Theorem olci 732

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 711	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 708

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-io 709

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  falortru  1407  sucidg  4418  finexdc  6904  finomni  7140  indpi  7343  1ap0  8549  iap0  9144  pnf0xnn0  9248  bcn1  10740  sum0  11398  prod0  11595  odd2np1lem  11879  lcm0val  12067  ex-or  14559  dcapnconst  14894