Regularity of $f\,dt$ at the place over $t=\infty$: exactly when $\varphi(f)/{w'}^3$ lies in the local ring at $(0,0)$

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Regularity of $f\,dt$ at the place over $t=\infty$: exactly when $\varphi(f)/{w'}^3$ lies in the local ring at $(0,0)$ · Prove2Me