Theorems · Theorem · number theory
LiouvilleNumber.aux_calc
∀ (n : ℕ) {m : ℝ}, 2 ≤ m → (1 - 1 / m)⁻¹ * (1 / m ^ (n + 1).factorial) ≤ 1 / (m ^ n.factorial) ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- LE.le.transproof · cited by 3,151
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- le_of_ltproof · cited by 1,175
- ne_of_gtproof · cited by 637
- Nat.factorialstatement and proof · cited by 616
- lt_of_lt_of_leproof · cited by 438
- mul_le_mul_of_nonneg_leftproof · cited by 361
- div_posproof · cited by 337
- pow_addproof · cited by 315
Cited by1
Results whose statement or proof uses this declaration.
- LiouvilleNumber.remainder_ltproof · cited by 1