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Stmt-gotoe

Stmt-gotoe->label

Get the label field from a stmt-gotoe.

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

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

Definitions and Theorems

Function: stmt-gotoe->label$inline

(defun stmt-gotoe->label$inline (x)
  (declare (xargs :guard (stmtp x)))
  (declare (xargs :guard (equal (stmt-kind x) :gotoe)))
  (mbe :logic
       (b* ((x (and (equal (stmt-kind x) :gotoe) x)))
         (expr-fix (cdr x)))
       :exec (cdr x)))

Theorem: exprp-of-stmt-gotoe->label

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

Theorem: stmt-gotoe->label$inline-of-stmt-fix-x

(defthm stmt-gotoe->label$inline-of-stmt-fix-x
  (equal (stmt-gotoe->label$inline (stmt-fix x))
         (stmt-gotoe->label$inline x)))

Theorem: stmt-gotoe->label$inline-stmt-equiv-congruence-on-x

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

Theorem: stmt-gotoe->label-when-wrong-kind

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