Statement:

There is a cardinal number \(x\) and an \(n\in\omega\) such that \(\neg(x\) adj\(^n\, x^2)\). (The expression ``\(x\) adj\(^n\, ya\)" means there are cardinals \(z_0,\ldots, z_n\) such that \(z_0 = x\) and \(z_n = y\) and for all \(i,\ 0\le i < n,\ z_i< z_{i+1}\) and if  \(z_i < z\le z_{i+1}\), then \(z = z_{i+1}.)\) (Compare with [0 A]).

Howard_Rubin_Number: 274

Parameter(s): This form does not depend on parameters

This form's transferability is: Unknown

This form's negation transferability is: Unknown

Article Citations:
Truss-1974b: Models of set theory containing many perfect sets

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 1,

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