Form equivalence class Howard-Rubin Number: 218

Statement:

For all primes \(p\), \(MC(\infty,\infty,\) relatively prime to \(p), \forall p, MC4(p)\): For every set \(X\) of non-empty sets there is a function \(f\) with domain \(X\) such that \(\forall u \in X\), \(f(u)\) is a finite non-empty subset of \(u\) such that \(|f(u)|\) and \(p\) are relatively prime. See Form 218, Rubin, H/Rubin, J. [1985], p.124.

Howard-Rubin number: 218 B

Citations (articles): Bleicher [1964] Some theorems on vector spaces and the axiom of choice

Connections (notes): Note [161]

[218 B] implies Form 218


References (books): Book: Equivalents of the Axiom of Choice II, Rubin-Rubin, [1985]

Back