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Weirdint-elim

Vl-namedarglist-weirdint-elim

Signature
(vl-namedarglist-weirdint-elim x warnings) → (mv warnings changedp new-x)
Arguments: x — Guard (vl-namedarglist-p x).; warnings — Guard (vl-warninglist-p warnings).
Returns: warnings — Type (vl-warninglist-p warnings).; changedp — Type (booleanp changedp).; new-x — Type (vl-namedarglist-p new-x).

Definitions and Theorems

Function: vl-namedarglist-weirdint-elim

(defun vl-namedarglist-weirdint-elim (x warnings)
  (declare (xargs :guard (and (vl-namedarglist-p x)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-namedarglist-weirdint-elim))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv (ok) nil nil))
         ((mv warnings car-changedp car-prime)
          (vl-namedarg-weirdint-elim (car x)
                                     warnings))
         ((mv warnings cdr-changedp cdr-prime)
          (vl-namedarglist-weirdint-elim (cdr x)
                                         warnings))
         (changedp (or car-changedp cdr-changedp))
         (x-prime (if changedp (cons car-prime cdr-prime)
                    (vl-namedarglist-fix x))))
      (mv warnings changedp x-prime))))

Theorem: vl-warninglist-p-of-vl-namedarglist-weirdint-elim.warnings

(defthm vl-warninglist-p-of-vl-namedarglist-weirdint-elim.warnings
  (b* (((mv ?warnings ?changedp ?new-x)
        (vl-namedarglist-weirdint-elim x warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: booleanp-of-vl-namedarglist-weirdint-elim.changedp

(defthm booleanp-of-vl-namedarglist-weirdint-elim.changedp
  (b* (((mv ?warnings ?changedp ?new-x)
        (vl-namedarglist-weirdint-elim x warnings)))
    (booleanp changedp))
  :rule-classes :type-prescription)

Theorem: vl-namedarglist-p-of-vl-namedarglist-weirdint-elim.new-x

(defthm vl-namedarglist-p-of-vl-namedarglist-weirdint-elim.new-x
  (b* (((mv ?warnings ?changedp ?new-x)
        (vl-namedarglist-weirdint-elim x warnings)))
    (vl-namedarglist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-namedarglist-weirdint-elim-of-vl-namedarglist-fix-x

(defthm vl-namedarglist-weirdint-elim-of-vl-namedarglist-fix-x
  (equal (vl-namedarglist-weirdint-elim (vl-namedarglist-fix x)
                                        warnings)
         (vl-namedarglist-weirdint-elim x warnings)))

Theorem: vl-namedarglist-weirdint-elim-vl-namedarglist-equiv-congruence-on-x

(defthm
 vl-namedarglist-weirdint-elim-vl-namedarglist-equiv-congruence-on-x
 (implies (vl-namedarglist-equiv x x-equiv)
          (equal (vl-namedarglist-weirdint-elim x warnings)
                 (vl-namedarglist-weirdint-elim x-equiv warnings)))
 :rule-classes :congruence)

Theorem: vl-namedarglist-weirdint-elim-of-vl-warninglist-fix-warnings

(defthm vl-namedarglist-weirdint-elim-of-vl-warninglist-fix-warnings
 (equal
     (vl-namedarglist-weirdint-elim x (vl-warninglist-fix warnings))
     (vl-namedarglist-weirdint-elim x warnings)))

Theorem: vl-namedarglist-weirdint-elim-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-namedarglist-weirdint-elim-vl-warninglist-equiv-congruence-on-warnings
 (implies (vl-warninglist-equiv warnings warnings-equiv)
          (equal (vl-namedarglist-weirdint-elim x warnings)
                 (vl-namedarglist-weirdint-elim x warnings-equiv)))
 :rule-classes :congruence)