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Theorem eqsstrdi 3176
 Description: A chained subclass and equality deduction. (Contributed by Mario Carneiro, 2-Jan-2017.)
Hypotheses
Ref Expression
eqsstrdi.1
eqsstrdi.2
Assertion
Ref Expression
eqsstrdi

Proof of Theorem eqsstrdi
StepHypRef Expression
1 eqsstrdi.1 . 2
2 eqsstrdi.2 . . 3
32a1i 9 . 2
41, 3eqsstrd 3160 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1332   wss 3098 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 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-8 1481  ax-11 1483  ax-4 1487  ax-17 1503  ax-i9 1507  ax-ial 1511  ax-i5r 1512  ax-ext 2136 This theorem depends on definitions:  df-bi 116  df-nf 1438  df-sb 1740  df-clab 2141  df-cleq 2147  df-clel 2150  df-in 3104  df-ss 3111 This theorem is referenced by:  eqsstrrdi  3177  resasplitss  5342  fimacnv  5589  en2other2  7110  exmidfodomrlemim  7115  pw1on  7140  suplocexprlemex  7621  ennnfonelemkh  12092  toponsspwpwg  12359  ntrss2  12460  cnprcl2k  12545  reldvg  12987  bj-nntrans  13464  nninfsellemsuc  13525
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