"thereby rejecting" is correct and usable in written English.
You can use it to indicate that something has been rejected or denied in response to something else. For example, "The board of directors voted to deny the loan application, thereby rejecting the company's proposal".
In a speech today to the Israeli Parliament, he supported the widepsread Israeli view that Jerusalem was "the united and eternal capital of Israel," thereby rejecting Palestinian claims.
The president should continue to push for a U.N. resolution with uncompromising and immediate requirements for the Iraqi regime, thereby rejecting the tried course of empty diplomacy, fruitless inspections and failed containment.
And in Urie, supra, we held that occupational diseases such as silicosis constitute compensable physical injuries under FELA, thereby rejecting the argument that the statute covered only injuries and deaths caused by accidents.
When the Allbritton deal fell through, the Tribune Company reversed itself on closing the paper and announced its intention to invest a substantial amount in the News (if negotiations on cost reductions were successful), thereby rejecting attempts by Rupert Murdoch to buy the paper.
In June, Microsoft apparently made a $33 per share offer for all of Yahoo! which was met with Yahoo countering at $37, thereby rejecting the $33 offer.
Or she might be a nihilist for t2 counted by u1, by being an eliminative nominalist about properties and thereby rejecting the target.
The Court thereby rejected the English rule set out in Vaux's Case, 4 Co.Rep.
Crucially, though, he did not thereby reject reason; rather, he became a critical rationalist.
But with the suppression of festivities that accompanied modern European "progress", they had done something perhaps far more damaging: they had completed the demonisation of Dionysus begun by Christians centuries ago, and thereby rejected one of the most ancient sources of help - the mind-preserving, life-saving techniques of ecstasy.
Gaddis thereby rejects that charge that the Bush administration has abandoned the traditions of American statecraft.
We thereby reject instrumental and analytical issues for the generation of the harmonic waves.
