Theorems · Theorem · group theory

CommGroup.apply_monoidHomMonoidHomEquiv

∀ {G : Type u_1} (M : Type u_2) [inst : CommGroup G] [inst_1 : Finite G] [inst_2 : CommMonoid M]
  [hM : HasEnoughRootsOfUnity M (Monoid.exponent G)] (φ : G →* Mˣ) (η : (G →* Mˣ) →* Mˣ),
  φ ((CommGroup.monoidHomMonoidHomEquiv G M) η) = η φ

Defined in

Mathlib.GroupTheory.FiniteAbelian.Duality

Cited by

0 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupFiniteCommMonoidHasEnoughRootsOfUnity