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Theorems · Theorem · sequences and series

SummationFilter.symmetricIcc_filter

∀ (G : Type u_1) [inst : Neg G] [inst_1 : Preorder G] [inst_2 : LocallyFiniteOrder G],
  (SummationFilter.symmetricIcc G).filter = Filter.map (fun g => Finset.Icc (-g) g) Filter.atTop
Defined in
Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
NegPreorderLocallyFiniteOrder
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Around this declaration

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

SummationFilter.symmetricIcc_eq_map_Icc_nat · cited by 3SummationFilter.symmetric…Summable.tendsto_zero_of_even_summable_symmetricIcc · cited by 1Summable.tendsto_zero_of_…Finset · cited by 13712FinsetFilter · cited by 8121FilterPreorder · cited by 7952PreorderFilter.atTop · cited by 2405Filter.atTopFilter.map · cited by 819Filter.mapLocallyFiniteOrder · cited by 658LocallyFiniteOrderFinset.Icc · cited by 348Finset.IccSummationFilter.filter · cited by 110SummationFilter.filterSummationFilter.symmetricIcc · cited by 16SummationFilter.symmetric…SummationFilter.symmetricIcc_…CITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.