We have the following indirect implication of form equivalence classes:
Implication | Reference |
---|---|
49 \(\Rightarrow\) 201 |
The dependence of some logical axioms on disjoint transversals and linked systems, Schrijver, A. 1978, Colloq. Math. |
Here are the links and statements of the form equivalence classes referenced above:
Howard-Rubin Number | Statement |
---|---|
49: | Order Extension Principle: Every partial ordering can be extended to a linear ordering. Tarski [1924], p 78. |
201: | Linking Axiom for Boolean Algebras: Every Boolean algebra has a maximal linked system. (\(L\subseteq B\) is linked if \(a\wedge b\neq 0\) for all \(a\) and \(b \in L\).) |
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