Theorems · Theorem · sequences and series

hasSum_strict_mono

∀ {ι : Type u_1} {α : Type u_3} [inst : AddCommGroup α] [inst_1 : PartialOrder α] [IsOrderedAddMonoid α]
  [inst_3 : TopologicalSpace α] [IsTopologicalAddGroup α] [OrderClosedTopology α] {f g : ι → α} {a₁ a₂ : α},
  HasSum f a₁ → HasSum g a₂ → f < g → a₁ < a₂

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Order

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupPartialOrderIsOrderedAddMonoidTopologicalSpaceIsTopologicalAddGroupOrderClosedTopology