Theorems · Definition · category theory

CategoryTheory.Limits.IsInitial.uniqueUpToIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {I I' : C} → CategoryTheory.Limits.IsInitial I → CategoryTheory.Limits.IsInitial I' → (I ≅ I')

If I and I' are initial, they are isomorphic.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.IsTerminal

Cited by

8 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category