To establish or strengthen something with new evidence or facts is to?

The term that best fits the definition of establishing or strengthening something with new evidence or facts is "corroborate." To corroborate means to provide support or confirmation for a claim or theory, often through additional evidence or facts that reinforce its validity. In various contexts, this could involve citing studies, providing data, or presenting testimonials that collectively lend credence to an argument or assertion.

In this context, the other choices do not align with the definition provided. "Enumerate" refers to listing items or counting them systematically, which does not imply support or evidence. "Disabuse" means to free someone from a misconception, indicating a clarification rather than the act of strengthening a claim. "Eloquent" describes someone who is fluent or persuasive in speaking or writing, which does not pertain to the act of supporting a statement with evidence. Thus, "corroborate" is the most appropriate term for the action of bolstering a statement with additional proof.