Theorems · Theorem · order theory
NonemptyFinLinOrd.hom_hom_comp
∀ {X Y Z : NonemptyFinLinOrd} (f : X ⟶ Y) (g : Y ⟶ Z),
LinOrd.Hom.hom (CategoryTheory.CategoryStruct.comp f g).hom = (LinOrd.Hom.hom g.hom).comp (LinOrd.Hom.hom f.hom)- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- OrderHomstatement · cited by 934
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- OrderHom.compstatement · cited by 61
- LinOrd.carrierstatement · cited by 48
- LinOrdstatement · cited by 46
- NonemptyFinLinOrdstatement and proof · cited by 27
- NonemptyFinLinOrd.toLinOrdstatement · cited by 19
- LinOrd.Hom.homstatement · cited by 18
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