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
Rob Lewis
11bb342819
style(library/data/real): clean up proofs in basic.lean
2015-08-07 13:30:23 -07:00
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
954e30b59a
feat(library/data/real): add more theorems to reals
2015-07-31 08:28:36 -07:00
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
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
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
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
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
a72ca936c0
chore(library/real): replace theorems with versions from 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
8d0518444d
chore(library/data/{pnat, real}): rename pnat theorems
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
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
Jeremy Avigad
658c5a2c49
feat(library/rat/basic.lean): add reduce for rat, and num and denom
2015-06-10 16:39:17 -07:00
Rob Lewis
d287b20018
chore(library/data/real): move more lemmas to algebra
2015-06-09 16:27:55 +10:00
Rob Lewis
e112468f99
feat(library/data/real): prove reals are Cauchy complete
2015-06-09 15:39:51 +10:00
Rob Lewis
9843e61583
feat(library/data/real): define inverses of reals, prove (classically) that R is a discrete linear ordered field
2015-06-01 23:00:53 +10:00
Rob Lewis
82f85a574d
feat(library/data/real): prove reals form an ordered ring
2015-05-29 14:11:51 +10:00
Leonardo de Moura
7f0951b8e7
feat(library/tactic): improve assumption tactic performance
2015-05-25 20:22:37 -07:00
Rob Lewis
393cefcf97
feat(library/data/real): define real numbers, prove they form a commutative ring
2015-05-26 12:05:53 +10:00
