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Theorem filnetlem1 26409
 Description: Lemma for filnet 26413. Change variables. (Contributed by Jeff Hankins, 13-Dec-2009.) (Revised by Mario Carneiro, 8-Aug-2015.)
Hypotheses
Ref Expression
filnet.h
filnet.d
filnetlem1.a
filnetlem1.b
Assertion
Ref Expression
filnetlem1
Distinct variable groups:   ,,   ,,,   ,,   ,,
Allowed substitution hints:   ()   ()   (,,)   ()

Proof of Theorem filnetlem1
StepHypRef Expression
1 fveq2 5730 . . . 4
21sseq2d 3378 . . 3
3 fveq2 5730 . . . 4
43sseq1d 3377 . . 3
52, 4sylan9bb 682 . 2
6 filnet.d . 2
75, 6brab2ga 4953 1
 Colors of variables: wff set class Syntax hints:   wb 178   wa 360   wceq 1653   wcel 1726  cvv 2958   wss 3322  csn 3816  ciun 4095   class class class wbr 4214  copab 4267   cxp 4878  cfv 5456  c1st 6349 This theorem is referenced by:  filnetlem2  26410  filnetlem3  26411  filnetlem4  26412 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-14 1730  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419  ax-sep 4332  ax-nul 4340  ax-pr 4405 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-eu 2287  df-mo 2288  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ne 2603  df-ral 2712  df-rex 2713  df-rab 2716  df-v 2960  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-sn 3822  df-pr 3823  df-op 3825  df-uni 4018  df-br 4215  df-opab 4269  df-xp 4886  df-iota 5420  df-fv 5464
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