"corroborating the theory" is correct and usable in written English.
You could use it when discussing evidence that supports or proves a hypothesis. For example, "The experiment provided data corroborating the theory that a warmer climate affects plant growth."
These results were compared with previous similar experiments in much denser magnetized vacuum arc plasmas, in which total suppression of secondary electrons (SE) was obtained, corroborating the theory that the maintenance of a virtual cathode for SE suppression is favored by higher plasma density.
Both tRNAs and rRNAs are truncated, corroborating the theory of the functional co-evolution of these molecules.
Antioxidant proteins are underexpressed while those inducing oxidative stress appear to be overexpressed in multiple studies, corroborating the theory that the imbalance of radicals within the body could potentially cause the endometriosis.
Intrapartum stillbirth rates correlated more closely with the measures of obstetric care in the regression analysis than did antepartum stillbirth rates, corroborating the theory that obstetric care availability and quality improvements will impact intrapartum stillbirth incidence more than antepartum stillbirth incidence.
But they had to find witnesses to corroborate the theory.
Investigators said Mr. Lindh's information corroborated the theory that Mr. bin al-Shibh was planning to be part of a fifth hijacking team on Sept. 11.
Their profile corroborates the theory that the provision of a handicap alternative for juveniles, since 2005, has altered the complexion of the Triumph.
A video posted by Scott Myrick (@scott_myrick) on Feb 2 , 2015at 9 23am PST Myrick corroborates the theory put forward by a palm tree dancer on Reddit yesterday that trained landshark twerkers were replaced at the last minute by Perry's own entourage - explaining their poor grasp of the dance moves.
Simulation studies corroborate the theory and the asymptotics.
Sufficient numerical examples are discussed to corroborate the theory presented herein.
We present new experimental data that corroborates the theory and a new method for experimental estimation of the asymptotic constants for any arbitrary channel shape.
