Theorems · Theorem · category theory

CategoryTheory.Limits.initial.to_comp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasInitial C] {P Q : C}
  (f : P ⟶ Q),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.initial.to P) f = CategoryTheory.Limits.initial.to Q

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Terminal

Cited by

11 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasInitial