implication

(noun) something that is inferred (deduced or entailed or implied). Synonyms: deduction, entailment. Example: "His resignation had political implications."

(noun) a meaning that is not expressly stated but can be inferred. Synonyms: significance, import. Examples: "The significance of his remark became clear only later." "The expectation was spread both by word and by implication."

(noun) an accusation that brings into intimate and usually incriminating connection.

(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. Synonyms: logical implication, conditional relation.

(noun) a relation implicated by virtue of involvement or close connection (especially an incriminating involvement). Example: "He was suspected of implication in several robberies."