Theorems · Theorem · number theory
log_le_harmonic_floor
∀ (y : ℝ), 0 ≤ y → Real.log y ≤ ↑(harmonic ⌊y⌋₊)
- Defined in
- Mathlib.NumberTheory.Harmonic.Bounds
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- LE.le.transproof · cited by 3,151
- Real.logstatement and proof · cited by 939
- Nat.floorstatement and proof · cited by 215
- lt_of_le_of_ne'proof · cited by 149
- Real.log_zeroproof · cited by 84
- Real.log_le_logproof · cited by 39
- Nat.le_ceilproof · cited by 38
- Rat.cast_zeroproof · cited by 29
- harmonicstatement and proof · cited by 27
- Nat.floor_zeroproof · cited by 6
- Nat.ceil_le_floor_add_oneproof · cited by 3
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