Theorems · Theorem · number theory
Behrend.roth_lower_bound_explicit
∀ {N : ℕ}, 4096 ≤ N → ↑N * Real.exp (-4 * √(Real.log ↑N)) < ↑(rothNumberNat N)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites67
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- LT.lt.leproof · cited by 2,189
- LT.lt.ne'proof · cited by 1,417
- le_of_ltproof · cited by 1,175
- Real.logstatement and proof · cited by 939
- OrderHomstatement · cited by 934
- Real.expstatement and proof · cited by 871
- div_eq_mul_invproof · cited by 715
- neg_mulproof · cited by 654
- Real.sqrtstatement and proof · cited by 545
- lt_of_lt_of_leproof · cited by 438
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.roth_lower_boundproof · cited by 1