Theorems · Theorem · commutative algebra
LaurentSeries.LaurentSeriesRingEquiv_def
∀ (K : Type u_2) [inst : Field K] (f : PowerSeries K),
(LaurentSeries.LaurentSeriesRingEquiv K) ((HahnSeries.ofPowerSeries ℤ K) f) =
{
toCompletion :=
(LaurentSeries.LaurentSeriesPkg K).compare LaurentSeries.ratfuncAdicComplPkg
((HahnSeries.ofPowerSeries ℤ K) f) }- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- RingEquivstatement · cited by 1,147
- Multiplicativestatement · cited by 875
- PowerSeriesstatement and proof · cited by 797
- WithZerostatement · cited by 586
- HahnSeriesstatement · cited by 528
- RatFuncstatement · cited by 301
- WithValstatement · cited by 151
- LaurentSeriesstatement · cited by 64
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