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March 29, 2010 / porton

Erroneous theorem became a conjecture

I mistakenly used yet unproved statement that \mathrm{up}\,f (taken on the filtrator of funcoids) is a filter for every funcoid f in proof of a theorem. So after I found this error I downgrade this theorem to the status of conjecture:

Conjecture (\mathsf{FCD}) (\mathsf{RLD})_{\mathrm{out}} f = f for every funcoid f.

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