Jeremy Avigad
b48b33c412
feat(library/data/real/division): add useful rules for proving equalities
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
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
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
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
Rob Lewis
4dd4d7b3b8
style(library/data): clean up proofs in pnat and real
2015-08-03 15:02:03 -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
308af87b69
feat(library): add 'noncomputable' keyword for the standard library
2015-07-28 21:56:35 -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
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
Leonardo de Moura
b5444c1314
refactor(frontends/lean/builtin_cmds): allow "constant" edges in the instance transitive closure graph
2015-06-29 18:57:05 -07:00
Leonardo de Moura
3cd81051c6
refactor(library/data/real/division): remove unnecessary 'xrewrite'
2015-06-27 14:07:32 -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
8d0518444d
chore(library/data/{pnat, real}): rename pnat theorems
2015-06-16 11:30:12 -07:00
Rob Lewis
ff0ba6687e
feat(library/algebra/ordered_field): move identity about abs to ordered_field
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
b1404c5943
feat(library/data/real): fill in sorrys in proof that R is l.o. field
2015-06-01 23:00:53 +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
