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Metamath Proof Explorer

Theorem bnj519

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Revised by Mario Carneiro, 6-May-2015) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	bnj519.1	$⊢ A \in V$
	Assertion	bnj519	$⊢ B \in V \to Fun \{⟨A, B⟩\}$

Proof

Step	Hyp	Ref	Expression
1		bnj519.1	$⊢ A \in V$
2		funsng	$⊢ (A \in V \land B \in V) \to Fun \{⟨A, B⟩\}$
3	1 2	mpan	$⊢ B \in V \to Fun \{⟨A, B⟩\}$