Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.ofObjectProperty_map_le

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P Q : CategoryTheory.ObjectProperty C) {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D),
  (CategoryTheory.MorphismProperty.ofObjectProperty P Q).map F ≤
    CategoryTheory.MorphismProperty.ofObjectProperty (P.map F) (Q.map F)

Defined in

Mathlib.CategoryTheory.MorphismProperty.OfObjectProperty

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category