For an unramified lift `Φ` and a monic polynomial in the residue cell of `(Φ mod π)^r`, its `O`-type is `scaleType (deg Φ) τ` exactly when the translated block polynomial over `O[X]/(Φ)` has type `τ`.

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For an unramified lift `Φ` and a monic polynomial in the residue cell of `(Φ mod π)^r`, its `O`-type is `scaleType (deg Φ) τ` exactly when the translated block polynomial over `O[X]/(Φ)` has type `τ`. · Prove2Me