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This non-implication, Form 144 \( \not \Rightarrow \) Form 350, whose code is 6, is constructed around a proven non-implication as follows:

• This non-implication was constructed without the use of this first code 2/1 implication.
• A proven non-implication whose code is 5. In this case, it's Code 3: 414, Form 144 \( \not \Rightarrow \) Form 350 whose summary information is:
  

  Hypothesis	Statement
  Form 144	<p> Every set is almost well orderable. </p>

  
  

  Conclusion	Statement
  Form 350	<p> \(MC(\aleph_0,\aleph_0)\): For every denumerable set \(X\) of non-empty denumerable sets there is a function \(f\) such that for all \(x\in X\), \(f(x)\) is a finite, non-empty subset of \(x\). </p>

  
  
• This non-implication was constructed without the use of this last code 2/1 implication

The conclusion Form 144 \( \not \Rightarrow \) Form 350 then follows.

Finally, the
List of models where hypothesis is true and the conclusion is false:

Name	Statement
\(\cal N41\) Another variation of \(\cal N3\)	\(A=\bigcup\{B_n; n\in\omega\}\)is a disjoint union, where each \(B_n\) is denumerable and ordered like therationals by \(\le_n\)