Theorem orci 720

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
orci	|- ( ph \/ ps )

Proof of Theorem orci

Step	Hyp	Ref	Expression
1		orci.1	. 2 |- ph
2		orc 701	. 2 |- ( ph -> ( ph \/ ps ) )
3	1, 2	ax-mp 5	1 |- ( ph \/ ps )

Syntax hints:   \/ wo 697

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

This theorem depends on definitions:  df-bi 116

This theorem is referenced by:  truorfal  1384  prid1g  3627  onsucelsucexmidlem1  4443  regexmidlemm  4447  nn0suc  4518  nndceq0  4531  0elnn  4532  acexmidlem2  5771  exmidaclem  7064  indpi  7150  sup3exmid  8715  nn1gt1  8754  nneoor  9153  mnfltpnf  9571  bcpasc  10512