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• Vl-col-after-printing-string

Vl-col-after-printing-string-aux

Signature

(vl-col-after-printing-string-aux col x n xl) → new-col

Arguments

col — Current column we're at.
    Guard (natp col).

x — String we're about to print, not yet reversed.
    Guard (stringp x).

n — Current position in X.
    Guard (natp n).

xl — Pre-computed length of X.
    Guard (eql xl (length x)).

Returns

new-col — Type (natp new-col).

Definitions and Theorems

Function: vl-col-after-printing-string-aux

(defun vl-col-after-printing-string-aux (col x n xl)
 (declare (xargs :guard (and (natp col)
                             (stringp x)
                             (natp n)
                             (eql xl (length x)))))
 (declare (type unsigned-byte col n xl)
          (type string x))
 (declare (xargs :split-types t :guard (<= n xl)))
 (let ((__function__ 'vl-col-after-printing-string-aux))
  (declare (ignorable __function__))
  (mbe
     :logic (vl-col-after-printing-chars col (nthcdr n (explode x)))
     :exec (cond ((eql xl n) col)
                 ((eql (char x n) #\Newline)
                  (vl-col-after-printing-string-aux 0 x (+ 1 n)
                                                    xl))
                 (t (vl-col-after-printing-string-aux (+ 1 col)
                                                      x (+ 1 n)
                                                      xl))))))

Theorem: natp-of-vl-col-after-printing-string-aux

(defthm natp-of-vl-col-after-printing-string-aux
  (b* ((new-col (vl-col-after-printing-string-aux col x n xl)))
    (natp new-col))
  :rule-classes :type-prescription)

Theorem: vl-col-after-printing-string-aux-of-nfix-col

(defthm vl-col-after-printing-string-aux-of-nfix-col
  (equal (vl-col-after-printing-string-aux (nfix col)
                                           x n xl)
         (vl-col-after-printing-string-aux col x n xl)))

Theorem: vl-col-after-printing-string-aux-nat-equiv-congruence-on-col

(defthm vl-col-after-printing-string-aux-nat-equiv-congruence-on-col
  (implies
       (acl2::nat-equiv col col-equiv)
       (equal (vl-col-after-printing-string-aux col x n xl)
              (vl-col-after-printing-string-aux col-equiv x n xl)))
  :rule-classes :congruence)

Theorem: vl-col-after-printing-string-aux-of-str-fix-x

(defthm vl-col-after-printing-string-aux-of-str-fix-x
  (equal (vl-col-after-printing-string-aux col (str-fix x)
                                           n xl)
         (vl-col-after-printing-string-aux col x n xl)))

Theorem: vl-col-after-printing-string-aux-streqv-congruence-on-x

(defthm vl-col-after-printing-string-aux-streqv-congruence-on-x
  (implies
       (streqv x x-equiv)
       (equal (vl-col-after-printing-string-aux col x n xl)
              (vl-col-after-printing-string-aux col x-equiv n xl)))
  :rule-classes :congruence)

Theorem: vl-col-after-printing-string-aux-of-nfix-n

(defthm vl-col-after-printing-string-aux-of-nfix-n
  (equal (vl-col-after-printing-string-aux col x (nfix n)
                                           xl)
         (vl-col-after-printing-string-aux col x n xl)))

Theorem: vl-col-after-printing-string-aux-nat-equiv-congruence-on-n

(defthm vl-col-after-printing-string-aux-nat-equiv-congruence-on-n
  (implies
       (acl2::nat-equiv n n-equiv)
       (equal (vl-col-after-printing-string-aux col x n xl)
              (vl-col-after-printing-string-aux col x n-equiv xl)))
  :rule-classes :congruence)