"rigorously demonstrated for" is correct and usable in written English.
It is typically used when discussing something that has been proven or shown with strong evidence or thorough testing. Example: The effectiveness of this new drug has been rigorously demonstrated for multiple medical conditions.
Although expected, these results rigorously demonstrate for the first time a linear relationship between AhR agonist exposure and TCDD equivalents measured in neat sera.
Later, with R.J. DiPerna, Lions rigorously demonstrated the existence of solutions to Boltzmann's equation for the density of colliding hard spheres, given general initial data.
However, its equivalency or superiority to TEC has never been rigorously demonstrated, thus TC therapy is not currently an established regimen for endometrial carcinoma.
Many potential strategies for CSC-directed thavepy have been proposed, but few studies have rigorously demonstrated their efficacy using in vivo models.
9 10 While the value of such measures has been rigorously demonstrated, they have limitations.
It is debatable if dependence on the 3'BE and on translational repression has been rigorously demonstrated.
Further, studies for heterologous expression, purification, and biochemical characterization of other genes are currently underway to rigorously demonstrate involvement of both the pathways.
For example, it took us several years and multiple knockout lines to rigorously demonstrate that PAP, NT5E and TNAP act redundantly to generate adenosine from AMP.
In addition, although it was beyond the scope of this study, neither measure should be used as a screening test (smoke alarm) to identify poor quality trusts until its validity for that purpose has been rigorously evaluated and demonstrated.
The completeness of the potential formulation is demonstrated rigorously.
