3orel2 - Mathbox for Scott Fenton

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Theorem 3orel2 31592

Description: Partial elimination of a triple disjunction by denial of a disjunct. (Contributed by Scott Fenton, 26-Mar-2011.) (Proof shortened by Andrew Salmon, 25-May-2011.)

**Assertion**
Ref	Expression
3orel2	$\/$ $\/$ $\/$

**Proof of Theorem 3orel2**
Step	Hyp	Ref	Expression
1		3orrot 1044	. 2 $\/$ $\/$ $\/$ $\/$
2		3orel1 1041	. . 3 $\/$ $\/$ $\/$
3		orcom 402	. . 3 $\/$ $\/$
4	2, 3	syl6ib 241	. 2 $\/$ $\/$ $\/$
5	1, 4	syl5bi 232	1 $\/$ $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $\/$ wo 383 $\/$ w3o 1036

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 df-3or 1038

This theorem is referenced by: nosep1o 31832 nosupbnd1lem5 31858

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