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Vl-design-wildelim

Vl-paramargs-wildelim

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

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

Definitions and Theorems

Function: vl-paramargs-wildelim

(defun vl-paramargs-wildelim (x ctx warnings)
 (declare (xargs :guard (and (vl-paramargs-p x)
                             (vl-context-p ctx)
                             (vl-warninglist-p warnings))))
 (let ((__function__ 'vl-paramargs-wildelim))
  (declare (ignorable __function__))
  (b* ((x (vl-paramargs-fix x))
       (warnings (vl-warninglist-fix warnings)))
   (vl-paramargs-case
       x :vl-paramargs-named
       (b* (((mv warnings args)
             (vl-namedparamvaluelist-wildelim x.args ctx warnings)))
         (mv warnings
             (change-vl-paramargs-named x
                                        :args args)))
       :vl-paramargs-plain
       (b* (((mv warnings args)
             (vl-paramvaluelist-wildelim x.args ctx warnings)))
         (mv warnings
             (change-vl-paramargs-plain x
                                        :args args)))))))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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