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Theorem syldd 66
Description: Nested syllogism deduction. (Contributed by NM, 12-Dec-2004.) (Proof shortened by Wolf Lammen, 11-May-2013.)
Hypotheses
Ref Expression
syldd.1
syldd.2
Assertion
Ref Expression
syldd

Proof of Theorem syldd
StepHypRef Expression
1 syldd.2 . 2
2 syldd.1 . 2
3 imim2 53 . 2
41, 2, 3syl6c 64 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4
This theorem is referenced by:  syl5d  67  syl6d  69  syl10  73  tfinds  6694  tz7.49  7129  dffi2  7903  ordiso2  7961  rankuni2b  8292  brbtwn2  24208  soseq  29334  prtlem60  30582  lvoli2  35305
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
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