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Scopesubst

Vl-delayoreventcontrol-scopesubst

Scopesubstitute into a vl-delayoreventcontrol-p.

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

Definitions and Theorems

Function: vl-delayoreventcontrol-scopesubst

(defun vl-delayoreventcontrol-scopesubst (x ss)
  (declare (xargs :guard (and (vl-delayoreventcontrol-p x)
                              (vl-scopestack-p ss))))
  (declare (ignorable x ss))
  (let ((__function__ 'vl-delayoreventcontrol-scopesubst))
    (declare (ignorable __function__))
    (b* ((x (vl-delayoreventcontrol-fix x)))
      (case (tag x)
            (:vl-delaycontrol (vl-delaycontrol-scopesubst x ss))
            (:vl-eventcontrol (vl-eventcontrol-scopesubst x ss))
            (otherwise (vl-repeateventcontrol-scopesubst x ss))))))

Theorem: vl-delayoreventcontrol-p-of-vl-delayoreventcontrol-scopesubst

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

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

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

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

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

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

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

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

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