Implications

We have the following indirect implication of form equivalence classes:

100 \(\Rightarrow\) 100
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
100 \(\Rightarrow\) 100 Communication sur les recherches de la th'eorie des ensembles, Lindenbaum, A. 1926, C. R. Soc. Sci. Lett. Varsovie

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

Howard-Rubin Number Statement
100:

Weak Partition Principle:  For all sets \(x\) and \(y\), if \(x\precsim^* y\), then it is not the case that \(y\prec x\).

100:

Weak Partition Principle:  For all sets \(x\) and \(y\), if \(x\precsim^* y\), then it is not the case that \(y\prec x\).

Comment:

Back