Theorems · Definition · order theory
preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd
preordToPartOrd.comp PartOrd.dual ≅ Preord.dual.comp preordToPartOrd
PreordToPartOrd and OrderDual commute.
- Defined in
- Mathlib.Order.Category.PartOrd
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- PartOrdstatement · cited by 65
- Preordstatement and proof · cited by 42
- Preord.carrierproof · cited by 35
- PartOrd.dualstatement · cited by 13
- Preord.dualstatement · cited by 7
- OrderIso.dualAntisymmetrizationproof · cited by 5
- preordToPartOrdstatement · cited by 3
- PartOrd.Iso.mkproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_hom_app_hom_coestatement and proof · cited by 0
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_inv_app_hom_coestatement and proof · cited by 0
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_inv_app_hom_coe'statement · cited by 0