Theorems · Definition · category theory

CategoryTheory.Limits.HasZeroObject.zeroIsoInitial

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroObject C] → [inst_2 : CategoryTheory.Limits.HasInitial C] → 0 ≅ ⊥_ C

The (unique) isomorphism between the chosen initial object and the chosen zero object.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.ZeroObjects

Cited by

4 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasInitial