Theorems · Theorem · group theory
Submonoid.inv_le_inv
∀ {G : Type u_2} [inst : Group G] (S T : Submonoid G), S⁻¹ ≤ T⁻¹ ↔ S ≤ T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Submonoidstatement and proof · cited by 3,086
- SetLike.coe_subset_coeproof · cited by 53
- Submonoid.invstatement · cited by 15
- Set.inv_subset_invproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.invOrderIsoproof · cited by 5