Theorems · Theorem · commutative algebra
PowerSeries.smul_weierstrassMod
∀ {A : Type u_1} [inst : CommRing A] [inst_1 : IsLocalRing A] (a : A) (f g : PowerSeries A)
[inst_2 : IsAdicComplete (IsLocalRing.maximalIdeal A) A], a • f %ʷ g = a • (f %ʷ g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement and proof · cited by 797
- smul_zeroproof · cited by 665
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.maximalIdealstatement and proof · cited by 297
- IsAdicCompletestatement and proof · cited by 124
- PowerSeries.mapproof · cited by 82
- IsLocalRing.residueproof · cited by 71
- PowerSeries.IsWeierstrassDivisorAt.modproof · cited by 16
- PowerSeries.weierstrassModstatement · cited by 11
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