Theorems · Theorem · sequences and series

Summable.alternating

∀ {α : Type u_3} [inst : Ring α] [inst_1 : UniformSpace α] [IsUniformAddGroup α] [CompleteSpace α] {f : ℕ → α},
  Summable f → Summable fun n => (-1) ^ n * f n

Defined in

Mathlib.Topology.Algebra.InfiniteSum.NatInt

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingUniformSpaceIsUniformAddGroupCompleteSpace