Non-
prefix
1. Not doing; not involved with: (I.e. nonaggression)
2. Not of the kind or class described: (I.e. nonbeliever)
•also forming nouns used attributively(such as "nonunion")
3. Not of the importance implied: (I.e. nonissue)
4. [u]A lack of: (I.e. nonsense)[/u]
Using the fourth possibly usage of the prefix, it would imply a lack of existence.
English
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How can you distinguish what is non existent if you cannot distinguish what is existent? Being existent is, as you say, being proven, but how is that proof existent if the observer themselves is supposedly non existent?