Theorem syl3an3br 1269

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

Hypotheses

Ref	Expression
syl3an3br.1
syl3an3br.2

Assertion

Ref	Expression
syl3an3br

Proof of Theorem syl3an3br

Step	Hyp	Ref	Expression
1		syl3an3br.1	. . 3
2	1	biimpri 206	. 2
3		syl3an3br.2	. 2
4	2, 3	syl3an3 1263	1

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

This theorem is referenced by:  ordintdif  4932  lsslinds  18866  2ndcdisj2  19958  isosctrlem2  23153  endofsegid  29735

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