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:

60 \(\Rightarrow\) 45-n given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
60 \(\Rightarrow\) 45-n	clear

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

Howard-Rubin Number	Statement
60:	\(C(\infty,WO)\): Every set of non-empty, well orderable sets has a choice function. Moore, G. [1982], p 125.
45-n:	If \(n\in\omega-\{0,1\}\), \(C(\infty,n)\): Every set of \(n\)-element sets has a choice function.

Comment: