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• Vl-svstmt.lisp

Vl-case-xcond-wrapper

Signature

(vl-case-xcond-wrapper x full-conservative config) → new-x

Arguments

x — Guard (sv::svstmtlist-p x).

full-conservative — Guard (sv::svex-p full-conservative).

config — Guard (svstmt-config-p config).

Returns

new-x — Type (sv::svstmtlist-p new-x).

Definitions and Theorems

Function: vl-case-xcond-wrapper

(defun vl-case-xcond-wrapper (x full-conservative config)
 (declare (xargs :guard (and (sv::svstmtlist-p x)
                             (sv::svex-p full-conservative)
                             (svstmt-config-p config))))
 (let ((__function__ 'vl-case-xcond-wrapper))
   (declare (ignorable __function__))
   (b*
     ((conservative (svstmt-config->uniquecase-conservative config))
      ((unless (and (<= 3 (lnfix conservative))
                    (not (equal (sv::svex-fix full-conservative)
                                0))))
       (sv::svstmtlist-fix x)))
     (list (sv::make-svstmt-xcond :cond full-conservative
                                  :body x)))))

Theorem: svstmtlist-p-of-vl-case-xcond-wrapper

(defthm svstmtlist-p-of-vl-case-xcond-wrapper
  (b* ((new-x (vl-case-xcond-wrapper x full-conservative config)))
    (sv::svstmtlist-p new-x))
  :rule-classes :rewrite)

Theorem: svarlist-addr-p-of-vl-case-xcond-wrapper

(defthm svarlist-addr-p-of-vl-case-xcond-wrapper
 (b* ((?new-x (vl-case-xcond-wrapper x full-conservative config)))
   (implies
        (and (sv::svarlist-addr-p (sv::svex-vars full-conservative))
             (sv::svarlist-addr-p (sv::svstmtlist-vars x)))
        (sv::svarlist-addr-p (sv::svstmtlist-vars new-x)))))

Theorem: vl-case-xcond-wrapper-of-svstmtlist-fix-x

(defthm vl-case-xcond-wrapper-of-svstmtlist-fix-x
  (equal (vl-case-xcond-wrapper (sv::svstmtlist-fix x)
                                full-conservative config)
         (vl-case-xcond-wrapper x full-conservative config)))

Theorem: vl-case-xcond-wrapper-svstmtlist-equiv-congruence-on-x

(defthm vl-case-xcond-wrapper-svstmtlist-equiv-congruence-on-x
 (implies
   (sv::svstmtlist-equiv x x-equiv)
   (equal (vl-case-xcond-wrapper x full-conservative config)
          (vl-case-xcond-wrapper x-equiv full-conservative config)))
 :rule-classes :congruence)

Theorem: vl-case-xcond-wrapper-of-svex-fix-full-conservative

(defthm vl-case-xcond-wrapper-of-svex-fix-full-conservative
  (equal (vl-case-xcond-wrapper x (sv::svex-fix full-conservative)
                                config)
         (vl-case-xcond-wrapper x full-conservative config)))

Theorem: vl-case-xcond-wrapper-svex-equiv-congruence-on-full-conservative

(defthm
   vl-case-xcond-wrapper-svex-equiv-congruence-on-full-conservative
 (implies
   (sv::svex-equiv full-conservative
                   full-conservative-equiv)
   (equal (vl-case-xcond-wrapper x full-conservative config)
          (vl-case-xcond-wrapper x full-conservative-equiv config)))
 :rule-classes :congruence)

Theorem: vl-case-xcond-wrapper-of-svstmt-config-fix-config

(defthm vl-case-xcond-wrapper-of-svstmt-config-fix-config
  (equal (vl-case-xcond-wrapper x full-conservative
                                (svstmt-config-fix config))
         (vl-case-xcond-wrapper x full-conservative config)))

Theorem: vl-case-xcond-wrapper-svstmt-config-equiv-congruence-on-config

(defthm
     vl-case-xcond-wrapper-svstmt-config-equiv-congruence-on-config
 (implies
   (svstmt-config-equiv config config-equiv)
   (equal (vl-case-xcond-wrapper x full-conservative config)
          (vl-case-xcond-wrapper x full-conservative config-equiv)))
 :rule-classes :congruence)