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