both the decimation and the officializing Proust occurs.
sent1: the officializing Proust occurs. sent2: the fact that the leaning does not occur is right. sent3: that the decimation but not the textileness occurs is triggered by that the leanness does not occur.
sent3 & sent2 -> int1: the decimation and the non-textileness happens.; int1 -> int2: the decimation occurs.; int2 & sent1 -> hypothesis;
$hypothesis$ = both the decimation and the officializing Proust occurs. ; $context$ = sent1: the officializing Proust occurs. sent2: the fact that the leaning does not occur is right. sent3: that the decimation but not the textileness occurs is triggered by that the leanness does not occur. ; $proof$ = 
sent3 & sent2 -> int1: the decimation and the non-textileness happens.; int1 -> int2: the decimation occurs.; int2 & sent1 -> hypothesis; __PROVED__