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