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Theorems · Theorem · sequences and series

multipliable_one

∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β},
  Multipliable (fun x => 1) L
Defined in
Mathlib.Topology.Algebra.InfiniteSum.Basic
Cited by
3 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

tprod_one · cited by 12tprod_onemultipliable_const_iff · cited by 0multipliable_const_iffMultipliable.one_lt_tprod · cited by 0Multipliable.one_lt_tprodTopologicalSpace · cited by 24529TopologicalSpaceCommMonoid · cited by 2264CommMonoidSummationFilter · cited by 607SummationFilterMultipliable · cited by 213MultipliableHasProd.multipliable · cited by 40HasProd.multipliablehasProd_one · cited by 7hasProd_onemultipliable_oneCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.