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 = 𝐴𝜑 )
Assertion vtocleOLD 𝜑

Proof

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