or32 - Metamath Proof Explorer

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Theorem or32 549

Description: A rearrangement of disjuncts. (Contributed by NM, 18-Oct-1995.) (Proof shortened by Andrew Salmon, 26-Jun-2011.)

**Assertion**
Ref	Expression
or32	$\/$ $\/$ $\/$ $\/$

**Proof of Theorem or32**
Step	Hyp	Ref	Expression
1		orass 546	. 2 $\/$ $\/$ $\/$ $\/$
2		or12 545	. 2 $\/$ $\/$ $\/$ $\/$
3		orcom 402	. 2 $\/$ $\/$ $\/$ $\/$
4	1, 2, 3	3bitri 286	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: sspsstri 3709 somo 5069 ordtri3OLD 5760 psslinpr 9853 xrnepnf 11952 xrinfmss 12140 tosso 17036 lineunray 32254 or32dd 33896