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 e. _V
vtocle.2
|- ( x = A -> ph )
Assertion vtocleOLD
|- ph

Proof

Step Hyp Ref Expression
1 vtocle.1
 |-  A e. _V
2 vtocle.2
 |-  ( x = A -> ph )
3 2 vtocleg
 |-  ( A e. _V -> ph )
4 1 3 ax-mp
 |-  ph