Get the name field from a expr-member.
This is an ordinary field accessor created by fty::defprod.
Function:
(defun expr-member->name$inline (x) (declare (xargs :guard (exprp x))) (declare (xargs :guard (equal (expr-kind x) :member))) (let ((__function__ 'expr-member->name)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (expr-kind x) :member) x))) (ident-fix (std::da-nth 1 (cdr x)))) :exec (std::da-nth 1 (cdr x)))))
Theorem:
(defthm identp-of-expr-member->name (b* ((name (expr-member->name$inline x))) (identp name)) :rule-classes :rewrite)
Theorem:
(defthm expr-member->name$inline-of-expr-fix-x (equal (expr-member->name$inline (expr-fix x)) (expr-member->name$inline x)))
Theorem:
(defthm expr-member->name$inline-expr-equiv-congruence-on-x (implies (expr-equiv x x-equiv) (equal (expr-member->name$inline x) (expr-member->name$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm expr-member->name-when-wrong-kind (implies (not (equal (expr-kind x) :member)) (equal (expr-member->name x) (ident-fix nil))))