Theorem imp41 576

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

Hypothesis

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

Assertion

Ref	Expression
imp41	|- ((((ph /\ ps) /\ ch) /\ th) -> ta)

Proof of Theorem imp41

Step	Hyp	Ref	Expression
1		imp4.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta))))
2	1	imp 418	. 2 |- ((ph /\ ps) -> (ch -> (th -> ta)))
3	2	imp31 421	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:  3anassrs  1173  ralrimivvva  2708