Commit 2022-03-03 00:08 9deeddb3
View on Github →feat(algebra/algebra/operations): submodule.map_pow
and opposite lemmas (#12374)
To prove map_pow
, we add submodule.map_hom
to match the very-recently-added ideal.map_hom
.
The opposite lemmas can be used to extend these results for maps that reverse multiplication, by factoring them into an alg_hom
into the opposite type composed with mul_opposite.op
.
(↑(op_linear_equiv R : A ≃ₗ[R] Aᵐᵒᵖ) : A →ₗ[R] Aᵐᵒᵖ)
is really a mouthful, but the elaborator can't seem to work out the type any other way, and .to_linear_map
appears not to be the preferred form for simp
lemmas.