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Theorem filnetlem1 30619
 Description: Lemma for filnet 30623. 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 5851 . . . 4
21sseq2d 3472 . . 3
3 fveq2 5851 . . . 4
43sseq1d 3471 . . 3
52, 4sylan9bb 700 . 2
6 filnet.d . 2
75, 6brab2ga 4901 1
 Colors of variables: wff setvar class Syntax hints:   wb 186   wa 369   wceq 1407   wcel 1844  cvv 3061   wss 3416  csn 3974  ciun 4273   class class class wbr 4397  copab 4454   cxp 4823  cfv 5571  c1st 6784 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1641  ax-4 1654  ax-5 1727  ax-6 1773  ax-7 1816  ax-9 1848  ax-10 1863  ax-11 1868  ax-12 1880  ax-13 2028  ax-ext 2382  ax-sep 4519  ax-nul 4527  ax-pr 4632 This theorem depends on definitions:  df-bi 187  df-or 370  df-an 371  df-3an 978  df-tru 1410  df-ex 1636  df-nf 1640  df-sb 1766  df-eu 2244  df-mo 2245  df-clab 2390  df-cleq 2396  df-clel 2399  df-nfc 2554  df-ne 2602  df-ral 2761  df-rex 2762  df-rab 2765  df-v 3063  df-dif 3419  df-un 3421  df-in 3423  df-ss 3430  df-nul 3741  df-if 3888  df-sn 3975  df-pr 3977  df-op 3981  df-uni 4194  df-br 4398  df-opab 4456  df-xp 4831  df-iota 5535  df-fv 5579 This theorem is referenced by:  filnetlem2  30620  filnetlem3  30621  filnetlem4  30622
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