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Theorem syl6eqssr 3078
 Description: A chained subclass and equality deduction. (Contributed by Mario Carneiro, 2-Jan-2017.)
Hypotheses
Ref Expression
syl6eqssr.1
syl6eqssr.2
Assertion
Ref Expression
syl6eqssr

Proof of Theorem syl6eqssr
StepHypRef Expression
1 syl6eqssr.1 . . 3
21eqcomd 2094 . 2
3 syl6eqssr.2 . 2
42, 3syl6eqss 3077 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1290   wss 3000 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1382  ax-7 1383  ax-gen 1384  ax-ie1 1428  ax-ie2 1429  ax-8 1441  ax-11 1443  ax-4 1446  ax-17 1465  ax-i9 1469  ax-ial 1473  ax-i5r 1474  ax-ext 2071 This theorem depends on definitions:  df-bi 116  df-nf 1396  df-sb 1694  df-clab 2076  df-cleq 2082  df-clel 2085  df-in 3006  df-ss 3013 This theorem is referenced by:  ffvresb  5475  tposss  6025  sbthlemi5  6724  iooval2  9394  telfsumo  10921  structcnvcnv  11571
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