Leonardo de Moura
54f2c0f254
feat(library/blast/forward): inst_simp should use the left-hand-side as a pattern (if none is provided by the user)
...
The motivation is to reduce the number of instances generated by ematching.
For example, given
inv_inv: forall a, (a⁻¹)⁻¹ = a
the new heuristic uses ((a⁻¹)⁻¹) as the pattern.
This matches the intuition that inv_inv should be used a simplification
rule.
The default pattern inference procedure would use (a⁻¹). This is bad
because it generates an infinite chain of instances whenever there is a
term (a⁻¹) in the proof state.
By using (a⁻¹), we get
(a⁻¹)⁻¹ = a
Now that we have (a⁻¹)⁻¹, we can match again and generate
((a⁻¹)⁻¹)⁻¹ = a⁻¹
and so on
2015-12-31 20:20:39 -08:00
Leonardo de Moura
b35abcc6a8
refactor(library): rename strategy "msimp" ==> "inst_simp"
...
"inst_simp" means "instantiate simplification lemmas"
The idea is to make it clear that this strategy is *not* a simplifier.
2015-12-31 12:45:48 -08:00
Leonardo de Moura
dc6a3e30c0
refactor(library): test simp and msimp in the standard library
2015-12-30 11:22:58 -08:00
Leonardo de Moura
b94e31a72c
refactor(library): remove algebra namespace
2015-12-05 23:50:01 -08:00
Daniel Selsam
934b502c6f
refactor(algebra/numeral): prove lemmas incrementally
2015-12-05 08:56:56 -08:00
Rob Lewis
4bf0519843
feat(norm_num): numeral normalizer works for +, -, *, /
2015-11-12 20:53:37 -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
Jeremy Avigad
697df0e68c
refactor(library/*): use type classes for div and mod
2015-11-08 14:04:59 -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
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
Sebastian Ullrich
d1b5031dbd
feat(library): add some spacing hints
2015-09-30 17:36:32 -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
Rob Lewis
00262e4e47
feat(library/algebra): finish adding one-directional versions of iff theorems
2015-08-07 13:30:23 -07:00
Leonardo de Moura
a53ac25ca8
chore(library): remove outdated comments
2015-07-31 08:37:24 -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
f88038c3e7
feat(library/algebra/field): add missing theorems to field
2015-07-31 08:28:36 -07:00
Leonardo de Moura
48f8b8f18d
refactor(library): use new 'suppose'-expression
2015-07-19 21:15:20 -07:00
Leonardo de Moura
77d5657813
refactor(library/algebra/function): move function.lean to init folder
...
Motivation: this file defines basic things such as function composition.
In the HoTT library, it is located in the init folder.
2015-07-06 07:29:56 -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
Leonardo de Moura
3215af3926
feat(frontends/lean): add '[trans-instance]' attribute
...
see issue #666
2015-06-27 14:07:29 -07:00
Rob Lewis
b23e23061f
feat(library/algebra): finish/move more general theorems from reals to algebra)
2015-06-16 11:30:12 -07:00
Jeremy Avigad
8bebd104ff
refactor(library/*): remove 'Module:' lines
2015-05-23 20:52:23 +10:00
Jeremy Avigad
d33c91d7b9
fix({hott,library}/algebra/*): fix names
2015-05-23 14:05:06 +10:00
Leonardo de Moura
19361f0196
feat(library/unifier): do not fire type class resolution as last resort when type contains metavariables
...
see discussion at #604
2015-05-18 15:45:23 -07:00
Jeremy Avigad
6359132b67
refactor(library/algebra/field.lean): rename has_decidable_eq and declare instance
2015-04-18 11:39:52 -07:00
Rob Lewis
abcc56a2a7
feat(library/algebra):refactor field and ordered_field more appropriately
2015-03-27 11:54:11 -07:00
Rob Lewis
b79f600fbc
style(library/algebra/ordered_field):fix indentation, shorten calc statements
2015-03-27 11:52:30 -07:00
Rob Lewis
94b9aaea45
feat(library/algebra/ordered_field): prove more theorems
2015-03-27 11:52:30 -07:00
Rob Lewis
4099de7754
feat(library/algebra/field): redefine field so that 1/0=0. Many theorems lose hypotheses in discrete setting.
2015-03-27 11:52:29 -07:00
Rob Lewis
11f82eacfb
feat(library/algebra/ordered_field.lean): add ordered fields
2015-03-27 11:45:57 -07:00
Jeremy Avigad
765f6f21f8
fix(library/algebra/ring.lean): allow degenerate semirings and rings, but not degenerate ordered_semirings and ordered_rings. Closes #478 .
2015-03-25 18:29:06 -07:00
Rob Lewis
10f1232296
feat(library/algebra/field): fix broken theorems
2015-02-28 08:49:28 -08:00
Rob Lewis
8ef2849b67
feat(library/algebra/fields): prove more theorems about division rings
2015-02-28 08:49:28 -08:00
Jeremy Avigad
a8cf58d97c
feat(library/algebra/field): define discrete field
2015-02-28 08:49:28 -08:00
Rob Lewis
eef2e99a1c
feat(library/algebra/field): add theorems about division rings
2015-02-28 08:49:05 -08:00
Rob Lewis
b8f0341119
feat(library/algebra): add field.lean
2015-02-28 08:48:48 -08:00
