Theorem syl3anl1 1276

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

Hypotheses

Ref	Expression
syl3anl1.1
syl3anl1.2

Assertion

Ref	Expression
syl3anl1

Proof of Theorem syl3anl1

Step	Hyp	Ref	Expression
1		syl3anl1.1	. . 3
2	1	3anim1i 1182	. 2
3		syl3anl1.2	. 2
4	2, 3	sylan 471	1

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

This theorem is referenced by:  suprzcl  10967  latjcom  15689  latmcom  15705  ring1zr  17923  lgsdinn0  23615  crngohomfo  30403  dalem53  35449

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