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Theorem eqsstrrid 3144
 Description: B chained subclass and equality deduction. (Contributed by NM, 25-Apr-2004.)
Hypotheses
Ref Expression
eqsstrrid.1
eqsstrrid.2
Assertion
Ref Expression
eqsstrrid

Proof of Theorem eqsstrrid
StepHypRef Expression
1 eqsstrrid.1 . . 3
21eqcomi 2143 . 2
3 eqsstrrid.2 . 2
42, 3eqsstrid 3143 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1331   wss 3071 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-11 1484  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-in 3077  df-ss 3084 This theorem is referenced by:  abnexg  4367  relcnvtr  5058  resasplitss  5302  fimacnvdisj  5307  fimacnv  5549  f1ompt  5571  tfr1onlemres  6246  tfrcllemres  6259
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