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