Metamath Proof Explorer

Theorem mptexd

Description: If the domain of a function given by maps-to notation is a set, the function is a set. Deduction version of mptexg . (Contributed by Glauco Siliprandi, 24-Dec-2020)

Ref Expression
Hypothesis mptexd.1 φ A V
Assertion mptexd φ x A B V


Step Hyp Ref Expression
1 mptexd.1 φ A V
2 mptexg A V x A B V
3 1 2 syl φ x A B V