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