Theorems · Definition · category theory

CategoryTheory.InducedCategory.homMk

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v, u₂} D] →
      {F : C → D} → {X Y : CategoryTheory.InducedCategory D F} → (F X ⟶ F Y) → (X ⟶ Y)

Construct a morphism in the induced category from a morphism in the original category.

Defined in

Mathlib.CategoryTheory.InducedCategory

Cited by

33 results in Mathlib

Foundations

Depth 11 from the axioms · uses propext

Assumes

CategoryTheory.Category