Theorem 3exp2 1169

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

Hypothesis

Ref	Expression
3exp2.1	|- ((ph /\ (ps /\ ch /\ th)) -> ta)

Assertion

Ref	Expression
3exp2	|- (ph -> (ps -> (ch -> (th -> ta))))

Proof of Theorem 3exp2

Step	Hyp	Ref	Expression
1		3exp2.1	. . 3 |- ((ph /\ (ps /\ ch /\ th)) -> ta)
2	1	ex 423	. 2 |- (ph -> ((ps /\ ch /\ th) -> ta))
3	2	3expd 1168	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:  3anassrs  1173  ralrimivvva  2707  sfinltfin  4535