Theorems · Definition · category theory
CategoryTheory.Classifier.truth_as_subobject
Deprecated since 2026-03-06Use CategoryTheory.Subobject.Classifier.truth_as_subobject instead.
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → (𝒞 : CategoryTheory.Subobject.Classifier C) → CategoryTheory.Subobject 𝒞.ΩAlias of CategoryTheory.Subobject.Classifier.truth_as_subobject.
The subobject of 𝒞.Ω corresponding to the truth morphism.
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- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.Classifierstatement · cited by 46
- CategoryTheory.Subobject.Classifier.Ωstatement · cited by 33
- CategoryTheory.Subobject.Classifier.truth_as_subobjectproof · cited by 4
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