Theorems · Theorem · group theory

map_pow

∀ {G : Type u_7} {H : Type u_8} {F : Type u_9} [inst : FunLike F G H] [inst_1 : Monoid G] [inst_2 : Monoid H]
  [MonoidHomClass F G H] (f : F) (a : G) (n : ℕ), f (a ^ n) = f a ^ n

See note [hom simp lemma priority]

Defined in

Mathlib.Algebra.Group.Hom.Defs

Cited by

503 results in Mathlib

Foundations

Depth 11 from the axioms, rests on 62 definitions · uses no axioms

Assumes

FunLikeMonoidMonoidMonoidHomClass