Commit 2021-03-31 14:28 23dbb4cf
View on Github →feat(tactic/elementwise): autogenerate lemmas in concrete categories (#6941)
The elementwise
attribute
The elementwise
attribute can be applied to a lemma
@[elementwise]
lemma some_lemma {C : Type*} [category C] {X Y : C} (f g : X ⟶ Y) : f = g := ...
and produce
lemma some_lemma_apply {C : Type*} [category C] [concrete_category C]
{X Y : C} (f g : X ⟶ Y) (x : X) : f x = g x := ...
(Here X
is being coerced to a type via concrete_category.has_coe_to_sort
and
f
and g
are being coerced to functions via concrete_category.has_coe_to_fun
.)
The name of the produced lemma can be specified with @[elementwise other_lemma_name]
.
If simp
is added first, the generated lemma will also have the simp
attribute.