We have the following indirect implication of form equivalence classes:

187 \(\Rightarrow\) 186
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
187 \(\Rightarrow\) 186 Set theory for the mathematician, Rubin, [1967]

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

Howard-Rubin Number Statement
187:

Every pair of cardinal numbers has a greatest lower bound (in the usual cardinal ordering.)

186:

Every pair of cardinal numbers has a least upper bound (in the usual cardinal ordering.)

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