Theorems · Theorem · number theory
Chebyshev.psi_sub_theta_le
∀ {x : ℝ}, 1 ≤ x → Chebyshev.psi x - Chebyshev.theta x ≤ 2 * √x * Real.log x- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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_reflproof · cited by 2,061
- Real.logstatement · cited by 939
- le_imp_le_of_le_of_leproof · cited by 576
- Real.sqrtstatement · cited by 545
- le_abs_selfproof · cited by 113
- Chebyshev.thetastatement and proof · cited by 38
- Chebyshev.psistatement and proof · cited by 34
- Chebyshev.abs_psi_sub_theta_le_sqrt_mul_logproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Chebyshev.theta_geproof · cited by 0
- Chebyshev.theta_ge'proof · cited by 0