55 -08:00
Leonardo de Moura
8657ccfc04 fix(library/data/int/gcd): remove sorry 2015-11-08 14:04:55 -08:00
Leonardo de Moura
a9f5735bb5 fix(library/data/int/basic): remove sorry's 2015-11-08 14:04:55 -08:00
Leonardo de Moura
843e95ade6 fix(library/data/real/basic): some real theorems 2015-11-08 14:04:55 -08:00
Leonardo de Moura
c0990d1902 fix(library/data/pnat): pnat with type classes 2015-11-08 14:04:55 -08:00
Leonardo de Moura
a23c05549e fix(library/data/int/div): int div 2015-11-08 14:04:54 -08:00
Jeremy Avigad
1ffe62341b fix(library/data/int): more int problems 2015-11-08 14:04:54 -08:00
Leonardo de Moura
07b33ec75e fix(library/data/int,library/data/rat): int and rat 2015-11-08 14:04:54 -08:00
Leonardo de Moura
744d1cba3d feat(library,hott,frontends/lean): avoid keywords with hyphen 2015-11-08 14:04:54 -08:00
Leonardo de Moura
27b4eb2058 fix(library/data): hf, int, nat, pnat 2015-11-08 14:04:54 -08:00
Leonardo de Moura
3369152559 fix(library/data,library/theories): fin, bag, finset, hf, list, ... 2015-11-08 14:04:54 -08:00
Leonardo de Moura
e6d7e89419 fix(library/data/int,library/data/nat): nat and int 2015-11-08 14:04:54 -08:00
Leonardo de Moura
a618bd7d6c refactor(library): use type classes for encoding all arithmetic operations 
Before this commit we were using overloading for concrete structures and
type classes for abstract ones.

