Theorems · Definition · category theory
CategoryTheory.Subobject.Classifier.uniqueUpToIso
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → (𝒞₁ 𝒞₂ : CategoryTheory.Subobject.Classifier C) → 𝒞₁.Ω ≅ 𝒞₂.Ωa concrete equivalence of any two subobject classifiers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Subobject.Classifierstatement and proof · cited by 46
- CategoryTheory.Subobject.Classifier.Ωstatement · cited by 33
- CategoryTheory.Subobject.Classifier.homproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.Classifier.uniqueUpToIso_invstatement and proof · cited by 0
- CategoryTheory.Classifier.uniqueUpToIsoproof · cited by 0
- CategoryTheory.Subobject.Classifier.uniqueUpToIso_homstatement and proof · cited by 0