instAddCommGroup — Mathlib

English

The set QuadraticMap R M N forms an AddCommMonoid; in particular, addition is commutative and associative, with a zero element.

Русский

Множество QuadraticMap R M N образует AddCommMonoid; сложение коммутативно и ассоциативно, существует нулевой элемент.

LaTeX

$$$\\text{QuadraticMap}(R,M,N)$ is an AddCommMonoid under pointwise addition.$$

Lean4

instance : AddCommGroup (QuadraticMap R M N) :=
  DFunLike.coe_injective.addCommGroup _ coeFn_zero coeFn_add coeFn_neg coeFn_sub (fun _ _ => coeFn_smul _ _) fun _ _ =>
    coeFn_smul _ _

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