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• Substitution

Vl-interfaceport-subst

Substitute into a vl-interfaceport-p.

Signature

(vl-interfaceport-subst x sigma) → new-x

Arguments

x — Guard (vl-interfaceport-p x).

sigma — Guard (vl-sigma-p sigma).

Returns

new-x — Type (vl-interfaceport-p new-x).

Definitions and Theorems

Function: vl-interfaceport-subst

(defun vl-interfaceport-subst (x sigma)
 (declare (xargs :guard (and (vl-interfaceport-p x)
                             (vl-sigma-p sigma))))
 (declare (ignorable x sigma))
 (let ((__function__ 'vl-interfaceport-subst))
  (declare (ignorable __function__))
  (change-vl-interfaceport
    x
    :udims (vl-packeddimensionlist-subst (vl-interfaceport->udims x)
                                         sigma))))

Theorem: vl-interfaceport-p-of-vl-interfaceport-subst

(defthm vl-interfaceport-p-of-vl-interfaceport-subst
  (b* ((new-x (vl-interfaceport-subst x sigma)))
    (vl-interfaceport-p new-x))
  :rule-classes :rewrite)

Theorem: vl-interfaceport-subst-of-vl-interfaceport-fix-x

(defthm vl-interfaceport-subst-of-vl-interfaceport-fix-x
  (equal (vl-interfaceport-subst (vl-interfaceport-fix x)
                                 sigma)
         (vl-interfaceport-subst x sigma)))

Theorem: vl-interfaceport-subst-vl-interfaceport-equiv-congruence-on-x

(defthm
      vl-interfaceport-subst-vl-interfaceport-equiv-congruence-on-x
  (implies (vl-interfaceport-equiv x x-equiv)
           (equal (vl-interfaceport-subst x sigma)
                  (vl-interfaceport-subst x-equiv sigma)))
  :rule-classes :congruence)

Theorem: vl-interfaceport-subst-of-vl-sigma-fix-sigma

(defthm vl-interfaceport-subst-of-vl-sigma-fix-sigma
  (equal (vl-interfaceport-subst x (vl-sigma-fix sigma))
         (vl-interfaceport-subst x sigma)))

Theorem: vl-interfaceport-subst-vl-sigma-equiv-congruence-on-sigma

(defthm vl-interfaceport-subst-vl-sigma-equiv-congruence-on-sigma
  (implies (vl-sigma-equiv sigma sigma-equiv)
           (equal (vl-interfaceport-subst x sigma)
                  (vl-interfaceport-subst x sigma-equiv)))
  :rule-classes :congruence)