Theorems · Definition · order theory
PartOrd.Iso.mk
{α β : PartOrd} → ↑α ≃o ↑β → (α ≅ β)Constructs an equivalence between partial orders from an order isomorphism between them.
- Defined in
- Mathlib.Order.Category.PartOrd
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, 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.Isostatement · cited by 3,963
- OrderIsostatement and proof · cited by 874
- OrderIso.symmproof · cited by 475
- PartOrd.carrierstatement and proof · cited by 93
- PartOrdstatement and proof · cited by 65
- OrderHomClass.toOrderHomproof · cited by 44
- PartOrd.ofHomproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrdproof · cited by 3
- PartOrd.dualEquivproof · cited by 2
- PartOrd.Iso.mk_homstatement and proof · cited by 0
- PartOrd.Iso.mk_invstatement and proof · cited by 0