A proof that it is not possible to demonstrate the non existence of an uncaused cause.

A demonstration is an argument proposed with propositions to arrive at a conclusion that is certain.
Propositions are statements that entail a truth value
If the truth value is certain, then knowledge of that truth is certain
To be certain of a truth means the truth is known without fear of error
But to be without fear of error means the truth is either directly observed, and then it is a fact, or it is derived from certain principles of reason.
If a conclusion is made in the negative concerning the existence of a cause ‘X’, then all events associated with that cause must be accounted for without that cause ‘X’.
If a cause ‘X’ is proposed to be a cause in all events, then the non existence of cause ‘X’ can only be demonstrated by a knowledge that is certain concerning all causes in any event.
As causes are either uncaused or caused, then when investigating causes in an event, knowledge of causation in an event entails both uncaused and caused causes.
If the cause is caused, then it is caused by another and so on
If the series of cause is circular, then each member lacks the same cause and no cause is possible
If the series is without end, then each member lacks the same cause and no cause is possible
Therefore every event requires that an uncaused cause existing to cause other, secondary causes to exist.
Therefore as every event requires an uncaused cause, it is not possible to comprehensively account for an event and arrive at a negative conclusion concerning the existence of an uncaused cause.
As the uncaused cause is not directly observed, then it is not a fact and as such it cannot be used in a sound demonstration to demonstrate its non existence.
As the uncaused cause is required to account for events, then a demonstration cannot be sound that contains a proposition that denies the existence of an uncaused cause.
Therefore a universal negative conclusion concerning the existence of an uncaused cause is not possible to demonstrate.
Therefore it is not possible to demonstrate the non existence of an uncaused cause
Therefore atheism is false.

The same can be said of the unmoved mover, unordered orderer, unperfected perfector and necessary being. As such atheism is false.