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Theorems · Theorem · category theory

CategoryTheory.Classifier.hom_refl

Deprecated since 2026-03-06Use CategoryTheory.Subobject.Classifier.hom_refl instead.

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (𝒞₁ : CategoryTheory.Subobject.Classifier C),
  𝒞₁.hom 𝒞₁ = CategoryTheory.CategoryStruct.id 𝒞₁.Ω

Alias of CategoryTheory.Subobject.Classifier.hom_refl.

Defined in
Mathlib.CategoryTheory.Subobject.Classifier.Defs
Cited by
0 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Subobject.Classifier · cited by 46Subobject.ClassifierCategoryTheory.Subobject.Classifier.Ω · cited by 33Classifier.ΩCategoryTheory.Subobject.Classifier.hom · cited by 13Classifier.homCategoryTheory.Subobject.Classifier.hom_refl · cited by 1Classifier.hom_reflClassifier.hom_reflCITED BYCITES

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