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Syntax-abstraction

Abs-constraint

Abstract a constraint to a constraint.

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

Definitions and Theorems

Function: abs-constraint

(defun abs-constraint (tree)
 (declare (xargs :guard (abnf::treep tree)))
 (let ((__function__ 'abs-constraint))
  (declare (ignorable __function__))
  (b* (((okf tree)
        (check-tree-nonleaf-1-1 tree "constraint"))
       ((okf rulename?)
        (check-tree-nonleaf? tree)))
   (cond
    ((equal rulename? "equality-constraint")
     (abs-equality-constraint tree))
    ((equal rulename? "relation-constraint")
     (abs-relation-constraint tree))
    (t
     (reserrf (list :found-subtree (tree-info-for-error tree))))))))

Theorem: constraint-resultp-of-abs-constraint

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

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

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

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

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