Theorems · Theorem · number theory
Nat.zmodeq_ofDigits_digits
∀ (b b' : ℕ) (c : ℤ), ↑b' ≡ c [ZMOD ↑b] → ∀ (n : ℕ), ↑n ≡ Nat.ofDigits c (b'.digits n) [ZMOD ↑b]
- Defined in
- Mathlib.Data.Nat.Digits.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 41 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.
- Int.ModEqstatement and proof · cited by 147
- Nat.digitsstatement and proof · cited by 70
- Nat.ofDigitsstatement and proof · cited by 61
- Nat.ofDigits_digitsproof · cited by 15
- Nat.ofDigits_zmodeq'proof · cited by 2
- Nat.coe_ofDigitsproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Nat.dvd_iff_dvd_ofDigitsproof · cited by 1
- Nat.modEq_eleven_digits_sumproof · cited by 0