$\forall$$r$:CRng. \\[0ex]Assoc($\mid$$r$$\mid$;+$r$) \\[0ex]\& Ident($\mid$$r$$\mid$;+$r$;0) \\[0ex]\& Inverse($\mid$$r$$\mid$;+$r$;0;{-}$r$) \\[0ex]\& Assoc($\mid$$r$$\mid$;$\ast$) \\[0ex]\& Comm($\mid$$r$$\mid$;$\ast$) \\[0ex]\& Ident($\mid$$r$$\mid$;$\ast$;1) \\[0ex]\& BiLinear($\mid$$r$$\mid$;+$r$;$\ast$) \\[0ex]\& IsEqFun($\mid$$r$$\mid$;=$_{b}$)