Revit gives the user a number of ways to override the display of 
an element.  It may not always be clear which method “wins” over another
 method, but there is a visibility hierarchy.  This list may not cover 
every possible scenario but does include common overrides. 
10 being the lowest and 1 being the highest using walls as an example:
1. Line Work Tool
2. Override Graphics in View > By Element > Halftone
3. Graphic Display Options – Silhouette Edges
4. Override Graphics in View > By Element
5. View Filters
6. View Depth – “Beyond” Line Style
7. Phasing Graphic Overrides
8. Visibility / Graphic Overrides > Override Host Layers > Cut Line Styles
9. Visibility / Graphic Overrides > Projection \ Cut Lines
10. Project Object Styles
Here is a graphical example using walls:
Another example to this:
- There is a Visibility/Graphic Override for the wall category in the view
 
- The wall has an override by element
 
- The view uses a phase graphic override
 
- There is a view filter applied overriding the graphics of walls over a specific thickness
 
When all 4 of these overrides are in place, by default the Override 
Graphics in View > By Element is visible since it is highest up the 
chain at #4:

Remove that override and I now see my view filter:

Remove the view filter and I see the phasing graphic override:

And lastly, change the phase filter of the view and I will see my Visibility/Graphic Override:
