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Theorem syl3anl 1233
Description: A triple syllogism inference. (Contributed by NM, 24-Dec-2006.)
Hypotheses
Ref Expression
syl3anl.1
syl3anl.2
syl3anl.3
syl3anl.4
Assertion
Ref Expression
syl3anl

Proof of Theorem syl3anl
StepHypRef Expression
1 syl3anl.1 . . 3
2 syl3anl.2 . . 3
3 syl3anl.3 . . 3
41, 2, 33anim123i 1137 . 2
5 syl3anl.4 . 2
64, 5sylan 457 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: (None)
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