Theorems · Theorem · number theory
Behrend.roth_lower_bound
∀ {N : ℕ}, ↑N * Real.exp (-4 * √(Real.log ↑N)) ≤ ↑(rothNumberNat N)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 233 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- mul_oneproof · cited by 3,885
- LE.le.transproof · cited by 3,151
- zero_addproof · cited by 2,366
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.logstatement and proof · cited by 939
- OrderHomstatement · cited by 934
- Real.expstatement and proof · cited by 871
- Real.sqrtstatement and proof · cited by 545
- CharP.cast_eq_zeroproof · cited by 357
Cited by1
Results whose statement or proof uses this declaration.
- ruzsaSzemerediNumberNat_lower_boundproof · cited by 1