Definition:Immediate Predecessor Element/Also defined as
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Immediate Predecessor Element: Also defined as
Some sources define an immediate predecessor element only in the context of a total ordering.
However, the concept remains valid in the context of a general ordering.
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: $\S 1$ Introduction to well ordering: Discussion