Theorem olci 737

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 716	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 713

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-io 714

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  falortru  1449  sucidg  4511  finexdc  7085  elssdc  7087  finomni  7330  indpi  7552  1ap0  8760  iap0  9357  pnf0xnn0  9462  bcn1  11010  sum0  11939  prod0  12136  odd2np1lem  12423  lcm0val  12627  usgrexmpldifpr  16088  ex-or  16254  dcapnconst  16601