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Metamath Proof Explorer

Theorem vtocleOLD

Description: Obsolete version of vtocle as of 31-May-2025. (Contributed by NM, 9-Sep-1993) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	vtocle.1	$⊢ A \in V$
	vtocle.2	$⊢ x = A \to φ$
Assertion	vtocleOLD	$⊢ φ$

Proof

Step	Hyp	Ref	Expression
1		vtocle.1	$⊢ A \in V$
2		vtocle.2	$⊢ x = A \to φ$
3	2	vtocleg	$⊢ A \in V \to φ$
4	1 3	ax-mp	$⊢ φ$