Theorem syl3anl2 1277

Description: A syllogism inference. (Contributed by NM, 24-Feb-2005.)

Hypotheses

Ref	Expression
syl3anl2.1
syl3anl2.2

Assertion

Ref	Expression
syl3anl2

Proof of Theorem syl3anl2

Step	Hyp	Ref	Expression
1		syl3anl2.1	. . 3
2		syl3anl2.2	. . . 4
3	2	ex 434	. . 3
4	1, 3	syl3an2 1262	. 2
5	4	imp 429	1

Syntax hints:  ->wi 4  /\wa 369  /\w3a 973

This theorem is referenced by:  syl3anr2  1281  chfacfscmulcl  19358  chfacfscmulgsum  19361  chfacfpmmulcl  19362  chfacfpmmulgsum  19365  cpmadumatpolylem1  19382  cpmadumatpolylem2  19383  cpmadumatpoly  19384  chcoeffeqlem  19386  2atlt  35163

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