Get the name field from a fgl-rule-primitive.
(fgl-rule-primitive->name x) → name
This is an ordinary field accessor created by defprod.
Function:
(defun fgl-rule-primitive->name$inline (x) (declare (xargs :guard (fgl-rule-p x))) (declare (xargs :guard (equal (fgl-rule-kind x) :primitive))) (let ((__function__ 'fgl-rule-primitive->name)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (fgl-rule-kind x) :primitive) x))) (pseudo-fnsym-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm pseudo-fnsym-p-of-fgl-rule-primitive->name (b* ((name (fgl-rule-primitive->name$inline x))) (pseudo-fnsym-p name)) :rule-classes :rewrite)
Theorem:
(defthm fgl-rule-primitive->name$inline-of-fgl-rule-fix-x (equal (fgl-rule-primitive->name$inline (fgl-rule-fix x)) (fgl-rule-primitive->name$inline x)))
Theorem:
(defthm fgl-rule-primitive->name$inline-fgl-rule-equiv-congruence-on-x (implies (fgl-rule-equiv x x-equiv) (equal (fgl-rule-primitive->name$inline x) (fgl-rule-primitive->name$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm fgl-rule-primitive->name-when-wrong-kind (implies (not (equal (fgl-rule-kind x) :primitive)) (equal (fgl-rule-primitive->name x) (pseudo-fnsym-fix nil))))