Hypothesis: HR 0:  \(0 = 0\).

Conclusion: HR 210:

The commutator subgroup of a free group is free.

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

Name Statement
\(\cal N30\) Läuchli's Model III The set \(A\) is denumerable; \(\cal G\) isthe group generated by the set of transpositions on \(A\); and \(S\) is theset of all finite subsets of \(A\)

Code: 3

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