Theorems · Theorem · commutative algebra

LaurentSeries.powerSeries_ext_subring

∀ (K : Type u_2) [inst : Field K],
  Subring.map (LaurentSeries.LaurentSeriesRingEquiv K).toRingHom (LaurentSeries.powerSeries_as_subring K) =
    (IsDedekindDomain.HeightOneSpectrum.adicCompletionIntegers (RatFunc K) (Polynomial.idealX K)).toSubring

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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Cites25

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
Top.topproof · cited by 9,680
Fieldstatement and proof · cited by 7,404
Polynomialstatement · cited by 5,681
PowerSeriesproof · cited by 797
Subringstatement · cited by 602
RatFuncstatement and proof · cited by 301
Subsemigroup.carrierproof · cited by 160
Submonoid.toSubsemigroupproof · cited by 159
Subsemiring.toSubmonoidproof · cited by 153
RingEquiv.toRingHomstatement and proof · cited by 150
IsDedekindDomain.HeightOneSpectrum.adicCompletionstatement · cited by 93

Cited by1

Results whose statement or proof uses this declaration.

LaurentSeries.powerSeriesRingEquivproof · cited by 1