What are the possible benefits of a computer program that can check proofs?

One of the highlights of mathematics in the 20th century was the realisation that proofs can be made completely precise and proofs can be checked exactly. This can be carried out to the level of putting a large amount of mathematics on computers and having the computer check the validity of proofs. You are required to write 1,600 words paper in which you discuss possible benefits of a computer program that can check proofs. Format your paper in MLA and cite at least 5 sources.