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    • Execloader

    Merge-first-split-bytes

    Merge first n bytes (least-significant byte first) from bytes; return remaining bytes

    Signature
    (merge-first-split-bytes n bytes) → (mv merged-num rest)
    Arguments
    n — Guard (natp n).
    bytes — Guard (byte-listp bytes).
    Returns
    merged-num — Type (natp merged-num).
    rest — Type (byte-listp rest), given (byte-listp bytes).

    Definitions and Theorems

    Function: merge-first-split-bytes

    (defun merge-first-split-bytes (n bytes)
      (declare (xargs :guard (and (natp n) (byte-listp bytes))))
      (let ((__function__ 'merge-first-split-bytes))
        (declare (ignorable __function__))
        (b* (((mv first rest) (split-bytes n bytes)))
          (mv (merge-bytes first) rest))))

    Theorem: natp-of-merge-first-split-bytes.merged-num

    (defthm natp-of-merge-first-split-bytes.merged-num
      (b* (((mv ?merged-num common-lisp::?rest)
            (merge-first-split-bytes n bytes)))
        (natp merged-num))
      :rule-classes :type-prescription)

    Theorem: byte-listp-of-merge-first-split-bytes.rest

    (defthm byte-listp-of-merge-first-split-bytes.rest
      (implies (byte-listp bytes)
               (b* (((mv ?merged-num common-lisp::?rest)
                     (merge-first-split-bytes n bytes)))
                 (byte-listp rest)))
      :rule-classes :rewrite)

    Theorem: width-of-mv-nth-0-merge-first-split-bytes

    (defthm width-of-mv-nth-0-merge-first-split-bytes
      (b* (((mv ?merged-num common-lisp::?rest)
            (merge-first-split-bytes n bytes)))
        (implies (and (equal m (* 8 n)) (natp n))
                 (unsigned-byte-p m merged-num))))

    Theorem: len-of-mv-nth-1-merge-first-split-bytes

    (defthm len-of-mv-nth-1-merge-first-split-bytes
      (b* (((mv ?merged-num common-lisp::?rest)
            (merge-first-split-bytes n bytes)))
        (equal (len rest)
               (nfix (- (len bytes) (nfix n))))))