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Metamath Proof Explorer

Theorem pm3.34

Description: Theorem *3.34 (Syll) of WhiteheadRussell p. 112. (Contributed by NM, 3-Jan-2005)

Ref Expression
Assertion pm3.34 
|- ( ( ( ps -> ch ) /\ ( ph -> ps ) ) -> ( ph -> ch ) )

Proof

Step Hyp Ref Expression
1 imim2 
 |-  ( ( ps -> ch ) -> ( ( ph -> ps ) -> ( ph -> ch ) ) )
2 1 imp 
 |-  ( ( ( ps -> ch ) /\ ( ph -> ps ) ) -> ( ph -> ch ) )