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Parser

Lex-group-address-char

Signature
(lex-group-address-char input) → (mv tree rest-input)
Arguments: input — Guard (nat-listp input).
Returns: tree — Type (abnf::tree-resultp tree).; rest-input — Type (nat-listp rest-input).

Definitions and Theorems

Function: lex-group-address-char

(defun lex-group-address-char (input)
  (declare (xargs :guard (nat-listp input)))
  (let ((__function__ 'lex-group-address-char))
    (declare (ignorable __function__))
    (b* (((mv first-nat input-after-first-nat)
          (abnf::parse-next input))
         ((when (reserrp first-nat))
          (mv (reserrf-push first-nat)
              (nat-list-fix input)))
         ((unless (address-char-nat-p first-nat))
          (mv (reserrf "not a valid address char")
              (nat-list-fix input))))
      (mv (abnf::tree-leafterm (list first-nat))
          input-after-first-nat))))

Theorem: tree-resultp-of-lex-group-address-char.tree

(defthm tree-resultp-of-lex-group-address-char.tree
  (b* (((mv ?tree ?rest-input)
        (lex-group-address-char input)))
    (abnf::tree-resultp tree))
  :rule-classes :rewrite)

Theorem: nat-listp-of-lex-group-address-char.rest-input

(defthm nat-listp-of-lex-group-address-char.rest-input
  (b* (((mv ?tree ?rest-input)
        (lex-group-address-char input)))
    (nat-listp rest-input))
  :rule-classes :rewrite)

Theorem: len-of-lex-group-address-char-<

(defthm len-of-lex-group-address-char-<
  (b* (((mv ?tree ?rest-input)
        (lex-group-address-char input)))
    (implies (not (reserrp tree))
             (< (len rest-input) (len input))))
  :rule-classes :linear)

Theorem: lex-group-address-char-of-nat-list-fix-input

(defthm lex-group-address-char-of-nat-list-fix-input
  (equal (lex-group-address-char (nat-list-fix input))
         (lex-group-address-char input)))

Theorem: lex-group-address-char-nat-list-equiv-congruence-on-input

(defthm lex-group-address-char-nat-list-equiv-congruence-on-input
  (implies (acl2::nat-list-equiv input input-equiv)
           (equal (lex-group-address-char input)
                  (lex-group-address-char input-equiv)))
  :rule-classes :congruence)