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Theorem syl2anbr 466
Description: A double syllogism inference. (Contributed by NM, 29-Jul-1999.)
Hypotheses
Ref Expression
syl2anbr.1
syl2anbr.2
syl2anbr.3
Assertion
Ref Expression
syl2anbr

Proof of Theorem syl2anbr
StepHypRef Expression
1 syl2anbr.2 . 2
2 syl2anbr.1 . . 3
3 syl2anbr.3 . . 3
42, 3sylanbr 459 . 2
51, 4sylan2br 462 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358
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
This theorem is referenced by:  sylancbr  647  ov3  5599
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