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Metamath Proof Explorer

Theorem bnj219

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

		Ref	Expression
	Assertion	bnj219	$⊢ n = suc m \to m E n$

Step	Hyp	Ref	Expression
1		vex	$⊢ m \in V$
2	1	bnj216	$⊢ n = suc m \to m \in n$
3		epel	$⊢ m E n \leftrightarrow m \in n$
4	2 3	sylibr	$⊢ n = suc m \to m E n$