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Syntax-abstraction

Abs-expression-alt

Signature
(abs-expression-alt tree) → ret-expr
Arguments: tree — Guard (abnf::treep tree).
Returns: ret-expr — Type (expressionp ret-expr).

Definitions and Theorems

Function: abs-expression-alt

(defun abs-expression-alt (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (declare (xargs :guard (cst-matchp tree "expression")))
  (let ((__function__ 'abs-expression-alt))
    (declare (ignorable __function__))
    (let ((expr (abs-expression tree)))
      (if (expressionp expr)
          expr
        (make-expression-var :name "ABSTRACTION ERROR")))))

Theorem: expressionp-of-abs-expression-alt

(defthm expressionp-of-abs-expression-alt
  (b* ((ret-expr (abs-expression-alt tree)))
    (expressionp ret-expr))
  :rule-classes :rewrite)

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

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

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

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