Theorem 3mix2i 1160

Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)

Hypothesis

Ref	Expression
3mixi.1	|- ph

Assertion

Ref	Expression
3mix2i	|- ( ps \/ ph \/ ch )

Proof of Theorem 3mix2i

Step	Hyp	Ref	Expression
1		3mixi.1	. 2 |- ph
2		3mix2 1157	. 2 |- ( ph -> ( ps \/ ph \/ ch ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph \/ ch )

Syntax hints:   \/ w3o 967

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699

This theorem depends on definitions:  df-bi 116  df-3or 969

This theorem is referenced by:  tpid2  3689  tpid2g  3690