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We critique Javier Arroyo-Figueroa's paper titled ``The existence of the Tauone-way functions class as a proof that $\mathrm{P} \neq \mathrm{NP}$,'' whichclaims to prove $\mathrm{P} \neq \mathrm{NP}$ by showing the existence of aclass of one-way functions. We summarize our best interpretation ofArroyo-Figueroa's argument, and show why it fails to prove the existence ofone-way functions. Hence, we show that Arroyo-Figueroa fails to prove$\mathrm{P} \neq \mathrm{NP}$.

On Arroyo-Figueroa's Proof that $\mathrm{P} \neq \mathrm{NP}$