Theorems · Theorem · number theory
PowerSeries.coeff_pentagonalSeries_eq_zero
∀ (R : Type u_1) [inst : CommRing R] {n : ℕ},
n ∉ Set.range pentagonal → (PowerSeries.coeff n) (PowerSeries.pentagonalSeries R) = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Set.rangestatement and proof · cited by 4,705
- PowerSeriesstatement · cited by 797
- PowerSeries.coeffstatement · cited by 324
- Finsupp.single_eq_sameproof · cited by 171
- pentagonalstatement and proof · cited by 19
- PowerSeries.pentagonalSeriesstatement · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.WithPiTopology.hasSum_pentagonalSeriesproof · cited by 2