Get the case-insens field from a regex-case-sens.
This is an ordinary field accessor created by defprod.
Function:
(defun regex-case-sens->case-insens$inline (x) (declare (xargs :guard (regex-p x))) (declare (xargs :guard (equal (regex-kind x) :case-sens))) (let ((__function__ 'regex-case-sens->case-insens)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (regex-kind x) :case-sens) x))) (acl2::bool-fix (std::da-nth 1 (cdr x)))) :exec (std::da-nth 1 (cdr x)))))
Theorem:
(defthm booleanp-of-regex-case-sens->case-insens (b* ((case-insens (regex-case-sens->case-insens$inline x))) (booleanp case-insens)) :rule-classes :type-prescription)
Theorem:
(defthm regex-case-sens->case-insens$inline-of-regex-fix-x (equal (regex-case-sens->case-insens$inline (regex-fix x)) (regex-case-sens->case-insens$inline x)))
Theorem:
(defthm regex-case-sens->case-insens$inline-regex-equiv-congruence-on-x (implies (regex-equiv x x-equiv) (equal (regex-case-sens->case-insens$inline x) (regex-case-sens->case-insens$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm regex-case-sens->case-insens-when-wrong-kind (implies (not (equal (regex-kind x) :case-sens)) (equal (regex-case-sens->case-insens x) (acl2::bool-fix nil))))