Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.map_mem_strictMap

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  (P : CategoryTheory.MorphismProperty C) (F : CategoryTheory.Functor C D) {X Y : C} (f : X ⟶ Y),
  P f → P.strictMap F (F.map f)

Defined in

Mathlib.CategoryTheory.MorphismProperty.Basic

Cited by

3 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category