Theorems · Theorem · number theory
Nat.digits_ofDigits
∀ (b : ℕ), 1 < b → ∀ (L : List ℕ), (∀ l ∈ L, l < b) → (∀ (h : L ≠ []), L.getLast h ≠ 0) → b.digits (Nat.ofDigits b L) = L
- Defined in
- Mathlib.Data.Nat.Digits.Defs
- 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.
Cites6
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.ofDigitsstatement and proof · cited by 61
- LT.lt.ne_botproof · cited by 26
- Nat.digits_zeroproof · cited by 15
- Nat.digits_zero_of_eq_zeroproof · cited by 1
- Nat.digits_addproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Nat.sub_one_mul_sum_div_pow_eq_sub_sum_digitsproof · cited by 1
- Nat.digits_append_digitsproof · cited by 1