Theorems · Definition · group theory

MulAction.compHom

{M : Type u_1} →
  {N : Type u_2} → (α : Type u_3) → [inst : Monoid M] → [MulAction M α] → [inst_2 : Monoid N] → (N →* M) → MulAction N α

A multiplicative action of M on α and a monoid homomorphism N → M induce a multiplicative action of N on α. See note [reducible non-instances].

Defined in

Mathlib.Algebra.Group.Action.Hom

Cited by

7 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

MonoidMulActionMonoid