Theorems · Theorem · number theory
Nat.ofDigits_one
∀ (L : List ℕ), Nat.ofDigits 1 L = L.sum
- Defined in
- Mathlib.Data.Nat.Digits.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- Nat.ofDigitsstatement and proof · cited by 61
Cited by5
Results whose statement or proof uses this declaration.
- Nat.dvd_iff_dvd_digits_sumproof · cited by 2
- Nat.modEq_digits_sumproof · cited by 2
- Nat.digit_sum_leproof · cited by 2
- Nat.sub_one_mul_sum_div_pow_eq_sub_sum_digitsproof · cited by 1
- Nat.sum_le_ofDigitsproof · cited by 1