Using ellipsis (omission) with verbs?

I want to know if a sentence like this is possible: "After leaving school, John became a barrister, Alex a judge and Mark a writer." In the last two instances, "became" is omitted to avoid unsightly repetition. But it is grammatically correct to omit verbs in cases like these? Most of the examples I can find online deal with parallel constructions rather than list-like examples like these.

Any help much appreciated, thanks!