Metamath Proof Explorer


Theorem sb4vOLD

Description: Obsolete as of 30-Jul-2023. Use sb6 instead. (Contributed by BJ, 23-Jun-2019) (Proof shortened by Steven Nguyen, 8-Jul-2023) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion sb4vOLD
|- ( [ y / x ] ph -> A. x ( x = y -> ph ) )

Proof

Step Hyp Ref Expression
1 sb6
 |-  ( [ y / x ] ph <-> A. x ( x = y -> ph ) )
2 1 biimpi
 |-  ( [ y / x ] ph -> A. x ( x = y -> ph ) )