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Theorems · Theorem · commutative algebra

multiplicity_addValuation_apply

∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] {p : R} {hp : Prime p} {r : R},
  (multiplicity_addValuation hp) r = emultiplicity p r
Defined in
Mathlib.RingTheory.Valuation.PrimeMultiplicity
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomain
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Around this declaration

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

IsDiscreteValuationRing.addVal_def · cited by 3IsDiscreteValuationRing.a…IsDiscreteValuationRing.addVal_le_iff_dvd · cited by 1IsDiscreteValuationRing.a…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingENat · cited by 4985ENatIsDomain · cited by 2196IsDomainPrime · cited by 277Primeemultiplicity · cited by 156emultiplicityAddValuation · cited by 96AddValuationmultiplicity_addValuation · cited by 2multiplicity_addValuationmultiplicity_addValuation_app…CITED BYCITES

Cites8

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Cited by2

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