the lavishness does not occur if the footing does not occur.
sent1: the foot happens if the deserts occurs. sent2: if the stratifying addition does not occur and the passage does not occur the lavishness does not occur. sent3: the fact that the passage does not occur is not incorrect. sent4: the stratifying addition does not occur if the deserts does not occur.
void -> assump1: Let's assume that the deserting happens.; sent1 & assump1 -> int1: the footing occurs.; void -> assump2: Let's assume that the foot does not occur.; int1 & assump2 -> int2: this is contradiction.; [assump1] & int2 -> int3: the deserts does not occur.; int3 & sent4 -> int4: the stratifying addition does not occur.; int4 & sent3 -> int5: the stratifying addition does not occur and the passage does not occur.; int5 & sent2 -> int6: the lavishness does not occur.; [assump2] & int6 -> hypothesis;
$hypothesis$ = the lavishness does not occur if the footing does not occur. ; $context$ = sent1: the foot happens if the deserts occurs. sent2: if the stratifying addition does not occur and the passage does not occur the lavishness does not occur. sent3: the fact that the passage does not occur is not incorrect. sent4: the stratifying addition does not occur if the deserts does not occur. ; $proof$ = 
void -> assump1: Let's assume that the deserting happens.; sent1 & assump1 -> int1: the footing occurs.; void -> assump2: Let's assume that the foot does not occur.; int1 & assump2 -> int2: this is contradiction.; [assump1] & int2 -> int3: the deserts does not occur.; int3 & sent4 -> int4: the stratifying addition does not occur.; int4 & sent3 -> int5: the stratifying addition does not occur and the passage does not occur.; int5 & sent2 -> int6: the lavishness does not occur.; [assump2] & int6 -> hypothesis; __PROVED__