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Syntax-abstraction

Abs-decrement-statement

Abstract an decrement-statement to a Leo decrement statement.

Signature
(abs-decrement-statement tree) → stat
Arguments: tree — Guard (abnf::treep tree).
Returns: stat — Type (statement-resultp stat).

Definitions and Theorems

Function: abs-decrement-statement

(defun abs-decrement-statement (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-decrement-statement))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple10 sub))
          (abnf::check-tree-nonleaf-10 tree "decrement-statement"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf &)
          (abnf::check-tree-schars tree "decrement"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf &)
          (abnf::check-tree-schars tree "("))
         ((okf tree)
          (abnf::check-tree-list-1 sub.3rd))
         ((okf mapping) (abs-identifier tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.4th))
         ((okf &)
          (abnf::check-tree-schars tree ","))
         ((okf tree)
          (abnf::check-tree-list-1 sub.5th))
         ((okf index) (abs-expression tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.6th))
         ((okf &)
          (abnf::check-tree-schars tree ","))
         ((okf tree)
          (abnf::check-tree-list-1 sub.7th))
         ((okf amount) (abs-expression tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.8th))
         ((okf ?) (check-?-comma tree))
         ((okf tree)
          (abnf::check-tree-list-1 sub.9th))
         ((okf &)
          (abnf::check-tree-schars tree ")"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.10th))
         ((okf &)
          (abnf::check-tree-schars tree ";")))
      (make-statement-decrement :mapping mapping
                                :index index
                                :amount amount))))

Theorem: statement-resultp-of-abs-decrement-statement

(defthm statement-resultp-of-abs-decrement-statement
  (b* ((stat (abs-decrement-statement tree)))
    (statement-resultp stat))
  :rule-classes :rewrite)

Theorem: abs-decrement-statement-of-tree-fix-tree

(defthm abs-decrement-statement-of-tree-fix-tree
  (equal (abs-decrement-statement (abnf::tree-fix tree))
         (abs-decrement-statement tree)))

Theorem: abs-decrement-statement-tree-equiv-congruence-on-tree

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