Theorems · Definition · category theory
CategoryTheory.Subobject.Classifier.hom
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → (𝒞₁ 𝒞₂ : CategoryTheory.Subobject.Classifier C) → 𝒞₁.Ω ⟶ 𝒞₂.ΩThe unique morphism between classifiers mapping each others characteristic maps
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.truthproof · cited by 19
- CategoryTheory.Subobject.Classifier.χproof · cited by 17
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.Classifier.hom_comp_homstatement · cited by 2
- CategoryTheory.Subobject.Classifier.truth_comp_homstatement · cited by 2
- CategoryTheory.Subobject.Classifier.uniqueUpToIsoproof · cited by 2
- CategoryTheory.Subobject.Classifier.χ_comp_homstatement · cited by 2
- CategoryTheory.Subobject.Classifier.hom_reflstatement · cited by 1
- CategoryTheory.Classifier.homproof · cited by 0
- CategoryTheory.Classifier.hom_comp_homstatement · cited by 0
- CategoryTheory.Classifier.hom_reflstatement · cited by 0
- CategoryTheory.Subobject.Classifier.hom_comp_hom_assocstatement and proof · cited by 0
- CategoryTheory.Subobject.Classifier.truth_comp_hom_assocstatement and proof · cited by 0
- CategoryTheory.Classifier.truth_comp_homstatement · cited by 0
- CategoryTheory.Subobject.Classifier.uniqueUpToIso_homstatement · cited by 0