Theorem exp4c 368

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 258	. 2 |- ( ph -> ( ( ps /\ ch ) -> ( th -> ta ) ) )
3	2	expd 258	1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Syntax hints:   -> wi 4   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 108

This theorem is referenced by:  leexp1a  10703  wrdsymb0  10984  lmodvsmmulgdi  13955