Theorems · Theorem · number theory
Nat.digits_eq_nil_iff_eq_zero
∀ {b n : ℕ}, b.digits n = [] ↔ n = 0- Defined in
- Mathlib.Data.Nat.Digits.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 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.
- Nat.digitsstatement and proof · cited by 70
- Nat.ofDigitsproof · cited by 61
- Nat.digits_zeroproof · cited by 15
- Nat.ofDigits_digitsproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Nat.digits_ne_nil_iff_ne_zeroproof · cited by 5