orim12i - New Foundations Explorer

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Theorem orim12i 502

Description: Disjoin antecedents and consequents of two premises. (Contributed by NM, 6-Jun-1994.) (Proof shortened by Wolf Lammen, 25-Jul-2012.)

**Hypotheses**
Ref	Expression
orim12i.1
orim12i.2

**Assertion**
Ref	Expression
orim12i	$\/$ $\/$

**Proof of Theorem orim12i**
Step	Hyp	Ref	Expression
1		orim12i.1	. . 3
2	1	orcd 381	. 2 $\/$
3		orim12i.2	. . 3
4	3	olcd 382	. 2 $\/$
5	2, 4	jaoi 368	1 $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wi 4 $\/$ wo 357

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

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

This theorem is referenced by: orim1i 503 orim2i 504 prlem2 929 eueq3 3011 lefinlteq 4463 funcnvuni 5161 muc0or 6252 nchoicelem9 6297