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Theorem or4 550

Description: Rearrangement of 4 disjuncts. (Contributed by NM, 12-Aug-1994.)

**Assertion**
Ref	Expression
or4	$\/$ $\/$ $\/$ $\/$ $\/$ $\/$

**Proof of Theorem or4**
Step	Hyp	Ref	Expression
1		or12 545	. . 3 $\/$ $\/$ $\/$ $\/$
2	1	orbi2i 541	. 2 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
3		orass 546	. 2 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
4		orass 546	. 2 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
5	2, 3, 4	3bitr4i 292	1 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wb 196 $\/$ wo 383

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 197 df-or 385

This theorem is referenced by: or42 551 orordi 552 orordir 553 3or6 1410 swoer 7772 xmullem2 12095 clsk1indlem3 38341