Theorems · Theorem · sequences and series

Topology.IsClosedEmbedding.map_tprod

∀ {ι : Type u_4} {α : Type u_5} {α' : Type u_6} {G : Type u_7} [inst : CommMonoid α] [inst_1 : CommMonoid α']
  [inst_2 : TopologicalSpace α] [inst_3 : TopologicalSpace α'] [T2Space α'] (f : ι → α) {L : SummationFilter ι} {g : G}
  [inst_5 : FunLike G α α'] [MonoidHomClass G α α'],
  Topology.IsClosedEmbedding ⇑g → g (∏'[L] (i : ι), f i) = ∏'[L] (i : ι), g (f i)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

CommMonoidCommMonoidTopologicalSpaceTopologicalSpaceT2SpaceFunLikeMonoidHomClass