Theorems · Theorem · category theory

CategoryTheory.JointlyFaithful.jointlyReflectMonomorphisms

∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_4, u_1} C] {I : Type u_2} {D : I → Type u_3}
  [inst_1 : (i : I) → CategoryTheory.Category.{u_5, u_3} (D i)] {F : (i : I) → CategoryTheory.Functor C (D i)},
  CategoryTheory.JointlyFaithful F → CategoryTheory.JointlyReflectMonomorphisms F

Defined in

Mathlib.CategoryTheory.Functor.ReflectsIso.Jointly

Cited by

1 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category