Theorems · Theorem · group theory

Finset.smul_mem_smul_finset_iff

∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : Group α] [inst_2 : MulAction α β] {s : Finset β}
  {b : β} (a : α), a • b ∈ a • s ↔ b ∈ s

Defined in

Mathlib.Algebra.Group.Action.Pointwise.Finset

Cited by

4 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqGroupMulAction