Theorems · Definition · category theory

CategoryTheory.ShiftMkCore.add

{C : Type u} →
  {A : Type u_1} →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : AddMonoid A] →
        (self : CategoryTheory.ShiftMkCore C A) → (n m : A) → self.F (n + m) ≅ (self.F n).comp (self.F m)

the composition of shift functors identifies to the shift by the sum

Defined in

Mathlib.CategoryTheory.Shift.Basic

Cited by

9 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAddMonoid