Theorems · Theorem · number theory
integral_bernoulliFun
∀ (k : ℕ), ∫ (x : ℝ) in 0..1, bernoulliFun k x = if k = 0 then 1 else 0
- Defined in
- Mathlib.NumberTheory.ZetaValues
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- zero_addproof · cited by 2,366
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- intervalIntegralstatement · cited by 546
- Set.uIccproof · cited by 393
- CharP.cast_eq_zeroproof · cited by 357
- div_selfproof · cited by 237
- zero_divproof · cited by 222
- add_sub_cancel_leftproof · cited by 198
- bernoulliFunstatement and proof · cited by 27
- intervalIntegral.integral_eq_sub_of_hasDerivAtproof · cited by 11
- ite_divproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- integral_bernoulliFun_eq_zeroproof · cited by 2