implication implication /ˌɪmpləˈkeɪʃən/

noun

1. () Something that is inferred (deduced, entailed or implied)  ( entailment , deduction , implication )
   something that is inferred (deduced, entailed or implied)
    His resignation had political implications
   his resignation had political implications
   
   
2. () A meaning that is not expressly stated but can be inferred  ( import , implication , significance )
   a meaning that is not expressly stated but can be inferred
    The significance of his remark became clear only later
   the significance of his remark became clear only later
    The expectation was spread both by word and by implication
   the expectation was spread both by word and by implication
   
3. () An accusation that brings into intimate and usually incriminating connection  ( implication )
   an accusation that brings into intimate and usually incriminating connection
   
4. A relation implicated by virtue of involvement or close connection (especially an incriminating involvement)  ( implication )
   a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
    He was suspected of implication in several robberies
   he was suspected of implication in several robberies
   
5. A logical relation between propositions p and q of the form 'if p then q'; if p is true then q cannot be false  ( conditional relation , implication , logical 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