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:

9 \(\Rightarrow\) 217 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
9 \(\Rightarrow\) 217	clear

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

Howard-Rubin Number	Statement
9:	Finite \(\Leftrightarrow\) Dedekind finite: \(W_{\aleph_{0}}\) Jech [1973b]: \(E(I,IV)\) Howard/Yorke [1989]): Every Dedekind finite set is finite.
217:	Every infinite partially ordered set has either an infinite chain or an infinite antichain.

Comment: