Theorems · Definition · category theory
Preord.dual
CategoryTheory.Functor Preord Preord
OrderDual as a functor.
- Defined in
- Mathlib.Order.Category.Preord
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 20 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.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- OrderDualproof · cited by 927
- OrderHom.dualproof · cited by 48
- Preordstatement and proof · cited by 42
- Preord.carrierproof · cited by 35
- Preord.Hom.homproof · cited by 13
- Preord.ofHomproof · cited by 9
Cited by9
Results whose statement or proof uses this declaration.
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrdstatement · cited by 3
- Preord.dualEquivproof · cited by 2
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_hom_app_hom_coestatement · cited by 0
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_inv_app_hom_coestatement and proof · cited by 0
- preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_inv_app_hom_coe'statement and proof · cited by 0
- Preord.dualEquiv_functorstatement · cited by 0
- Preord.dualEquiv_inversestatement · cited by 0
- Preord.dual_mapstatement and proof · cited by 0
- partOrd_dual_comp_forget_to_preordstatement · cited by 0