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• Sv::vl-expr.lisp

Vl-datatypelist-usertype-resolve

Signature

(vl-datatypelist-usertype-resolve x ss scopes) 
  → 
(mv err new-x)

Arguments

x — Guard (vl-datatypelist-p x).

ss — Guard (vl-scopestack-p ss).

scopes — Guard (vl-elabscopes-p scopes).

Returns

err — Type (iff (vl-msg-p err) err).

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

Definitions and Theorems

Function: vl-datatypelist-usertype-resolve

(defun vl-datatypelist-usertype-resolve (x ss scopes)
  (declare (xargs :guard (and (vl-datatypelist-p x)
                              (vl-scopestack-p ss)
                              (vl-elabscopes-p scopes))))
  (let ((__function__ 'vl-datatypelist-usertype-resolve))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv nil nil))
         ((mv err1 x1)
          (vl-datatype-usertype-resolve (car x)
                                        ss
                                        :scopes scopes))
         ((mv err2 x2)
          (vl-datatypelist-usertype-resolve (cdr x)
                                            ss scopes)))
      (mv (or err1 err2) (cons x1 x2)))))

Theorem: return-type-of-vl-datatypelist-usertype-resolve.err

(defthm return-type-of-vl-datatypelist-usertype-resolve.err
  (b* (((mv ?err ?new-x)
        (vl-datatypelist-usertype-resolve x ss scopes)))
    (iff (vl-msg-p err) err))
  :rule-classes :rewrite)

Theorem: vl-datatypelist-p-of-vl-datatypelist-usertype-resolve.new-x

(defthm vl-datatypelist-p-of-vl-datatypelist-usertype-resolve.new-x
  (b* (((mv ?err ?new-x)
        (vl-datatypelist-usertype-resolve x ss scopes)))
    (vl-datatypelist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-datatypelist-resolved-p-of-vl-datatypelist-usertype-resolve

(defthm
     vl-datatypelist-resolved-p-of-vl-datatypelist-usertype-resolve
  (b* (((mv ?err ?new-x)
        (vl-datatypelist-usertype-resolve x ss scopes)))
    (implies (not err)
             (vl-datatypelist-resolved-p new-x))))

Theorem: len-of-vl-datatypelist-usertype-resolve

(defthm len-of-vl-datatypelist-usertype-resolve
  (b* (((mv ?err ?new-x)
        (vl-datatypelist-usertype-resolve x ss scopes)))
    (equal (len new-x) (len x))))

Theorem: vl-datatypelist-usertype-resolve-of-vl-datatypelist-fix-x

(defthm vl-datatypelist-usertype-resolve-of-vl-datatypelist-fix-x
  (equal (vl-datatypelist-usertype-resolve (vl-datatypelist-fix x)
                                           ss scopes)
         (vl-datatypelist-usertype-resolve x ss scopes)))

Theorem: vl-datatypelist-usertype-resolve-vl-datatypelist-equiv-congruence-on-x

(defthm
 vl-datatypelist-usertype-resolve-vl-datatypelist-equiv-congruence-on-x
 (implies
      (vl-datatypelist-equiv x x-equiv)
      (equal (vl-datatypelist-usertype-resolve x ss scopes)
             (vl-datatypelist-usertype-resolve x-equiv ss scopes)))
 :rule-classes :congruence)

Theorem: vl-datatypelist-usertype-resolve-of-vl-scopestack-fix-ss

(defthm vl-datatypelist-usertype-resolve-of-vl-scopestack-fix-ss
  (equal (vl-datatypelist-usertype-resolve x (vl-scopestack-fix ss)
                                           scopes)
         (vl-datatypelist-usertype-resolve x ss scopes)))

Theorem: vl-datatypelist-usertype-resolve-vl-scopestack-equiv-congruence-on-ss

(defthm
 vl-datatypelist-usertype-resolve-vl-scopestack-equiv-congruence-on-ss
 (implies
      (vl-scopestack-equiv ss ss-equiv)
      (equal (vl-datatypelist-usertype-resolve x ss scopes)
             (vl-datatypelist-usertype-resolve x ss-equiv scopes)))
 :rule-classes :congruence)

Theorem: vl-datatypelist-usertype-resolve-of-vl-elabscopes-fix-scopes

(defthm vl-datatypelist-usertype-resolve-of-vl-elabscopes-fix-scopes
 (equal
  (vl-datatypelist-usertype-resolve x ss (vl-elabscopes-fix scopes))
  (vl-datatypelist-usertype-resolve x ss scopes)))

Theorem: vl-datatypelist-usertype-resolve-vl-elabscopes-equiv-congruence-on-scopes

(defthm
 vl-datatypelist-usertype-resolve-vl-elabscopes-equiv-congruence-on-scopes
 (implies
      (vl-elabscopes-equiv scopes scopes-equiv)
      (equal (vl-datatypelist-usertype-resolve x ss scopes)
             (vl-datatypelist-usertype-resolve x ss scopes-equiv)))
 :rule-classes :congruence)