Hypothesis: HR 277:

\(E(D,VII)\): Every non-well-orderable cardinal is decomposable.

Conclusion: HR 106:

Baire Category Theorem for Compact Hausdorff Spaces: Every compact Hausdorff space is Baire.

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

Name Statement
\(\cal M1\) Cohen's original model Add a denumerable number of generic reals (subsets of \(\omega\)), \(a_1\), \(a_2\), \(\cdots\), along with the set \(b\) containing them

Code: 3

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