Theorem exp44 371

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

Hypothesis

Ref	Expression
exp44.1	|- ( ( ph /\ ( ( ps /\ ch ) /\ th ) ) -> ta )

Assertion

Ref	Expression
exp44	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Proof of Theorem exp44

Step	Hyp	Ref	Expression
1		exp44.1	. . 3 |- ( ( ph /\ ( ( ps /\ ch ) /\ th ) ) -> ta )
2	1	exp32 363	. 2 |- ( ph -> ( ( ps /\ ch ) -> ( th -> ta ) ) )
3	2	expd 256	1 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Syntax hints:   -> wi 4   /\ wa 103

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 107

This theorem is referenced by: (None)