Statement:

Every infinite branching poset (a partially ordered set in which each element has at least two lower bounds) has either an infinite chain or an infinite antichain.

Howard_Rubin_Number: 388

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

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Herrlich-Keremedis-1999a: Products, the Baire category theorem, and the axiom of dependent choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 106,

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