Form equivalence class Howard-Rubin Number: 106

Statement:

\(DMC\): Dependent Multiple Choice: Every tree in which every element has at least one immediate successor has a subtree whose levels are finite and in which every element has at least one immediate successor.

Howard-Rubin number: 106 A

Citations (articles): Blass [1979] Injectivity, projectivity and the axiom of choice
Brunner [1983c] Kategoriesatze und multiples Auswahlaxiom
Fossy/Morillon [1998] The Baire category property and some notions of compactness

Connections (notes): Note [21] Definitions for forms [10 F], [14 M], [14 N], [43 H], [106 A], Form 216, and Form 249.

References (books):

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