Definition of "Implication" :
noun: something that is inferred (deduced or entailed or implied)
"His resignation had political implications."
noun: a meaning that is not expressly stated but can be inferred
"The expectation was spread both by word and by implication."
noun: an accusation that brings into intimate and usually incriminating connection
noun: a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
"He was suspected of implication in several robberies."
noun: a logical relation between propositions p and q of the form if p then q'; if p is true then q cannot be false