Metamath Proof Explorer


Theorem pm2.18dOLD

Description: Obsolete version of pm2.18d as of 17-Nov-2023. (Contributed by FL, 12-Jul-2009) (Proof shortened by Andrew Salmon, 7-May-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis pm2.18dOLD.1
|- ( ph -> ( -. ps -> ps ) )
Assertion pm2.18dOLD
|- ( ph -> ps )

Proof

Step Hyp Ref Expression
1 pm2.18dOLD.1
 |-  ( ph -> ( -. ps -> ps ) )
2 pm2.18OLD
 |-  ( ( -. ps -> ps ) -> ps )
3 1 2 syl
 |-  ( ph -> ps )