Theorems · Theorem · number theory
PowerSeries.WithPiTopology.hasSum_pentagonalSeries
∀ (R : Type u_1) [inst : CommRing R] [inst_1 : TopologicalSpace R], HasSum (fun k => ↑↑k.negOnePow * PowerSeries.X ^ pentagonal k) (PowerSeries.pentagonalSeries R)
PowerSeries.pentagonalSeries as an infinite sum over integers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidproof · cited by 12,281
- Set.rangeproof · cited by 4,705
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Units.valstatement and proof · cited by 1,966
- MulZeroClass.zero_mulproof · cited by 1,625
- map_zeroproof · cited by 1,614
- map_oneproof · cited by 861
- PowerSeriesstatement and proof · cited by 797
- SummationFilterproof · cited by 607
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.WithPiTopology.hasSum_pow_pentagonal_sub_pentagonalSeriesproof · cited by 1
- PowerSeries.WithPiTopology.pentagonalSeries_eq_tsumproof · cited by 0