Theorems · Theorem · number theory
log_add_one_le_harmonic
∀ (n : ℕ), Real.log ↑(n + 1) ≤ ↑(harmonic n)
- Defined in
- Mathlib.NumberTheory.Harmonic.Bounds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Finset.sumproof · cited by 5,195
- Nat.cast_oneproof · cited by 2,501
- Finset.sum_congrproof · cited by 2,323
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- Real.logstatement and proof · cited by 939
- div_oneproof · cited by 629
- Nat.cast_addproof · cited by 586
- intervalIntegralproof · cited by 546
- Set.uIccproof · cited by 393
- Finset.Iccproof · cited by 348
- Rat.cast_natCastproof · cited by 67
Cited by1
Results whose statement or proof uses this declaration.
- log_le_harmonic_floorproof · cited by 0