Theorems · Inductive type · category theory
CategoryTheory.HasSubobjectClassifier
(C : Type u) → [CategoryTheory.Category.{v, u} C] → PropA category C has a subobject classifier if there is at least one subobject classifier.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by28
Results whose statement or proof uses this declaration.
- CategoryTheory.HasSubobjectClassifier.Ωstatement and proof · cited by 9
- CategoryTheory.HasSubobjectClassifier.truthstatement and proof · cited by 8
- CategoryTheory.HasSubobjectClassifier.χstatement and proof · cited by 8
- CategoryTheory.HasSubobjectClassifier.exists_classifierstatement and proof · cited by 7
- CategoryTheory.HasSubobjectClassifier.commstatement and proof · cited by 2
- CategoryTheory.HasSubobjectClassifier.isPullback_χstatement and proof · cited by 2
- CategoryTheory.hasSubobjectClassifier_iff_isRepresentablestatement and proof · cited by 1
- CategoryTheory.HasSubobjectClassifier.casesOnstatement and proof · cited by 1
- CategoryTheory.HasSubobjectClassifier.uniquestatement and proof · cited by 1
- CategoryTheory.HasSubobjectClassifier.Ω₀statement and proof · cited by 1
- CategoryTheory.HasClassifier.commstatement · cited by 0
- CategoryTheory.HasClassifier.isPullback_χstatement · cited by 0