Theorems · Definition · category theory

CategoryTheory.InducedCategory.Hom.casesOn

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v, u₂} D] →
      {F : C → D} →
        {X Y : CategoryTheory.InducedCategory D F} →
          {motive : X.Hom Y → Sort u} → (t : X.Hom Y) → ((hom : F X ⟶ F Y) → motive { hom := hom }) → motive t

Defined in

Mathlib.CategoryTheory.InducedCategory

Cited by

2 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.Category