This is the first of series of commits that implement this modification
 2015-11-08 14:04:54 -08:00
Leonardo de Moura
06e35b4863 fix(library/algebra/numeral): remove redundant definitions 2015-11-08 14:04:54 -08:00
Leonardo de Moura
e4f0f6a9b4 feat(library): numeral normalization skeleton 2015-10-08 12:49:12 -07:00
Leonardo de Moura
5f967f40b2 fix(library/data/nat/basic): simplify two lemmas 2015-10-07 10:32:20 -07:00
Floris van Doorn
115dedbd1c fix(hott): notation spacing and markdown files 2015-10-02 16:26:10 -07:00
Leonardo de Moura
ede23a3267 feat(hott,library): add additional spacing hints 2015-09-30 17:41:44 -07:00
Sebastian Ullrich
d1b5031dbd feat(library): add some spacing hints 2015-09-30 17:36:32 -07:00
Floris van Doorn
3c4c722afd feat(hott): port more from chapters 4 and 6 of the book 2015-09-28 09:09:21 -07:00
Leonardo de Moura
33f46fd137 feat(library/blast): parse blast tactic and invoke stub 2015-09-25 12:45:16 -07:00
Jeremy Avigad
719e9043cd feat(library/data/set/equinumerosity): add Cantor's theorem, Schroeder-Bernstein theorem 2015-09-25 09:32:28 -07:00
Jeremy Avigad
2c7526e1fc feat(library/*): add various theorems 2015-09-25 09:32:28 -07:00
Jeremy Avigad
135f5ff96b feat(library/init/quot.lean): declare calc subst rule for iff 2015-09-25 09:32:28 -07:00
Leonardo de Moura
3d4475b7d9 refactor(library/logic/cast): simplify proofs 2015-09-21 12:34:24 -07:00
Jeremy Avigad
42c9bdc463 feat(library/theories/analysis/{metric_space,real_limit}: add convergence theorems 2015-09-20 20:51:28 -04:00
Jeremy Avigad
aa8dfba5a5 feat/fix(library/algebra/*): add some useful theorems, fix implicit arguments 2015-09-20 20:47:30 -04:00
Jeremy Avigad
9561e379c7 fix(library/data/set/basic): make set_of reducible 2015-09-20 19:54:46 -04:00
Rob Lewis
8fef4a95d4 chore(library/algebra/ordered_field): generalize theorem from reals 2015-09-17 16:23:22 -04:00
Rob Lewis
d6be32e4ef feat(library/theories/analysis): refactor IVT proof, add more general version of IVT 2015-09-17 16:22:46 -04:00
Rob Lewis
856a09d70e chore(library/theories/analysis): make proof of IVT compile faster 2015-09-16 16:44:28 -04:00
Rob Lewis
631b9b3312 feat(library/theories/analysis): clean and simplify proof of IVT 2015-09-16 08:28:11 -07:00
Rob Lewis
ee257a7c6c chore(library/data/{nat,real}): rename and move iterate function 2015-09-16 08:28:11 -07:00
Rob Lewis
ea3915f279 feat(library/theories/analysis): prove intermediate value theorem 2015-09-16 08:28:11 -07:00
Rob Lewis
f5dcb1e0a9 feat(library/algebra): add missing theorems to algebra library 2015-09-16 08:28:11 -07:00
Rob Lewis
4312f1e54b chore(library/data/real): clean and rename theorems in completeness proofs 2015-09-16 08:28:11 -07:00
Rob Lewis
f4fa38e365 chore(library/data/{rat, pnat}): move theorems from reals to more appropriate places 2015-09-16 08:28:11 -07:00
Jeremy Avigad
352a906ba2 feat(library/theories/{metric_space,real_limit}): define metric spaces, limits, instantiate reals 2015-09-12 21:46:09 -04:00
Jeremy Avigad
948cdee366 feat(library/algebra/ordered_group): add variant of triangle inequality 2015-09-12 21:46:09 -04:00
Jeremy Avigad
b48b33c412 feat(library/data/real/division): add useful rules for proving equalities 2015-09-12 21:46:09 -04:00
Jeremy Avigad
780c950414 refactor(library/data/int/order): use 'exists' instead of 'ex', 'least' instead of 'smallest', etc. 2015-09-12 21:46:09 -04:00
Jeremy Avigad
1affeec3c6 fix(library/algebra/ordered_filed): rename theorems 2015-09-12 21:46:09 -04:00
Jeremy Avigad
8db9afbf1c feat/refactor(data/real/complete): add another archimedean property, rename theorems 2015-09-12 21:46:09 -04:00
Jeremy Avigad
d9e166f77f feat/refactor(library/data/real/*): add / improve casts to real from nat, int, rat 2015-09-12 21:46:09 -04:00
Jeremy Avigad
de83a68667 refactor(library/data/{int,rat}/*): clean up casts between nat, int, and rat 2015-09-12 21:46:09 -04:00
Jeremy Avigad
20f6b4c6bd feat(library/logic/quantifiers): add 'the' 2015-09-12 21:46:09 -04:00
Leonardo de Moura
3035dd7e66 refactor(library/data/finset/equiv): remove workarounds added by commit e9809a453d 
The workarounds were needed due to a bug at local_context class.
The problem has been fixed at df3100d2cd
 2015-09-12 17:19:49 -07:00
Leonardo de Moura
e9809a453d fix(library/data/finset/equiv): broken proof 
TODO: investigate why the proof has to be fixed
 2015-09-11 23:24:29 -07:00
Rob Lewis
8d1f449491 refactor(library/data/real): move and rename theorems 2015-09-11 08:52:53 -07:00
Leonardo de Moura
3c1d6ec67a feat(library/algebra/algebra): add link to complete lattices module 2015-09-04 13:04:36 -07:00
Sebastian Reuße
f8a773be11 chore(library/algebra): remove obsolete link. 2015-09-04 09:41:34 +02:00
Rob Lewis
e722120e34 fix(library/data/rat/order): declare decidable_le an instance 2015-09-03 15:43:07 -07:00
Jeremy Avigad
2ab7928257 refactor(library/data/set/basic): standardize intro and elim theorem names 2015-09-03 15:38:27 -07:00
Floris van Doorn
9a439d4a4e feat(library.md): update reference to classical axiom 2015-09-01 15:17:46 -07:00
Jeremy Avigad
072971f3bb feat(library/data/finset/comb,library/data/set/basic): define set complement 2015-09-01 14:47:19 -07:00
Jeremy Avigad
840ef98829 refactor(library/init/nat): make \nat notation available at top level 2015-09-01 14:47:19 -07:00
Jeremy Avigad
51e0d31304 refactor(library/algebra/ordered_ring,ordered_field): move theorems from ordered_field to ordered_ring 2015-09-01 14:47:19 -07:00
Jeremy Avigad
7d72c9b6b5 refactor(library/algebra/{field,ordered_field}, library/*): more renaming, setting implicit arguments 
Many theorems for division rings and fields have stronger versions for discrete fields, where we
assume x / 0 = 0. Before, we used primes to distinguish the versions, but that has the downside
that e.g. for rat and real, all the theorems are equally present. Now, I qualified the weaker ones
with division_ring.foo or field.foo. Maybe that is not ideal, but let's try it.

