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Theorem syl2ani 637
Description: A syllogism inference. (Contributed by NM, 3-Aug-1999.)
Hypotheses
Ref Expression
syl2ani.1
syl2ani.2
syl2ani.3
Assertion
Ref Expression
syl2ani

Proof of Theorem syl2ani
StepHypRef Expression
1 syl2ani.1 . 2
2 syl2ani.2 . . 3
3 syl2ani.3 . . 3
42, 3sylan2i 636 . 2
51, 4sylani 635 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   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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