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Theorems · Definition · sequences and series

SummationFilter.symmetricIcc

(G : Type u_1) → [Neg G] → [inst : Preorder G] → [LocallyFiniteOrder G] → SummationFilter G

The SummationFilter on a locally finite order G corresponding to the symmetric intervals Icc (-N) N·

Defined in
Mathlib.Topology.Algebra.InfiniteSum.ConditionalInt
Cited by
16 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
NegPreorderLocallyFiniteOrder

Around this declaration

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

EisensteinSeries.G2 · cited by 10EisensteinSeries.G2SummationFilter.symmetricIcc_eq_map_Icc_nat · cited by 3SummationFilter.symmetric…HasSum.hasSum_symmetricIco_of_hasSum_symmetricIcc · cited by 3HasSum.hasSum_symmetricIc…EisensteinSeries.hasSum_e2Summand_symmetricIcc · cited by 3EisensteinSeries.hasSum_e…SummationFilter.symmetricIcc_filter · cited by 2SummationFilter.symmetric…EisensteinSeries.summable_e2Summand_symmetricIcc · cited by 2EisensteinSeries.summable…HasProd.hasProd_symmetricIco_of_hasProd_symmetricIcc · cited by 2HasProd.hasProd_symmetric…SummationFilter.tsum_symmetricIcc_eq_tsum_symmetricIco · cited by 1SummationFilter.tsum_symm…EisensteinSeries.G2_eq_tsum_symmetricIco · cited by 1EisensteinSeries.G2_eq_ts…Summable.tendsto_zero_of_even_summable_symmetricIcc · cited by 1Summable.tendsto_zero_of_…SummationFilter.symmetricIcc_eq_symmetricIoo_int · cited by 0SummationFilter.symmetric…SummationFilter.symmetricIcc_le_Conditional · cited by 0SummationFilter.symmetric…SummationFilter.tprod_symmetricIcc_eq_tprod_symmetricIco · cited by 0SummationFilter.tprod_sym…SummationFilter.hasProd_symmetricIcc_iff · cited by 0SummationFilter.hasProd_s…SummationFilter.hasSum_symmetricIcc_iff · cited by 0SummationFilter.hasSum_sy…Preorder · cited by 7952PreorderFilter.atTop · cited by 2405Filter.atTopFilter.map · cited by 819Filter.mapLocallyFiniteOrder · cited by 658LocallyFiniteOrderSummationFilter · cited by 607SummationFilterFinset.Icc · cited by 348Finset.IccSummationFilter.symmetricIccCITED BYCITES

Cites6

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

Cited by17

Results whose statement or proof uses this declaration.