Theorems · Theorem · number theory
Nat.digits_zero
∀ (b : ℕ), b.digits 0 = []
- Defined in
- Mathlib.Data.Nat.Digits.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.digitsstatement · cited by 70
Cited by15
Results whose statement or proof uses this declaration.
- Nat.ofDigits_digitsproof · cited by 15
- Nat.length_digitsproof · cited by 5
- Nat.digit_sum_leproof · cited by 2
- Nat.length_digits_le_length_digits_succproof · cited by 2
- Nat.digits_length_le_iffproof · cited by 2
- Nat.digits_lt_base'proof · cited by 2
- Nat.digits_ofDigitsproof · cited by 2
- Nat.digits_of_ltproof · cited by 2
- Nat.sub_one_mul_sum_log_div_pow_eq_sub_sum_digitsproof · cited by 1
- Nat.digits_addproof · cited by 1
- Nat.digits_eq_nil_iff_eq_zeroproof · cited by 1
- Nat.digits_getLastproof · cited by 1