Theorems · Definition · category theory

CategoryTheory.Limits.initialComparison

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (G : CategoryTheory.Functor C D) →
          [inst_2 : CategoryTheory.Limits.HasInitial C] →
            [inst_3 : CategoryTheory.Limits.HasInitial D] → ⊥_ D ⟶ G.obj (⊥_ C)

The comparison morphism from the initial object in the target category to the image of the initial object.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Terminal

Cited by

2 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasInitialCategoryTheory.Limits.HasInitial