Theorems · Definition · order theory
LinOrd.Hom.hom
{X Y : LinOrd} → X.Hom Y → ↑X →o ↑YTurn a morphism in LinOrd back into a OrderHom.
- Defined in
- Mathlib.Order.Category.LinOrd
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
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
- LinOrd.carrierstatement · cited by 48
- LinOrdstatement and proof · cited by 46
- LinOrd.Homstatement and proof · cited by 2
Cited by21
Results whose statement or proof uses this declaration.
- LinOrd.dualproof · cited by 5
- NonemptyFinLinOrd.dualproof · cited by 4
- NonemptyFinLinOrd.hom_extstatement and proof · cited by 3
- LinOrd.hom_extstatement and proof · cited by 1
- NonemptyFinLinOrd.dual_mapstatement · cited by 0
- NonemptyFinLinOrd.epi_iff_surjectiveproof · cited by 0
- SimplexCategory.skeletalFunctor.coe_mapstatement · cited by 0
- NonemptyFinLinOrd.hom_ext_iffstatement and proof · cited by 0
- NonemptyFinLinOrd.hom_hom_compstatement · cited by 0
- NonemptyFinLinOrd.hom_hom_idstatement · cited by 0
- NonemptyFinLinOrd.hom_hom_ofHomstatement · cited by 0
- LinOrd.comp_applyproof · cited by 0