		Search-engine friendly clone of the ACL2 documentation.

Matchresult

Matchresult->len

Get the len field from a matchresult.

Signature
(matchresult->len x) → len
Arguments: x — Guard (matchresult-p x).
Returns: len — Type (natp len).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: matchresult->len$inline

(defun matchresult->len$inline (x)
  (declare (xargs :guard (matchresult-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'matchresult->len))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (std::da-nth 1 x)))
         :exec (std::da-nth 1 x))))

Theorem: natp-of-matchresult->len

(defthm natp-of-matchresult->len
  (b* ((len (matchresult->len$inline x)))
    (natp len))
  :rule-classes :type-prescription)

Theorem: matchresult->len$inline-of-matchresult-fix-x

(defthm matchresult->len$inline-of-matchresult-fix-x
  (equal (matchresult->len$inline (matchresult-fix x))
         (matchresult->len$inline x)))

Theorem: matchresult->len$inline-matchresult-equiv-congruence-on-x

(defthm matchresult->len$inline-matchresult-equiv-congruence-on-x
  (implies (matchresult-equiv x x-equiv)
           (equal (matchresult->len$inline x)
                  (matchresult->len$inline x-equiv)))
  :rule-classes :congruence)