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Vl-portdecls-with-dir

Filter port declarations by direction.

Signature

(vl-portdecls-with-dir dir x) → sub-x

Arguments

dir — Guard (vl-direction-p dir).

x — Guard (vl-portdecllist-p x).

Returns

sub-x — Type (vl-portdecllist-p sub-x).

Definitions and Theorems

Function: vl-portdecls-with-dir

(defun vl-portdecls-with-dir (dir x)
  (declare (xargs :guard (and (vl-direction-p dir)
                              (vl-portdecllist-p x))))
  (let ((__function__ 'vl-portdecls-with-dir))
    (declare (ignorable __function__))
    (cond ((atom x) nil)
          ((eq (vl-direction-fix dir)
               (vl-portdecl->dir (car x)))
           (cons (vl-portdecl-fix (car x))
                 (vl-portdecls-with-dir dir (cdr x))))
          (t (vl-portdecls-with-dir dir (cdr x))))))

Theorem: vl-portdecllist-p-of-vl-portdecls-with-dir

(defthm vl-portdecllist-p-of-vl-portdecls-with-dir
  (b* ((sub-x (vl-portdecls-with-dir dir x)))
    (vl-portdecllist-p sub-x))
  :rule-classes :rewrite)

Theorem: vl-portdecls-with-dir-of-vl-direction-fix-dir

(defthm vl-portdecls-with-dir-of-vl-direction-fix-dir
  (equal (vl-portdecls-with-dir (vl-direction-fix dir)
                                x)
         (vl-portdecls-with-dir dir x)))

Theorem: vl-portdecls-with-dir-vl-direction-equiv-congruence-on-dir

(defthm vl-portdecls-with-dir-vl-direction-equiv-congruence-on-dir
  (implies (vl-direction-equiv dir dir-equiv)
           (equal (vl-portdecls-with-dir dir x)
                  (vl-portdecls-with-dir dir-equiv x)))
  :rule-classes :congruence)

Theorem: vl-portdecls-with-dir-of-vl-portdecllist-fix-x

(defthm vl-portdecls-with-dir-of-vl-portdecllist-fix-x
  (equal (vl-portdecls-with-dir dir (vl-portdecllist-fix x))
         (vl-portdecls-with-dir dir x)))

Theorem: vl-portdecls-with-dir-vl-portdecllist-equiv-congruence-on-x

(defthm vl-portdecls-with-dir-vl-portdecllist-equiv-congruence-on-x
  (implies (vl-portdecllist-equiv x x-equiv)
           (equal (vl-portdecls-with-dir dir x)
                  (vl-portdecls-with-dir dir x-equiv)))
  :rule-classes :congruence)