Webster's Revised Unabridged Dictionary · 1913

Implication

Implication , noun

[Latin implicatio: compare French implication.]

1.
The act of implicating, or the state of being implicated.
Three principal causes of firmness are. the grossness, the quiet contact, and the implication of component parts. — Boyle
2.
An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words.
Whatever things, therefore, it was asserted that the king might do, it was a necessary implication that there were other things which he could not do. — Hallam