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Definition·D007

Image of a set under a function

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 (computed from the citation graph, not asserted).

Remarks

The image (range) of a set under a function , denoted or . This is the object the replacement axiom A07 asserts is again a set.

Used by