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Statement-finalize

Statement-finalize->arguments

Get the arguments field from a statement-finalize.

Signature
(statement-finalize->arguments x) → arguments
Arguments: x — Guard (statementp x).
Returns: arguments — Type (expression-listp arguments).

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

Definitions and Theorems

Function: statement-finalize->arguments$inline

(defun statement-finalize->arguments$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :finalize)))
  (let ((__function__ 'statement-finalize->arguments))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :finalize)
                      x)))
           (expression-list-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: expression-listp-of-statement-finalize->arguments

(defthm expression-listp-of-statement-finalize->arguments
  (b* ((arguments (statement-finalize->arguments$inline x)))
    (expression-listp arguments))
  :rule-classes :rewrite)

Theorem: statement-finalize->arguments$inline-of-statement-fix-x

(defthm statement-finalize->arguments$inline-of-statement-fix-x
  (equal (statement-finalize->arguments$inline (statement-fix x))
         (statement-finalize->arguments$inline x)))

Theorem: statement-finalize->arguments$inline-statement-equiv-congruence-on-x

(defthm
 statement-finalize->arguments$inline-statement-equiv-congruence-on-x
 (implies (statement-equiv x x-equiv)
          (equal (statement-finalize->arguments$inline x)
                 (statement-finalize->arguments$inline x-equiv)))
 :rule-classes :congruence)

Theorem: statement-finalize->arguments-when-wrong-kind

(defthm statement-finalize->arguments-when-wrong-kind
  (implies (not (equal (statement-kind x) :finalize))
           (equal (statement-finalize->arguments x)
                  (expression-list-fix nil))))