Theorems · Theorem · category theory

BddDistLat.comp_apply

∀ {X Y Z : BddDistLat} (f : X ⟶ Y) (g : Y ⟶ Z) (x : ↑X.toDistLat),
  (CategoryTheory.ConcreteCategory.hom (CategoryTheory.CategoryStruct.comp f g)) x =
    (CategoryTheory.ConcreteCategory.hom g) ((CategoryTheory.ConcreteCategory.hom f) x)

Defined in: Mathlib.Order.Category.BddDistLat
Cited by: 0 results in Mathlib
Foundations: Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

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DFunLike.coestatement and proof · cited by 62,936
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
BoundedLatticeHomstatement · cited by 185
DistLat.carrierstatement and proof · cited by 83
BddDistLat.toDistLatstatement and proof · cited by 57
BddDistLatstatement and proof · cited by 39
BddDistLat.Hom.homproof · cited by 8

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