implication - noun

something that is inferred (deduced or entailed or implied)

a meaning that is not expressly stated but can be inferred

an accusation that brings into intimate and usually incriminating connection

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

implication - thesaurus

deduction   entailment   import   significance