Theorems · Definition · category theory

CategoryTheory.Functor.core

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

A functor C ⥤ D induces a functor Core C ⥤ Core D.

Defined in

Mathlib.CategoryTheory.Core

Cited by

36 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category