Hypothesis: HR 0:  \(0 = 0\).

Conclusion: HR 220-p:

Suppose \(p\in\omega\) and \(p\) is a prime. Any two elementary Abelian \(p\)-groups (all non-trivial elements have order \(p\)) of the same cardinality are isomorphic.

List of models where hypothesis is true and the conclusion is false:

Name Statement
\(\cal N42(p)\) Hickman's Model IV This model is an extension of \(\cal N32\)
\(\cal N45(p)\) Howard/Rubin Model III Let \(p\) be a prime

Code: 3

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