Final answer:
The proof for the existence of God based on defined criteria is not achieved in the provided information.
Explanation:
The proof of God's existence is contingent upon a discrete definition, and here, the definition outlined lacks the clarity and specificity necessary for conclusive evidence. While omnipresence is commonly attributed to God, it remains an assumption within this framework rather than a proven characteristic. The criteria, termed as corollaries, suggest a set of basic attributes for an entity to be considered God.
However, these criteria, while attempting to define God, fall short of providing a definitive proof for the existence of such an entity. The absence of empirical or logical substantiation within the given definition leaves the proof incomplete.
To establish the existence of God, a more comprehensive, universally acceptable set of criteria or evidence derived from empirical observations, philosophical arguments, or empirical verifiability would be necessary.
In summary, the provided definition and criteria, while attempting to define characteristics attributed to God, do not offer conclusive proof of God's existence. Additional evidence or a more detailed, logically sound argumentation is needed to substantiate the claim of God's existence based on the defined parameters.