Theorems · Theorem · sequences and series

Summable.mul_left

∀ {ι : Type u_1} {α : Type u_3} {L : SummationFilter ι} [inst : NonUnitalNonAssocSemiring α]
  [inst_1 : TopologicalSpace α] [IsTopologicalSemiring α] {f : ι → α} (a : α),
  Summable f L → Summable (fun i => a * f i) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Ring

Cited by

47 results in Mathlib

Foundations

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

Assumes

NonUnitalNonAssocSemiringTopologicalSpaceIsTopologicalSemiring