Theorems · Definition · category theory

CategoryTheory.Quiv.pathCompositionNaturality

{C : Type u} →
  {D : Type u₁} →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : CategoryTheory.Category.{v₁, u₁} D] →
        (F : CategoryTheory.Functor C D) →
          (CategoryTheory.Cat.freeMap F.toPrefunctor).comp (CategoryTheory.pathComposition D) ≅
            (CategoryTheory.pathComposition C).comp F

Naturality of pathComposition.

Defined in

Mathlib.CategoryTheory.Category.Quiv

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category