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:

368 \(\Rightarrow\) 170 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
368 \(\Rightarrow\) 170	On well-ordered subsets of any set, Tarski, A. 1939, Fund. Math.

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

Howard-Rubin Number	Statement
368:	The set of all denumerable subsets of \(\Bbb R\) has power \(2^{\aleph_0}\).
170:	\(\aleph_{1}\le 2^{\aleph_{0}}\).

Comment: