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Aliases-to-var-decl-map

Signature

(aliases-to-var-decl-map aliases scope moddb) → varmap

Arguments

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

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

Definitions and Theorems

Function: aliases-to-var-decl-map

(defun aliases-to-var-decl-map (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-to-var-decl-map))
   (declare (ignorable __function__))
   (b* (((acl2::local-stobjs indnamememo)
         (mv varmap indnamememo))
        (indnamememo (resize-indnames (aliass-length aliases)
                                      indnamememo))
        (indnamememo (aliases-to-var-decl-map-aux
                          0 aliases scope moddb indnamememo))
        (varmap (indnamememo-to-var-decl-map 0 indnamememo nil)))
     (mv varmap indnamememo))))

Theorem: var-decl-map-p-of-aliases-to-var-decl-map

(defthm var-decl-map-p-of-aliases-to-var-decl-map
  (b* ((varmap (aliases-to-var-decl-map aliases scope moddb)))
    (var-decl-map-p varmap))
  :rule-classes :rewrite)

Theorem: aliases-to-var-decl-map-of-lhslist-fix-aliases

(defthm aliases-to-var-decl-map-of-lhslist-fix-aliases
  (equal (aliases-to-var-decl-map (lhslist-fix aliases)
                                  scope moddb)
         (aliases-to-var-decl-map aliases scope moddb)))

Theorem: aliases-to-var-decl-map-lhslist-equiv-congruence-on-aliases

(defthm aliases-to-var-decl-map-lhslist-equiv-congruence-on-aliases
  (implies
       (lhslist-equiv aliases aliases-equiv)
       (equal (aliases-to-var-decl-map aliases scope moddb)
              (aliases-to-var-decl-map aliases-equiv scope moddb)))
  :rule-classes :congruence)

Theorem: aliases-to-var-decl-map-of-modscope-fix-scope

(defthm aliases-to-var-decl-map-of-modscope-fix-scope
  (equal (aliases-to-var-decl-map aliases (modscope-fix scope)
                                  moddb)
         (aliases-to-var-decl-map aliases scope moddb)))

Theorem: aliases-to-var-decl-map-modscope-equiv-congruence-on-scope

(defthm aliases-to-var-decl-map-modscope-equiv-congruence-on-scope
  (implies
       (modscope-equiv scope scope-equiv)
       (equal (aliases-to-var-decl-map aliases scope moddb)
              (aliases-to-var-decl-map aliases scope-equiv moddb)))
  :rule-classes :congruence)

Theorem: aliases-to-var-decl-map-of-moddb-fix-moddb

(defthm aliases-to-var-decl-map-of-moddb-fix-moddb
  (equal (aliases-to-var-decl-map aliases scope (moddb-fix moddb))
         (aliases-to-var-decl-map aliases scope moddb)))

Theorem: aliases-to-var-decl-map-moddb-equiv-congruence-on-moddb

(defthm aliases-to-var-decl-map-moddb-equiv-congruence-on-moddb
  (implies
       (moddb-equiv moddb moddb-equiv)
       (equal (aliases-to-var-decl-map aliases scope moddb)
              (aliases-to-var-decl-map aliases scope moddb-equiv)))
  :rule-classes :congruence)