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.
All the meanings of implicit could be summarized as meaning that things go together without question. In this case, something that was not expressed directly (call it B), goes without saying based on the complete communication (call it A.) Based on "A", we automatically know "B" even though it wasn’t said directly.
"Did she explicitly promise?" "Well, I guess not explicitly, but nobody who was there could have missed the implicit promise."
Though she did not mention him by name, her comments were clearly an implicit criticism of his policies.
I think this was implicit in your suggestion, but I want to state it explicitly, so there is no doubt that we are on the same page.
The Federal Government explicitly insures up to $250,000 deposited in any FDIC-insured bank, but there is also an implicit guarantee that institutions that are "too big to fail", will be supported in a crisis.