Theorem an42s 800

Description: Inference rearranging 4 conjuncts in antecedent. (Contributed by NM, 10-Aug-1995.)

Hypothesis

Ref	Expression
an41r3s.1	|- (((ph /\ ps) /\ (ch /\ th)) -> ta)

Assertion

Ref	Expression
an42s	|- (((ph /\ ch) /\ (th /\ ps)) -> ta)

Proof of Theorem an42s

Step	Hyp	Ref	Expression
1		an41r3s.1	. . 3 |- (((ph /\ ps) /\ (ch /\ th)) -> ta)
2	1	an4s 799	. 2 |- (((ph /\ ch) /\ (ps /\ th)) -> ta)
3	2	ancom2s 777	1 |- (((ph /\ ch) /\ (th /\ ps)) -> 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: (None)