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    • Expand.lisp

    Svtv-wires->lhses

    Signature
    (svtv-wires->lhses entries modidx moddb aliases) 
      → 
    (mv errs in-entries)
    Arguments
    entries — Guard (true-list-listp entries).
    modidx — Guard (natp modidx).
    moddb — Guard (moddb-ok moddb).
    Returns
    in-entries — Type (svtv-lines-p in-entries).

    Definitions and Theorems

    Function: svtv-wires->lhses

    (defun svtv-wires->lhses (entries modidx moddb aliases)
      (declare (xargs :stobjs (moddb aliases)))
      (declare (xargs :guard (and (true-list-listp entries)
                                  (natp modidx)
                                  (moddb-ok moddb))))
      (declare
           (xargs :guard (svtv-mod-alias-guard modidx moddb aliases)))
      (let ((__function__ 'svtv-wires->lhses))
        (declare (ignorable __function__))
        (b* (((when (atom entries)) (mv nil nil))
             (name (caar entries))
             ((mv errs lhs)
              (svtv-wire->lhs name modidx moddb aliases))
             (entrylist (llist-fix (cdar entries)))
             ((mv rest-errs rest)
              (svtv-wires->lhses (cdr entries)
                                 modidx moddb aliases))
             ((unless (svtv-entrylist-p entrylist))
              (mv (cons (msg "Bad inentrylist: ~x0" entrylist)
                        (append-without-guard errs rest-errs))
                  rest))
             (entry (make-svtv-line :lhs lhs
                                    :entries entrylist)))
          (mv (append-without-guard errs rest-errs)
              (cons entry rest)))))

    Theorem: svtv-lines-p-of-svtv-wires->lhses.in-entries

    (defthm svtv-lines-p-of-svtv-wires->lhses.in-entries
      (b* (((mv ?errs ?in-entries)
            (svtv-wires->lhses entries modidx moddb aliases)))
        (svtv-lines-p in-entries))
      :rule-classes :rewrite)

    Theorem: svtv-wires->lhses-of-true-list-list-fix-entries

    (defthm svtv-wires->lhses-of-true-list-list-fix-entries
      (equal (svtv-wires->lhses (true-list-list-fix entries)
                                modidx moddb aliases)
             (svtv-wires->lhses entries modidx moddb aliases)))

    Theorem: svtv-wires->lhses-true-list-list-equiv-congruence-on-entries

    (defthm svtv-wires->lhses-true-list-list-equiv-congruence-on-entries
     (implies
         (true-list-list-equiv entries entries-equiv)
         (equal (svtv-wires->lhses entries modidx moddb aliases)
                (svtv-wires->lhses entries-equiv modidx moddb aliases)))
     :rule-classes :congruence)

    Theorem: svtv-wires->lhses-of-nfix-modidx

    (defthm svtv-wires->lhses-of-nfix-modidx
      (equal (svtv-wires->lhses entries (nfix modidx)
                                moddb aliases)
             (svtv-wires->lhses entries modidx moddb aliases)))

    Theorem: svtv-wires->lhses-nat-equiv-congruence-on-modidx

    (defthm svtv-wires->lhses-nat-equiv-congruence-on-modidx
     (implies
         (nat-equiv modidx modidx-equiv)
         (equal (svtv-wires->lhses entries modidx moddb aliases)
                (svtv-wires->lhses entries modidx-equiv moddb aliases)))
     :rule-classes :congruence)

    Theorem: svtv-wires->lhses-of-moddb-fix-moddb

    (defthm svtv-wires->lhses-of-moddb-fix-moddb
      (equal (svtv-wires->lhses entries modidx (moddb-fix moddb)
                                aliases)
             (svtv-wires->lhses entries modidx moddb aliases)))

    Theorem: svtv-wires->lhses-moddb-equiv-congruence-on-moddb

    (defthm svtv-wires->lhses-moddb-equiv-congruence-on-moddb
     (implies
         (moddb-equiv moddb moddb-equiv)
         (equal (svtv-wires->lhses entries modidx moddb aliases)
                (svtv-wires->lhses entries modidx moddb-equiv aliases)))
     :rule-classes :congruence)

    Theorem: svtv-wires->lhses-of-lhslist-fix-aliases

    (defthm svtv-wires->lhses-of-lhslist-fix-aliases
      (equal (svtv-wires->lhses entries
                                modidx moddb (lhslist-fix aliases))
             (svtv-wires->lhses entries modidx moddb aliases)))

    Theorem: svtv-wires->lhses-lhslist-equiv-congruence-on-aliases

    (defthm svtv-wires->lhses-lhslist-equiv-congruence-on-aliases
     (implies
         (lhslist-equiv aliases aliases-equiv)
         (equal (svtv-wires->lhses entries modidx moddb aliases)
                (svtv-wires->lhses entries modidx moddb aliases-equiv)))
     :rule-classes :congruence)