Theorems · Theorem · number theory
Nat.ofDigits_append
∀ {b : ℕ} {l1 l2 : List ℕ}, Nat.ofDigits b (l1 ++ l2) = Nat.ofDigits b l1 + b ^ l1.length * Nat.ofDigits b l2- Defined in
- Mathlib.Data.Nat.Digits.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
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.
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- pow_zeroproof · cited by 1,094
- Nat.ofDigitsstatement and proof · cited by 61
Cited by5
Results whose statement or proof uses this declaration.
- Nat.pow_length_le_mul_ofDigitsproof · cited by 1
- Nat.ofDigits_append_replicate_zeroproof · cited by 1
- Nat.ofDigits_append_zeroproof · cited by 1
- Nat.ofDigits_digits_append_digitsproof · cited by 1
- Nat.ofDigits_reverse_consproof · cited by 0