Theorems · Theorem · category theory

CategoryTheory.ConcreteCategory.injective_le_monomorphisms

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] {FC : C → C → Type u_1} {CC : C → Type w}
  [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] [inst_2 : CategoryTheory.ConcreteCategory C FC],
  CategoryTheory.MorphismProperty.injective C ≤ CategoryTheory.MorphismProperty.monomorphisms C

Defined in

Mathlib.CategoryTheory.ConcreteCategory.EpiMono

Cited by

1 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory