instNonUnitalCommSemiring — Mathlib

English

If R is a NonUnitalCommSemiring with IsTopologicalSemiring, SeparationQuotient R is NonUnitalCommSemiring.

Русский

Если R — неединообразная коммутативная полугруппа с IsTopologicalSemiring, SeparationQuotient R — NonUnitalCommSemiring.

LaTeX

$$$NonUnitalCommSemiring\left(\mathrm{SeparationQuotient}(R)\right)$$$

Lean4

instance instNonUnitalCommSemiring [NonUnitalCommSemiring R] [IsTopologicalSemiring R] :
    NonUnitalCommSemiring (SeparationQuotient R) :=
  surjective_mk.nonUnitalCommSemiring mk mk_zero mk_add mk_mul mk_smul

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