instNonUnitalSemiring — Mathlib

English

If R is a NonUnitalSemiring with IsTopologicalSemiring, then SeparationQuotient R is a NonUnitalSemiring.

Русский

Если R — безединообразная полугруппа с IsTopologicalSemiring, то SeparationQuotient R — безединообразная полугруппа.

LaTeX

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

Lean4

instance instNonUnitalSemiring [NonUnitalSemiring R] [IsTopologicalSemiring R] :
    NonUnitalSemiring (SeparationQuotient R) :=
  surjective_mk.nonUnitalSemiring mk mk_zero mk_add mk_mul mk_smul

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