implication

A logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false.

A meaning that is not expressly stated but can be inferred.

“the expectation was spread both by word and by implication”

Something that is inferred (deduced or entailed or implied).

“his resignation had political implications”

An accusation that brings into intimate and usually incriminating connection.

A relation implicated by virtue of involvement or close connection (especially an incriminating involvement).

“he was suspected of implication in several robberies”