Commentary for Sukkah 13:18

ההוא לא אצטריכא ליה השתא מקילתא לחמירתא אמרינן מחמירתא לקילתא לא כל שכן

There was no need to mention this, [since it is obvious that] if we apply [the rule of ‘since’] from the less stringent to the more stringent, all the more so apply it from the more stringent to the less stringent

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