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Theorem syl10 73
Description: A nested syllogism inference. (Contributed by Alan Sare, 17-Jul-2011.)
Hypotheses
Ref Expression
syl10.1
syl10.2
syl10.3
Assertion
Ref Expression
syl10

Proof of Theorem syl10
StepHypRef Expression
1 syl10.2 . 2
2 syl10.1 . . 3
3 syl10.3 . . 3
42, 3syl6 33 . 2
51, 4syldd 66 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4
This theorem is referenced by:  tz7.49  7129  rspsbc2  33305  tratrb  33307
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
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