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Metamath Proof Explorer

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	$⊢ φ \to A \in V$
	Assertion	uniexd	$⊢ φ \to ⋃ A \in V$

Step	Hyp	Ref	Expression
1		uniexd.1	$⊢ φ \to A \in V$
2		uniexg	$⊢ A \in V \to ⋃ A \in V$
3	1 2	syl	$⊢ φ \to ⋃ A \in V$