Theorems · Definition · order theory
preordToPartOrd
CategoryTheory.Functor Preord PartOrd
Antisymmetrization as a functor. It is the free functor.
- Defined in
- Mathlib.Order.Category.PartOrd
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- PartOrdstatement · cited by 65
- Preordstatement and proof · cited by 42
- Preord.carrierproof · cited by 35
- Antisymmetrizationproof · cited by 25
- Preord.Hom.homproof · cited by 13
- PartOrd.ofHomproof · cited by 11
- OrderHom.antisymmetrizationproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrdstatement · cited by 3
- 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 and proof · cited by 0
- preordToPartOrdForgetAdjunctionstatement and proof · cited by 0