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• Compile.lisp

Lhs-indexed->named

Signature

(lhs-indexed->named x scope moddb indnamememo) 
  → 
(mv xx indnamememo1)

Arguments

x — Guard (lhs-p x).

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

xx — Type (and (lhs-p xx) (svarlist-addr-p (lhs-vars xx))).

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

Definitions and Theorems

Function: lhs-indexed->named

(defun lhs-indexed->named (x scope moddb indnamememo)
 (declare (xargs :stobjs (moddb indnamememo)))
 (declare (xargs :guard (and (lhs-p x)
                             (modscope-p scope)
                             (moddb-ok moddb))))
 (declare
  (xargs
      :guard
      (and (modscope-okp scope moddb)
           (svarlist-boundedp (lhs-vars x)
                              (modscope-local-bound scope moddb)))))
 (let ((__function__ 'lhs-indexed->named))
  (declare (ignorable __function__))
  (b*
   (((mv first rest) (lhs-decomp x))
    ((unless first) (mv nil indnamememo))
    ((lhrange first) first)
    ((mv repl indnamememo)
     (lhatom-case
          first.atom :z (mv first indnamememo)
          :var
          (b* (((mv name indnamememo)
                (svar-indexed->named-memo first.atom.name
                                          scope moddb indnamememo)))
            (mv (lhrange first.w
                         (lhatom-var name first.atom.rsh))
                indnamememo))))
    ((mv rest indnamememo)
     (lhs-indexed->named rest scope moddb indnamememo)))
   (mv (lhs-cons repl rest) indnamememo))))

Theorem: return-type-of-lhs-indexed->named.xx

(defthm return-type-of-lhs-indexed->named.xx
  (b* (((mv ?xx ?indnamememo1)
        (lhs-indexed->named x scope moddb indnamememo)))
    (and (lhs-p xx)
         (svarlist-addr-p (lhs-vars xx))))
  :rule-classes :rewrite)

Theorem: return-type-of-lhs-indexed->named.indnamememo1

(defthm return-type-of-lhs-indexed->named.indnamememo1
  (b* (((mv ?xx ?indnamememo1)
        (lhs-indexed->named x scope moddb indnamememo)))
    (equal (len indnamememo1)
           (len indnamememo)))
  :rule-classes :rewrite)

Theorem: lhs-indexed->named-of-lhs-fix-x

(defthm lhs-indexed->named-of-lhs-fix-x
  (equal (lhs-indexed->named (lhs-fix x)
                             scope moddb indnamememo)
         (lhs-indexed->named x scope moddb indnamememo)))

Theorem: lhs-indexed->named-lhs-equiv-congruence-on-x

(defthm lhs-indexed->named-lhs-equiv-congruence-on-x
  (implies
       (lhs-equiv x x-equiv)
       (equal (lhs-indexed->named x scope moddb indnamememo)
              (lhs-indexed->named x-equiv scope moddb indnamememo)))
  :rule-classes :congruence)

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

(defthm lhs-indexed->named-of-modscope-fix-scope
  (equal (lhs-indexed->named x (modscope-fix scope)
                             moddb indnamememo)
         (lhs-indexed->named x scope moddb indnamememo)))

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

(defthm lhs-indexed->named-modscope-equiv-congruence-on-scope
  (implies
       (modscope-equiv scope scope-equiv)
       (equal (lhs-indexed->named x scope moddb indnamememo)
              (lhs-indexed->named x scope-equiv moddb indnamememo)))
  :rule-classes :congruence)

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

(defthm lhs-indexed->named-of-moddb-fix-moddb
  (equal (lhs-indexed->named x scope (moddb-fix moddb)
                             indnamememo)
         (lhs-indexed->named x scope moddb indnamememo)))

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

(defthm lhs-indexed->named-moddb-equiv-congruence-on-moddb
  (implies
       (moddb-equiv moddb moddb-equiv)
       (equal (lhs-indexed->named x scope moddb indnamememo)
              (lhs-indexed->named x scope moddb-equiv indnamememo)))
  :rule-classes :congruence)