Theorems · Theorem · number theory
List.mem_fixedLengthDigits_iff
∀ {b : ℕ} (hb : 1 < b) {l : ℕ} {L : List ℕ}, L ∈ List.fixedLengthDigits hb l ↔ L.length = l ∧ ∀ x ∈ L, x < b- Defined in
- Mathlib.Data.Nat.Digits.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- List.fixedLengthDigitsstatement · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- List.fixedLengthDigits_oneproof · cited by 1
- List.fixedLengthDigits_succ_eq_disjiUnionproof · cited by 1
- List.cons_mem_fixedLengthDigits_succproof · cited by 1
- Nat.sum_sum_digits_eqproof · cited by 0