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Theorem reseq12d 4788
 Description: Equality deduction for restrictions. (Contributed by NM, 21-Oct-2014.)
Hypotheses
Ref Expression
reseqd.1
reseqd.2
Assertion
Ref Expression
reseq12d

Proof of Theorem reseq12d
StepHypRef Expression
1 reseqd.1 . . 3
21reseq1d 4786 . 2
3 reseqd.2 . . 3
43reseq2d 4787 . 2
52, 4eqtrd 2148 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1314   cres 4509 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-io 681  ax-5 1406  ax-7 1407  ax-gen 1408  ax-ie1 1452  ax-ie2 1453  ax-8 1465  ax-10 1466  ax-11 1467  ax-i12 1468  ax-bndl 1469  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-tru 1317  df-nf 1420  df-sb 1719  df-clab 2102  df-cleq 2108  df-clel 2111  df-nfc 2245  df-v 2660  df-in 3045  df-opab 3958  df-xp 4513  df-res 4519 This theorem is referenced by:  tfrlem3ag  6172  tfrlem3a  6173  tfrlemi1  6195  tfr1onlem3ag  6200  setsvalg  11895  isxms  12526  isms  12528
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