Theorem nanbi1 1354

Description: Introduce a right anti-conjunct to both sides of a logical equivalence. (Contributed by SF, 2-Jan-2018.)

Assertion

Ref	Expression
nanbi1

Proof of Theorem nanbi1

Step	Hyp	Ref	Expression
1		anbi1 706	. . 3
2	1	notbid 294	. 2
3		df-nan 1344	. 2
4		df-nan 1344	. 2
5	2, 3, 4	3bitr4g 288	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184  /\wa 369  -/\wnan 1343

This theorem is referenced by:  nanbi2  1355  nanbi12  1356  nanbi1i  1357  nanbi1d  1360  nabi1  29855

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 185  df-an 371  df-nan 1344