implication

noun

1. something that is inferred (deduced or entailed or implied)"his resignation had political implications"
2. a meaning that is not expressly stated but can be inferred"the significance of his remark became clear only later"
3. an accusation that brings into intimate and usually incriminating connection
4. a logical relation between propositions p and q of the form ‘if p then q’; if p is true then q cannot be false
5. a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)"he was suspected of implication in several robberies"