Theorem olci 722

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 701	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 698

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

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  falortru  1397  sucidg  4394  finexdc  6868  finomni  7104  indpi  7283  1ap0  8488  iap0  9080  pnf0xnn0  9184  bcn1  10671  sum0  11329  prod0  11526  odd2np1lem  11809  lcm0val  11997  ex-or  13603  dcapnconst  13939