English
There are compatible commutative semiring structures on certain subtypes arising inside elemental R x under the IsStarNormal hypothesis.
Русский
Существуют совместимые структуры коммутативного полупредиката на подтипах внутри элементального при гипотезе IsStarNormal.
LaTeX
$$$\\text{NonUnitalCommSemiring} (\\operatorname{elemental}_R(x)\\,\\text{подтип})$$$
Lean4
instance {R A : Type*} [CommRing R] [StarRing R] [NonUnitalRing A] [StarRing A] [Module R A] [IsScalarTower R A A]
[SMulCommClass R A A] [StarModule R A] [TopologicalSpace A] [IsTopologicalRing A] [ContinuousConstSMul R A]
[ContinuousStar A] [T2Space A] {x : A} [IsStarNormal x] : NonUnitalCommRing (elemental R x) where
mul_comm := mul_comm