I also set implicit arguments with the following convention: an argument to a theorem should be
explicit unless it can be inferred from the other arguments and hypotheses.
 2015-09-01 14:47:19 -07:00
Jeremy Avigad
93c2d1e9d0 refactor(library/algebra/ordered_field): rename theorems to maintain consistency with other parts of the library 2015-09-01 14:47:19 -07:00
Jeremy Avigad
92af727daf fix(library/data/real/{basic,division,order}: use notation for 0 and 1 
These changes were needed because e.g. real.add_zero was "x + zero = x", and rewrite
would not match it to a goal "t + 0".

The fix was a lot harder than I expected. At first, migrate failed with resource
errors. In the end, what worked was this: I defined the coercion from num to real
directly (rather than infer num -> nat -> int -> rat -> real).

I still don't understand what the issues are, though. There are subtle issues with
numerals and coercions and migrate.

(We are not alone. Isabelle also suffers from the fact that there are too many
"zero"s and "one"s.)
 2015-09-01 14:47:19 -07:00
Leonardo de Moura
3b19de1974 feat(library/data/num): show that num has decidable equality 2015-08-31 17:47:07 -10:00
Leonardo de Moura
63b93cf762 refactor(library/data/set/finite): make proof more robust 2015-08-31 17:26:24 -10:00
Leonardo de Moura
92716972c0 refactor(library/data/hf): add local attribute to make proofs more robust 2015-08-31 17:06:54 -10:00
Leonardo de Moura
f74d7fc266 refactor(library/data/real/basic): add extra step to help unifier 2015-08-31 16:56:05 -10:00
Leonardo de Moura
e01b155b2e refactor(library/data/int/basic): cleanup proof 
Proof was abusing the higher-order unifier
 2015-08-31 16:53:11 -10:00
Leonardo de Moura
ea05ce7fe9 fix(library/data/real/order): mark '2' as local notation 2015-08-31 15:03:18 -10:00
Leonardo de Moura
86b10ab184 feat(library/data): define perm as a special kind of equiv 
This commit also proves the basic permutation lemmas in the nominal isabelle library.
 2015-08-27 06:06:02 -10:00
Leonardo de Moura
3a72cd9621 fix(frontends/lean): rename multiword keyword "suffices to show" to "suffices" 2015-08-18 17:57:53 -07:00
Leonardo de Moura
3ce8c5d6f7 feat(frontends/lean): add "suffices to show A, from B, C" construct 2015-08-18 17:04:38 -07:00
Jeremy Avigad
7dda69fec7 feat/refactor(library/theories/number_theory/irrational_roots,library/*): show nth roots irrational, and add lots of missing theorems 2015-08-16 23:23:23 -04:00
Leonardo de Moura
a06b288deb fix(library/data/set/finite): the powerset notation has already been fixed 2015-08-16 18:47:20 -07:00
Leonardo de Moura
40ef589d8c fix(library/data/finset,library/data/list): fixes #799 
Make sure standard library - theories folder can be compiled with --to_axiom
 2015-08-15 09:49:40 -07:00
Jeremy Avigad
c83d592c17 feat(library/theories/number_theory/square_root_irrational): add proof that sqrt 2 is irrational 2015-08-14 18:49:57 -07:00
Jeremy Avigad
e416291135 feat(library/algebra/*,library/data/*): small additions and changes 2015-08-14 18:49:57 -07:00
Jeremy Avigad
4a36f843f7 refactor(library/algebra/group_power,library/*): change definition of pow 
I changed the definition of pow so that a^(succ n) reduces to a * a^n rather than a^n * a.

This has the nice effect that on nat and int, where multiplication is defined by recursion on the right,
a^1 reduces to a, and a^2 reduces to a * a.

