Theorems · Theorem · sequences and series
Multipliable.countable_mulSupport
∀ {α : Type u_1} {G : Type u_4} [inst : TopologicalSpace G] [inst_1 : CommGroup G] [IsTopologicalGroup G] {f : α → G}
[FirstCountableTopology G] [T1Space G], Multipliable f → (Function.mulSupport f).Countable- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
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
- Set.preimageproof · cited by 4,946
- Compl.complproof · cited by 2,925
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- CommGroupstatement and proof · cited by 990
- Set.Countablestatement and proof · cited by 545
- IsTopologicalGroupstatement and proof · cited by 469
- T1Spacestatement and proof · cited by 275
- Function.mulSupportstatement · cited by 240
- Multipliablestatement and proof · cited by 213
- FirstCountableTopologystatement and proof · cited by 106
- Multipliable.tendsto_cofinite_oneproof · cited by 6
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