Theorems · Theorem · number theory
Behrend.le_sqrt_log
∀ {N : ℕ}, 4096 ≤ N → Real.log (2 / (1 - 2 / Real.exp 1)) * (69 / 50) ≤ √(Real.log ↑N)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- le_of_ltproof · cited by 1,175
- Real.logstatement and proof · cited by 939
- Real.expstatement and proof · cited by 871
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- zero_lt_oneproof · cited by 598
- Real.sqrtstatement and proof · cited by 545
Cited by1
Results whose statement or proof uses this declaration.
- Behrend.boundproof · cited by 1