Metamath Proof Explorer


Theorem pm3.2im

Description: Theorem *3.2 of WhiteheadRussell p. 111, expressed with primitive connectives (see pm3.2 ). (Contributed by NM, 29-Dec-1992) (Proof shortened by Josh Purinton, 29-Dec-2000)

Ref Expression
Assertion pm3.2im
|- ( ph -> ( ps -> -. ( ph -> -. ps ) ) )

Proof

Step Hyp Ref Expression
1 pm2.27
 |-  ( ph -> ( ( ph -> -. ps ) -> -. ps ) )
2 1 con2d
 |-  ( ph -> ( ps -> -. ( ph -> -. ps ) ) )