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Syntax-abstraction

Abs-function-parameter

Abstract a function-parameter to a function parameter.

Signature
(abs-function-parameter tree) → fpar
Arguments: tree — Guard (abnf::treep tree).
Returns: fpar — Type (funparam-resultp fpar).

Definitions and Theorems

Function: abs-function-parameter

(defun abs-function-parameter (tree)
 (declare (xargs :guard (abnf::treep tree)))
 (let ((__function__ 'abs-function-parameter))
  (declare (ignorable __function__))
  (b*
   (((okf (abnf::tree-list-tuple4 sub))
     (abnf::check-tree-nonleaf-4 tree "function-parameter"))
    ((okf sort)
     (b* (((okf tree)
           (abnf::check-tree-list-1 sub.1st))
          ((okf treess)
           (abnf::check-tree-nonleaf tree nil))
          ((when (endp treess))
           (var/const-sort-private))
          ((okf trees)
           (abnf::check-tree-list-list-1 treess))
          ((okf tree)
           (abnf::check-tree-list-1 trees))
          (public? (abnf::check-tree-schars tree "public"))
          ((when (not (reserrp public?)))
           (var/const-sort-public))
          (constant? (abnf::check-tree-schars tree "constant"))
          ((when (not (reserrp constant?)))
           (var/const-sort-constant))
          (const? (abnf::check-tree-schars tree "const"))
          ((when (not (reserrp const?)))
           (var/const-sort-const)))
      (reserrf
           (list :found-subtree (abnf::tree-info-for-error tree)))))
    ((okf tree)
     (abnf::check-tree-list-1 sub.2nd))
    ((okf name) (abs-identifier tree))
    ((okf tree)
     (abnf::check-tree-list-1 sub.3rd))
    ((okf &)
     (abnf::check-tree-ichars tree ":"))
    ((okf tree)
     (abnf::check-tree-list-1 sub.4th))
    ((okf type) (abs-type tree)))
   (make-funparam :name name
                  :sort sort
                  :type type))))

Theorem: funparam-resultp-of-abs-function-parameter

(defthm funparam-resultp-of-abs-function-parameter
  (b* ((fpar (abs-function-parameter tree)))
    (funparam-resultp fpar))
  :rule-classes :rewrite)

Theorem: abs-function-parameter-of-tree-fix-tree

(defthm abs-function-parameter-of-tree-fix-tree
  (equal (abs-function-parameter (abnf::tree-fix tree))
         (abs-function-parameter tree)))

Theorem: abs-function-parameter-tree-equiv-congruence-on-tree

(defthm abs-function-parameter-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-function-parameter tree)
                  (abs-function-parameter tree-equiv)))
  :rule-classes :congruence)