Commit graph

40 commits

Author SHA1 Message Date
Jeremy Avigad
de83a68667 refactor(library/data/{int,rat}/*): clean up casts between nat, int, and rat 2015-09-12 21:46:09 -04:00
Rob Lewis
e722120e34 fix(library/data/rat/order): declare decidable_le an instance 2015-09-03 15:43:07 -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
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
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
Jeremy Avigad
e416291135 feat(library/algebra/*,library/data/*): small additions and changes 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
bf65acb126 feat(library/data/rat): show that the rationals are encodable and countable 2015-08-12 21:31:24 -07:00
Jeremy Avigad
4b39400439 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.
2015-08-08 17:20:23 -04:00
Jeremy Avigad
36c7aad6ee fix(library/data/rat/basic): define pow before migrate 2015-08-01 18:23:36 +01:00
Mario Carneiro
066b0fcdf9 feat(library): clean up "sorry"s in library
Breaking changes: pnat was redefined to use subtype instead of a custom inductive type, which affects the notation for pnat 2 and 3
2015-07-24 12:21:33 -04:00
Leonardo de Moura
0de715ae54 refactor(library/data): cleanup proofs using new features 2015-07-21 09:57:10 -07:00
Leonardo de Moura
48f8b8f18d refactor(library): use new 'suppose'-expression 2015-07-19 21:15:20 -07:00
Leonardo de Moura
ade60278d0 refactor(library): rename iff.mp' to iff.mpr 2015-07-18 08:52:58 -05:00
Leonardo de Moura
3ab0e07ba9 feat(frontends/lean): add simp tactic frontend stub
This commit also removes the fake_simplifier. It doesn't work anymore
because simp is now a reserved word.
2015-07-14 09:54:53 -04:00
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
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
93e5124d71 feat(library/algebra/order): add lattices, min, max 2015-06-29 15:23:11 +10:00
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
Leonardo de Moura
226a5800dd fix(library/data/rat/order): adjust file to recent changes 2015-06-10 16:56:17 -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
Jeremy Avigad
ffa648a090 feat/refactor(library/*): various additions and improvements 2015-06-01 12:35:44 +10:00
Rob Lewis
2273dc669e feat(library/data): fill in sorrys in int and rat orderings 2015-05-29 14:11:51 +10:00
Leonardo de Moura
47e5633498 feat(frontends/lean/calc_proof_elaborator): avoid unnecessary unfolding in the calc tactic 2015-05-27 12:07:39 -07:00
Rob Lewis
681f431d4b feat(library/data/rat): make rat subtraction reducible, fix migration of min/max 2015-05-26 11:52:34 +10:00
Jeremy Avigad
a64c0ea845 feat/refactor(library/data/{int,rat}/*): improve casting from nat to int to rat 2015-05-25 16:50:42 -07:00
Jeremy Avigad
8bebd104ff refactor(library/*): remove 'Module:' lines 2015-05-23 20:52:23 +10:00
Jeremy Avigad
f65a49b2c3 feat/fix(library/data/nat,int): add power to int, add trans attributes, power notation 2015-05-23 15:38:42 +10:00
Jeremy Avigad
4bc93b59e3 feat(library/data/rat/{basic,order}.lean): add property of of_int 2015-05-23 12:34:07 +10:00
Jeremy Avigad
42616f766f refactor(library/data/{nat,int,rat}/{basic.lean,order.lean}: make algebra instance declarations local 2015-05-12 06:20:47 -07:00
Leonardo de Moura
f25c301c98 fix(library/data/rat): migrate for rat 2015-05-12 04:46:34 -07:00
Leonardo de Moura
5798ac43de fix(frontends/lean/structure_cmd): 'structure' command must set unfold-c attribute for auxiliary recursors
fixes #582
2015-05-07 09:09:07 -07:00
Leonardo de Moura
7aa0e466a5 test(library): test new 'obtain' expression in the standard library 2015-05-05 18:30:16 -07:00
Leonardo de Moura
cd17618f4a refactor(library): replace 'calc_trans', 'calc_symm', 'calc_refl' and 'calc_subst' commands with attributes '[symm]', '[refl]', '[trans]' and '[subst]'
These attributes are used by the calc command.
They will also be used by tactics such as 'reflexivity', 'symmetry' and
'transitivity'.

See issue #500
2015-05-02 15:15:35 -07:00
Leonardo de Moura
17c07cdb02 feat(library/data/rat/order): define abs and sign for rat before migrate 2015-04-27 12:59:02 -07:00
Jeremy Avigad
7a1064b7e8 refactor(library/algebra/order.lean): rename a field in an order structure 2015-04-27 12:03:41 -07:00
Jeremy Avigad
d8e40d90d6 feat(library/data/rat/order.lean): make rat a linear ordered field 2015-04-27 12:03:41 -07:00
Jeremy Avigad
f4398115b4 feat(library/data/rat/basic.lean): begin theory of rationals, show rat is a field 2015-04-18 11:39:52 -07:00