Theorems · Theorem · ring theory

MonoidAlgebra.mapAlgEquiv_trans

∀ {R : Type u_1} {A : Type u_4} {B : Type u_5} {C : Type u_6} {M : Type u_7} [inst : CommSemiring R]
  [inst_1 : Semiring A] [inst_2 : Semiring B] [inst_3 : Semiring C] [inst_4 : Algebra R A] [inst_5 : Algebra R B]
  [inst_6 : Algebra R C] [inst_7 : Monoid M] (e₁ : A ≃ₐ[R] B) (e₂ : B ≃ₐ[R] C),
  MonoidAlgebra.mapAlgEquiv R M (e₁.trans e₂) =
    (MonoidAlgebra.mapAlgEquiv R M e₁).trans (MonoidAlgebra.mapAlgEquiv R M e₂)

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

1 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringSemiringSemiringAlgebraAlgebraAlgebraMonoid