Theorem syl2ani 656

Description: A syllogism inference. (Contributed by NM, 3-Aug-1999.)

Hypotheses

Ref	Expression
syl2ani.1
syl2ani.2
syl2ani.3

Assertion

Ref	Expression
syl2ani

Proof of Theorem syl2ani

Step	Hyp	Ref	Expression
1		syl2ani.1	. 2
2		syl2ani.2	. . 3
3		syl2ani.3	. . 3
4	2, 3	sylan2i 655	. 2
5	1, 4	sylani 654	1

Syntax hints:  ->wi 4  /\wa 369

This theorem is referenced by:  2mo  2373  frxp  6910  mapen  7701  fin1a2lem9  8809  psss  15844  mgmidmo  15886  aannenlem1  22724  funtransport  29681  cgrxfr  29705  btwnxfr  29706  bj-cbv3tb  34271

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