Hypothesis: HR 163:

Every non-well-orderable set has an infinite, Dedekind finite subset.

Conclusion: HR 156:

Theorem of Gelfand and Kolmogoroff: Two compact \(T_2\) spaces are  homeomorphic if their rings of real valued continuous functions are isomorphic.

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

Name Statement

Code: 3

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