Metamath Proof Explorer

Theorem impr

Description: Import a wff into a right conjunct. (Contributed by Jeff Hankins, 30-Aug-2009)

Ref Expression
Hypothesis impr.1 
|- ( ( ph /\ ps ) -> ( ch -> th ) )
Assertion impr 
|- ( ( ph /\ ( ps /\ ch ) ) -> th )

Proof

Step Hyp Ref Expression
1 impr.1 
 |-  ( ( ph /\ ps ) -> ( ch -> th ) )
2 1 ex 
 |-  ( ph -> ( ps -> ( ch -> th ) ) )
3 2 imp32 
 |-  ( ( ph /\ ( ps /\ ch ) ) -> th )