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