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Unit_of_Integral_Domain_divides_all_Elements

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

divisibilityintegral-domainsproofwikiunits

In an integral domain, every unit divides every element.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Unit_of_Integral_Domain_divides_all_Elements {D : Type _} [CommRing D] [IsDomain D] (u : D) (hu : IsUnit u) (x : D) : u ∣ x := by sorry
Source
https://proofwiki.org/wiki/Unit_of_Integral_Domain_divides_all_Elements

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