Theorems · Theorem · number theory
Behrend.bound
∀ {N : ℕ}, 4096 ≤ N → ↑N ^ (↑(Behrend.nValue N))⁻¹ / Real.exp 1 < ↑(Behrend.dValue N)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites46
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
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- Nat.cast_zeroproof · cited by 1,870
- le_of_ltproof · cited by 1,175
- le_transproof · cited by 985
- Real.logproof · cited by 939
- Real.expstatement and proof · cited by 871
- div_eq_mul_invproof · cited by 715
- le_imp_le_of_le_of_leproof · cited by 576
- Real.sqrtproof · cited by 545
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.roth_lower_bound_explicitproof · cited by 1