Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.relative.property_snd

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F : CategoryTheory.Functor C D} {X Y : D} {P : CategoryTheory.MorphismProperty C} {f : X ⟶ Y}
  (hf : CategoryTheory.MorphismProperty.relative F P f) {a : C} (g : F.obj a ⟶ Y), P (⋯.snd g)

Defined in

Mathlib.CategoryTheory.MorphismProperty.Representable

Cited by

1 results in Mathlib

Foundations

Depth 14 from the axioms · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Category