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