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Theorem syl3anl2 1231
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
StepHypRef Expression
1 syl3anl2.1 . . 3
2 syl3anl2.2 . . . 4
32ex 423 . . 3
41, 3syl3an2 1216 . 2
54imp 418 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   w3a 934
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 177  df-an 360  df-3an 936
This theorem is referenced by:  syl3anr2  1235
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