Theorems · Theorem · functional analysis

Summable.const_smul

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : TopologicalSpace α] [inst_1 : AddCommMonoid α]
  [inst_2 : DistribSMul γ α] [ContinuousConstSMul γ α] {f : β → α} {L : SummationFilter β} (b : γ),
  Summable f L → Summable (fun i => b • f i) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Module

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommMonoidDistribSMulContinuousConstSMul