Theorems · Theorem · category theory

CategoryTheory.EnrichedFunctor.hom_ext

∀ {V : Type v} [inst : CategoryTheory.Category.{w, v} V] [inst_1 : CategoryTheory.MonoidalCategory V] {C : Type u₁}
  [inst_2 : CategoryTheory.EnrichedCategory V C] {D : Type u₂} [inst_3 : CategoryTheory.EnrichedCategory V D]
  {F G : CategoryTheory.EnrichedFunctor V C D} {α β : F ⟶ G}, (∀ (X : C), α.out.app X = β.out.app X) → α = β

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory