Theorems · Theorem · number theory
Nat.digits_add
∀ (b : ℕ), 1 < b → ∀ (x y : ℕ), x < b → x ≠ 0 ∨ y ≠ 0 → b.digits (x + b * y) = x :: b.digits y
- Defined in
- Mathlib.Data.Nat.Digits.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.digitsstatement and proof · cited by 70
- Nat.digits_zeroproof · cited by 15
- Nat.digitsAuxproof · cited by 6
- Nat.digitsAux_defproof · cited by 3
- Nat.digits_of_ltproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.digits_ofDigitsproof · cited by 2