Theorem 3imp1 1164

Description: Importation to left triple conjunction. (Contributed by NM, 24-Feb-2005.)

Hypothesis

Ref	Expression
3imp1.1	|- (ph -> (ps -> (ch -> (th -> ta))))

Assertion

Ref	Expression
3imp1	|- (((ph /\ ps /\ ch) /\ th) -> ta)

Proof of Theorem 3imp1

Step	Hyp	Ref	Expression
1		3imp1.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta))))
2	1	3imp 1145	. 2 |- ((ph /\ ps /\ ch) -> (th -> ta))
3	2	imp 418	1 |- (((ph /\ ps /\ ch) /\ th) -> ta)

Syntax hints:   -> wi 4   /\ wa 358   /\ w3a 934

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  df-3an 936

This theorem is referenced by:  reupick2  3542