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G-concrete

G-concrete->val

Get the val field from a g-concrete.

Signature
(g-concrete->val x) → fty::x.name
Arguments: x — Guard (fgl-object-p x).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: g-concrete->val$inline

(defun g-concrete->val$inline (x)
  (declare (xargs :guard (fgl-object-p x)))
  (declare (xargs :guard (equal (fgl-object-kind x)
                                :g-concrete)))
  (let ((__function__ 'g-concrete->val))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (fgl-object-kind x) :g-concrete)
                      x)))
           (if (consp x) (cdr x) x))
         :exec (if (consp x) (cdr x) x))))

Theorem: g-concrete->val$inline-of-fgl-object-fix-x

(defthm g-concrete->val$inline-of-fgl-object-fix-x
  (equal (g-concrete->val$inline (fgl-object-fix x))
         (g-concrete->val$inline x)))

Theorem: g-concrete->val$inline-fgl-object-equiv-congruence-on-x

(defthm g-concrete->val$inline-fgl-object-equiv-congruence-on-x
  (implies (fgl-object-equiv x x-equiv)
           (equal (g-concrete->val$inline x)
                  (g-concrete->val$inline x-equiv)))
  :rule-classes :congruence)

Theorem: g-concrete->val-when-wrong-kind

(defthm g-concrete->val-when-wrong-kind
  (implies (not (equal (fgl-object-kind x) :g-concrete))
           (equal (g-concrete->val x) nil)))