How can I check if all boundaries of a polygon coincides with one or more of a set of

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I have a polygon shapefile, and theoretically, all features in the shape are bounded by the union of some lines in another shapefile. Is there any way to confirm if this is true?

I'm using QGis, FME and PostGIS, but don't know tools for doing it in any of this softwares. I've tried to use FME's SpatialRelator, but couldn't find a check that assesses this situation.



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