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Regex-repeat

Regex-repeat->max

Get the max field from a regex-repeat.

Signature
(regex-repeat->max x) → max
Arguments: x — Guard (regex-p x).
Returns: max — Type (maybe-natp max).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: regex-repeat->max$inline

(defun regex-repeat->max$inline (x)
  (declare (xargs :guard (regex-p x)))
  (declare (xargs :guard (equal (regex-kind x) :repeat)))
  (let ((__function__ 'regex-repeat->max))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (regex-kind x) :repeat) x)))
           (maybe-natp-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: maybe-natp-of-regex-repeat->max

(defthm maybe-natp-of-regex-repeat->max
  (b* ((max (regex-repeat->max$inline x)))
    (maybe-natp max))
  :rule-classes :rewrite)

Theorem: regex-repeat->max$inline-of-regex-fix-x

(defthm regex-repeat->max$inline-of-regex-fix-x
  (equal (regex-repeat->max$inline (regex-fix x))
         (regex-repeat->max$inline x)))

Theorem: regex-repeat->max$inline-regex-equiv-congruence-on-x

(defthm regex-repeat->max$inline-regex-equiv-congruence-on-x
  (implies (regex-equiv x x-equiv)
           (equal (regex-repeat->max$inline x)
                  (regex-repeat->max$inline x-equiv)))
  :rule-classes :congruence)

Theorem: regex-repeat->max-when-wrong-kind

(defthm regex-repeat->max-when-wrong-kind
  (implies (not (equal (regex-kind x) :repeat))
           (equal (regex-repeat->max x)
                  (maybe-natp-fix nil))))