Theorems · Theorem · group theory

Set.smul_set_iInter

∀ {α : Type u_2} {β : Type u_3} [inst : Group α] [inst_1 : MulAction α β] {ι : Sort u_5} (a : α) (t : ι → Set β),
  a • ⋂ i, t i = ⋂ i, a • t i

Defined in

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

Cited by

1 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulAction