Metamath Proof Explorer


Theorem simplim

Description: Simplification. Similar to Theorem *3.26 (Simp) of WhiteheadRussell p. 112. (Contributed by NM, 3-Jan-1993) (Proof shortened by Wolf Lammen, 21-Jul-2012)

Ref Expression
Assertion simplim
|- ( -. ( ph -> ps ) -> ph )

Proof

Step Hyp Ref Expression
1 pm2.21
 |-  ( -. ph -> ( ph -> ps ) )
2 1 con1i
 |-  ( -. ( ph -> ps ) -> ph )