Theorems · Theorem · group theory
AddSubmonoid.neg_le_neg
∀ {G : Type u_2} [inst : AddGroup G] (S T : AddSubmonoid G), -S ≤ -T ↔ S ≤ T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubmonoidstatement and proof · cited by 1,178
- SetLike.coe_subset_coeproof · cited by 53
- AddSubmonoid.negstatement · cited by 16
- Set.neg_subset_negproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.negOrderIsoproof · cited by 5