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Stmt-goto

Stmt-goto->target

Get the target field from a stmt-goto.

Signature
(stmt-goto->target x) → target
Arguments: x — Guard (stmtp x).
Returns: target — Type (identp target).

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

Definitions and Theorems

Function: stmt-goto->target$inline

(defun stmt-goto->target$inline (x)
  (declare (xargs :guard (stmtp x)))
  (declare (xargs :guard (equal (stmt-kind x) :goto)))
  (mbe :logic
       (b* ((x (and (equal (stmt-kind x) :goto) x)))
         (ident-fix (std::da-nth 0 (cdr x))))
       :exec (std::da-nth 0 (cdr x))))

Theorem: identp-of-stmt-goto->target

(defthm identp-of-stmt-goto->target
  (b* ((target (stmt-goto->target$inline x)))
    (identp target))
  :rule-classes :rewrite)

Theorem: stmt-goto->target$inline-of-stmt-fix-x

(defthm stmt-goto->target$inline-of-stmt-fix-x
  (equal (stmt-goto->target$inline (stmt-fix x))
         (stmt-goto->target$inline x)))

Theorem: stmt-goto->target$inline-stmt-equiv-congruence-on-x

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

Theorem: stmt-goto->target-when-wrong-kind

(defthm stmt-goto->target-when-wrong-kind
  (implies (not (equal (stmt-kind x) :goto))
           (equal (stmt-goto->target x)
                  (ident-fix nil))))