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Theorem syl6ci 1331
Description: A syllogism inference combined with contraction. (Contributed by Alan Sare, 18-Mar-2012.)
Hypotheses
Ref Expression
syl6ci.1
syl6ci.2
syl6ci.3
Assertion
Ref Expression
syl6ci

Proof of Theorem syl6ci
StepHypRef Expression
1 syl6ci.1 . 2
2 syl6ci.2 . . 3
32a1d 22 . 2
4 syl6ci.3 . 2
51, 3, 4syl6c 60 1
Colors of variables: wff set class
Syntax hints:   wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  ltxrlt  6882  ltnsym  6901
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