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