Theorems · Theorem · number theory
Nat.digits_append_digits
∀ {b m n : ℕ}, 0 < b → b.digits n ++ b.digits m = b.digits (n + b ^ (b.digits n).length * m)- Defined in
- Mathlib.Data.Nat.Digits.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- one_powproof · cited by 521
- eq_or_lt_of_leproof · cited by 92
- Nat.digitsstatement and proof · cited by 70
- Nat.digits_lt_baseproof · cited by 7
- Nat.digits_ne_nil_iff_ne_zeroproof · cited by 5
- Nat.getLast_digit_ne_zeroproof · cited by 4
- Nat.digits_ofDigitsproof · cited by 2
- Nat.ofDigits_digits_append_digitsproof · cited by 1
- List.getLast_append_of_right_ne_nilproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nat.digits_append_zeroes_append_digitsproof · cited by 0