Get the name field from a axi-var.
(axi-var->name x) → name
This is an ordinary field accessor created by fty::defprod.
Function:
(defun axi-var->name$inline (x) (declare (xargs :guard (axi-term-p x))) (declare (xargs :guard (equal (axi-term-kind x) :var))) (let ((__function__ 'axi-var->name)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (axi-term-kind x) :var) x))) (axi-varname-fix x)) :exec x)))
Theorem:
(defthm axi-varname-p-of-axi-var->name (b* ((name (axi-var->name$inline x))) (axi-varname-p name)) :rule-classes :type-prescription)
Theorem:
(defthm axi-var->name$inline-of-axi-term-fix-x (equal (axi-var->name$inline (axi-term-fix x)) (axi-var->name$inline x)))
Theorem:
(defthm axi-var->name$inline-axi-term-equiv-congruence-on-x (implies (axi-term-equiv x x-equiv) (equal (axi-var->name$inline x) (axi-var->name$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm axi-var->name-when-wrong-kind (implies (not (equal (axi-term-kind x) :var)) (equal (axi-var->name x) (axi-varname-fix nil))))