Theorems · Definition · number theory
LiouvilleNumber.partialSum
ℝ → ℕ → ℝ
LiouvilleNumber.partialSum is the sum of the first k + 1 terms of Liouville's constant,
i.e.
$$
\sum_{i=0}^k\frac{1}{m^{i!}}.
$$
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Finset.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
- Nat.factorialproof · cited by 616
Cited by4
Results whose statement or proof uses this declaration.
- LiouvilleNumber.partialSum_add_remainderstatement · cited by 1
- LiouvilleNumber.partialSum_eq_ratstatement and proof · cited by 1
- LiouvilleNumber.partialSum_succstatement · cited by 1
- liouville_liouvilleNumberproof · cited by 1