Theorems · Theorem · sequences and series
Summable.hasFiniteSupport_of_discreteTopology
∀ {α : Type u_5} [inst : AddCommGroup α] [inst_1 : TopologicalSpace α] [DiscreteTopology α] {β : Type u_6} (f : β → α),
Summable f → Function.HasFiniteSupport f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommGroupstatement and proof · cited by 12,871
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Summablestatement and proof · cited by 778
- DiscreteTopologystatement and proof · cited by 373
- Function.HasFiniteSupportstatement · cited by 113
- Summable.tendsto_cofinite_zeroproof · cited by 16
- discreteTopology_iff_singleton_mem_nhdsproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.coeff_subst_finiteproof · cited by 6
- Summable.finite_support_of_discreteTopologyproof · cited by 0