Theorems · Theorem · group theory
Set.inv_subset_inv
∀ {α : Type u_2} [inst : InvolutiveInv α] {s t : Set α}, s⁻¹ ⊆ t⁻¹ ↔ s ⊆ t- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- InvolutiveInv
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.
- Setstatement and proof · cited by 53,352
- Equiv.surjectiveproof · cited by 198
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- Equiv.invproof · cited by 23
- Function.Surjective.preimage_subset_preimage_iffproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Set.inv_subsetproof · cited by 4
- Submonoid.inv_le_invproof · cited by 0