3pm3.2ni - Mathbox for Scott Fenton

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Theorem 3pm3.2ni 31594

Description: Triple negated disjunction introduction. (Contributed by Scott Fenton, 20-Apr-2011.)

**Assertion**
Ref	Expression
3pm3.2ni	$\/$ $\/$

**Proof of Theorem 3pm3.2ni**
Step	Hyp	Ref	Expression
1		3pm3.2ni.1	. . . 4
2		3pm3.2ni.2	. . . 4
3	1, 2	pm3.2ni 899	. . 3 $\/$
4		3pm3.2ni.3	. . 3
5	3, 4	pm3.2ni 899	. 2 $\/$ $\/$
6		df-3or 1038	. 2 $\/$ $\/$ $\/$ $\/$
7	5, 6	mtbir 313	1 $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3 $\/$ 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: sltsolem1 31826