Theorems · Theorem · sequences and series

tsum_const

∀ {β : Type u_2} {G : Type u_4} [inst : TopologicalSpace G] [inst_1 : AddCommGroup G] [IsTopologicalAddGroup G]
  [T2Space G] (a : G), ∑' (x : β), a = Nat.card β • a

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

2 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceAddCommGroupIsTopologicalAddGroupT2Space