I will arrive before him . I will arrive before he does . Not a teacher.
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I will arrive before him.
I will arrive before he does.
Not a teacher.
[1] I will arrive before [ ___ him/*he ].
[2] I will arrive before [he/him ___].
Both are possible with no difference in meaning. It's not just a matter of grammar, but also of formality.
Where the pronoun is understood as complement or object of a preposition as in [1] the pronoun is accusative, just as it is in unred