Theorems · Theorem · sequences and series

HasProd.tprod_fiberwise

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : CommGroup α] [inst_1 : UniformSpace α] [IsUniformGroup α]
  [CompleteSpace α] [T2Space α] {f : β → α} {a : α},
  HasProd f a → ∀ (g : β → γ), HasProd (fun c => ∏' (b : ↑(g ⁻¹' {c})), f ↑b) a

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Constructions

Cited by

0 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupUniformSpaceIsUniformGroupCompleteSpaceT2Space