Rob Lewis
4312f1e54b
chore(library/data/real): clean and rename theorems in completeness proofs
2015-09-16 08:28:11 -07:00
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
Rob Lewis
8d1f449491
refactor(library/data/real): move and rename theorems
2015-09-11 08:52:53 -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
f74d7fc266
refactor(library/data/real/basic): add extra step to help unifier
2015-08-31 16:56:05 -10:00
Leonardo de Moura
ea05ce7fe9
fix(library/data/real/order): mark '2' as local notation
2015-08-31 15:03:18 -10:00
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
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
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
Rob Lewis
11bb342819
style(library/data/real): clean up proofs in basic.lean
2015-08-07 13:30:23 -07:00
Rob Lewis
e004ed8cba
feat(library/algebra): add one directional versions of iff theorems
2015-08-03 17:16:18 -04:00
Rob Lewis
78942a0689
fix(library/data/real): fix num -> rat -> real coercion chain
2015-08-03 16:38:42 -04:00
Rob Lewis
4dd4d7b3b8
style(library/data): clean up proofs in pnat and real
2015-08-03 15:02:03 -04:00
Rob Lewis
5c2fe1c3af
refactor(real/complete): put limit sequence construction in a section
2015-08-03 11:20:26 -04:00
Rob Lewis
ba2dda08d3
feat(library/data/real): prove infimum property"
2015-08-03 11:16:56 -04:00
Jeremy Avigad
36c7aad6ee
fix(library/data/rat/basic): define pow before migrate
2015-08-01 18:23:36 +01:00
Leonardo de Moura
3b742c5d69
refactor(library/data/real/complete): use 'em' instead of 'decidable.em'
...
It is slightly faster since it avoids type class resolution.
It looks more readable too.
Note that em is not axiom anymore. It is a theorem based on choce.
2015-07-31 10:57:53 -07:00
Leonardo de Moura
a53ac25ca8
chore(library): remove outdated comments
2015-07-31 08:37:24 -07:00
Rob Lewis
01af780b6e
feat(library/data/real): clean up proof of supremum property
2015-07-31 08:28:37 -07:00
Rob Lewis
0c65468db3
feat(library/data/real): remove remaining sorrys from proof of supremum property
2015-07-31 08:28:36 -07:00
Rob Lewis
7d6b595289
feat(library/data/real): complete proof of the supremum property pending two integer theorems
2015-07-31 08:28:36 -07:00
Rob Lewis
954e30b59a
feat(library/data/real): add more theorems to reals
2015-07-31 08:28:36 -07:00
Rob Lewis
f929f82cb4
feat(library/data/real): fill in remaining sorrys in supremum property proof
2015-07-31 08:28:36 -07:00
Rob Lewis
b4b08aca32
feat(library/data/real): more progress toward supremum property
2015-07-31 08:28:26 -07:00
Rob Lewis
2fdf1e599e
feat(library/algebra/ordered_group): add missing theorems to ordered group
2015-07-31 09:10:57 -04:00
Rob Lewis
ebbad9e70d
chore(library/data/real): fill in sorrys in supremum property proof
2015-07-31 09:10:57 -04:00
Rob Lewis
7a4947cfe1
feat(library/algebra/real): significant progress toward supremum property
2015-07-31 09:10:57 -04:00
Rob Lewis
601f824baf
feat(library/data/real): compare a real and a sequence pointwise to compare two reals
2015-07-31 09:10:57 -04:00
Rob Lewis
d63010b7df
feat(library/data/real): prove more about embedding Q into R
2015-07-31 09:10:57 -04:00
Rob Lewis
a670f21e78
feat(library/data/real): begin proving supremum property
2015-07-31 09:10:57 -04:00
Rob Lewis
3a97079920
feat(library/data/real): finish coercions from rat to real
2015-07-31 09:10:56 -04:00
Leonardo de Moura
be61fb0566
feat(frontends/lean/elaborator): add "noncomputable theory" command, display "noncomputable" when printing definitions
...
When the command "noncomputable theory" is used, Lean will not sign an
error when a noncomputable definition is not marked as noncomputable
2015-07-29 17:54:35 -07:00
Leonardo de Moura
bbd6946a15
refactor(library/logic/axioms): we have only one extra axiom
2015-07-29 13:36:23 -07:00
Leonardo de Moura
0bda39c8ac
feat(frontends/lean): check for noncomputability when moving theorems from theorem_queue to environment
2015-07-29 13:01:07 -07:00
Leonardo de Moura
69ead0ddd8
feat(frontends/lean/decl_cmds): reject unnecessary "noncomputable" annotations
2015-07-29 13:01:07 -07:00
Leonardo de Moura
308af87b69
feat(library): add 'noncomputable' keyword for the standard library
2015-07-28 21:56:35 -07:00
Leonardo de Moura
99a9dec93f
refactor(library/data/real/basic): declare 'real' in the toplevel like 'nat', 'int' and 'rat'
2015-07-24 11:59:46 -07:00
Leonardo de Moura
5c7a20e5bd
fix(library/unifier): crash when unifying constraints of the form (pr t =?= s)
...
where pr is a projection and t is a stuck term
see issue #737
2015-07-24 11:52:46 -07:00
Leonardo de Moura
0f2c0b6512
feat(library/data/real/basic): replace 'have ... [visible]' with 'assert ...'
...
Remove comments about "sorry"s. Mario has fixed all of them.
2015-07-24 10:07:16 -07:00
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
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
