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Theorem sylancbr 647
Description: A syllogism inference combined with contraction. (Contributed by NM, 3-Sep-2004.)
Hypotheses
Ref Expression
sylancbr.1
sylancbr.2
sylancbr.3
Assertion
Ref Expression
sylancbr

Proof of Theorem sylancbr
StepHypRef Expression
1 sylancbr.1 . . 3
2 sylancbr.2 . . 3
3 sylancbr.3 . . 3
41, 2, 3syl2anbr 466 . 2
54anidms 626 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: (None)
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