ninba - Metamath Proof Explorer

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

Theorem ninba 965

Description: Miscellaneous inference relating falsehoods. (Contributed by NM, 31-Mar-1994.)

**Hypothesis**
Ref	Expression
ninba.1

**Assertion**
Ref	Expression
ninba	$/\$

**Proof of Theorem ninba**
Step	Hyp	Ref	Expression
1		ninba.1	. . 3
2	1	niabn 964	. 2 $/\$
3	2	bicomd 213	1 $/\$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 196 $/\$ wa 384

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-an 386

This theorem is referenced by: (None)