Theorems · Theorem · group theory
Set.inv_singleton
∀ {α : Type u_2} [inst : InvolutiveInv α] (a : α), {a}⁻¹ = {a⁻¹}- Cited by
- 9 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InvolutiveInv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.image_singletonproof · cited by 174
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- Set.image_inv_eq_invproof · cited by 44
Cited by9
Results whose statement or proof uses this declaration.
- closedBall_div_singletonproof · cited by 1
- ball_div_singletonproof · cited by 1
- Subgroup.toSubmonoid_zpowersproof · cited by 1
- Subgroup.closure_singleton_invproof · cited by 1
- sphere_div_singletonproof · cited by 1
- Set.inv_insertproof · cited by 0
- Set.singleton_zpowproof · cited by 0
- Submonoid.inv_botproof · cited by 0
- Filter.inv_nhdsNEproof · cited by 0