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Theorems · Theorem · commutative algebra

PowerSeries.weierstrassMod_zero_right

∀ {A : Type u_1} [inst : CommRing A] [inst_1 : IsLocalRing A] (f : PowerSeries A)
  [inst_2 : IsPrecomplete (IsLocalRing.maximalIdeal A) A], f %ʷ 0 = 0
Defined in
Mathlib.RingTheory.PowerSeries.WeierstrassPreparation
Cited by
1 results in Mathlib
Foundations
Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsLocalRingIsPrecomplete
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Around this declaration

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PowerSeries.weierstrassMod_zero · cited by 0PowerSeries.weierstrassMo…CommRing · cited by 17173CommRingPolynomial · cited by 5681Polynomialmap_zero · cited by 1614map_zeroPowerSeries · cited by 797PowerSeriesIsLocalRing · cited by 339IsLocalRingIsLocalRing.maximalIdeal · cited by 297IsLocalRing.maximalIdealPowerSeries.map · cited by 82PowerSeries.mapIsLocalRing.residue · cited by 71IsLocalRing.residueIsPrecomplete · cited by 29IsPrecompletePowerSeries.weierstrassMod · cited by 11PowerSeries.weierstrassModPowerSeries.weierstrassMod_ze…CITED BYCITES

Cites10

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Cited by1

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