Axiom Of Choice

We have the following indirect implication of form equivalence classes:

162 \(\Rightarrow\) 162 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
162 \(\Rightarrow\) 162

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

Howard-Rubin Number	Statement
162:	Non-existence of infinite units: There is no infinite cardinal number \(A\) such that \(A + A > A\) and for all cardinals \(x\) and \(y\), \(x + y = A\rightarrow x = A\) or \(y = A\).
162:	Non-existence of infinite units: There is no infinite cardinal number \(A\) such that \(A + A > A\) and for all cardinals \(x\) and \(y\), \(x + y = A\rightarrow x = A\) or \(y = A\).

Comment:

Back