Theorem olci 739

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 718	. 2 |- ( ph -> ( ps \/ ph ) )
3	1, 2	ax-mp 5	1 |- ( ps \/ ph )

Syntax hints:   \/ wo 715

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-io 716

This theorem depends on definitions:  df-bi 117

This theorem is referenced by:  falortru  1451  sucidg  4513  finexdc  7091  elssdc  7093  finomni  7338  indpi  7561  1ap0  8769  iap0  9366  pnf0xnn0  9471  bcn1  11019  sum0  11948  prod0  12145  odd2np1lem  12432  lcm0val  12636  usgrexmpldifpr  16099  ex-or  16318  dcapnconst  16665