Check vs. proof read?

[artic]

Test No. incompl/inter-16 "Letter Writing", question 6

When you read something you've written on the computer screen, it often looks all right although you should always ......... read it first.

(a) check
(b) prove
(c) proof
(d) proven

Test No. incompl/inter-16 "Letter Writing", answer 6

When you read something you've written on the computer screen, it often looks all right although you should always proof read it first.

Correct answer: (c) proof

Your answer was: incorrect
When you read something you've written on the computer screen, it often looks all right although you should always check read it first.
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Why word check doesn't fit in here?

[Alan]

Proof read is the correct technical expression meaning check for spelling mistakes etc.
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English as a Second Language
You can read my ESL story A day in the life of a flat hunter