Both Uses

implicit
in
Abraham Lincoln and the Self-Made Myth
(Edited)

To order Anderson to withdraw Fort Sumter's garrison at the demand of the Confederates was a tremendous concession, which Lincoln actually considered but rejected; it would be an implicit acknowledgment of the legality of secession, and the Union would, by his own recognition, be at an end;
Subsection 5

implicit = understood (without having been directly said)
Although it was no part of his constitutional function, Lincoln did what he could to speed this amendment toward ratification by announcing that he considered it only an explicit statement of what was already implicit in the Constitution—
Subsection 6 *

Definitions:

(1) (implicit as in: not explicitly but implicitly)
not stated directly, but understood (or capable of being understood) from something else

Shared information is often divided into two categories: That which is said explicitly (directly in words that leave no room for confusion or doubt) and that which is said implicitly.
(2) (implicit as in: implicit problem with the design)
exists as an inseparable part or characteristic
(3) (implicit as in: I trust her implicitly.)
without question or doubt
(4) (meaning too rare to warrant focus)
Another sense of the form implicitly is "without doubt or reserve" as in, "I trust Sue implicitly".

It is a more strongly stated sense of the more general meanings; e.g., "Sue implies trustworthiness," or "trustworthiness is inherent in Sue."