### Polyphenol Reductio
| **Variable** | **Definition** |
|:----------------------------------------:|:-------------------------------------------------------------- |
| **H** | plant defense chemicals (x) are harmful |
| **C** | plant defense chemicals (x) are contained in food (y) |
| **V** | plant defense chemicals (x) render food (y) harmful. |
| **M** | genetic modification that removes (p) renders (g) less harmful |
| **p** | polyphenols from grass |
| **g** | grass-fed beef |
P1) If plant defense chemicals are harmful and plant defense chemicals are contained in a food, then plant defense chemicals render the food harmful.
(∀x∀y(Hx∧Cxy→Vxy))
P2) Polyphenols from grass are harmful.
(Hp)
P3) Polyphenols from grass are contained in grass-fed beef.
(Cpg)
P4) If polyphenols from grass render grass-fed beef harmful, then genetic modification that removes polyphenols from grass renders grass-fed beef less harmful.
(Vpg→Mpg)
P5) Polyphenols from grass render grass-fed beef harmful.
(Vpg)
C) Therefore, genetic modification that removes polyphenols from grass renders grass-fed beef less harmful.
(∴Mpg)
[Proof Tree](https://www.umsu.de/trees/#(~6x~6y(Hx~1Cxy~5Vxy)),(Hp),(Cpg),(Vpg~5Mpg),(Vpg)|=(Mpg))
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