implication

noun

1. 1

   something that is inferred (deduced or entailed or implied)

   his resignation had political implications

2. 2

   a meaning that is not expressly stated but can be inferred

   the significance of his remark became clear only later

   the expectation was spread both by word and by implication

3. 3

   an accusation that brings into intimate and usually incriminating connection

4. 4

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

   he was suspected of implication in several robberies

5. 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