Theorems · Theorem · category theory
Preord.hom_comp
∀ {X Y Z : Preord} (f : X ⟶ Y) (g : Y ⟶ Z),
Preord.Hom.hom (CategoryTheory.CategoryStruct.comp f g) = (Preord.Hom.hom g).comp (Preord.Hom.hom f)- Defined in
- Mathlib.Order.Category.Preord
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
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Cites7
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
- OrderHom.compstatement · cited by 61
- Preordstatement and proof · cited by 42
- Preord.carrierstatement · cited by 35
- Preord.Hom.homstatement · cited by 13
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