Theorems · Theorem · group theory
Finset.mem_inv_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}
{a : α} {b : β}, b ∈ a⁻¹ • s ↔ a • b ∈ s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqGroupMulAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- Finset.smulFinsetstatement · cited by 101
- smul_inv_smulproof · cited by 53
- Finset.smul_mem_smul_finset_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.mem_inv_smul_finset_iff₀proof · cited by 0