Theorems · Theorem · number theory
Nat.dvd_iff_dvd_digits_sum
∀ (b b' : ℕ), b' % b = 1 → ∀ (n : ℕ), b ∣ n ↔ b ∣ (b'.digits n).sum
- Defined in
- Mathlib.Data.Nat.Digits.Div
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.digitsstatement and proof · cited by 70
- Nat.ofDigitsproof · cited by 61
- Nat.ofDigits_digitsproof · cited by 15
- Nat.ofDigits_oneproof · cited by 5
- Nat.ofDigits_modproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Nat.three_dvd_iffproof · cited by 0
- Nat.nine_dvd_iffproof · cited by 0