Theorem 3anim3i 1139

Description: Add two conjuncts to antecedent and consequent. (Contributed by Jeff Hankins, 19-Aug-2009.)

Hypothesis

Ref	Expression
3animi.1	|- (ph -> ps)

Assertion

Ref	Expression
3anim3i	|- ((ch /\ th /\ ph) -> (ch /\ th /\ ps))

Proof of Theorem 3anim3i

Step	Hyp	Ref	Expression
1		id 19	. 2 |- (ch -> ch)
2		id 19	. 2 |- (th -> th)
3		3animi.1	. 2 |- (ph -> ps)
4	1, 2, 3	3anim123i 1137	1 |- ((ch /\ th /\ ph) -> (ch /\ th /\ ps))

Syntax hints:   -> wi 4   /\ 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:  syl3anl3  1232  syl3anr3  1236