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Theorem breqi 4645
Description: Equality inference for binary relations. (Contributed by NM, 19-Feb-2005.)
Hypothesis
Ref Expression
breqi.1
Assertion
Ref Expression
breqi

Proof of Theorem breqi
StepHypRef Expression
1 breqi.1 . 2
2 breq 4641 . 2
31, 2ax-mp 8 1
Colors of variables: wff setvar class
Syntax hints:   wb 176   wceq 1642   class class class wbr 4639
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-cleq 2346  df-clel 2349  df-br 4640
This theorem is referenced by:  brres  4949  trtxp  5781  brtxp  5783  brimage  5793  qrpprod  5836  brpprod  5839  fnfullfunlem1  5856  ersymtr  5932  porta  5933  sopc  5934  weds  5938  brltc  6114  nchoicelem8  6296  nchoicelem19  6307
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