Statement:
If \((P,\le)\) is a partial order such that \(P\) is the denumerable union of finite sets and all antichains in \(P\) are finite then for each denumerable family \({\cal D}\) of dense sets there is a \({\cal D}\) generic filter.
Howard_Rubin_Number: 171
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:
Shannon-1990: Provable forms of Martin's axiom
Book references
Note connections:
Note 47
Definitions from Shannon [1990]