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Theorems · Theorem · commutative algebra

noZeroSMulDivisors_iff_right_eq_zero_of_smul

∀ {R : Type u_1} {M : Type u_2} [inst : Zero R] [inst_1 : Zero M] [inst_2 : SMul R M],
  NoZeroSMulDivisors R M ↔ ∀ (r : R), r ≠ 0 → ∀ (m : M), r • m = 0 → m = 0
Defined in
Mathlib.Algebra.NoZeroSMulDivisors.Defs
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Foundations
Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroZeroSMul

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NoZeroSMulDivisors · cited by 9NoZeroSMulDivisorsnoZeroSMulDivisors_iff_right_…CITED BYCITES

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