pm3.2ni - New Foundations Explorer

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Theorem pm3.2ni 827

Description: Infer negated disjunction of negated premises. (Contributed by NM, 4-Apr-1995.)

**Hypotheses**
Ref	Expression
pm3.2ni.1
pm3.2ni.2

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

**Proof of Theorem pm3.2ni**
Step	Hyp	Ref	Expression
1		pm3.2ni.1	. 2
2		id 19	. . 3
3		pm3.2ni.2	. . . 4
4	3	pm2.21i 123	. . 3
5	2, 4	jaoi 368	. 2 $\/$
6	1, 5	mto 167	1 $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3 $\/$ wo 357

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 177 df-or 359

This theorem is referenced by: 2p1e3c 6157