Theorem syl3an2br 1268

Description: A syllogism inference. (Contributed by NM, 22-Aug-1995.)

Hypotheses

Ref	Expression
syl3an2br.1
syl3an2br.2

Assertion

Ref	Expression
syl3an2br

Proof of Theorem syl3an2br

Step	Hyp	Ref	Expression
1		syl3an2br.1	. . 3
2	1	biimpri 206	. 2
3		syl3an2br.2	. 2
4	2, 3	syl3an2 1262	1

Syntax hints:  ->wi 4  <->wb 184  /\w3a 973

This theorem is referenced by:  igenval  30458

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-3an 975