Theorems · Definition · category theory

CategoryTheory.GradedObject.mapObj

{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) → [X.HasMap p] → CategoryTheory.GradedObject J C

Given X : GradedObject I C and p : I → J, X.mapObj p is the graded object by J which in degree j consists of the coproduct of the X i such that p i = j.

Defined in

Mathlib.CategoryTheory.GradedObject

Cited by

83 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.GradedObject.HasMap