Definition:Strictly Progressing Mapping/Definition 2

Definition

Let $g$ be a class mapping.

$g$ is a strictly progressing mapping if and only if:

$g$ is a progressing mapping which has no fixed point.

Also see

• Equivalence of Definitions of Strictly Progressing Mappings

• Results about strictly progressing mappings can be found here.

Sources

• 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $4$: Superinduction, Well Ordering and Choice: Part $\text I$ -- Superinduction and Well Ordering: $\S 2$ Superinduction and double superinduction