Theorems · Definition · category theory

CategoryTheory.Core.functorToCoreCompLeftIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {G : Type u₂} →
      [inst_1 : CategoryTheory.Groupoid G] →
        {G' : Type u₃} →
          [inst_2 : CategoryTheory.Groupoid G'] →
            (H : CategoryTheory.Functor G C) →
              (F : CategoryTheory.Functor G' G) →
                CategoryTheory.Core.functorToCore (F.comp H) ≅ F.comp (CategoryTheory.Core.functorToCore H)

The functor functorToCore (F ⋙ H) factors through functorToCore H.

Defined in

Mathlib.CategoryTheory.Core

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GroupoidCategoryTheory.Groupoid