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• Svstmt-assign

Svstmt-assign->writes

Get the writes field from a svstmt-assign.

Signature

(svstmt-assign->writes x) → writes

Arguments

x — Guard (svstmt-p x).

Returns

writes — Type (svstmt-writelist-p writes).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svstmt-assign->writes$inline

(defun svstmt-assign->writes$inline (x)
  (declare (xargs :guard (svstmt-p x)))
  (declare (xargs :guard (equal (svstmt-kind x) :assign)))
  (let ((__function__ 'svstmt-assign->writes))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (svstmt-kind x) :assign)
                      x)))
           (svstmt-writelist-fix (std::prod-car (cdr x))))
         :exec (std::prod-car (cdr x)))))

Theorem: svstmt-writelist-p-of-svstmt-assign->writes

(defthm svstmt-writelist-p-of-svstmt-assign->writes
  (b* ((writes (svstmt-assign->writes$inline x)))
    (svstmt-writelist-p writes))
  :rule-classes :rewrite)

Theorem: svstmt-assign->writes$inline-of-svstmt-fix-x

(defthm svstmt-assign->writes$inline-of-svstmt-fix-x
  (equal (svstmt-assign->writes$inline (svstmt-fix x))
         (svstmt-assign->writes$inline x)))

Theorem: svstmt-assign->writes$inline-svstmt-equiv-congruence-on-x

(defthm svstmt-assign->writes$inline-svstmt-equiv-congruence-on-x
  (implies (svstmt-equiv x x-equiv)
           (equal (svstmt-assign->writes$inline x)
                  (svstmt-assign->writes$inline x-equiv)))
  :rule-classes :congruence)

Theorem: svstmt-assign->writes-when-wrong-kind

(defthm svstmt-assign->writes-when-wrong-kind
  (implies (not (equal (svstmt-kind x) :assign))
           (equal (svstmt-assign->writes x)
                  (svstmt-writelist-fix nil))))