Theorems · Definition · category theory
CategoryTheory.Presheaf.classifier
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
CategoryTheory.Subobject.Classifier (CategoryTheory.Functor Cᵒᵖ (Type (max u v)))A construction of a subject classifier in a category of presheaves.
- Defined in
- Mathlib.CategoryTheory.Topos.Sheaf
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 73 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.
Cites16
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.constproof · cited by 1,264
- CategoryTheory.Monoproof · cited by 893
- CategoryTheory.Subobject.Classifierstatement · cited by 46
- CategoryTheory.Functor.sievesproof · cited by 20
- CategoryTheory.Limits.Types.isTerminalPUnitproof · cited by 12
- CategoryTheory.Presheaf.χproof · cited by 9
- CategoryTheory.Functor.isTerminalConstproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Presheaf.classifier_truthstatement and proof · cited by 0
- CategoryTheory.Presheaf.classifier_Ωstatement and proof · cited by 0
- CategoryTheory.Presheaf.classifier_Ω₀statement and proof · cited by 0
- CategoryTheory.Presheaf.classifier_χstatement and proof · cited by 0
- CategoryTheory.Presheaf.classifier_χ₀statement and proof · cited by 0