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Stmt-while

Stmt-while->test

Get the test field from a stmt-while.

Signature
(stmt-while->test x) → test
Arguments: x — Guard (stmtp x).
Returns: test — Type (exprp test).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: stmt-while->test$inline

(defun stmt-while->test$inline (x)
  (declare (xargs :guard (stmtp x)))
  (declare (xargs :guard (equal (stmt-kind x) :while)))
  (let ((__function__ 'stmt-while->test))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (stmt-kind x) :while) x)))
           (expr-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: exprp-of-stmt-while->test

(defthm exprp-of-stmt-while->test
  (b* ((test (stmt-while->test$inline x)))
    (exprp test))
  :rule-classes :rewrite)

Theorem: stmt-while->test$inline-of-stmt-fix-x

(defthm stmt-while->test$inline-of-stmt-fix-x
  (equal (stmt-while->test$inline (stmt-fix x))
         (stmt-while->test$inline x)))

Theorem: stmt-while->test$inline-stmt-equiv-congruence-on-x

(defthm stmt-while->test$inline-stmt-equiv-congruence-on-x
  (implies (stmt-equiv x x-equiv)
           (equal (stmt-while->test$inline x)
                  (stmt-while->test$inline x-equiv)))
  :rule-classes :congruence)

Theorem: stmt-while->test-when-wrong-kind

(defthm stmt-while->test-when-wrong-kind
  (implies (not (equal (stmt-kind x) :while))
           (equal (stmt-while->test x)
                  (expr-fix nil))))