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Theorem releqd 4583
 Description: Equality deduction for the relation predicate. (Contributed by NM, 8-Mar-2014.)
Hypothesis
Ref Expression
releqd.1
Assertion
Ref Expression
releqd

Proof of Theorem releqd
StepHypRef Expression
1 releqd.1 . 2
2 releq 4581 . 2
31, 2syl 14 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 104   wceq 1314   wrel 4504 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 1406  ax-7 1407  ax-gen 1408  ax-ie1 1452  ax-ie2 1453  ax-8 1465  ax-11 1467  ax-4 1470  ax-17 1489  ax-i9 1493  ax-ial 1497  ax-i5r 1498  ax-ext 2097 This theorem depends on definitions:  df-bi 116  df-nf 1420  df-sb 1719  df-clab 2102  df-cleq 2108  df-clel 2111  df-in 3043  df-ss 3050  df-rel 4506 This theorem is referenced by:  dftpos3  6113  tposfo2  6118  tposf12  6120  lmreltop  12205  cnprcl2k  12217
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