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Stmt-for-decl

Stmt-for-decl->init

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

Signature
(stmt-for-decl->init x) → init
Arguments: x — Guard (stmtp x).
Returns: init — Type (declp init).

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

Definitions and Theorems

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

(defun stmt-for-decl->init$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)))
         (decl-fix (car (car (cdr x)))))
       :exec (car (car (cdr x)))))

Theorem: declp-of-stmt-for-decl->init

(defthm declp-of-stmt-for-decl->init
  (b* ((init (stmt-for-decl->init$inline x)))
    (declp init))
  :rule-classes :rewrite)

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

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

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

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

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

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