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Metamath Proof Explorer

Theorem pm3.35

Description: Conjunctive detachment. Theorem *3.35 of WhiteheadRussell p. 112. Variant of pm2.27 . (Contributed by NM, 14-Dec-2002)

Ref Expression
Assertion pm3.35 
|- ( ( ph /\ ( ph -> ps ) ) -> ps )

Proof

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