Form equivalence class Howard-Rubin Number: 1

Statement:

If \(x\) is a set of sets of cardinality at least 2, then there exists a function \(f\) such that for each \(u\in x\), \(f(u)\) is a finite, non-empty, proper subset of \(u\). (Form [1 BY] implies [62 E] (\(KW(\infty,<\aleph_0)\)) and Form 67 (MC) and Form 62 \(+\) Form 67 \(\to\) AC.)

Howard-Rubin number: 1 BY

Citations (articles): Blass [1979] Injectivity, projectivity and the axiom of choice

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