Theorems · Theorem · number theory
LiouvilleNumber.remainder_pos
∀ {m : ℝ}, 1 < m → ∀ (k : ℕ), 0 < LiouvilleNumber.remainder m k- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Nat.cast_oneproof · cited by 2,501
- le_of_ltproof · cited by 1,175
- Nat.factorialproof · cited by 616
- div_posproof · cited by 337
- pow_posproof · cited by 292
- lt_transproof · cited by 165
- LiouvilleNumber.remainderstatement · cited by 5
- Summable.tsum_posproof · cited by 3
- LiouvilleNumber.remainder_summableproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- liouville_liouvilleNumberproof · cited by 1