Implications

We have the following indirect implication of form equivalence classes:

7 \(\Rightarrow\) 7
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
7 \(\Rightarrow\) 7 Die Entwickelung der Lehre von den Punktmannichfaltigkeiten. Zweiten Teil, Schoenflies, A. 1908, Jber. Deutsch. Math.

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
7:

There is no infinite decreasing sequence of cardinals.

7:

There is no infinite decreasing sequence of cardinals.

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