instCommSemiring — Mathlib

English

When R is a commutative semiring and A is a nonunital commutative semiring with compatible action, Unitization(R, A) is a commutative semiring.

Русский

При R — коммутативная полугруппа-семiring, и A — коммутативная немонолитная полугруппа, Unitization(R, A) — коммутативная полугруппа-колеб.

LaTeX

$$$\text{CommSemiring}(\mathrm{Unitization}(R,A)).$$$

Lean4

instance instCommSemiring [CommSemiring R] [NonUnitalCommSemiring A] [Module R A] [IsScalarTower R A A]
    [SMulCommClass R A A] : CommSemiring (Unitization R A) :=
  { Unitization.instCommMonoid, Unitization.instNonAssocSemiring with }

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