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Clean-selects

Vl-initial-clean-selects

Signature
(vl-initial-clean-selects x ss) → new-x
Arguments: x — Guard (vl-initial-p x).; ss — Guard (vl-scopestack-p ss).
Returns: new-x — Type (vl-initial-p new-x).

Definitions and Theorems

Function: vl-initial-clean-selects

(defun vl-initial-clean-selects (x ss)
  (declare (xargs :guard (and (vl-initial-p x)
                              (vl-scopestack-p ss))))
  (declare (ignorable x ss))
  (let ((__function__ 'vl-initial-clean-selects))
    (declare (ignorable __function__))
    (b* (((vl-initial x) x))
      (change-vl-initial x
                         :stmt (vl-stmt-clean-selects x.stmt ss)))))

Theorem: vl-initial-p-of-vl-initial-clean-selects

(defthm vl-initial-p-of-vl-initial-clean-selects
  (b* ((new-x (vl-initial-clean-selects x ss)))
    (vl-initial-p new-x))
  :rule-classes :rewrite)

Theorem: vl-initial-clean-selects-of-vl-initial-fix-x

(defthm vl-initial-clean-selects-of-vl-initial-fix-x
  (equal (vl-initial-clean-selects (vl-initial-fix x)
                                   ss)
         (vl-initial-clean-selects x ss)))

Theorem: vl-initial-clean-selects-vl-initial-equiv-congruence-on-x

(defthm vl-initial-clean-selects-vl-initial-equiv-congruence-on-x
  (implies (vl-initial-equiv x x-equiv)
           (equal (vl-initial-clean-selects x ss)
                  (vl-initial-clean-selects x-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-initial-clean-selects-of-vl-scopestack-fix-ss

(defthm vl-initial-clean-selects-of-vl-scopestack-fix-ss
  (equal (vl-initial-clean-selects x (vl-scopestack-fix ss))
         (vl-initial-clean-selects x ss)))

Theorem: vl-initial-clean-selects-vl-scopestack-equiv-congruence-on-ss

(defthm
      vl-initial-clean-selects-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-initial-clean-selects x ss)
                  (vl-initial-clean-selects x ss-equiv)))
  :rule-classes :congruence)