Theorem exp41 593

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

Hypothesis

Ref	Expression
exp41.1	|- ((((ph /\ ps) /\ ch) /\ th) -> ta)

Assertion

Ref	Expression
exp41	|- (ph -> (ps -> (ch -> (th -> ta))))

Proof of Theorem exp41

Step	Hyp	Ref	Expression
1		exp41.1	. . 3 |- ((((ph /\ ps) /\ ch) /\ th) -> ta)
2	1	ex 423	. 2 |- (((ph /\ ps) /\ ch) -> (th -> ta))
3	2	exp31 587	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)