The phrase "assertion means" is correct and usable in written English.
It can be used when defining or explaining the significance of a particular assertion or statement.
Example: "In this context, the assertion means that the data is reliable and can be trusted for analysis."
Alternatives: "claim signifies" or "statement implies".
Instead, Alfredo has been a font of assertions meant to undermine Juan Miguel: that Elian's father wanted to move to America himself; that he sometimes beat up Elisa; that he, too, felt betrayed by what has happened to Cuba over the last decade.
The important assertion (2) means that equation (3.15), usually referred to as a determining equation, allows one to track all the solutions of the periodic boundary value problem (1.3), (1.4).
By that assertion we mean that we take Boparan's interest in Northern Foods to be very serious even if an offer is not forthcoming.
In making this assertion Zermelo meant to emphasize the fact that in this form the principle makes no appeal to the possibility of making "choices".
The assertions (1.5 - 1.12) in [7], Theorem 1.1, concern the spaces ((A_{0}+A_{1}, A_{0}cap A_{1})_{theta, p}), and the goal of this paper is to extend these assertions by means of replacing the classical scale ((A_{0}, A_{1})_{theta, p}) by the general scale ((A_{0}, A_{1})_{Phi}).
Mr. Kucherena said Mr. Snowden, who has been following the news about his case intently on his computer in a hotel at the airport, complained to him that such assertions were meant to discredit him and his case, especially at home in the United States.
Asked if he was an extremist, he added: "These are just ridiculous assertions really meant to serve the frenzy that has been generated really in the media which actually is a kind of a witch-hunt in this very, very deprived area.
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