Theorem exp4d 592

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	exp3a 425	. 2 |- (ph -> (ps -> ((ch /\ th) -> ta)))
3	2	exp4a 589	1 |- (ph -> (ps -> (ch -> (th -> ta))))

Syntax hints:   -> wi 4   /\ wa 358

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360

This theorem is referenced by: (None)