Get the idx field from a svex/index.
(svex/index->idx x) → idx
This is an ordinary field accessor created by defprod.
Function:
(defun svex/index->idx$inline (x) (declare (xargs :guard (svex/index-p x))) (declare (xargs :guard t)) (let ((__function__ 'svex/index->idx)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (ifix (std::prod-cdr x))) :exec (std::prod-cdr x))))
Theorem:
(defthm integerp-of-svex/index->idx (b* ((idx (svex/index->idx$inline x))) (integerp idx)) :rule-classes :type-prescription)
Theorem:
(defthm svex/index->idx$inline-of-svex/index-fix-x (equal (svex/index->idx$inline (svex/index-fix x)) (svex/index->idx$inline x)))
Theorem:
(defthm svex/index->idx$inline-svex/index-equiv-congruence-on-x (implies (svex/index-equiv x x-equiv) (equal (svex/index->idx$inline x) (svex/index->idx$inline x-equiv))) :rule-classes :congruence)