Theorems · Theorem · category theory

CategoryTheory.Limits.mulIsInitial_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasStrictInitialObjects C]
  {I : C} (X : C) [inst_2 : CategoryTheory.Limits.HasBinaryProduct X I] (hI : CategoryTheory.Limits.IsInitial I),
  (CategoryTheory.Limits.mulIsInitial X hI).inv = hI.to (X ⨯ I)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.StrictInitial

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasStrictInitialObjectsCategoryTheory.Limits.HasBinaryProduct