Theorems · Definition · order theory
LinOrd.Iso.mk
{α β : LinOrd} → ↑α ≃o ↑β → (α ≅ β)Constructs an equivalence between linear orders from an order isomorphism between them.
- Defined in
- Mathlib.Order.Category.LinOrd
- 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
- LinOrd.carrierstatement and proof · cited by 48
- LinOrdstatement and proof · cited by 46
- OrderHomClass.toOrderHomproof · cited by 44
- LinOrd.ofHomproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- LinOrd.dualEquivproof · cited by 2
- LinOrd.Iso.mk_homstatement and proof · cited by 0
- LinOrd.Iso.mk_invstatement and proof · cited by 0