Theorems · Theorem · commutative algebra

LaurentSeries.algebraMap_C_mem_adicCompletionIntegers

∀ (K : Type u_2) [inst : Field K] (x : K),
  ((LaurentSeries.LaurentSeriesRingEquiv K).toRingHom.comp HahnSeries.C) x ∈
    IsDedekindDomain.HeightOneSpectrum.adicCompletionIntegers (RatFunc K) (Polynomial.idealX K)

Defined in: Mathlib.RingTheory.LaurentSeries
Cited by: 0 results in Mathlib
Foundations: Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field

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DFunLike.coestatement and proof · cited by 62,936
RingHomstatement · cited by 10,189
Fieldstatement and proof · cited by 7,404
Polynomialstatement · cited by 5,681
RingHom.compstatement · cited by 899
RingHomClass.toRingHomproof · cited by 746
RatFuncstatement and proof · cited by 301
ValuationSubringstatement · cited by 187
RingEquiv.toRingHomstatement · cited by 150
IsDedekindDomain.HeightOneSpectrum.adicCompletionstatement · cited by 93
HahnSeries.singleproof · cited by 82
PowerSeries.Cproof · cited by 76

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