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Bytes-as-digits-in-base-256

Nat=>lebytes*

Convert a natural number to its minimum-length little-endian list of bytes, seen as sigits in base 256.

Signature
(nat=>lebytes* nat) → digits
Arguments: nat — Guard (natp nat).
Returns: digits — Type (byte-listp digits).

Definitions and Theorems

Function: nat=>lebytes*

(defun nat=>lebytes* (nat)
  (declare (xargs :guard (natp nat)))
  (let ((__function__ 'nat=>lebytes*))
    (declare (ignorable __function__))
    (nat=>lendian* 256 nat)))

Theorem: byte-listp-of-nat=>lebytes*

(defthm byte-listp-of-nat=>lebytes*
  (b* ((digits (nat=>lebytes* nat)))
    (byte-listp digits))
  :rule-classes :rewrite)

Theorem: nat=>lebytes*-of-nfix-nat

(defthm nat=>lebytes*-of-nfix-nat
  (equal (nat=>lebytes* (nfix nat))
         (nat=>lebytes* nat)))

Theorem: nat=>lebytes*-nat-equiv-congruence-on-nat

(defthm nat=>lebytes*-nat-equiv-congruence-on-nat
  (implies (nat-equiv nat nat-equiv)
           (equal (nat=>lebytes* nat)
                  (nat=>lebytes* nat-equiv)))
  :rule-classes :congruence)

Subtopics

Len-of-nat=>lebytes*-leq-width
Nat=>lebytes*-of-lebytes=>nat
Nat=>lebytes*-injectivity
Lebytes=>nat-of-nat=>lebytes*