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Fundecl

Fundecl->sort

Get the sort field from a fundecl.

Signature
(fundecl->sort x) → sort
Arguments: x — Guard (fundeclp x).
Returns: sort — Type (fun-sortp sort).

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

Definitions and Theorems

Function: fundecl->sort$inline

(defun fundecl->sort$inline (x)
  (declare (xargs :guard (fundeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'fundecl->sort))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (fun-sort-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: fun-sortp-of-fundecl->sort

(defthm fun-sortp-of-fundecl->sort
  (b* ((sort (fundecl->sort$inline x)))
    (fun-sortp sort))
  :rule-classes :rewrite)

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

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

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

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