Theorems · Theorem · number theory
Chebyshev.psi_eq_log_lcmUpto
∀ (n : ℕ), Chebyshev.psi ↑n = Real.log ↑n.lcmUpto
ψ n is the logarithm of lcmUpto n.
- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Finset.sum_congrproof · cited by 2,323
- Real.logstatement and proof · cited by 939
- Nat.cast_powproof · cited by 131
- Nat.logproof · cited by 101
- Chebyshev.psistatement and proof · cited by 34
- Nat.primesLEproof · cited by 30
- Real.log_powproof · cited by 29
- Nat.cast_prodproof · cited by 15
- Nat.lcmUptostatement · cited by 13
- Real.log_prodproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Chebyshev.psi_geproof · cited by 3