Theorems · Theorem · group theory
Finset.inv_smul_finset_distrib
∀ {α : Type u_2} [inst : Group α] [inst_1 : DecidableEq α] (a : α) (s : Finset α), (a • s)⁻¹ = MulOpposite.op a⁻¹ • s⁻¹- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MulOppositestatement · cited by 1,135
- Finset.extproof · cited by 565
- MulOpposite.opstatement and proof · cited by 520
- inv_invproof · cited by 494
- mul_inv_revproof · cited by 270
- Finset.smulFinsetstatement · cited by 101
- Finset.invstatement · cited by 70
Cited by1
Results whose statement or proof uses this declaration.
- Finset.op_smul_convolution_eq_convolution_smulproof · cited by 0