Theorem 3imp231 1187

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

Hypothesis

Ref	Expression
3imp31.1	|- ( ph -> ( ps -> ( ch -> th ) ) )

Assertion

Ref	Expression
3imp231	|- ( ( ps /\ ch /\ ph ) -> th )

Proof of Theorem 3imp231

Step	Hyp	Ref	Expression
1		3imp31.1	. . 3 |- ( ph -> ( ps -> ( ch -> th ) ) )
2	1	com3l 81	. 2 |- ( ps -> ( ch -> ( ph -> th ) ) )
3	2	3imp 1183	1 |- ( ( ps /\ ch /\ ph ) -> th )

Syntax hints:   -> wi 4   /\ w3a 968

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106

This theorem depends on definitions:  df-bi 116  df-3an 970

This theorem is referenced by:  3imp21  1188