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Metamath Proof Explorer

Theorem bnj1239

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

		Ref	Expression
	Assertion	bnj1239	$⊢ \exists x \in A (ψ \land χ) \to \exists x \in A ψ$

Step	Hyp	Ref	Expression
1		simpl	$⊢ (ψ \land χ) \to ψ$
2	1	reximi	$⊢ \exists x \in A (ψ \land χ) \to \exists x \in A ψ$