Theorems · Theorem · category theory

CategoryTheory.GradedObject.mapObj_ext

∀ {I : Type u_1} {J : Type u_2} {C : Type u_4} [inst : CategoryTheory.Category.{v_1, u_4} C]
  (X : CategoryTheory.GradedObject I C) (p : I → J) [inst_1 : X.HasMap p] {A : C} {j : J} (f g : X.mapObj p j ⟶ A),
  (∀ (i : I) (hij : p i = j),
      CategoryTheory.CategoryStruct.comp (X.ιMapObj p i j hij) f =
        CategoryTheory.CategoryStruct.comp (X.ιMapObj p i j hij) g) →
    f = g

Defined in

Mathlib.CategoryTheory.GradedObject

Cited by

14 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GradedObject.HasMap