Theorems · Theorem · commutative algebra

MvPowerSeries.coeff_zero_iff

∀ {σ : Type u_1} {τ : Type u_4} {S : Type u_5} [inst : CommRing S] {a : σ → MvPowerSeries τ S}
  [inst_1 : TopologicalSpace S] [DiscreteTopology S],
  Filter.Tendsto a Filter.cofinite (nhds 0) ↔ ∀ (d : τ →₀ ℕ), {s | (MvPowerSeries.coeff d) (a s) ≠ 0}.Finite

Defined in

Mathlib.RingTheory.MvPowerSeries.Substitution

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingTopologicalSpaceDiscreteTopology