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Syntax-abstraction

Abs-uppercase-letter

Abstract an uppercase-letter to an ACL2 character.

Signature
(abs-uppercase-letter tree) → char
Arguments: tree — Guard (abnf::treep tree).
Returns: char — Type (character-resultp char).

Definitions and Theorems

Function: abs-uppercase-letter

(defun abs-uppercase-letter (tree)
 (declare (xargs :guard (abnf::treep tree)))
 (let ((__function__ 'abs-uppercase-letter))
   (declare (ignorable __function__))
   (b*
    (((okf nat)
      (check-tree-nonleaf-num-range tree "uppercase-letter" 65 90)))
    (code-char nat))))

Theorem: character-resultp-of-abs-uppercase-letter

(defthm character-resultp-of-abs-uppercase-letter
  (b* ((char (abs-uppercase-letter tree)))
    (character-resultp char))
  :rule-classes :rewrite)

Theorem: ucletter-char-p-of-abs-uppercase-letter

(defthm ucletter-char-p-of-abs-uppercase-letter
  (b* ((common-lisp::?char (abs-uppercase-letter tree)))
    (implies (not (reserrp char))
             (str::ucletter-char-p char))))

Theorem: abs-uppercase-letter-of-tree-fix-tree

(defthm abs-uppercase-letter-of-tree-fix-tree
  (equal (abs-uppercase-letter (abnf::tree-fix tree))
         (abs-uppercase-letter tree)))

Theorem: abs-uppercase-letter-tree-equiv-congruence-on-tree

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