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Theorems · Definition · category theory

CategoryTheory.HasSubobjectClassifier.casesOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.HasSubobjectClassifier C → Sort u_1} →
      (t : CategoryTheory.HasSubobjectClassifier C) →
        ((exists_classifier : Nonempty (CategoryTheory.Subobject.Classifier C)) → motive ⋯) → motive t
Defined in
Mathlib.CategoryTheory.Subobject.Classifier.Defs
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
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Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.hasSubobjectClassifier_iff_isRepresentable · cited by 1CategoryTheory.hasSubobje…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Subobject.Classifier · cited by 46Subobject.ClassifierCategoryTheory.HasSubobjectClassifier · cited by 15CategoryTheory.HasSubobje…HasSubobjectClassifier.casesOnCITED BYCITES

Cites3

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Cited by1

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