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:

231 \(\Rightarrow\) 18 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
231 \(\Rightarrow\) 18	clear

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

Howard-Rubin Number	Statement
231:	\(UT(WO,WO,WO)\): The union of a well ordered collection of well orderable sets is well orderable.
18:	\(PUT(\aleph_{0},2,\aleph_{0})\):  The union of a denumerable family of pairwise disjoint pairs has a denumerable subset.

Comment: