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Svar-register-indnamememo

Signature

(svar-register-indnamememo x scope moddb indnamememo) 
  → 
indnamememo1

Arguments

x — Guard (svar-p x).

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

indnamememo1 — Type (equal (len indnamememo1) (len indnamememo)).

Definitions and Theorems

Function: svar-register-indnamememo

(defun svar-register-indnamememo (x scope moddb indnamememo)
 (declare (xargs :stobjs (moddb indnamememo)))
 (declare (xargs :guard (and (svar-p x)
                             (modscope-p scope)
                             (moddb-ok moddb))))
 (declare
   (xargs
        :guard
        (and (modscope-okp scope moddb)
             (svar-boundedp x (modscope-local-bound scope moddb)))))
 (let ((__function__ 'svar-register-indnamememo))
   (declare (ignorable __function__))
   (b* ((idx (lnfix (svar-index x)))
        (in-bounds (< idx (indnames-length indnamememo)))
        (look (and in-bounds
                   (get-indname idx indnamememo)))
        ((when look) indnamememo)
        ((mv ?name wire)
         (moddb-wireidx->path/decl idx (modscope->modidx scope)
                                   moddb)))
     (if in-bounds (set-indname idx
                                (make-indname-result :varname x
                                                     :decl wire)
                                indnamememo)
       indnamememo))))

Theorem: return-type-of-svar-register-indnamememo

(defthm return-type-of-svar-register-indnamememo
  (b* ((indnamememo1
            (svar-register-indnamememo x scope moddb indnamememo)))
    (equal (len indnamememo1)
           (len indnamememo)))
  :rule-classes :rewrite)

Theorem: svar-register-indnamememo-of-svar-fix-x

(defthm svar-register-indnamememo-of-svar-fix-x
  (equal (svar-register-indnamememo (svar-fix x)
                                    scope moddb indnamememo)
         (svar-register-indnamememo x scope moddb indnamememo)))

Theorem: svar-register-indnamememo-svar-equiv-congruence-on-x

(defthm svar-register-indnamememo-svar-equiv-congruence-on-x
 (implies
  (svar-equiv x x-equiv)
  (equal
       (svar-register-indnamememo x scope moddb indnamememo)
       (svar-register-indnamememo x-equiv scope moddb indnamememo)))
 :rule-classes :congruence)

Theorem: svar-register-indnamememo-of-modscope-fix-scope

(defthm svar-register-indnamememo-of-modscope-fix-scope
  (equal (svar-register-indnamememo x (modscope-fix scope)
                                    moddb indnamememo)
         (svar-register-indnamememo x scope moddb indnamememo)))

Theorem: svar-register-indnamememo-modscope-equiv-congruence-on-scope

(defthm svar-register-indnamememo-modscope-equiv-congruence-on-scope
 (implies
  (modscope-equiv scope scope-equiv)
  (equal
       (svar-register-indnamememo x scope moddb indnamememo)
       (svar-register-indnamememo x scope-equiv moddb indnamememo)))
 :rule-classes :congruence)

Theorem: svar-register-indnamememo-of-moddb-fix-moddb

(defthm svar-register-indnamememo-of-moddb-fix-moddb
  (equal (svar-register-indnamememo x scope (moddb-fix moddb)
                                    indnamememo)
         (svar-register-indnamememo x scope moddb indnamememo)))

Theorem: svar-register-indnamememo-moddb-equiv-congruence-on-moddb

(defthm svar-register-indnamememo-moddb-equiv-congruence-on-moddb
 (implies
  (moddb-equiv moddb moddb-equiv)
  (equal
       (svar-register-indnamememo x scope moddb indnamememo)
       (svar-register-indnamememo x scope moddb-equiv indnamememo)))
 :rule-classes :congruence)