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Parser

Lex-repetition-*-comment/ws

Lex *( comment / ws ).

Signature
(lex-repetition-*-comment/ws input) → (mv ret-trees ret-input)
Arguments: input — Guard (nat-listp input).
Returns: ret-trees — Type (abnf::tree-listp ret-trees).; ret-input — Type (nat-listp ret-input).

Definitions and Theorems

Function: lex-repetition-*-comment/ws

(defun lex-repetition-*-comment/ws (input)
  (declare (xargs :guard (nat-listp input)))
  (let ((__function__ 'lex-repetition-*-comment/ws))
    (declare (ignorable __function__))
    (b* (((mv tree1 input1)
          (lex-group-comment/ws input))
         ((when (or (reserrp tree1)
                    (= (len input1) (len input))))
          (mv nil (nat-list-fix input)))
         ((mv rest-trees rest-input)
          (lex-repetition-*-comment/ws input1)))
      (mv (cons tree1 rest-trees)
          (nat-list-fix rest-input)))))

Theorem: tree-listp-of-lex-repetition-*-comment/ws.ret-trees

(defthm tree-listp-of-lex-repetition-*-comment/ws.ret-trees
  (b* (((mv ?ret-trees ?ret-input)
        (lex-repetition-*-comment/ws input)))
    (abnf::tree-listp ret-trees))
  :rule-classes :rewrite)

Theorem: nat-listp-of-lex-repetition-*-comment/ws.ret-input

(defthm nat-listp-of-lex-repetition-*-comment/ws.ret-input
  (b* (((mv ?ret-trees ?ret-input)
        (lex-repetition-*-comment/ws input)))
    (nat-listp ret-input))
  :rule-classes :rewrite)

Theorem: len-of-lex-repetition-*-comment/ws

(defthm len-of-lex-repetition-*-comment/ws
  (b* (((mv ?ret-trees ?ret-input)
        (lex-repetition-*-comment/ws input)))
    (<= (len ret-input) (len input)))
  :rule-classes :linear)

Theorem: lex-repetition-*-comment/ws-of-nat-list-fix-input

(defthm lex-repetition-*-comment/ws-of-nat-list-fix-input
  (equal (lex-repetition-*-comment/ws (nat-list-fix input))
         (lex-repetition-*-comment/ws input)))

Theorem: lex-repetition-*-comment/ws-nat-list-equiv-congruence-on-input

(defthm
     lex-repetition-*-comment/ws-nat-list-equiv-congruence-on-input
  (implies (acl2::nat-list-equiv input input-equiv)
           (equal (lex-repetition-*-comment/ws input)
                  (lex-repetition-*-comment/ws input-equiv)))
  :rule-classes :congruence)