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Svarlist-indexed->named

Signature

(svarlist-indexed->named vars scope moddb) → newvars

Arguments

vars — Guard (svarlist-p vars).

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

newvars — Type (and (svarlist-p newvars) (svarlist-addr-p newvars)).

Definitions and Theorems

Function: svarlist-indexed->named

(defun svarlist-indexed->named (vars scope moddb)
 (declare (xargs :stobjs (moddb)))
 (declare (xargs :guard (and (svarlist-p vars)
                             (modscope-p scope)
                             (moddb-ok moddb))))
 (declare
  (xargs
      :guard
      (and (modscope-okp scope moddb)
           (svarlist-boundedp vars
                              (modscope-local-bound scope moddb)))))
 (let ((__function__ 'svarlist-indexed->named))
   (declare (ignorable __function__))
   (if (atom vars)
       nil
     (cons (svar-indexed->named (car vars)
                                scope moddb)
           (svarlist-indexed->named (cdr vars)
                                    scope moddb)))))

Theorem: return-type-of-svarlist-indexed->named

(defthm return-type-of-svarlist-indexed->named
  (b* ((newvars (svarlist-indexed->named vars scope moddb)))
    (and (svarlist-p newvars)
         (svarlist-addr-p newvars)))
  :rule-classes :rewrite)

Theorem: len-of-svarlist-indexed->named

(defthm len-of-svarlist-indexed->named
  (equal (len (svarlist-indexed->named vars scope moddb))
         (len vars)))

Theorem: svarlist-indexed->named-of-svarlist-fix-vars

(defthm svarlist-indexed->named-of-svarlist-fix-vars
  (equal (svarlist-indexed->named (svarlist-fix vars)
                                  scope moddb)
         (svarlist-indexed->named vars scope moddb)))

Theorem: svarlist-indexed->named-svarlist-equiv-congruence-on-vars

(defthm svarlist-indexed->named-svarlist-equiv-congruence-on-vars
  (implies (svarlist-equiv vars vars-equiv)
           (equal (svarlist-indexed->named vars scope moddb)
                  (svarlist-indexed->named vars-equiv scope moddb)))
  :rule-classes :congruence)

Theorem: svarlist-indexed->named-of-modscope-fix-scope

(defthm svarlist-indexed->named-of-modscope-fix-scope
  (equal (svarlist-indexed->named vars (modscope-fix scope)
                                  moddb)
         (svarlist-indexed->named vars scope moddb)))

Theorem: svarlist-indexed->named-modscope-equiv-congruence-on-scope

(defthm svarlist-indexed->named-modscope-equiv-congruence-on-scope
  (implies (modscope-equiv scope scope-equiv)
           (equal (svarlist-indexed->named vars scope moddb)
                  (svarlist-indexed->named vars scope-equiv moddb)))
  :rule-classes :congruence)

Theorem: svarlist-indexed->named-of-moddb-fix-moddb

(defthm svarlist-indexed->named-of-moddb-fix-moddb
  (equal (svarlist-indexed->named vars scope (moddb-fix moddb))
         (svarlist-indexed->named vars scope moddb)))

Theorem: svarlist-indexed->named-moddb-equiv-congruence-on-moddb

(defthm svarlist-indexed->named-moddb-equiv-congruence-on-moddb
  (implies (moddb-equiv moddb moddb-equiv)
           (equal (svarlist-indexed->named vars scope moddb)
                  (svarlist-indexed->named vars scope moddb-equiv)))
  :rule-classes :congruence)