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Svar-indexed->named

Signature

(svar-indexed->named var scope moddb) → newvar

Arguments

var — Guard (svar-p var).

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

newvar — Type (and (svar-p newvar) (svar-addr-p newvar)).

Definitions and Theorems

Function: svar-indexed->named

(defun
 svar-indexed->named (var scope moddb)
 (declare (xargs :stobjs (moddb)))
 (declare (xargs :guard (and (svar-p var)
                             (modscope-p scope)
                             (moddb-ok moddb))))
 (declare
  (xargs
   :guard (and (modscope-okp scope moddb)
               (svar-boundedp var
                              (modscope-local-bound scope moddb)))))
 (let ((__function__ 'svar-indexed->named))
      (declare (ignorable __function__))
      (b* ((idx (svar-index var))
           (name (moddb-wireidx->path idx (modscope->modidx scope)
                                      moddb))
           (addr (make-address :path name)))
          (address->svar addr))))

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

(defthm return-type-of-svar-indexed->named
        (b* ((newvar (svar-indexed->named var scope moddb)))
            (and (svar-p newvar)
                 (svar-addr-p newvar)))
        :rule-classes :rewrite)

Theorem: svar-indexed->named-of-svar-fix-var

(defthm svar-indexed->named-of-svar-fix-var
        (equal (svar-indexed->named (svar-fix var)
                                    scope moddb)
               (svar-indexed->named var scope moddb)))

Theorem: svar-indexed->named-svar-equiv-congruence-on-var

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

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

(defthm svar-indexed->named-of-modscope-fix-scope
        (equal (svar-indexed->named var (modscope-fix scope)
                                    moddb)
               (svar-indexed->named var scope moddb)))

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

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

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

(defthm svar-indexed->named-of-moddb-fix-moddb
        (equal (svar-indexed->named var scope (moddb-fix moddb))
               (svar-indexed->named var scope moddb)))

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

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