Theorems · Definition · category theory
Preord.Hom.hom
{X Y : Preord} → X.Hom Y → ↑X →o ↑YTurn a morphism in Preord back into a OrderHom.
- Defined in
- Mathlib.Order.Category.Preord
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- OrderHomstatement · cited by 934
- Preordstatement and proof · cited by 42
- Preord.carrierstatement · cited by 35
- Preord.Homstatement and proof · cited by 2
Cited by17
Results whose statement or proof uses this declaration.
- Preord.dualproof · cited by 7
- alexDiscEquivPreordproof · cited by 6
- preordToPartOrdproof · cited by 3
- Preord.hom_extstatement and proof · cited by 1
- preordToCat_mapstatement · cited by 0
- alexDiscEquivPreord_counitIsostatement · cited by 0
- alexDiscEquivPreord_inverse_mapstatement · cited by 0
- Preord.comp_applyproof · cited by 0
- alexDiscEquivPreord_unitIsostatement · cited by 0
- Preord.dual_mapstatement · cited by 0
- Preord.hom_compstatement · cited by 0
- Preord.hom_ext_iffstatement and proof · cited by 0