Theorem 3imp2 1166

Description: Importation to right triple conjunction. (Contributed by NM, 26-Oct-2006.)

Hypothesis

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

Assertion

Ref	Expression
3imp2	|- ((ph /\ (ps /\ ch /\ th)) -> ta)

Proof of Theorem 3imp2

Step	Hyp	Ref	Expression
1		3imp1.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta))))
2	1	3impd 1165	. 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: (None)