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Parser

Token-stringp

Check if the given token has the given string as fringe.

Signature
(token-stringp string token) → yes/no
Arguments: string — Guard (stringp string).; token — Guard (abnf::tree-optionp token).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: token-stringp

(defun token-stringp (string token)
  (declare (xargs :guard (and (stringp string)
                              (abnf::tree-optionp token))))
  (let ((__function__ 'token-stringp))
    (declare (ignorable __function__))
    (abnf::tree-option-case
         token
         :some (equal (abnf::tree->string token.val)
                      (string=>nats (str-fix string)))
         :none nil)))

Theorem: booleanp-of-token-stringp

(defthm booleanp-of-token-stringp
  (b* ((yes/no (token-stringp string token)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: token-nonnil-when-stringp

(defthm token-nonnil-when-stringp
  (implies (token-stringp string token)
           token)
  :rule-classes :forward-chaining)

Theorem: token-stringp-of-str-fix-string

(defthm token-stringp-of-str-fix-string
  (equal (token-stringp (str-fix string) token)
         (token-stringp string token)))

Theorem: token-stringp-streqv-congruence-on-string

(defthm token-stringp-streqv-congruence-on-string
  (implies (acl2::streqv string string-equiv)
           (equal (token-stringp string token)
                  (token-stringp string-equiv token)))
  :rule-classes :congruence)

Theorem: token-stringp-of-tree-option-fix-token

(defthm token-stringp-of-tree-option-fix-token
  (equal (token-stringp string (abnf::tree-option-fix token))
         (token-stringp string token)))

Theorem: token-stringp-tree-option-equiv-congruence-on-token

(defthm token-stringp-tree-option-equiv-congruence-on-token
  (implies (abnf::tree-option-equiv token token-equiv)
           (equal (token-stringp string token)
                  (token-stringp string token-equiv)))
  :rule-classes :congruence)