Metamath Proof Explorer


Theorem imaexd

Description: The image of a set is a set. Deduction version of imaexg . (Contributed by Thierry Arnoux, 14-Feb-2025)

Ref Expression
Hypothesis rnexd.1
|- ( ph -> A e. V )
Assertion imaexd
|- ( ph -> ( A " B ) e. _V )

Proof

Step Hyp Ref Expression
1 rnexd.1
 |-  ( ph -> A e. V )
2 imaexg
 |-  ( A e. V -> ( A " B ) e. _V )
3 1 2 syl
 |-  ( ph -> ( A " B ) e. _V )