Metamath Proof Explorer

Theorem 2reu2rex1

Description: Double restricted existential uniqueness implies double restricted existence. (Contributed by Thierry Arnoux, 4-Jul-2023)

		Ref	Expression
	Assertion	2reu2rex1	$Math input error$

Step	Hyp	Ref	Expression
1		df-2reu	$Math input error$
2	1	simplbi	$Math input error$
3		reurex	$⊢ \exists! x \in A \exists y \in B φ \to \exists x \in A \exists y \in B φ$
4	2 3	syl	$Math input error$