Metamath Proof Explorer

Theorem mptex

Description: If the domain of a function given by maps-to notation is a set, the function is a set. Inference version of mptexg . (Contributed by NM, 22-Apr-2005) (Revised by Mario Carneiro, 20-Dec-2013)

Ref Expression
Hypothesis mptex.1 A V
Assertion mptex x A B V


Step Hyp Ref Expression
1 mptex.1 A V
2 mptexg A V x A B V
3 1 2 ax-mp x A B V