Theorems · Definition · category theory

CategoryTheory.coreFunctor

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (D : Type u₂) →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Functor (CategoryTheory.Core (CategoryTheory.Functor C D))
          (CategoryTheory.Functor (CategoryTheory.Core C) (CategoryTheory.Core D))

Taking the core of a functor is functorial if we discard non-invertible natural transformations.

Defined in

Mathlib.CategoryTheory.Core

Cited by

5 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category