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Syntax-abstraction

Abs-relation-constraint

Abstract a relation-constraint to a constraint.

Signature
(abs-relation-constraint tree) → c
Arguments: tree — Guard (abnf::treep tree).
Returns: c — Type (constraint-resultp c).

Definitions and Theorems

Function: abs-relation-constraint

(defun abs-relation-constraint (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-relation-constraint))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple4 sub))
          (check-tree-nonleaf-4 tree "relation-constraint"))
         ((okf tree) (check-tree-list-1 sub.1st))
         ((okf id) (abs-identifier tree))
         ((okf tree) (check-tree-list-1 sub.2nd))
         ((okf &) (check-tree-schars tree "("))
         ((okf tree) (check-tree-list-1 sub.3rd))
         ((okf expressions)
          (abs-?-expression-*-comma-expression tree))
         ((okf tree) (check-tree-list-1 sub.4th))
         ((okf &) (check-tree-schars tree ")")))
      (make-constraint-relation :name id
                                :args expressions))))

Theorem: constraint-resultp-of-abs-relation-constraint

(defthm constraint-resultp-of-abs-relation-constraint
  (b* ((c (abs-relation-constraint tree)))
    (constraint-resultp c))
  :rule-classes :rewrite)

Theorem: abs-relation-constraint-of-tree-fix-tree

(defthm abs-relation-constraint-of-tree-fix-tree
  (equal (abs-relation-constraint (abnf::tree-fix tree))
         (abs-relation-constraint tree)))

Theorem: abs-relation-constraint-tree-equiv-congruence-on-tree

(defthm abs-relation-constraint-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-relation-constraint tree)
                  (abs-relation-constraint tree-equiv)))
  :rule-classes :congruence)