Theorems · Theorem · number theory
LiouvilleNumber.partialSum_add_remainder
∀ {m : ℝ}, 1 < m → ∀ (k : ℕ), LiouvilleNumber.partialSum m k + LiouvilleNumber.remainder m k = liouvilleNumber mSplit the sum defining a Liouville number into the first k terms and the rest.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Summable.sum_add_tsum_nat_addproof · cited by 6
- LiouvilleNumber.remainderstatement · cited by 5
- LiouvilleNumber.partialSumstatement · cited by 4
- liouvilleNumberstatement · cited by 3
- LiouvilleNumber.summableproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- liouville_liouvilleNumberproof · cited by 1