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Unit_Not_Zero_Divisor

Proved

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

proofwikiringsunitszero-divisors

A unit of a ring is not a zero divisor.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Unit_Not_Zero_Divisor {R : Type _} [Ring R] [NoZeroDivisors R] (u : R) (hu : IsUnit u) (y : R) (h : u * y = 0) : y = 0 := by sorry
Source
https://proofwiki.org/wiki/Unit_Not_Zero_Divisor

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