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Theorem syl6sseq 2991
 Description: A chained subclass and equality deduction. (Contributed by NM, 25-Apr-2004.)
Hypotheses
Ref Expression
syl6sseq.1
syl6sseq.2
Assertion
Ref Expression
syl6sseq

Proof of Theorem syl6sseq
StepHypRef Expression
1 syl6sseq.1 . 2
2 syl6sseq.2 . . 3
32sseq2i 2970 . 2
41, 3sylib 127 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1243   wss 2917 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-11 1397  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-in 2924  df-ss 2931 This theorem is referenced by:  syl6sseqr  2992  onintonm  4243  relrelss  4844  iotanul  4882  foimacnv  5144  cauappcvgprlemladdru  6754
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