The phrase "as to the assertion" is correct and usable in written English.
It can be used when discussing or referring to a specific claim or statement made in a conversation or text.
Example: "The committee had differing opinions as to the assertion that the project would be completed on time."
Alternatives: "regarding the assertion" or "concerning the assertion".
As to the assertions put forth in the Billion-Ton report, Pimentel contends that providing enough biomass to cover 30% of current U.S. gasoline and diesel use would require a land area greater than that of the United States.
As to the odd assertion that this error "cost" you $70 -- using similar math, by not buying a Mercedes today, I "earned" $45,000.
Now if A is a truth-value gap (therefore, in particular, not a truth), one may well want to deny A; but it would be unfair to take such a denial as equivalent to the assertion of ¬A.
That claim is about as likely as the assertion that Mr Obama wants school teachers talking dirty to kindergarteners.
Though Auriol's discussion stresses some experiences more than others, his basic point is that failing to identify such events as intuitive cognitions amounts to the assertion that "all things that appear, are" (Scriptum 3.14.697).
The frequent misidentification of V. campbellii as V. harveyi has led to the assertion that V. campbellii is currently underestimated as an important pathogenic species of aquatic organisms (Gomez-Gil et al., 2004; Cano-Gomez et al., 2009).
As to the police's assertions that the women attempted to gather "crowds to disrupt order in public places," Lewis said investigators will need to examine the women's storied histories of performance activism, as the activists were actually arrested prior to executing the purportedly "disruptive" actions surrounding domestic violence last month.
The debate has been kindled by reports from international inspectors detailing Iran's progress in its nuclear program, including the installation of more than 1,000 centrifuges to enrich uranium, as well as the assertions from American intelligence officials about an Iranian role in providing arms and other support to Shiite militias in Iraq and to Taliban militants in Afghanistan.
Accordingly, the challenge for an interpretive researcher was to explain the exception to the assertion – almost as if the assertion were a social truth.
Another howler passed my way the other day: "to evidence" as in "to evidence the assertion".
