If `b` lifts an `O`-basis of `R/(f)` with `f ≠ 0` in a domain, the division map is the inverse of an `O`-linear equivalence `R ≃ O^n × R`.

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If `b` lifts an `O`-basis of `R/(f)` with `f ≠ 0` in a domain, the division map is the inverse of an `O`-linear equivalence `R ≃ O^n × R`. · Prove2Me