Theorem exp4d 369

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

Hypothesis

Ref	Expression
exp4d.1	|- ( ph -> ( ( ps /\ ( ch /\ th ) ) -> ta ) )

Assertion

Ref	Expression
exp4d	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Proof of Theorem exp4d

Step	Hyp	Ref	Expression
1		exp4d.1	. . 3 |- ( ph -> ( ( ps /\ ( ch /\ th ) ) -> ta ) )
2	1	expd 258	. 2 |- ( ph -> ( ps -> ( ( ch /\ th ) -> ta ) ) )
3	2	exp4a 366	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-ia1 106  ax-ia2 107  ax-ia3 108

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  tfrlem9  6386  facdiv  10847  infpnlem1  12553