As nouns the difference between proof and method
is that
proof is (countable) an effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial while
method is a process by which a task is completed; a way of doing something (followed by the adposition of, to or for before the purpose of the process):.
As an adjective proof
is used in proving or testing.
As a verb proof
is to proofread.