Theorem olci 721

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 700	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 697

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-io 698

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  falortru  1385  sucidg  4338  finexdc  6796  finomni  7012  indpi  7150  1ap0  8352  iap0  8943  pnf0xnn0  9047  bcn1  10504  sum0  11157  odd2np1lem  11569  lcm0val  11746  ex-or  12934