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 ) ) ) )

This proof depends on syntax axioms:   -> wi 4   /\ wa 104

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 108

This theorem is used by:  leexp1a  11033  wrdsymb0  11339  lmodvsmmulgdi  14662  assamulgscm  15045