John Chrysostom
Why does he say this? To show that, just as such gifts did not benefit them, the Israelites, so baptism and participation in the spiritual mysteries will not benefit them, the Corinthians, if their life does not correspond to grace. For this reason he points to the types of baptism and of the mysteries. What does "they were baptized into Moses" mean? We who believe in Christ and His resurrection are baptized so that we ourselves may have participation in these mysteries. We are baptized, he says, "for the dead" (1 Cor 15:29), that is, for our bodies. In the same way, they trusted in Moses. Seeing that he first entered the sea, they themselves resolved to enter there also.
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Since the Apostle wishes to bring the type close to the truth, he does not express it in this way, but calls the type itself by the name of the truth. Here he points to the type of baptism, and afterward to the type of the holy table. As you eat the Master's Body, so they ate manna. As you drink Blood, so they drank water from the rock. Although this was perceptible to the senses, it was nevertheless given spiritually, not according to the laws of nature, but according to grace. Together with the body it nourished the soul, disposing it toward faith.