Theorems · Theorem · ring theory

MonoidAlgebra.coeff_domCongrBialgEquiv_apply

∀ (R : Type u_1) (A : Type u_3) {M : Type u_8} {N : Type u_9} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Bialgebra R A] [inst_3 : Monoid M] [inst_4 : Monoid N] (e : M ≃* N) (a : MonoidAlgebra A M),
  ((MonoidAlgebra.domCongrBialgEquiv R A e) a).coeff = Finsupp.mapDomain (⇑e) a.coeff

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringBialgebraMonoidMonoid