Mechanically, you do not need to vent that line at all since there is absolutely no way a toilet can ever release enough effluent rapidly enough to fill a 4" line and siphon its own trap. As long as the plumbing below the toilet (4") is larger than the opening in the bottom of the toilet (less than 3"), no additional venting is mechanically necessary. Nevertheless, I would go with your vertical option unless its installation would be extremely difficult.





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