1. Something that is inferred (deduced, entailed or implied)
   "his resignation had political implications";
   - deduction, entailment
    
2. A meaning that is not expressly stated but can be inferred
   "the expectation was spread both by word and by implication";
   - significance, import
    
3. An accusation that brings into intimate and usually incriminating connection
   "The politician denied any implication of wrongdoing in the scandal"
    
4. A logical relation between propositions p and q of the form ‘if p then q’; if p is true then q cannot be false
   "In mathematics, the statement 'if x is even, then x is divisible by 2' is an example of a implication";
   - logical implication, conditional relation
    
5. A relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
   "he was suspected of implication in several robberies"

Derived forms: implications

Type of: accusal, accusation, illation [rare], inference, involvement, logical relation, meaning, substance

Encyclopedia: Implication