Theorems · Definition · order theory
FinPartOrd.dualEquiv
FinPartOrd ≌ FinPartOrd
The equivalence between FinPartOrd and itself induced by OrderDual both ways.
- Defined in
- Mathlib.Order.Category.FinPartOrd
- Cited by
- 4 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.
Cites8
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
- FinPartOrdstatement and proof · cited by 24
- FinPartOrd.toPartOrdproof · cited by 19
- OrderIso.dualDualproof · cited by 8
- FinPartOrd.dualproof · cited by 6
- FinPartOrd.Iso.mkproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- FinPartOrd.dualEquiv_counitIsostatement and proof · cited by 0
- FinPartOrd.dualEquiv_functorstatement and proof · cited by 0
- FinPartOrd.dualEquiv_inversestatement and proof · cited by 0
- FinPartOrd.dualEquiv_unitIsostatement and proof · cited by 0