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Theorems · Theorem · commutative algebra

dvd_normalize_iff

∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] {a b : α}, a ∣ normalize b ↔ a ∣ b
Defined in
Mathlib.Algebra.GCDMonoid.Basic
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
MonoidWithZeroNormalizationMonoid
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Around this declaration

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

divRadical_dvd_derivative · cited by 1divRadical_dvd_derivativeMonoidWithZero · cited by 456MonoidWithZeroNormalizationMonoid · cited by 165NormalizationMonoidnormalize · cited by 137normalizeUnits.dvd_mul_right · cited by 5Units.dvd_mul_rightdvd_normalize_iffCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.