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WDPower set

Definition·D005

The set of all subsets of A.

where is subset.
In words
x belongs to the power set of A exactly when x is a subset of A.
Rests onno axioms yet
Never needed: F02 · F03 · F04 · F05 · F06 · F08 · F09 · F10 · F11 · F12 · F13 · F14 · A01 · A02 · A03 · A04 · A05 · A06 · A07 · A08 · A09 (computed from the citation graph, not asserted).

Remarks

The power set , the collection of all subsets of . Its existence for every set is guaranteed by the power set axiom A04.
Wikipedia ↗Set.powerset ↗

Used by

A04T03T21
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