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Theorems · Theorem · order theory

LinOrd.comp_apply

∀ {X Y Z : LinOrd} (f : X ⟶ Y) (g : Y ⟶ Z) (x : ↑X),
  (CategoryTheory.ConcreteCategory.hom (CategoryTheory.CategoryStruct.comp f g)) x =
    (CategoryTheory.ConcreteCategory.hom g) ((CategoryTheory.ConcreteCategory.hom f) x)
Defined in
Mathlib.Order.Category.LinOrd
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Foundations
Depth 23 from the axioms · uses propext
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homOrderHom · cited by 934OrderHomLinOrd.carrier · cited by 48LinOrd.carrierLinOrd · cited by 46LinOrdLinOrd.Hom.hom · cited by 18Hom.homOrderHom.comp_coe · cited by 17OrderHom.comp_coeLinOrd.comp_applyCITED BYCITES

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