Statement:
[14 P(\(n\))] with \(n = 2\): Let \(\{A(i): i\in I\}\) be a collection of sets such that \(\forall i\in I,\ |A(i)|\le 2\) and suppose \(R\) is a symmetric binary relation on \(\bigcup^{}_{i\in I} A(i)\) such that for all finite \(W\subseteq I\) there is an \(R\) consistent choice function for \(\{A(i): i \in W\}\). Then there is an \(R\) consistent choice function for \(\{A(i): i\in I\}\).
Howard_Rubin_Number: 141
Parameter(s): This form does not depend on parameters
This form's transferability is: Unknown
This form's negation transferability is: Negation Transferable
Article Citations:
Cowen-1977b: Generalizing Konigs infinity lemma
Book references
Note connections:
Note 109
Definitions for forms involving conditional choice and variations of Rado's lemma.