Theorems · Theorem · commutative algebra
PowerSeries.degree_weierstrassMod_lt
∀ {A : Type u_1} [inst : CommRing A] [inst_1 : IsLocalRing A] (f g : PowerSeries A)
[inst_2 : IsPrecomplete (IsLocalRing.maximalIdeal A) A],
(f %ʷ g).degree < ↑((PowerSeries.map (IsLocalRing.residue A)) g).order.toNat- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialproof · cited by 5,681
- WithBotstatement and proof · cited by 1,498
- PowerSeriesstatement and proof · cited by 797
- Polynomial.degreestatement and proof · cited by 643
- Ideal.Quotient.mkproof · cited by 610
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.maximalIdealstatement and proof · cited by 297
- IsLocalRing.ResidueFieldstatement · cited by 156
- ENat.toNatstatement and proof · cited by 143
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