"Substantial evidence" refers to a significant amount of proof or information that supports a claim or argument. It means having enough strong and credible evidence to make a convincing case or reach a reliable conclusion. Full definition
The study data provided substantial evidence of improvement in dogs after total hip replacement. (globalvetspecialists.org)
These studies provide substantial evidence for the value of autonomy - support in children's motivated literacy behaviors. (ciera.org)
However, he did not find substantial evidence that any other games improve cognitive skills nor that any games improve reasoning or memory skills. (sciencedaily.com)