Theorems · Definition · order theory
PartOrd.dualEquiv
PartOrd ≌ PartOrd
The equivalence between PartOrd and itself induced by OrderDual both ways.
- Defined in
- Mathlib.Order.Category.PartOrd
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- PartOrd.carrierproof · cited by 93
- PartOrdstatement and proof · cited by 65
- PartOrd.dualproof · cited by 13
- OrderIso.dualDualproof · cited by 8
- PartOrd.Iso.mkproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PartOrd.dualEquiv_functorstatement and proof · cited by 0
- PartOrd.dualEquiv_inversestatement and proof · cited by 0