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Theorems · Theorem · commutative algebra

PowerSeries.weierstrassDiv_zero_left

∀ {A : Type u_1} [inst : CommRing A] [inst_1 : IsLocalRing A] (g : PowerSeries A)
  [inst_2 : IsAdicComplete (IsLocalRing.maximalIdeal A) A], 0 /ʷ g = 0
Defined in
Mathlib.RingTheory.PowerSeries.WeierstrassPreparation
Cited by
1 results in Mathlib
Foundations
Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsLocalRingIsAdicComplete
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PowerSeries.zero_weierstrassDiv · cited by 0PowerSeries.zero_weierstr…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingPowerSeries · cited by 797PowerSeriesIsLocalRing · cited by 339IsLocalRingIsLocalRing.maximalIdeal · cited by 297IsLocalRing.maximalIdealIsAdicComplete · cited by 124IsAdicCompletePowerSeries.map · cited by 82PowerSeries.mapIsLocalRing.residue · cited by 71IsLocalRing.residuePowerSeries.IsWeierstrassDivisor.of_map_ne_zero · cited by 11IsWeierstrassDivisor.of_m…PowerSeries.weierstrassDiv · cited by 10PowerSeries.weierstrassDivPowerSeries.IsWeierstrassDivisorAt.div_zero · cited by 1IsWeierstrassDivisorAt.di…PowerSeries.weierstrassDiv_ze…CITED BYCITES

Cites11

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Cited by1

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