Theorems · Definition · category theory
CategoryTheory.Subobject.Classifier.truth
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → (self : CategoryTheory.Subobject.Classifier C) → self.Ω₀ ⟶ self.ΩThe truth morphism of the subobject classifier
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- 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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Subobject.Classifierstatement and proof · cited by 46
- CategoryTheory.Subobject.Classifier.Ωstatement · cited by 33
- CategoryTheory.Subobject.Classifier.Ω₀statement · cited by 26
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.Classifier.homproof · cited by 13
- CategoryTheory.HasSubobjectClassifier.truthproof · cited by 8
- CategoryTheory.Subobject.Classifier.uniqstatement · cited by 6
- CategoryTheory.Subobject.Classifier.isPullbackstatement · cited by 5
- CategoryTheory.Subobject.Classifier.ofEquivalenceproof · cited by 5
- CategoryTheory.Subobject.Classifier.ofIsostatement and proof · cited by 5
- CategoryTheory.Subobject.Classifier.truth_as_subobjectproof · cited by 4
- CategoryTheory.Subobject.Classifier.surjective_χproof · cited by 2
- CategoryTheory.Subobject.Classifier.truth_comp_homstatement and proof · cited by 2
- CategoryTheory.Subobject.Classifier.χ_comp_homproof · cited by 2
- CategoryTheory.Subobject.Classifier.hom_comp_homproof · cited by 2
- CategoryTheory.Subobject.Classifier.χ_pullback_obj_mk_truth_arrowproof · cited by 1