Theorems · Theorem · commutative algebra

Submodule.mapHom_apply

∀ {R : Type u} [inst : CommSemiring R] {A : Type v} [inst_1 : Semiring A] [inst_2 : Algebra R A] {A' : Type u_1}
  [inst_3 : Semiring A'] [inst_4 : Algebra R A'] (f : A →ₐ[R] A') (p : Submodule R A),
  (Submodule.mapHom f) p = Submodule.map f.toLinearMap p

Defined in

Mathlib.Algebra.Algebra.Operations

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebra