Martial law is the imposition of direct military control of normal civilian functions by a government, as a response to a temporary emergency such as invasion.
The post SHTF effects can last from 72 hours to a few months. It is impossible to establish how much a crisis can last since there are always unknown factors.
If we have learned first-aid anyway, doesn’t it make sense to use those skills to take care of the injured, while waiting for the professionals to get there?