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Theorems · Theorem · commutative algebra

IsDedekindDomain.HeightOneSpectrum.intValuationDef.congr_simp

∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDedekindDomain R] (v v_1 : IsDedekindDomain.HeightOneSpectrum R),
  v = v_1 → ∀ (r r_1 : R), r = r_1 → v.intValuationDef r = v_1.intValuationDef r_1
Defined in
Mathlib.RingTheory.DedekindDomain.AdicValuation
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Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDedekindDomain
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CommRing · cited by 17173CommRingMultiplicative · cited by 875MultiplicativeIsDedekindDomain · cited by 668IsDedekindDomainWithZero · cited by 586WithZeroIsDedekindDomain.HeightOneSpectrum · cited by 338IsDedekindDomain.HeightOn…IsDedekindDomain.HeightOneSpectrum.intValuationDef · cited by 9HeightOneSpectrum.intValu…intValuationDef.congr_simpCITED BYCITES

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