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Vl-bindelim-modinstlist-add-atts

Signature

(vl-bindelim-modinstlist-add-atts x intent) → new-x

Arguments

x — Guard (vl-modinstlist-p x).

intent — Guard (vl-bindintent-p intent).

Returns

new-x — Type (vl-modinstlist-p new-x).

Definitions and Theorems

Function: vl-bindelim-modinstlist-add-atts

(defun vl-bindelim-modinstlist-add-atts (x intent)
  (declare (xargs :guard (and (vl-modinstlist-p x)
                              (vl-bindintent-p intent))))
  (let ((__function__ 'vl-bindelim-modinstlist-add-atts))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (cons (vl-bindelim-modinst-add-atts (car x)
                                          intent)
            (vl-bindelim-modinstlist-add-atts (cdr x)
                                              intent)))))

Theorem: vl-modinstlist-p-of-vl-bindelim-modinstlist-add-atts

(defthm vl-modinstlist-p-of-vl-bindelim-modinstlist-add-atts
  (b* ((new-x (vl-bindelim-modinstlist-add-atts x intent)))
    (vl-modinstlist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-bindelim-modinstlist-add-atts-of-vl-modinstlist-fix-x

(defthm vl-bindelim-modinstlist-add-atts-of-vl-modinstlist-fix-x
  (equal (vl-bindelim-modinstlist-add-atts (vl-modinstlist-fix x)
                                           intent)
         (vl-bindelim-modinstlist-add-atts x intent)))

Theorem: vl-bindelim-modinstlist-add-atts-vl-modinstlist-equiv-congruence-on-x

(defthm
 vl-bindelim-modinstlist-add-atts-vl-modinstlist-equiv-congruence-on-x
 (implies (vl-modinstlist-equiv x x-equiv)
          (equal (vl-bindelim-modinstlist-add-atts x intent)
                 (vl-bindelim-modinstlist-add-atts x-equiv intent)))
 :rule-classes :congruence)

Theorem: vl-bindelim-modinstlist-add-atts-of-vl-bindintent-fix-intent

(defthm vl-bindelim-modinstlist-add-atts-of-vl-bindintent-fix-intent
 (equal
     (vl-bindelim-modinstlist-add-atts x (vl-bindintent-fix intent))
     (vl-bindelim-modinstlist-add-atts x intent)))

Theorem: vl-bindelim-modinstlist-add-atts-vl-bindintent-equiv-congruence-on-intent

(defthm
 vl-bindelim-modinstlist-add-atts-vl-bindintent-equiv-congruence-on-intent
 (implies (vl-bindintent-equiv intent intent-equiv)
          (equal (vl-bindelim-modinstlist-add-atts x intent)
                 (vl-bindelim-modinstlist-add-atts x intent-equiv)))
 :rule-classes :congruence)