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Metamath Proof Explorer

Theorem exsimpr

Description: Simplification of an existentially quantified conjunction. (Contributed by Rodolfo Medina, 25-Sep-2010) (Proof shortened by Andrew Salmon, 29-Jun-2011)

		Ref	Expression
	Assertion	exsimpr	$⊢ \exists x (φ \land ψ) \to \exists x ψ$

Proof

Step	Hyp	Ref	Expression
1		simpr	$⊢ (φ \land ψ) \to ψ$
2	1	eximi	$⊢ \exists x (φ \land ψ) \to \exists x ψ$