Both Uses

implicit
in
How to Read Literature Like a Professor
(Edited)

Eliot uses his essay on Joyce to defend implicitly his own masterpiece, The Waste Land, which also builds around ancient myths, in this case fertility myths associated with the Fisher King.
Chpt 10b *

implicitly = by the nature of the argument
Still, he implicitly believes that what Europe represents is degraded and decaying (and these are not the only examples).
Chpt 13 *

implicitly = without question or doubt

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."