Theorems · Theorem · group theory

CommGroup.monoidHomMonoidHomEquiv_symm_apply_apply

∀ (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)] (a : G) (φ : G →* Mˣ),
  ((CommGroup.monoidHomMonoidHomEquiv G M).symm a) φ = φ a

Defined in

Mathlib.GroupTheory.FiniteAbelian.Duality

Cited by

2 results in Mathlib

Foundations

Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupFiniteCommMonoidHasEnoughRootsOfUnity