For an unramified lift `Φ` with `O[X]/(Φ)` a domain, there is a unique ring map of fraction fields extending `O → O[X]/(Φ)`;

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For an unramified lift `Φ` with `O[X]/(Φ)` a domain, there is a unique ring map of fraction fields extending `O → O[X]/(Φ)`; · Prove2Me