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Scopesubst

Vl-modelement-scopesubst

Scopesubstitute into a vl-modelement-p.

Signature
(vl-modelement-scopesubst x ss) → new-x
Arguments: x — Guard (vl-modelement-p x).; ss — Guard (vl-scopestack-p ss).
Returns: new-x — Type (vl-modelement-p new-x).

Definitions and Theorems

Function: vl-modelement-scopesubst

(defun vl-modelement-scopesubst (x ss)
  (declare (xargs :guard (and (vl-modelement-p x)
                              (vl-scopestack-p ss))))
  (declare (ignorable x ss))
  (let ((__function__ 'vl-modelement-scopesubst))
    (declare (ignorable __function__))
    (b* ((x (vl-modelement-fix x)))
      (case (tag x)
            (:vl-portdecl (vl-portdecl-scopesubst x ss))
            (:vl-assign (vl-assign-scopesubst x ss))
            (:vl-alias (vl-alias-scopesubst x ss))
            (:vl-vardecl (vl-vardecl-scopesubst x ss))
            (:vl-paramdecl (vl-paramdecl-scopesubst x ss))
            (:vl-fundecl (vl-fundecl-scopesubst x ss))
            (:vl-modinst (vl-modinst-scopesubst x ss))
            (:vl-gateinst (vl-gateinst-scopesubst x ss))
            (:vl-always (vl-always-scopesubst x ss))
            (:vl-initial (vl-initial-scopesubst x ss))
            (otherwise x)))))

Theorem: vl-modelement-p-of-vl-modelement-scopesubst

(defthm vl-modelement-p-of-vl-modelement-scopesubst
  (b* ((new-x (vl-modelement-scopesubst x ss)))
    (vl-modelement-p new-x))
  :rule-classes :rewrite)

Theorem: vl-modelement-scopesubst-of-vl-modelement-fix-x

(defthm vl-modelement-scopesubst-of-vl-modelement-fix-x
  (equal (vl-modelement-scopesubst (vl-modelement-fix x)
                                   ss)
         (vl-modelement-scopesubst x ss)))

Theorem: vl-modelement-scopesubst-vl-modelement-equiv-congruence-on-x

(defthm vl-modelement-scopesubst-vl-modelement-equiv-congruence-on-x
  (implies (vl-modelement-equiv x x-equiv)
           (equal (vl-modelement-scopesubst x ss)
                  (vl-modelement-scopesubst x-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-modelement-scopesubst-of-vl-scopestack-fix-ss

(defthm vl-modelement-scopesubst-of-vl-scopestack-fix-ss
  (equal (vl-modelement-scopesubst x (vl-scopestack-fix ss))
         (vl-modelement-scopesubst x ss)))

Theorem: vl-modelement-scopesubst-vl-scopestack-equiv-congruence-on-ss

(defthm
      vl-modelement-scopesubst-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-modelement-scopesubst x ss)
                  (vl-modelement-scopesubst x ss-equiv)))
  :rule-classes :congruence)