The phrase "general prohibition" is correct and usable in written English.
You can use it to refer to a broad or overall ban or restriction on something. For example, "The authorities put in place a general prohibition on non-essential travel during the pandemic."
Congress amended various provisions, such as the preclearance requirement and Section 2's general prohibition of discriminatory voting laws, to prohibit discrimination against language minorities.
In 1982, Congress amended the Act to overturn the Supreme Court case Mobile v. Bolden (1980), which held that the general prohibition of voting discrimination prescribed in Section 2 prohibited only purposeful discrimination.
In 1758 the general prohibition against works advocating heliocentrism was removed from the Index of prohibited books, although the specific ban on uncensored versions of the Dialogue and Copernicus's De Revolutionibus remained.
Back in 1960, 30 states had laws in place that prohibited advertisements regarding birth control and 22 states had some general prohibition on the sale of contraceptives.
Is the general prohibition justified?
In general, Prohibition was enforced wherever the population was sympathetic to it.
This Court in criminal cases has twice departed from the general prohibition against piecemeal appellate review.
But Justice Breyer said that only a general prohibition on entering the buffer zone would work.
This means implementing a general prohibition on a particular funding model.
(a) and (b) relating to general prohibition on federally sponsored testing and exceptions, respectively.
In June of this year Commissioner Bill Bratton told a hearing there is "a general prohibition" over its use.
