 In doing so, we establish  identification and inference results for SC as well. We further introduce a novel hypothesis test , with provable guarantees, to validate when to use SI (and thereby SC).
<meaning-changed>  In doing so, we establish  identification and inference results for SC as well. We further introduce a novel hypothesis test , with provable guarantees, to validate when to use SI (and thereby SC).
 In doing so, we establish identification and inference results for the synthetic controls (SC) literature. Further, we introduce a hypothesis test to validate when to use SI (and thereby SC).