Theorems · Theorem · number theory
bernoulliFun_eval_one
∀ (k : ℕ), bernoulliFun k 1 = bernoulliFun k 0 + if k = 1 then 1 else 0
- Defined in
- Mathlib.NumberTheory.ZetaValues
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Algebra.algebraMapproof · cited by 4,706
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Polynomial.mapproof · cited by 806
- Polynomial.evalproof · cited by 796
- Rat.cast_oneproof · cited by 52
- bernoulliproof · cited by 42
- Polynomial.bernoulliproof · cited by 41
- Rat.cast_divproof · cited by 37
- bernoulliFunstatement and proof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- bernoulliFourierCoeff_recurrenceproof · cited by 2
- integral_bernoulliFunproof · cited by 1
- bernoulliFun_eval_halfproof · cited by 0