implication
noun
im·pli·ca·tion
ˌim-plə-ˈkā-shən
1
2
a
: close connection
especially
: an incriminating involvement
b
: the act of implicating : the state of being implicated
3
a
: the act of implying : the state of being implied
b(1)
: a logical relation between two propositions that fails to hold only if the first is true and the second is false see Truth Table
(2)
: a logical relationship between two propositions in which if the first is true the second is true
(3)
: a statement exhibiting a relation of implication
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Merriam-Webster unabridged
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