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Metamath Proof Explorer

Theorem pm3.43

Description: Theorem *3.43 (Comp) of WhiteheadRussell p. 113. (Contributed by NM, 3-Jan-2005)

Ref Expression
Assertion pm3.43 
|- ( ( ( ph -> ps ) /\ ( ph -> ch ) ) -> ( ph -> ( ps /\ ch ) ) )

Proof

Step Hyp Ref Expression
1 pm3.43i 
 |-  ( ( ph -> ps ) -> ( ( ph -> ch ) -> ( ph -> ( ps /\ ch ) ) ) )
2 1 imp 
 |-  ( ( ( ph -> ps ) /\ ( ph -> ch ) ) -> ( ph -> ( ps /\ ch ) ) )