By idempotent left-side simple Quantale being spatial Quantale, it is proved that an idempotent left-side Quantale is spatial iff it is a sub-Quantale of product of some idempotent left-side simple Quantale.

• 利用简单幂等左侧Quantale是空间式Quantale的结论；证明了幂等左侧Quantale是空间式Quantale当且仅当它是简单幂等左侧Quantale的乘积的子Quantale.