Theorems · Theorem · number theory
Chebyshev.psi_eq_zero_of_lt_two
∀ {x : ℝ}, x < 2 → Chebyshev.psi x = 0- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- DFunLikeproof · cited by 576
- lt_of_le_of_ltproof · cited by 432
- Finset.Iocproof · cited by 301
- ArithmeticFunctionproof · cited by 290
- neg_neg_of_posproof · cited by 227
- Nat.floorproof · cited by 215
- Finset.sum_eq_zeroproof · cited by 139
Cited by7
Results whose statement or proof uses this declaration.
- Chebyshev.theta_le_psiproof · cited by 3
- Chebyshev.abs_psi_sub_theta_le_sqrt_mul_logproof · cited by 2
- Chebyshev.psi_eq_zero_of_le_oneproof · cited by 1
- Chebyshev.psi_le_const_mul_selfproof · cited by 1
- Chebyshev.psi_eq_zero_iffproof · cited by 0
- Chebyshev.psi_zeroproof · cited by 0
- Chebyshev.psi_oneproof · cited by 0