		Search-engine friendly clone of the ACL2 documentation.

Output-section

Output-section->item

Get the item field from a output-section.

Signature
(output-section->item x) → item
Arguments: x — Guard (output-sectionp x).
Returns: item — Type (output-itemp item).

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

Definitions and Theorems

Function: output-section->item$inline

(defun output-section->item$inline (x)
  (declare (xargs :guard (output-sectionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'output-section->item))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (output-item-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: output-itemp-of-output-section->item

(defthm output-itemp-of-output-section->item
  (b* ((item (output-section->item$inline x)))
    (output-itemp item))
  :rule-classes :rewrite)

Theorem: output-section->item$inline-of-output-section-fix-x

(defthm output-section->item$inline-of-output-section-fix-x
  (equal (output-section->item$inline (output-section-fix x))
         (output-section->item$inline x)))

Theorem: output-section->item$inline-output-section-equiv-congruence-on-x

(defthm
   output-section->item$inline-output-section-equiv-congruence-on-x
  (implies (output-section-equiv x x-equiv)
           (equal (output-section->item$inline x)
                  (output-section->item$inline x-equiv)))
  :rule-classes :congruence)