instNonUnitalnonAssocSemiring — Mathlib

English

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

Русский

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

LaTeX

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

Lean4

instance instNonUnitalnonAssocSemiring [NonUnitalNonAssocSemiring R] [IsTopologicalSemiring R] :
    NonUnitalNonAssocSemiring (SeparationQuotient R) :=
  surjective_mk.nonUnitalNonAssocSemiring mk mk_zero mk_add mk_mul mk_smul

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