CategoryTheory.Classifier.ofEquivalence

Deprecated since 2026-03-06Use CategoryTheory.Subobject.Classifier.ofEquivalence instead.

{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

Alias of CategoryTheory.Subobject.Classifier.ofEquivalence. The image of a subobject classifier under an equivalence of categories is a subobject classifier.

Defined in: Mathlib.CategoryTheory.Subobject.Classifier.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category

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CategoryTheory.Categorystatement · cited by 32,673
CategoryTheory.Equivalencestatement · cited by 601
CategoryTheory.Subobject.Classifierstatement · cited by 46
CategoryTheory.Subobject.Classifier.ofEquivalenceproof · cited by 5

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