Theorems · Theorem · category theory

CategoryTheory.Functor.Faithful.of_comp_eq

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] {F : CategoryTheory.Functor C D}
  {G : CategoryTheory.Functor D E} {H : CategoryTheory.Functor C E} [ℋ : H.Faithful], F.comp G = H → F.Faithful

Defined in

Mathlib.CategoryTheory.Functor.FullyFaithful

Cited by

1 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.Faithful