Theorems · Theorem · category theory
CategoryTheory.wideInducedFunctor_obj
∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₂} D] (F : C → D)
(P : CategoryTheory.MorphismProperty D) [inst_1 : P.IsMultiplicative] (a : C),
(CategoryTheory.wideInducedFunctor F P).obj a = F a- Defined in
- Mathlib.CategoryTheory.Widesubcategory
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- Foundations
- Depth 13 from the axioms · uses propext
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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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- CategoryTheory.InducedWideCategorystatement · cited by 12
- CategoryTheory.wideInducedFunctorstatement and proof · cited by 2
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