Theorems · Theorem · commutative algebra
PowerSeries.isRestricted.mul
∀ {R : Type u_1} [inst : NormedRing R] [IsUltrametricDist R] (c : ℝ) {f g : PowerSeries R},
PowerSeries.IsRestricted c f → PowerSeries.IsRestricted c g → PowerSeries.IsRestricted c (f * g)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedRingIsUltrametricDist
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedRingstatement and proof · cited by 924
- PowerSeriesstatement and proof · cited by 797
- IsUltrametricDiststatement and proof · cited by 177
- PowerSeries.IsRestrictedstatement and proof · cited by 10
- MvPowerSeries.isRestricted.mulproof · cited by 1
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