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Theorems · Theorem · commutative algebra

normalize_eq_zero

∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] {x : α}, normalize x = 0 ↔ x = 0
Defined in
Mathlib.Algebra.GCDMonoid.Basic
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext
Assumes
MonoidWithZeroNormalizationMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.isUnit_primPart_C · cited by 1Polynomial.isUnit_primPar…MonoidWithZero · cited by 456MonoidWithZeroNormalizationMonoid · cited by 165NormalizationMonoidnormalize · cited by 137normalizenormalize_zero · cited by 16normalize_zeroassociated_normalize · cited by 11associated_normalizeassociated_zero_iff_eq_zero · cited by 4associated_zero_iff_eq_ze…normalize_eq_zeroCITED BYCITES

Cites6

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Cited by1

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