Theorems · Theorem · group theory
Set.Finite.inv
∀ {α : Type u_2} [inst : InvolutiveInv α] {s : Set α}, s.Finite → s⁻¹.FiniteAlias of the reverse direction of Set.finite_inv.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 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.Finitestatement · cited by 1,814
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- Set.finite_invproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.fg_iff_submonoid_fgproof · cited by 5
- Valued.integer.locallyFiniteOrder_units_mrange_of_isCompact_integerproof · cited by 2