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Objdesign-element

Objdesign-element->super

Get the super field from a objdesign-element.

Signature
(objdesign-element->super x) → super
Arguments: x — Guard (objdesignp x).
Returns: super — Type (objdesignp super).

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

Definitions and Theorems

Function: objdesign-element->super$inline

(defun objdesign-element->super$inline (x)
  (declare (xargs :guard (objdesignp x)))
  (declare (xargs :guard (equal (objdesign-kind x) :element)))
  (let ((__function__ 'objdesign-element->super))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (objdesign-kind x) :element)
                      x)))
           (objdesign-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: objdesignp-of-objdesign-element->super

(defthm objdesignp-of-objdesign-element->super
  (b* ((super (objdesign-element->super$inline x)))
    (objdesignp super))
  :rule-classes :rewrite)

Theorem: objdesign-element->super$inline-of-objdesign-fix-x

(defthm objdesign-element->super$inline-of-objdesign-fix-x
  (equal (objdesign-element->super$inline (objdesign-fix x))
         (objdesign-element->super$inline x)))

Theorem: objdesign-element->super$inline-objdesign-equiv-congruence-on-x

(defthm
    objdesign-element->super$inline-objdesign-equiv-congruence-on-x
  (implies (objdesign-equiv x x-equiv)
           (equal (objdesign-element->super$inline x)
                  (objdesign-element->super$inline x-equiv)))
  :rule-classes :congruence)

Theorem: objdesign-element->super-when-wrong-kind

(defthm objdesign-element->super-when-wrong-kind
  (implies (not (equal (objdesign-kind x) :element))
           (equal (objdesign-element->super x)
                  (objdesign-fix nil))))