Theorems · Definition · general topology

Filter.distribMulActionFilter

{α : Type u_2} →
  {β : Type u_3} → [inst : Monoid α] → [inst_1 : AddMonoid β] → [DistribMulAction α β] → DistribMulAction α (Filter β)

A distributive multiplicative action of a monoid on an additive monoid β gives a distributive multiplicative action on Filter β.

Defined in

Mathlib.Order.Filter.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidAddMonoidDistribMulAction