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Aliases-indexed->named

Signature

(aliases-indexed->named aliases scope moddb) 
  → 
(mv new-aliases varmap)

Arguments

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

new-aliases — Type (equal (len new-aliases) (len aliases)).

varmap — Type (var-decl-map-p varmap).

Definitions and Theorems

Function: aliases-indexed->named

(defun aliases-indexed->named (aliases scope moddb)
 (declare (xargs :stobjs (aliases moddb)))
 (declare (xargs :guard (and (modscope-p scope)
                             (moddb-ok moddb))))
 (declare (xargs :guard (and (modscope-okp scope moddb)
                             (<= (aliass-length aliases)
                                 (modscope-local-bound scope moddb))
                             (aliases-normorderedp aliases))))
 (let ((__function__ 'aliases-indexed->named))
  (declare (ignorable __function__))
  (b*
   (((acl2::local-stobjs indnamememo)
     (mv aliases varmap indnamememo))
    (indnamememo (resize-indnames (aliass-length aliases)
                                  indnamememo))
    ((mv aliases indnamememo)
     (aliases-indexed->named-aux 0 aliases scope moddb indnamememo))
    (varmap (indnamememo-to-var-decl-map 0 indnamememo nil)))
   (mv aliases varmap indnamememo))))

Theorem: return-type-of-aliases-indexed->named.new-aliases

(defthm return-type-of-aliases-indexed->named.new-aliases
  (b* (((mv ?new-aliases ?varmap)
        (aliases-indexed->named aliases scope moddb)))
    (equal (len new-aliases) (len aliases)))
  :rule-classes :rewrite)

Theorem: var-decl-map-p-of-aliases-indexed->named.varmap

(defthm var-decl-map-p-of-aliases-indexed->named.varmap
  (b* (((mv ?new-aliases ?varmap)
        (aliases-indexed->named aliases scope moddb)))
    (var-decl-map-p varmap))
  :rule-classes :rewrite)

Theorem: vars-of-aliases-indexed->named

(defthm vars-of-aliases-indexed->named
  (b* (((mv ?new-aliases ?varmap)
        (aliases-indexed->named aliases scope moddb)))
    (implies (< (nfix m) (len aliases))
             (svarlist-addr-p (lhs-vars (nth m new-aliases))))))

Theorem: aliases-vars-of-aliases-indexed->named

(defthm aliases-vars-of-aliases-indexed->named
  (b* (((mv ?new-aliases ?varmap)
        (aliases-indexed->named aliases scope moddb)))
    (svarlist-addr-p (aliases-vars new-aliases))))

Theorem: aliases-indexed->named-of-lhslist-fix-aliases

(defthm aliases-indexed->named-of-lhslist-fix-aliases
  (equal (aliases-indexed->named (lhslist-fix aliases)
                                 scope moddb)
         (aliases-indexed->named aliases scope moddb)))

Theorem: aliases-indexed->named-lhslist-equiv-congruence-on-aliases

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

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

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

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

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

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

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

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

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