Theorems · Definition · category theory

CategoryTheory.Iso.core

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

A natural isomorphism of functors induces a natural isomorphism between their cores.

Defined in

Mathlib.CategoryTheory.Core

Cited by

11 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category