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Funparam

Funparam->sort

Get the sort field from a funparam.

Signature
(funparam->sort x) → sort
Arguments: x — Guard (funparamp x).
Returns: sort — Type (var/const-sortp sort).

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

Definitions and Theorems

Function: funparam->sort$inline

(defun funparam->sort$inline (x)
  (declare (xargs :guard (funparamp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'funparam->sort))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (var/const-sort-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: var/const-sortp-of-funparam->sort

(defthm var/const-sortp-of-funparam->sort
  (b* ((sort (funparam->sort$inline x)))
    (var/const-sortp sort))
  :rule-classes :rewrite)

Theorem: funparam->sort$inline-of-funparam-fix-x

(defthm funparam->sort$inline-of-funparam-fix-x
  (equal (funparam->sort$inline (funparam-fix x))
         (funparam->sort$inline x)))

Theorem: funparam->sort$inline-funparam-equiv-congruence-on-x

(defthm funparam->sort$inline-funparam-equiv-congruence-on-x
  (implies (funparam-equiv x x-equiv)
           (equal (funparam->sort$inline x)
                  (funparam->sort$inline x-equiv)))
  :rule-classes :congruence)