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Vl-design-wildelim

Vl-maybe-paramvalue-wildelim

Eliminate ==? and !=? operators throughout a vl-maybe-paramvalue-p

Signature
(vl-maybe-paramvalue-wildelim x ctx warnings) → (mv warnings new-x)
Arguments: x — Guard (vl-maybe-paramvalue-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-maybe-paramvalue-p new-x).

Definitions and Theorems

Function: vl-maybe-paramvalue-wildelim$inline

(defun vl-maybe-paramvalue-wildelim$inline (x ctx warnings)
  (declare (xargs :guard (and (vl-maybe-paramvalue-p x)
                              (vl-context-p ctx)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-maybe-paramvalue-wildelim))
    (declare (ignorable __function__))
    (b* ((x (vl-maybe-paramvalue-fix x))
         (warnings (vl-warninglist-fix warnings)))
      (if x (vl-paramvalue-wildelim x ctx warnings)
        (mv warnings x)))))

Theorem: vl-warninglist-p-of-vl-maybe-paramvalue-wildelim.warnings

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

Theorem: vl-maybe-paramvalue-p-of-vl-maybe-paramvalue-wildelim.new-x

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

Theorem: vl-maybe-paramvalue-wildelim$inline-of-vl-maybe-paramvalue-fix-x

(defthm
   vl-maybe-paramvalue-wildelim$inline-of-vl-maybe-paramvalue-fix-x
 (equal
    (vl-maybe-paramvalue-wildelim$inline (vl-maybe-paramvalue-fix x)
                                         ctx warnings)
    (vl-maybe-paramvalue-wildelim$inline x ctx warnings)))

Theorem: vl-maybe-paramvalue-wildelim$inline-vl-maybe-paramvalue-equiv-congruence-on-x

(defthm
 vl-maybe-paramvalue-wildelim$inline-vl-maybe-paramvalue-equiv-congruence-on-x
 (implies
   (vl-maybe-paramvalue-equiv x x-equiv)
   (equal
        (vl-maybe-paramvalue-wildelim$inline x ctx warnings)
        (vl-maybe-paramvalue-wildelim$inline x-equiv ctx warnings)))
 :rule-classes :congruence)

Theorem: vl-maybe-paramvalue-wildelim$inline-of-vl-context-fix-ctx

(defthm vl-maybe-paramvalue-wildelim$inline-of-vl-context-fix-ctx
  (equal (vl-maybe-paramvalue-wildelim$inline x (vl-context-fix ctx)
                                              warnings)
         (vl-maybe-paramvalue-wildelim$inline x ctx warnings)))

Theorem: vl-maybe-paramvalue-wildelim$inline-vl-context-equiv-congruence-on-ctx

(defthm
 vl-maybe-paramvalue-wildelim$inline-vl-context-equiv-congruence-on-ctx
 (implies
   (vl-context-equiv ctx ctx-equiv)
   (equal
        (vl-maybe-paramvalue-wildelim$inline x ctx warnings)
        (vl-maybe-paramvalue-wildelim$inline x ctx-equiv warnings)))
 :rule-classes :congruence)

Theorem: vl-maybe-paramvalue-wildelim$inline-of-vl-warninglist-fix-warnings

(defthm
 vl-maybe-paramvalue-wildelim$inline-of-vl-warninglist-fix-warnings
 (equal (vl-maybe-paramvalue-wildelim$inline
             x ctx (vl-warninglist-fix warnings))
        (vl-maybe-paramvalue-wildelim$inline x ctx warnings)))

Theorem: vl-maybe-paramvalue-wildelim$inline-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-maybe-paramvalue-wildelim$inline-vl-warninglist-equiv-congruence-on-warnings
 (implies
   (vl-warninglist-equiv warnings warnings-equiv)
   (equal
        (vl-maybe-paramvalue-wildelim$inline x ctx warnings)
        (vl-maybe-paramvalue-wildelim$inline x ctx warnings-equiv)))
 :rule-classes :congruence)