the microelectronicness does not occur.
sent1: the fact that the toehold happens hold. sent2: that the toehold happens or the fraying does not occur or both is not right if the microelectronicness occurs. sent3: that the fraying does not occur is prevented by that the microelectronicness happens.
void -> assump1: Let's assume that that the microelectronicness happens is right.; sent2 & assump1 -> int1: the fact that the toehold happens and/or the fraying does not occur is not true.; sent1 -> int2: the toehold occurs or the fraying does not occur or both.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> hypothesis;
$hypothesis$ = the microelectronicness does not occur. ; $context$ = sent1: the fact that the toehold happens hold. sent2: that the toehold happens or the fraying does not occur or both is not right if the microelectronicness occurs. sent3: that the fraying does not occur is prevented by that the microelectronicness happens. ; $proof$ = 
void -> assump1: Let's assume that that the microelectronicness happens is right.; sent2 & assump1 -> int1: the fact that the toehold happens and/or the fraying does not occur is not true.; sent1 -> int2: the toehold occurs or the fraying does not occur or both.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> hypothesis; __PROVED__