Theorems · Theorem · functional analysis

FormalMultilinearSeries.order_eq_find

∀ {𝕜 : Type u} {E : Type v} {F : Type w} [inst : Semiring 𝕜] [inst_1 : AddCommMonoid E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] [inst_4 : ContinuousAdd E] [inst_5 : ContinuousConstSMul 𝕜 E] [inst_6 : AddCommMonoid F]
  [inst_7 : Module 𝕜 F] [inst_8 : TopologicalSpace F] [inst_9 : ContinuousAdd F] [inst_10 : ContinuousConstSMul 𝕜 F]
  {p : FormalMultilinearSeries 𝕜 E F} [inst_11 : DecidablePred fun n => p n ≠ 0] (hp : ∃ n, p n ≠ 0),
  p.order = Nat.find hp

Defined in

Mathlib.Analysis.Calculus.FormalMultilinearSeries

Cited by

1 results in Mathlib

Foundations

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

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceContinuousAddContinuousConstSMulAddCommMonoidModuleTopologicalSpaceContinuousAddContinuousConstSMulDecidablePred