Neither he nor I will be free tomorrow. The answer is "yes", why not "yes"?

A predicate that is neither after nor after is consistent with a predicate that is neither after.

The predicate that is neither after nor after is consistent with the predicate that is not after;

Proximity principle

In other words, the singular and plural forms of the predicate verb depend on the words closest to it. If the coordinate subjects use the conjunction or, there … or, inside … not, not only … but also, if one is singular and the other is plural, the predicate verb is consistent with the subject close to it. For example:

Either your student or Mr. Wang knows about it.

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