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Axiomatic Wiki

WDImage of a set under a function

Definition·D007

The image f[A] collects the values of f on members of A.

In words
y belongs to the image of A under f exactly when there is some x with x in A and y equal to the value f(x).
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 image of a set under a function , denoted or ; when is the whole domain this is the function's range. This is the object the replacement axiom A07 asserts is again a set.
Wikipedia ↗Set.image ↗

Used by

A07D015L24L25L37L61T17
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