Theorem 3mix2 1125

Description: Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)

Assertion

Ref	Expression
3mix2	|- (ph -> (ps \/ ph \/ ch))

Proof of Theorem 3mix2

Step	Hyp	Ref	Expression
1		3mix1 1124	. 2 |- (ph -> (ph \/ ch \/ ps))
2		3orrot 940	. 2 |- ((ps \/ ph \/ ch) <-> (ph \/ ch \/ ps))
3	1, 2	sylibr 203	1 |- (ph -> (ps \/ ph \/ ch))

Syntax hints:   -> wi 4   \/ w3o 933

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-or 359  df-3or 935

This theorem is referenced by:  3mix2i  1128  3jaob  1244  ltfintri  4466