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• Sv::vl-expr.lisp

Vl-seltrace-add-to-path

Signature

(vl-seltrace-add-to-path x path) → new-path

Arguments

x — Guard (vl-seltrace-p x).

path — Guard (sv::path-p path).

Returns

new-path — Type (sv::path-p new-path).

Definitions and Theorems

Function: vl-seltrace-add-to-path

(defun vl-seltrace-add-to-path (x path)
 (declare (xargs :guard (and (vl-seltrace-p x)
                             (sv::path-p path))))
 (declare (xargs :guard (equal (vl-seltrace-unres-count x) 0)))
 (let ((__function__ 'vl-seltrace-add-to-path))
  (declare (ignorable __function__))
  (if (atom x)
      (sv::path-fix path)
   (vl-seltrace-add-to-path
     (cdr x)
     (sv::make-path-scope :namespace (vl-selstep->svex-name (car x))
                          :subpath path)))))

Theorem: path-p-of-vl-seltrace-add-to-path

(defthm path-p-of-vl-seltrace-add-to-path
  (b* ((new-path (vl-seltrace-add-to-path x path)))
    (sv::path-p new-path))
  :rule-classes :rewrite)

Theorem: vl-seltrace-add-to-path-of-vl-seltrace-fix-x

(defthm vl-seltrace-add-to-path-of-vl-seltrace-fix-x
  (equal (vl-seltrace-add-to-path (vl-seltrace-fix x)
                                  path)
         (vl-seltrace-add-to-path x path)))

Theorem: vl-seltrace-add-to-path-vl-seltrace-equiv-congruence-on-x

(defthm vl-seltrace-add-to-path-vl-seltrace-equiv-congruence-on-x
  (implies (vl-seltrace-equiv x x-equiv)
           (equal (vl-seltrace-add-to-path x path)
                  (vl-seltrace-add-to-path x-equiv path)))
  :rule-classes :congruence)

Theorem: vl-seltrace-add-to-path-of-path-fix-path

(defthm vl-seltrace-add-to-path-of-path-fix-path
  (equal (vl-seltrace-add-to-path x (sv::path-fix path))
         (vl-seltrace-add-to-path x path)))

Theorem: vl-seltrace-add-to-path-path-equiv-congruence-on-path

(defthm vl-seltrace-add-to-path-path-equiv-congruence-on-path
  (implies (sv::path-equiv path path-equiv)
           (equal (vl-seltrace-add-to-path x path)
                  (vl-seltrace-add-to-path x path-equiv)))
  :rule-classes :congruence)