Theorems · Theorem · sequences and series

HasProd.nat_mul_neg

∀ {M : Type u_1} [inst : CommMonoid M] [inst_1 : TopologicalSpace M] {m : M} [ContinuousMul M] {f : ℤ → M},
  HasProd f m → HasProd (fun n => f ↑n * f (-↑n)) (m * f 0)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.NatInt

Cited by

2 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidTopologicalSpaceContinuousMul