Theorems · Theorem · category theory

CategoryTheory.Limits.prod.comp_lift

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {V W X Y : C}
  [inst_1 : CategoryTheory.Limits.HasBinaryProduct X Y] (f : V ⟶ W) (g : W ⟶ X) (h : W ⟶ Y),
  CategoryTheory.CategoryStruct.comp f (CategoryTheory.Limits.prod.lift g h) =
    CategoryTheory.Limits.prod.lift (CategoryTheory.CategoryStruct.comp f g) (CategoryTheory.CategoryStruct.comp f h)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

46 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProduct