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:

422-n $\Rightarrow$ 47-n given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
422-n $\Rightarrow$ 47-n	clear

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

Howard-Rubin Number	Statement
422-n:	$UT(WO,n,WO)$, $n\in \omega-\{0,1\}$: The union of a well ordered set of $n$ element sets can be well ordered.
47-n:	If $n\in\omega-\{0,1\}$, $C(WO,n)$: Every well ordered collection of $n$-element sets has a choice function.

Comment: