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:

25 \(\Rightarrow\) 25 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
25 \(\Rightarrow\) 25	Independence results in set theory by Cohen's method II, Levy, A. 1963, Notices Amer. Math. Soc. All uncountable cardinals can be singular, Gitik, M. 1980, Israel J. Math.

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

Howard-Rubin Number	Statement
25:	\(\aleph _{\beta +1}\) is regular for all ordinals \(\beta\).
25:	\(\aleph _{\beta +1}\) is regular for all ordinals \(\beta\).

Comment: