		Search-engine friendly clone of the ACL2 documentation.

Vl-design-wildelim

Vl-delayoreventcontrol-wildelim

Eliminate ==? and !=? operators throughout a vl-delayoreventcontrol-p

Signature
(vl-delayoreventcontrol-wildelim x ctx warnings) → (mv warnings new-x)
Arguments: x — Guard (vl-delayoreventcontrol-p x).; ctx — Guard (vl-context-p ctx).; warnings — Guard (vl-warninglist-p warnings).
Returns: warnings — Type (vl-warninglist-p warnings).; new-x — Type (vl-delayoreventcontrol-p new-x).

Definitions and Theorems

Function: vl-delayoreventcontrol-wildelim

(defun vl-delayoreventcontrol-wildelim (x ctx warnings)
 (declare (xargs :guard (and (vl-delayoreventcontrol-p x)
                             (vl-context-p ctx)
                             (vl-warninglist-p warnings))))
 (let ((__function__ 'vl-delayoreventcontrol-wildelim))
  (declare (ignorable __function__))
  (b* ((x (vl-delayoreventcontrol-fix x))
       (warnings (vl-warninglist-fix warnings)))
   (case
     (tag x)
     (:vl-delaycontrol (vl-delaycontrol-wildelim x ctx warnings))
     (:vl-eventcontrol (vl-eventcontrol-wildelim x ctx warnings))
     (otherwise (vl-repeateventcontrol-wildelim x ctx warnings))))))

Theorem: vl-warninglist-p-of-vl-delayoreventcontrol-wildelim.warnings

(defthm vl-warninglist-p-of-vl-delayoreventcontrol-wildelim.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-delayoreventcontrol-wildelim x ctx warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-delayoreventcontrol-p-of-vl-delayoreventcontrol-wildelim.new-x

(defthm
  vl-delayoreventcontrol-p-of-vl-delayoreventcontrol-wildelim.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-delayoreventcontrol-wildelim x ctx warnings)))
    (vl-delayoreventcontrol-p new-x))
  :rule-classes :rewrite)

Theorem: vl-delayoreventcontrol-wildelim-of-vl-delayoreventcontrol-fix-x

(defthm
    vl-delayoreventcontrol-wildelim-of-vl-delayoreventcontrol-fix-x
 (equal
     (vl-delayoreventcontrol-wildelim (vl-delayoreventcontrol-fix x)
                                      ctx warnings)
     (vl-delayoreventcontrol-wildelim x ctx warnings)))

Theorem: vl-delayoreventcontrol-wildelim-vl-delayoreventcontrol-equiv-congruence-on-x

(defthm
 vl-delayoreventcontrol-wildelim-vl-delayoreventcontrol-equiv-congruence-on-x
 (implies
     (vl-delayoreventcontrol-equiv x x-equiv)
     (equal (vl-delayoreventcontrol-wildelim x ctx warnings)
            (vl-delayoreventcontrol-wildelim x-equiv ctx warnings)))
 :rule-classes :congruence)

Theorem: vl-delayoreventcontrol-wildelim-of-vl-context-fix-ctx

(defthm vl-delayoreventcontrol-wildelim-of-vl-context-fix-ctx
  (equal (vl-delayoreventcontrol-wildelim x (vl-context-fix ctx)
                                          warnings)
         (vl-delayoreventcontrol-wildelim x ctx warnings)))

Theorem: vl-delayoreventcontrol-wildelim-vl-context-equiv-congruence-on-ctx

(defthm
 vl-delayoreventcontrol-wildelim-vl-context-equiv-congruence-on-ctx
 (implies
     (vl-context-equiv ctx ctx-equiv)
     (equal (vl-delayoreventcontrol-wildelim x ctx warnings)
            (vl-delayoreventcontrol-wildelim x ctx-equiv warnings)))
 :rule-classes :congruence)

Theorem: vl-delayoreventcontrol-wildelim-of-vl-warninglist-fix-warnings

(defthm
     vl-delayoreventcontrol-wildelim-of-vl-warninglist-fix-warnings
  (equal (vl-delayoreventcontrol-wildelim
              x ctx (vl-warninglist-fix warnings))
         (vl-delayoreventcontrol-wildelim x ctx warnings)))

Theorem: vl-delayoreventcontrol-wildelim-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-delayoreventcontrol-wildelim-vl-warninglist-equiv-congruence-on-warnings
 (implies
     (vl-warninglist-equiv warnings warnings-equiv)
     (equal (vl-delayoreventcontrol-wildelim x ctx warnings)
            (vl-delayoreventcontrol-wildelim x ctx warnings-equiv)))
 :rule-classes :congruence)