Theorems · Definition · number theory
Nat.ofDigits
{α : Type u_1} → [Semiring α] → α → List ℕ → αofDigits b L takes a list L of natural numbers, and interprets them
as a number in semiring, as the little-endian digits in base b.
- Defined in
- Mathlib.Data.Nat.Digits.Defs
- Cited by
- 61 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
Cited by62
Results whose statement or proof uses this declaration.
- Nat.ofDigits_digitsstatement and proof · cited by 15
- List.fixedLengthDigitsproof · cited by 13
- Nat.ofDigits_appendstatement and proof · cited by 5
- Nat.ofDigits_onestatement and proof · cited by 5
- Nat.ofDigits_singletonstatement · cited by 4
- Nat.setInvOn_digitsAppend_ofDigitsstatement and proof · cited by 3
- Nat.modEq_digits_sumproof · cited by 2
- Nat.bijOn_ofDigitsstatement · cited by 2
- Nat.bijOn_ofDigits'statement and proof · cited by 2
- Nat.mapsTo_ofDigitsstatement · cited by 2
- Nat.dvd_iff_dvd_digits_sumproof · cited by 2
- Nat.zmodeq_ofDigits_digitsstatement and proof · cited by 2