Theorems · Definition · category theory

CategoryTheory.MorphismProperty.surjective

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    {FC : C → C → Type u_1} →
      {CC : C → Type u_2} →
        [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] →
          [CategoryTheory.ConcreteCategory C FC] → CategoryTheory.MorphismProperty C

Surjectivity (in a concrete category) as a MorphismProperty

Defined in

Mathlib.CategoryTheory.MorphismProperty.Concrete

Cited by

4 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory