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Metamath Proof Explorer

Theorem reldmoprab

Description: The domain of an operation class abstraction is a relation. (Contributed by NM, 17-Mar-1995)

		Ref	Expression
	Assertion	reldmoprab	$⊢ Rel dom \{⟨⟨x, y⟩, z⟩ \| φ\}$

Step	Hyp	Ref	Expression
1		dmoprab	$⊢ dom \{⟨⟨x, y⟩, z⟩ \| φ\} = \{⟨x, y⟩ \| \exists z φ\}$
2	1	relopabiv	$⊢ Rel dom \{⟨⟨x, y⟩, z⟩ \| φ\}$