Theorem imp44 579

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

Hypothesis

Ref	Expression
imp4.1	|- (ph -> (ps -> (ch -> (th -> ta))))

Assertion

Ref	Expression
imp44	|- ((ph /\ ((ps /\ ch) /\ th)) -> ta)

Proof of Theorem imp44

Step	Hyp	Ref	Expression
1		imp4.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta))))
2	1	imp4c 574	. 2 |- (ph -> (((ps /\ ch) /\ th) -> ta))
3	2	imp 418	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:  imp511  585