Theorem olci 728

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 707	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 704

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-io 705

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  falortru  1403  sucidg  4402  finexdc  6884  finomni  7120  indpi  7308  1ap0  8513  iap0  9105  pnf0xnn0  9209  bcn1  10696  sum0  11355  prod0  11552  odd2np1lem  11835  lcm0val  12023  ex-or  13842  dcapnconst  14177