Get the car field from a g-cons.
(g-cons->car x) → car
This is an ordinary field accessor created by defprod.
Function:
(defun g-cons->car$inline (x) (declare (xargs :guard (fgl-object-p x))) (declare (xargs :guard (equal (fgl-object-kind x) :g-cons))) (let ((__function__ 'g-cons->car)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (fgl-object-kind x) :g-cons) x))) (fgl-object-fix (car x))) :exec (car x))))
Theorem:
(defthm fgl-object-p-of-g-cons->car (b* ((car (g-cons->car$inline x))) (fgl-object-p car)) :rule-classes :rewrite)
Theorem:
(defthm g-cons->car$inline-of-fgl-object-fix-x (equal (g-cons->car$inline (fgl-object-fix x)) (g-cons->car$inline x)))
Theorem:
(defthm g-cons->car$inline-fgl-object-equiv-congruence-on-x (implies (fgl-object-equiv x x-equiv) (equal (g-cons->car$inline x) (g-cons->car$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm g-cons->car-when-wrong-kind (implies (not (equal (fgl-object-kind x) :g-cons)) (equal (g-cons->car x) (fgl-object-fix nil))))