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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 ∈ V
	vtocle.2	⊢ ( 𝑥 = 𝐴 → 𝜑 )
Assertion	vtocleOLD	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		vtocle.1	⊢ 𝐴 ∈ V
2		vtocle.2	⊢ ( 𝑥 = 𝐴 → 𝜑 )
3	2	vtocleg	⊢ ( 𝐴 ∈ V → 𝜑 )
4	1 3	ax-mp	⊢ 𝜑