Theorems · Theorem · category theory

CategoryTheory.IsGrothendieckAbelian.generatingMonomorphisms.lt_largerSubobject

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {G : C} [inst_1 : CategoryTheory.Abelian C]
  (hG : CategoryTheory.IsSeparator G) {X : C} (A : CategoryTheory.Subobject X),
  A ≠ ⊤ → A < CategoryTheory.IsGrothendieckAbelian.generatingMonomorphisms.largerSubobject hG A

Defined in

Mathlib.CategoryTheory.Abelian.GrothendieckCategory.EnoughInjectives

Cited by

2 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian