lend support, weight, credence, etc. to something
lend support to (something)
1. To add information or details to something, especially to make it seem more credible or probable. Do you have any evidence that lends support to your assertion? We cannot do anything that will lend support to our opponents' allegations about us.
2. To provide assistance or approval to something. The president is lending support to the governor's re-election campaign. Your department will have responsibility, but the sales team will lend support to the project if needed.