Form equivalence class Howard-Rubin Number: 317

Statement:

If \(B\) is a complete, well orderable Boolean algebra and \(A\) is a Boolean algebra of which \(B\) is a subalgebra, then there is an ideal \(I\) of \(A\) satisfying \(I\cap B=\{0\}\) and \(I\) is maximal among those ideals \(J\) of \(A\) satisfying \(J \cap B = \{0\}\).

Howard-Rubin number: 317 A

Citations (articles): Howard [1973] Limitations on the Fraenkel-Mostowski method of independence proofs

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