or12 - Metamath Proof Explorer

	Metamath Proof Explorer		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > or12		Structured version Visualization version Unicode version

Theorem or12 545

Description: Swap two disjuncts. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 14-Nov-2012.)

**Assertion**
Ref	Expression
or12	$\/$ $\/$ $\/$ $\/$

**Proof of Theorem or12**
Step	Hyp	Ref	Expression
1		pm1.5 544	. 2 $\/$ $\/$ $\/$ $\/$
2		pm1.5 544	. 2 $\/$ $\/$ $\/$ $\/$
3	1, 2	impbii 199	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: orass 546 or32 549 or4 550 3orcoma 1046 sotrieq 5062 ordzsl 7045 plydivex 24052 nosepon 31818