Theorems · Theorem · commutative algebra
LaurentSeries.coeff_zero_of_lt_intValuation
∀ (K : Type u_2) [inst : Field K] {n d : ℕ} {f : PowerSeries K},
Valued.v ((HahnSeries.ofPowerSeries ℤ K) f) ≤ WithZero.exp (-↑d) → n < d → (PowerSeries.coeff n) f = 0The coefficients of a power series vanish in degree strictly less than its valuation.
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- Mathlib.RingTheory.LaurentSeries
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- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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