instCommSemiringQuotient — Mathlib

English

The quotient c.Quotient inherits a commutative semiring structure.

Русский

У фактор-группы Quotient наследуется коммутативная полугруппа-кольцо.

LaTeX

$$$$ c.Quotient \text{ is a CommSemiring. } $$$$

Lean4

instance [CommSemiring R] (c : RingCon R) : CommSemiring c.Quotient :=
  fast_instance%Function.Surjective.commSemiring _ Quotient.mk''_surjective rfl rfl (fun _ _ => rfl) (fun _ _ => rfl)
      (fun _ _ => rfl) (fun _ _ => rfl) fun _ => rfl

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