Metamath Proof Explorer


Theorem rnexd

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

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

Proof

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