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Vl-patternkey-update-subexprs

Signature

(vl-patternkey-update-subexprs x subexprs) → new-x

Arguments

x — Guard (vl-patternkey-p x).

subexprs — Guard (vl-exprlist-p subexprs).

Returns

new-x — Type (vl-patternkey-p new-x).

Definitions and Theorems

Function: vl-patternkey-update-subexprs

(defun vl-patternkey-update-subexprs (x subexprs)
  (declare (xargs :guard (and (vl-patternkey-p x)
                              (vl-exprlist-p subexprs))))
  (declare (xargs :guard (equal (len subexprs)
                                (len (vl-patternkey->subexprs x)))))
  (let ((__function__ 'vl-patternkey-update-subexprs))
    (declare (ignorable __function__))
    (vl-patternkey-case
         x
         :expr (change-vl-patternkey-expr x
                                          :key (car subexprs))
         :otherwise (vl-patternkey-fix x))))

Theorem: vl-patternkey-p-of-vl-patternkey-update-subexprs

(defthm vl-patternkey-p-of-vl-patternkey-update-subexprs
  (b* ((new-x (vl-patternkey-update-subexprs x subexprs)))
    (vl-patternkey-p new-x))
  :rule-classes :rewrite)

Theorem: vl-patternkey-update-subexprs-identity

(defthm vl-patternkey-update-subexprs-identity
  (equal
       (vl-patternkey-update-subexprs x (vl-patternkey->subexprs x))
       (vl-patternkey-fix x)))

Theorem: vl-patternkey-update-subexprs-identity2

(defthm vl-patternkey-update-subexprs-identity2
 (implies
  (equal (len y)
         (len (vl-patternkey->subexprs x)))
  (equal
       (vl-patternkey->subexprs (vl-patternkey-update-subexprs x y))
       (vl-exprlist-fix y))))

Theorem: vl-patternkey-update-subexprs-of-vl-patternkey-fix-x

(defthm vl-patternkey-update-subexprs-of-vl-patternkey-fix-x
  (equal (vl-patternkey-update-subexprs (vl-patternkey-fix x)
                                        subexprs)
         (vl-patternkey-update-subexprs x subexprs)))

Theorem: vl-patternkey-update-subexprs-vl-patternkey-equiv-congruence-on-x

(defthm
  vl-patternkey-update-subexprs-vl-patternkey-equiv-congruence-on-x
  (implies (vl-patternkey-equiv x x-equiv)
           (equal (vl-patternkey-update-subexprs x subexprs)
                  (vl-patternkey-update-subexprs x-equiv subexprs)))
  :rule-classes :congruence)

Theorem: vl-patternkey-update-subexprs-of-vl-exprlist-fix-subexprs

(defthm vl-patternkey-update-subexprs-of-vl-exprlist-fix-subexprs
 (equal (vl-patternkey-update-subexprs x (vl-exprlist-fix subexprs))
        (vl-patternkey-update-subexprs x subexprs)))

Theorem: vl-patternkey-update-subexprs-vl-exprlist-equiv-congruence-on-subexprs

(defthm
 vl-patternkey-update-subexprs-vl-exprlist-equiv-congruence-on-subexprs
 (implies (vl-exprlist-equiv subexprs subexprs-equiv)
          (equal (vl-patternkey-update-subexprs x subexprs)
                 (vl-patternkey-update-subexprs x subexprs-equiv)))
 :rule-classes :congruence)