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Theorem reseq12d 4613
 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 4611 . 2
3 reseqd.2 . . 3
43reseq2d 4612 . 2
52, 4eqtrd 2072 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1243   cres 4347 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-v 2559  df-in 2924  df-opab 3819  df-xp 4351  df-res 4357 This theorem is referenced by:  tfrlem3ag  5924  tfrlem3a  5925  tfrlemi1  5946
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