Theorems · Theorem · number theory
Chebyshev.psi_eq_psi_coe_floor
∀ (x : ℝ), Chebyshev.psi x = Chebyshev.psi ↑⌊x⌋₊
- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finset.sumproof · cited by 5,195
- Finset.Iocproof · cited by 301
- Nat.floorstatement and proof · cited by 215
- ArithmeticFunction.vonMangoldtproof · cited by 40
- Chebyshev.psistatement · cited by 34
- Nat.floor_natCastproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Chebyshev.psi_le_primeCounting_mul_log'proof · cited by 2
- Chebyshev.psi_ge'proof · cited by 2