Theorems · Theorem · number theory
List.sum_fixedLengthDigits_sum
∀ {b : ℕ} (hb : 1 < b) (l : ℕ), ∑ L ∈ List.fixedLengthDigits hb l, L.sum = l * b ^ (l - 1) * b.choose 2- Defined in
- Mathlib.Data.Nat.Digits.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Finset.sumstatement and proof · cited by 5,195
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.zero_mulproof · cited by 1,625
- Finset.rangeproof · cited by 1,341
- Set.Iioproof · cited by 1,166
Cited by1
Results whose statement or proof uses this declaration.
- Nat.sum_sum_digits_eqproof · cited by 0