Theorems · Definition · order theory
NonemptyFinLinOrd.dualEquiv
NonemptyFinLinOrd ≌ NonemptyFinLinOrd
The equivalence between NonemptyFinLinOrd and itself induced by OrderDual both ways.
- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 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
- LinOrd.carrierproof · cited by 48
- NonemptyFinLinOrdstatement and proof · cited by 27
- NonemptyFinLinOrd.toLinOrdproof · cited by 19
- OrderIso.dualDualproof · cited by 8
- NonemptyFinLinOrd.dualproof · cited by 4
- NonemptyFinLinOrd.Iso.mkproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- NonemptyFinLinOrd.dualEquiv_functorstatement and proof · cited by 0
- NonemptyFinLinOrd.dualEquiv_inversestatement and proof · cited by 0