The phrase "in support of this assertion" is correct and usable in written English.
You can use it when you want to clarify that something you just asserted is backed up by evidence or argumentation. For example: "I strongly believe that the policy needs to change; in support of this assertion, I have collected data that shows this to be true."
A quick glance around his office provides evidence in support of this assertion: a pair of running shoes designed to help one run with less energy, for example.
In support of this assertion, the author analyzed some relevant data sets and observed that the GPD model provided adequate fits.
In support of this assertion, the Anonymous (2000a) study drew on the Bagley (1990) work to include an investigation of the interactive effects of instructional format involving textual/graphical metaphors and cognitive style (Anonymous 2000a) for the acquisition of introductory programming/problem-solving techniques.
There is no statistical evidence in support of this assertion, although it does fall within reasonable expectations.
In support of this assertion, there is no significant advantage of additional core-strengthening in reducing LBP occurrence in athletes [ 48].
In support of this assertion, a limited analysis was repeated using only the first challenge on each patient, with results similar to those for the complete data set.
In support of this last assertion, we found that adding additional cholesterol reduced by the half the alleviation of IFITM3 restriction by AmphoB.
Here are a few points in support of that assertion.
But in support of that assertion, Greenfield refers not to the constitutional analysis that was actually employed by the Supreme Court majority in Citizens United, but, instead to Justice Stevens' dissent.
Further evidence in support of the assertion that many opposition leaders are driven by a hunger for power is their inability to present to the people concrete and comprehensive proposals to address the structural problems of poverty, unemployment, inflation, corruption, oppression and human rights violation in their countries.
In support of the assertion that the LSS data show direct evidence of low dose risks, Hall (2002) presents a graph reportedly showing ERR for cancer mortality in A-bomb survivors from 1950-1990 over the range of 0 to approximately 150 mSv (his Figure 6).
