Theorems · Theorem · category theory
BddOrd.hom_comp
∀ {X Y Z : BddOrd} (f : X ⟶ Y) (g : Y ⟶ Z),
BddOrd.Hom.hom (CategoryTheory.CategoryStruct.comp f g) = (BddOrd.Hom.hom g).comp (BddOrd.Hom.hom f)- Defined in
- Mathlib.Order.Category.BddOrd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
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Cites8
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
- PartOrd.carrierstatement · cited by 93
- BoundedOrderHomstatement · cited by 54
- BddOrdstatement and proof · cited by 34
- BddOrd.toPartOrdstatement · cited by 29
- BoundedOrderHom.compstatement · cited by 14
- BddOrd.Hom.homstatement · cited by 8
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