Theorems · Theorem · order theory
AddGroup.covariant_swap_iff_contravariant_swap
∀ {N : Type u_2} {r : N → N → Prop} [inst : AddGroup N],
Covariant N N (Function.swap fun x1 x2 => x1 + x2) r ↔ Contravariant N N (Function.swap fun x1 x2 => x1 + x2) r- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddGroup
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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
- Function.swapstatement and proof · cited by 216
- add_neg_cancel_rightproof · cited by 65
- Covariantstatement and proof · cited by 12
- Contravariantstatement and proof · cited by 12
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