Theorems · Theorem · order theory
AddGroup.covariant_iff_contravariant
∀ {N : Type u_2} {r : N → N → Prop} [inst : AddGroup N],
Covariant N N (fun x1 x2 => x1 + x2) r ↔ Contravariant N N (fun x1 x2 => x1 + x2) r- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- neg_add_cancel_leftproof · cited by 84
- Contravariantstatement and proof · cited by 12
- Covariantstatement and proof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.