Theorem olci 651

Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Revised by Mario Carneiro, 31-Jan-2015.)

Hypothesis

Ref	Expression
orci.1	|- ph

Assertion

Ref	Expression
olci	|- ( ps \/ ph )

Proof of Theorem olci

Step	Hyp	Ref	Expression
1		orci.1	. 2 |- ph
2		olc 632	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 7	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 629

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-io 630

This theorem depends on definitions:  df-bi 110

This theorem is referenced by:  falortru  1298  sucidg  4153  indpi  6440  1ap0  7581  iap0  8148  ex-or  9893