Theorems · Definition · category theory

CategoryTheory.Subobject.Classifier.ofEquivalence

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u_1} →
      [inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
        CategoryTheory.Subobject.Classifier C → (C ≌ D) → CategoryTheory.Subobject.Classifier D

The image of a subobject classifier under an equivalence of categories is a subobject classifier.

Defined in

Mathlib.CategoryTheory.Subobject.Classifier.Defs

Cited by

5 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category