Theorems · Definition · category theory

CategoryTheory.Functor.HasPointwiseRightDerivedFunctorAt.recOn

{C : Type u₁} →
  {H : Type u₃} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} H] →
        {F : CategoryTheory.Functor C H} →
          {W : CategoryTheory.MorphismProperty C} →
            {X : C} →
              {motive : F.HasPointwiseRightDerivedFunctorAt W X → Sort u} →
                (t : F.HasPointwiseRightDerivedFunctorAt W X) →
                  ((hasColimit' : W.Q.HasPointwiseLeftKanExtensionAt F (W.Q.obj X)) → motive ⋯) → motive t

Defined in

Mathlib.CategoryTheory.Functor.Derived.PointwiseRightDerived

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category