Theorems · Definition · category theory
CategoryTheory.Subobject.Classifier.truth_as_subobject
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → (𝒞 : CategoryTheory.Subobject.Classifier C) → CategoryTheory.Subobject 𝒞.ΩThe subobject of 𝒞.Ω corresponding to the truth morphism.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 31 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.
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
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.mkproof · cited by 109
- CategoryTheory.Subobject.Classifierstatement and proof · cited by 46
- CategoryTheory.Subobject.Classifier.Ωstatement · cited by 33
- CategoryTheory.Subobject.Classifier.truthproof · cited by 19
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Subobject.Classifier.pullback_χ_obj_mk_truthstatement · cited by 1
- CategoryTheory.Subobject.Classifier.χ_pullback_obj_mk_truth_arrowstatement and proof · cited by 1
- CategoryTheory.Subobject.Classifier.representableByproof · cited by 1
- CategoryTheory.Classifier.χ_pullback_obj_mk_truth_arrowstatement · cited by 0
- CategoryTheory.Classifier.pullback_χ_obj_mk_truthstatement · cited by 0
- CategoryTheory.Classifier.truth_as_subobjectproof · cited by 0