Theorem olci 686

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 667	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 7	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 664

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-io 665

This theorem depends on definitions:  df-bi 115

This theorem is referenced by:  falortru  1343  sucidg  4243  finexdc  6618  finomni  6796  indpi  6901  1ap0  8067  iap0  8639  pnf0xnn0  8743  bcn1  10166  sum0  10780  odd2np1lem  11150  lcm0val  11325  ex-or  11649