Theorems · Theorem · number theory
Nat.mapsTo_ofDigits
∀ {b : ℕ}, 1 < b → ∀ (l : ℕ), Set.MapsTo (Nat.ofDigits b) {L | L.length = l ∧ ∀ x ∈ L, x < b} {n | n < b ^ l}- Defined in
- Mathlib.Data.Nat.Digits.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement and proof · cited by 6,101
- Set.MapsTostatement · cited by 732
- Set.mem_ofPredproof · cited by 104
- Nat.ofDigitsstatement · cited by 61
- Nat.ofDigits_lt_base_pow_lengthproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- List.fixedLengthDigitsproof · cited by 13
- Nat.setInvOn_digitsAppend_ofDigitsproof · cited by 3
- Nat.bijOn_ofDigitsproof · cited by 2