Theorems · Theorem · category theory

CategoryTheory.ComposableArrows.hom_ext_succ

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {n : ℕ} {F G : CategoryTheory.ComposableArrows C (n + 1)}
  {f g : F ⟶ G},
  CategoryTheory.ComposableArrows.app' f 0 ⋯ = CategoryTheory.ComposableArrows.app' g 0 ⋯ →
    CategoryTheory.ComposableArrows.δ₀Functor.map f = CategoryTheory.ComposableArrows.δ₀Functor.map g → f = g

Defined in

Mathlib.CategoryTheory.ComposableArrows.Basic

Cited by

4 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category