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https://issues.apache.org/jira/browse/TINKERPOP-1384?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
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Marko A. Rodriguez closed TINKERPOP-1384.
-----------------------------------------
       Resolution: Fixed
    Fix Version/s: 3.2.4
                   3.3.0

Yes, you are correct. Thank you.

> Description of filter function in traversal documentation
> ---------------------------------------------------------
>
>                 Key: TINKERPOP-1384
>                 URL: https://issues.apache.org/jira/browse/TINKERPOP-1384
>             Project: TinkerPop
>          Issue Type: Bug
>          Components: documentation
>            Reporter: Keith Lohnes
>            Assignee: Marko A. Rodriguez
>            Priority: Minor
>             Fix For: 3.3.0, 3.2.4
>
>
> In http://tinkerpop.apache.org/docs/current/reference/#traversal
> I noticed the images there describe the filter step as S →  S ∪ Ø which 
> doesn't make sense to me since S = S ∪ Ø 
> It should be
> S →  E ⊆ S 
> since a filter yields a subset (though not necessarily a proper subset) of S



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