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Aexp-var

Aexp-var->name

Get the name field from a aexp-var.

Signature
(aexp-var->name x) → name
Arguments: x — Guard (aexpp x).
Returns: name — Type (stringp name).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: aexp-var->name$inline

(defun aexp-var->name$inline (x)
  (declare (xargs :guard (aexpp x)))
  (declare (xargs :guard (equal (aexp-kind x) :var)))
  (let ((__function__ 'aexp-var->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (aexp-kind x) :var) x)))
           (str-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: stringp-of-aexp-var->name

(defthm stringp-of-aexp-var->name
  (b* ((name (aexp-var->name$inline x)))
    (stringp name))
  :rule-classes :rewrite)

Theorem: aexp-var->name$inline-of-aexp-fix-x

(defthm aexp-var->name$inline-of-aexp-fix-x
  (equal (aexp-var->name$inline (aexp-fix x))
         (aexp-var->name$inline x)))

Theorem: aexp-var->name$inline-aexp-equiv-congruence-on-x

(defthm aexp-var->name$inline-aexp-equiv-congruence-on-x
  (implies (aexp-equiv x x-equiv)
           (equal (aexp-var->name$inline x)
                  (aexp-var->name$inline x-equiv)))
  :rule-classes :congruence)

Theorem: aexp-var->name-when-wrong-kind

(defthm aexp-var->name-when-wrong-kind
  (implies (not (equal (aexp-kind x) :var))
           (equal (aexp-var->name x)
                  (str-fix nil))))