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Theorem olci 380

Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Proof shortened by Wolf Lammen, 14-Nov-2012.)

**Hypothesis**
Ref	Expression
orci.1

**Assertion**
Ref	Expression
olci	$\/$

**Proof of Theorem olci**
Step	Hyp	Ref	Expression
1		orci.1	. . 3
2	1	a1i 10	. 2
3	2	orri 365	1 $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3 $\/$ wo 357

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8

This theorem depends on definitions: df-bi 177 df-or 359

This theorem is referenced by: falortru 1342 ltcirr 6273