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Scopesubst

Vl-packeddimension-scopesubst

Scopesubstitute into a vl-packeddimension-p.

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

Definitions and Theorems

Function: vl-packeddimension-scopesubst

(defun vl-packeddimension-scopesubst (x ss)
  (declare (xargs :guard (and (vl-packeddimension-p x)
                              (vl-scopestack-p ss))))
  (declare (ignorable x ss))
  (let ((__function__ 'vl-packeddimension-scopesubst))
    (declare (ignorable __function__))
    (b* ((x (vl-packeddimension-fix x)))
      (if (eq x :vl-unsized-dimension)
          x
        (vl-range-scopesubst x ss)))))

Theorem: vl-packeddimension-p-of-vl-packeddimension-scopesubst

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

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

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

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

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

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

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

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

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