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Syntax-abstraction

Abs-literal

Abstract a literal to a literal.

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

Definitions and Theorems

Function: abs-literal

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

Theorem: literal-resultp-of-abs-literal

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

Theorem: abs-literal-of-tree-fix-tree

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

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

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