Theorem exp4c 350

Description: An exportation inference. (Contributed by NM, 26-Apr-1994.)

Hypothesis

Ref	Expression
exp4c.1	|- ( ph -> ( ( ( ps /\ ch ) /\ th ) -> ta ) )

Assertion

Ref	Expression
exp4c	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Proof of Theorem exp4c

Step	Hyp	Ref	Expression
1		exp4c.1	. . 3 |- ( ph -> ( ( ( ps /\ ch ) /\ th ) -> ta ) )
2	1	expd 245	. 2 |- ( ph -> ( ( ps /\ ch ) -> ( th -> ta ) ) )
3	2	expd 245	1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Syntax hints:   -> wi 4   /\ wa 97

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 101

This theorem is referenced by:  leexp1a  9309