Theorems · Theorem · commutative algebra
PowerSeries.weierstrassMod_zero
∀ {A : Type u_1} [inst : CommRing A] [inst_1 : IsLocalRing A] (f : PowerSeries A)
[inst_2 : IsPrecomplete (IsLocalRing.maximalIdeal A) A], f %ʷ 0 = 0Alias of PowerSeries.weierstrassMod_zero_right.
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- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement · cited by 797
- IsLocalRingstatement · cited by 339
- IsLocalRing.maximalIdealstatement · cited by 297
- IsPrecompletestatement · cited by 29
- PowerSeries.weierstrassModstatement · cited by 11
- PowerSeries.weierstrassMod_zero_rightproof · cited by 1
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