		Search-engine friendly clone of the ACL2 documentation.

Syntax-abstraction

Abs-unit-expression

Abstract a unit-expression to a expression.

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

Definitions and Theorems

Function: abs-unit-expression

(defun abs-unit-expression (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-unit-expression))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple2 sub))
          (abnf::check-tree-nonleaf-2 tree "unit-expression"))
         ((okf tree)
          (abnf::check-tree-list-1 sub.1st))
         ((okf &)
          (abnf::check-tree-ichars tree "("))
         ((okf tree)
          (abnf::check-tree-list-1 sub.2nd))
         ((okf &)
          (abnf::check-tree-ichars tree ")")))
      (expression-unit))))

Theorem: expression-resultp-of-abs-unit-expression

(defthm expression-resultp-of-abs-unit-expression
  (b* ((expression (abs-unit-expression tree)))
    (expression-resultp expression))
  :rule-classes :rewrite)

Theorem: abs-unit-expression-of-tree-fix-tree

(defthm abs-unit-expression-of-tree-fix-tree
  (equal (abs-unit-expression (abnf::tree-fix tree))
         (abs-unit-expression tree)))

Theorem: abs-unit-expression-tree-equiv-congruence-on-tree

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