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Theorem syl6ci 65
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 25 . 2
4 syl6ci.3 . 2
51, 3, 4syl6c 64 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4
This theorem is referenced by:  ordelord  4905  f1dmex  6770  omeulem2  7251  2pwuninel  7692  isumrpcl  13655  kqfvima  20231  caubl  21746  frgrawopreglem2  25045  soseq  29334  btwnconn1lem12  29748  sbcim2g  33309  ee21an  33529
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
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