Theorem exp4d 367

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 256	. 2 |- ( ph -> ( ps -> ( ( ch /\ th ) -> ta ) ) )
3	2	exp4a 364	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-ia1 105  ax-ia2 106  ax-ia3 107

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  tfrlem9  6298  facdiv  10672  infpnlem1  12311