		Search-engine friendly clone of the ACL2 documentation.

Stmt-for-decl

Stmt-for-decl->next

Get the next field from a stmt-for-decl.

Signature
(stmt-for-decl->next x) → next
Arguments: x — Guard (stmtp x).
Returns: next — Type (expr-optionp next).

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

Definitions and Theorems

Function: stmt-for-decl->next$inline

(defun stmt-for-decl->next$inline (x)
  (declare (xargs :guard (stmtp x)))
  (declare (xargs :guard (equal (stmt-kind x) :for-decl)))
  (mbe :logic
       (b* ((x (and (equal (stmt-kind x) :for-decl)
                    x)))
         (expr-option-fix (car (cdr (cdr x)))))
       :exec (car (cdr (cdr x)))))

Theorem: expr-optionp-of-stmt-for-decl->next

(defthm expr-optionp-of-stmt-for-decl->next
  (b* ((next (stmt-for-decl->next$inline x)))
    (expr-optionp next))
  :rule-classes :rewrite)

Theorem: stmt-for-decl->next$inline-of-stmt-fix-x

(defthm stmt-for-decl->next$inline-of-stmt-fix-x
  (equal (stmt-for-decl->next$inline (stmt-fix x))
         (stmt-for-decl->next$inline x)))

Theorem: stmt-for-decl->next$inline-stmt-equiv-congruence-on-x

(defthm stmt-for-decl->next$inline-stmt-equiv-congruence-on-x
  (implies (stmt-equiv x x-equiv)
           (equal (stmt-for-decl->next$inline x)
                  (stmt-for-decl->next$inline x-equiv)))
  :rule-classes :congruence)

Theorem: stmt-for-decl->next-when-wrong-kind

(defthm stmt-for-decl->next-when-wrong-kind
  (implies (not (equal (stmt-kind x) :for-decl))
           (equal (stmt-for-decl->next x)
                  (expr-option-fix nil))))