the undressing prebendary does not occur.
sent1: the rejection does not occur and the gambling does not occur. sent2: the gambling happens if the undressing prebendary occurs.
void -> assump1: Let's assume that the undressing prebendary happens.; sent2 & assump1 -> int1: the gambling happens.; sent1 -> int2: the gambling does not occur.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> hypothesis;
$hypothesis$ = the undressing prebendary does not occur. ; $context$ = sent1: the rejection does not occur and the gambling does not occur. sent2: the gambling happens if the undressing prebendary occurs. ; $proof$ = 
void -> assump1: Let's assume that the undressing prebendary happens.; sent2 & assump1 -> int1: the gambling happens.; sent1 -> int2: the gambling does not occur.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> hypothesis; __PROVED__