Theorems · Theorem · number theory
Liouville.liouvilleWith
∀ {x : ℝ}, Liouville x → ∀ (p : ℝ), LiouvilleWith p xA Liouville number is a Liouville number with any real exponent.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- absproof · cited by 1,814
- Nat.ceilproof · cited by 141
- Real.rpow_natCastproof · cited by 93
- Filter.eventually_gt_atTopproof · cited by 90
- Filter.Frequently.monoproof · cited by 64
- LiouvilleWithstatement and proof · cited by 52
- Nat.le_ceilproof · cited by 38
- Liouvillestatement and proof · cited by 17
- Filter.Eventually.and_frequentlyproof · cited by 7
- LiouvilleWith.monoproof · cited by 1
- Liouville.frequently_exists_numproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ae_not_liouvilleproof · cited by 2
- forall_liouvilleWith_iffproof · cited by 0