the fact that the boodle does not occur is right.
sent1: the hyping koto happens. sent2: the boodle does not occur if the fact that not the hyping koto but the inserting matted happens does not hold.
void -> assump1: Let's assume that not the hyping koto but the inserting matted happens.; assump1 -> int1: the hyping koto does not occur.; sent1 & int1 -> int2: this is contradiction.; [assump1] & int2 -> int3: the fact that not the hyping koto but the inserting matted happens is not true.; sent2 & int3 -> hypothesis;
$hypothesis$ = the fact that the boodle does not occur is right. ; $context$ = sent1: the hyping koto happens. sent2: the boodle does not occur if the fact that not the hyping koto but the inserting matted happens does not hold. ; $proof$ = 
void -> assump1: Let's assume that not the hyping koto but the inserting matted happens.; assump1 -> int1: the hyping koto does not occur.; sent1 & int1 -> int2: this is contradiction.; [assump1] & int2 -> int3: the fact that not the hyping koto but the inserting matted happens is not true.; sent2 & int3 -> hypothesis; __PROVED__