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