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