Implications

• Implications Home
• Code 1 Implications
• Code 2 Implications
• Code 3 Implications
• Code 4 Implications
• Code 5 Implications
• Code 6 Implications
• Complete List
• Search

We have the following indirect implication of form equivalence classes:

40 \(\Rightarrow\) 208 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
40 \(\Rightarrow\) 208	note-69

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

Howard-Rubin Number	Statement
40:	\(C(WO,\infty)\):  Every well orderable set of non-empty sets has a choice function. Moore, G. [1982], p 325.
208:	For all ordinals \(\alpha\), \(\aleph_{\alpha+1}\le 2^{\aleph_\alpha}\).

Comment: