Theorem uniexd

Description: Deduction version of the ZF Axiom of Union in class notation. (Contributed by Glauco Siliprandi, 26-Jun-2021)

	Ref	Expression
Hypothesis	uniexd.1	$$⊢\phi \to A\in V$$
Assertion	uniexd	$$⊢\phi \to \bigcup A\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		uniexd.1	$$⊢\phi \to A\in V$$
2		uniexg	$$⊢A\in V\to \bigcup A\in \mathrm{V}$$
3	1 2	syl	$$⊢\phi \to \bigcup A\in \mathrm{V}$$