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