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Scopesubst

Vl-interfaceport-scopesubst

Scopesubstitute into a vl-interfaceport-p.

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

Definitions and Theorems

Function: vl-interfaceport-scopesubst

(defun vl-interfaceport-scopesubst (x ss)
 (declare (xargs :guard (and (vl-interfaceport-p x)
                             (vl-scopestack-p ss))))
 (declare (ignorable x ss))
 (let ((__function__ 'vl-interfaceport-scopesubst))
  (declare (ignorable __function__))
  (change-vl-interfaceport
      x
      :udims
      (vl-packeddimensionlist-scopesubst (vl-interfaceport->udims x)
                                         ss))))

Theorem: vl-interfaceport-p-of-vl-interfaceport-scopesubst

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

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

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

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

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

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

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

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

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