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Theorems · Definition · category theory

CategoryTheory.wideInducedFunctor

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₂} D] →
      (F : C → D) →
        (P : CategoryTheory.MorphismProperty D) →
          [inst_1 : P.IsMultiplicative] → CategoryTheory.Functor (CategoryTheory.InducedWideCategory D F P) D

The forgetful functor from an induced wide category to the original category.

Defined in
Mathlib.CategoryTheory.Widesubcategory
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicative
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.wideSubcategoryInclusion · cited by 2CategoryTheory.wideSubcat…CategoryTheory.wideInducedFunctor_map · cited by 0CategoryTheory.wideInduce…CategoryTheory.wideInducedFunctor_obj · cited by 0CategoryTheory.wideInduce…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…CategoryTheory.InducedWideCategory.Hom.hom · cited by 19Hom.homCategoryTheory.InducedWideCategory · cited by 12CategoryTheory.InducedWid…CategoryTheory.wideInducedFun…CITED BYCITES

Cites7

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Cited by3

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