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