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