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Moddb.lisp

Modalist-all-idxaddr-okp

Signature
(modalist-all-idxaddr-okp x moddb) → *
Arguments: x — Guard (modalist-p x).; moddb — Guard (moddb-ok moddb).

Definitions and Theorems

Function: modalist-all-idxaddr-okp

(defun modalist-all-idxaddr-okp (x moddb)
  (declare (xargs :stobjs (moddb)))
  (declare (xargs :guard (and (modalist-p x) (moddb-ok moddb))))
  (let ((__function__ 'modalist-all-idxaddr-okp))
    (declare (ignorable __function__))
    (b* ((x (modalist-fix x))
         ((when (atom x)) t)
         ((cons name mod) (car x))
         (modidx (moddb-modname-get-index name moddb))
         ((unless modidx)
          (and (svarlist-idxaddr-okp (module-vars mod)
                                     0)
               (modalist-all-idxaddr-okp (cdr x)
                                         moddb)))
         ((stobj-get totalwires)
          ((elab-mod (moddb->modsi modidx moddb)))
          (elab-mod->totalwires elab-mod)))
      (and (svarlist-idxaddr-okp (module-vars (cdar x))
                                 totalwires)
           (modalist-all-idxaddr-okp (cdr x)
                                     moddb)))))

Theorem: modalist-all-idxaddr-okp-of-modalist-fix-x

(defthm modalist-all-idxaddr-okp-of-modalist-fix-x
  (equal (modalist-all-idxaddr-okp (modalist-fix x)
                                   moddb)
         (modalist-all-idxaddr-okp x moddb)))

Theorem: modalist-all-idxaddr-okp-modalist-equiv-congruence-on-x

(defthm modalist-all-idxaddr-okp-modalist-equiv-congruence-on-x
  (implies (modalist-equiv x x-equiv)
           (equal (modalist-all-idxaddr-okp x moddb)
                  (modalist-all-idxaddr-okp x-equiv moddb)))
  :rule-classes :congruence)

Theorem: modalist-all-idxaddr-okp-of-moddb-fix-moddb

(defthm modalist-all-idxaddr-okp-of-moddb-fix-moddb
  (equal (modalist-all-idxaddr-okp x (moddb-fix moddb))
         (modalist-all-idxaddr-okp x moddb)))

Theorem: modalist-all-idxaddr-okp-moddb-equiv-congruence-on-moddb

(defthm modalist-all-idxaddr-okp-moddb-equiv-congruence-on-moddb
  (implies (moddb-equiv moddb moddb-equiv)
           (equal (modalist-all-idxaddr-okp x moddb)
                  (modalist-all-idxaddr-okp x moddb-equiv)))
  :rule-classes :congruence)