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Theorems · Theorem · commutative algebra

factorization_eq_count

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] [inst_2 : NormalizationMonoid α]
  [inst_3 : DecidableEq α] {n p : α},
  (factorization n) p = Multiset.count p (UniqueFactorizationMonoid.normalizedFactors n)
Defined in
Mathlib.RingTheory.UniqueFactorizationDomain.Finsupp
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroUniqueFactorizationMonoidNormalizationMonoidDecidableEq
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Around this declaration

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IsDedekindDomain.HeightOneSpectrum.factorization_eq_multiplicity · cited by 0HeightOneSpectrum.factori…DFunLike.coe · cited by 62936DFunLike.coeFinsupp · cited by 5255FinsuppCommMonoidWithZero · cited by 913CommMonoidWithZeroMultiset.count · cited by 302Multiset.countUniqueFactorizationMonoid · cited by 279UniqueFactorizationMonoidNormalizationMonoid · cited by 165NormalizationMonoidUniqueFactorizationMonoid.normalizedFactors · cited by 151UniqueFactorizationMonoid…factorization · cited by 9factorizationfactorization_eq_countCITED BYCITES

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