CategoryTheory.Functor.CommShift.isoAdd.proof_1

theorem CategoryTheory.Functor.CommShift.isoAdd.proof_1 : ∀ {A : Type u_1} [inst : AddMonoid A] {a b : A}, a + b = a + b

This theorem states that for any type 'A' that forms an addition monoid, and for any two elements 'a' and 'b' of type 'A', the sum of 'a' and 'b' is equal to the sum of 'a' and 'b'. Essentially, it's simply asserting that the addition operation is well-defined and consistent in such a context. It's a fundamental property of addition in any additive monoid, which includes structures like integers, real numbers, matrices, and more.

More concisely: For any additive monoid type 'A' and elements 'a' and 'b' of type 'A', the operation + is commutative, i.e., a + b = b + a.