Theorems · Definition · group theory

Set.mulActionSet

{α : Type u_2} → {β : Type u_3} → [inst : Monoid α] → [MulAction α β] → MulAction α (Set β)

A multiplicative action of a monoid on a type β gives a multiplicative action on Set β.

Defined in

Mathlib.Algebra.Group.Action.Pointwise.Set.Basic

Cited by

95 results in Mathlib

Foundations

Depth 11 from the axioms, rests on 58 definitions · uses propext, Quot.sound

Assumes

MonoidMulAction