Metamath Proof Explorer


Theorem 3imp231

Description: Importation inference. (Contributed by Alan Sare, 17-Oct-2017)

Ref Expression
Hypothesis 3imp.1
|- ( ph -> ( ps -> ( ch -> th ) ) )
Assertion 3imp231
|- ( ( ps /\ ch /\ ph ) -> th )

Proof

Step Hyp Ref Expression
1 3imp.1
 |-  ( ph -> ( ps -> ( ch -> th ) ) )
2 1 com3l
 |-  ( ps -> ( ch -> ( ph -> th ) ) )
3 2 3imp
 |-  ( ( ps /\ ch /\ ph ) -> th )