Theorems · Theorem · sequences and series

Finite.of_summable_const

∀ {ι : Type u_1} {α : Type u_3} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [IsOrderedAddMonoid α]
  [inst_3 : TopologicalSpace α] [Archimedean α] [OrderClosedTopology α] {b : α},
  0 < b → (Summable fun x => b) → Finite ι

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Order

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidTopologicalSpaceArchimedeanOrderClosedTopology