Metamath Proof Explorer


Theorem 19.3vOLD

Description: Obsolete version of 19.3v as of 20-Oct-2023. (Contributed by Anthony Hart, 13-Sep-2011) Remove dependency on ax-7 . (Revised by Wolf Lammen, 4-Dec-2017) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion 19.3vOLD
|- ( A. x ph <-> ph )

Proof

Step Hyp Ref Expression
1 alex
 |-  ( A. x ph <-> -. E. x -. ph )
2 19.9v
 |-  ( E. x -. ph <-> -. ph )
3 2 con2bii
 |-  ( ph <-> -. E. x -. ph )
4 1 3 bitr4i
 |-  ( A. x ph <-> ph )