The change was a pain in the neck, and in retrospect maybe not worth it, but oh, well.
 2015-08-14 18:49:57 -07:00
Jeremy Avigad
f9f4cd2197 feat(library/algebra/ordered_field,library/data/int/div): prove sign a = a / abs a 2015-08-14 18:49:57 -07:00
Jeremy Avigad
a56a7d2736 feat(library/data/rat/basic): prove numerator and denominator are coprime 2015-08-14 18:49:57 -07:00
Leonardo de Moura
49eb7166f0 refactor(library/data): rename fixed_list -> tuple 2015-08-13 16:45:34 -07:00
Leonardo de Moura
9bb778dc7c feat(library/data/hf): define head and tail for hf 2015-08-13 16:00:32 -07:00
Leonardo de Moura
a6b1c84874 feat(library/data/hf): add basic list functions to hf 2015-08-13 15:36:54 -07:00
Leonardo de Moura
50983c4573 feat(library/data/hf): prove that s₁ ⊆ s₂ → s₁ ≤ s₂ for hereditarily finite sets 2015-08-13 15:36:26 -07:00
Leonardo de Moura
aa2a417483 feat(library/data/hf): add induction and total order for hf 2015-08-13 14:11:44 -07:00
Leonardo de Moura
f4a81fdd73 fix(library/data): powerset notation 2015-08-13 09:04:00 -07:00
Leonardo de Moura
51c48277c8 feat(library/data/hf): add hf.powerset 2015-08-13 08:52:45 -07:00
Leonardo de Moura
6bec3ba58b feat(library/data/hf): add hf.image 2015-08-13 08:22:58 -07:00
Leonardo de Moura
bf65acb126 feat(library/data/rat): show that the rationals are encodable and countable 2015-08-12 21:31:24 -07:00
Leonardo de Moura
710b7b6e40 feat(library/data/int/countable): show that int is encodable, isomorphic to nat, and countable 2015-08-12 21:31:24 -07:00
Leonardo de Moura
52f902bc33 feat(library/data/encodable): show that the quotient A/R is encodable if A is encodable and R is decidable 2015-08-12 21:31:24 -07:00
Leonardo de Moura
d2eb99bf11 refactor(library/logic): move logic/choice.lean to init/classical.lean 
choice axiom is now in the classical namespace.
 2015-08-12 18:37:33 -07:00
Leonardo de Moura
cb9830beaf refactor(library/logic/choice): move prop_decidable instance into namespace 'classical' 2015-08-12 17:06:15 -07:00
Leonardo de Moura
b4024982a2 refactor(library/data): move vector as indexed family to examples folder 2015-08-12 15:05:14 -07:00
Leonardo de Moura
840c1a3693 refactor(library/data): rename vec to fixed_list 2015-08-12 14:38:21 -07:00
Leonardo de Moura
cee9d6b092 feat(library/data/hf): define Hereditarily finite sets 2015-08-11 16:56:06 -07:00
Leonardo de Moura
6fd3affeb1 feat(library/data/finset/equiv): show that (finset nat) is isomorphic to nat 2015-08-11 15:54:14 -07:00
Leonardo de Moura
1cacac2789 feat(library/data/nat/parity): add auxiliary lemma 2015-08-11 14:20:58 -07:00
Leonardo de Moura
a5615a6ea7 feat(library/data/finset/equiv): start bijection from (finset nat) to nat 2015-08-10 19:42:09 -07:00
Leonardo de Moura
0e98f10c96 feat(library/data/nat/div): add div_div_eq_div_mul theorem for nat 2015-08-10 19:30:00 -07:00
Leonardo de Moura
de3d0e4162 feat(library/data/list/comb): show that (list A) is isomorphic to A if A is isomorphic to nat 2015-08-10 16:04:02 -07:00
Leonardo de Moura
303e9031d6 feat(library/data/encodable): add encodable subtypes 2015-08-10 09:54:48 -07:00
Leonardo de Moura
56e2e0c0a5 feat(library/data/encodable): show that (finset A) is encodable when A is encodable 2015-08-10 07:47:00 -07:00
Leonardo de Moura
70bd95d931 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 2015-08-09 23:36:08 -07:00
Leonardo de Moura
2a22c75e52 feat(library/data/list/sort): prove that (sort R l) is strongly_sorted 2015-08-09 23:36:07 -07:00
Leonardo de Moura
5ca37dace0 fix(library/data/nat/order): fixes #786 2015-08-09 23:36:07 -07:00
Leonardo de Moura
f9b2b93f7a refactor(library/algebra/complete_lattice): add alternative definitions of complete_lattice and convertions between them 2015-08-09 20:40:07 -07:00
Jeremy Avigad
d17f72eb7c fix(library/data/set/filter): adapt to change in complete_lattice structure 2015-08-09 22:36:04 -04:00
Jeremy Avigad
b130a144c8 feat(library/data/set/filter): add filters, show they form a complete lattice 2015-08-09 22:14:25 -04:00
Jeremy Avigad
244052b413 refactor(library/data/set/*): rename setext to ext 2015-08-09 22:14:25 -04:00