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    • Parteval-input-processing

    Parteval-unchanging-static-in-rec-args-p

    Check if the static parameters do not change in the arguments of a recursive call of old.

    Signature
    (parteval-unchanging-static-in-rec-args-p 
         rec-args old$ yj...ym wrld) 
     
      → 
    yes/no
    Arguments
    rec-args — Arguments of a recursive call of old.
        Guard (pseudo-term-listp rec-args).
    old$ — Guard (symbolp old$).
    yj...ym — Guard (symbol-listp yj...ym).
    wrld — Guard (plist-worldp wrld).
    Returns
    yes/no — Type (booleanp yes/no).

    This is used to check if a recursive old has the case 2 form described in the reference documentation.

    Definitions and Theorems

    Function: parteval-unchanging-static-in-rec-args-p

    (defun parteval-unchanging-static-in-rec-args-p
           (rec-args old$ yj...ym wrld)
      (declare (xargs :guard (and (pseudo-term-listp rec-args)
                                  (symbolp old$)
                                  (symbol-listp yj...ym)
                                  (plist-worldp wrld))))
      (let ((__function__ 'parteval-unchanging-static-in-rec-args-p))
        (declare (ignorable __function__))
        (or (endp yj...ym)
            (b* ((yj (car yj...ym))
                 (pos (position-eq yj (formals old$ wrld))))
              (and (eq yj (nth pos rec-args))
                   (parteval-unchanging-static-in-rec-args-p
                        rec-args old$ (cdr yj...ym)
                        wrld))))))

    Theorem: booleanp-of-parteval-unchanging-static-in-rec-args-p

    (defthm booleanp-of-parteval-unchanging-static-in-rec-args-p
      (b* ((yes/no (parteval-unchanging-static-in-rec-args-p
                        rec-args old$ yj...ym wrld)))
        (booleanp yes/no))
      :rule-classes :rewrite)