Evidence
Facts or physical signs that help to prove something.
Evidence of:
Doctors found no evidence of infection.
Evidence that:
There is some evidence that the economy is improving.
Evidence for/in support of/in favour of:
Evidence for the existence of life on other planets.
Proof
Information or evidence that shows that something is definitely true or definitely exists.
Proof of:
We were unable to establish proof of her innocence.
Proof that:
Do you have any proof that this is true?
Source: Macmillan Dictionary.
Proof.
Evidence.