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Theorem fnebas 26344
 Description: A finer cover covers the same set as the original. (Contributed by Jeff Hankins, 28-Sep-2009.)
Hypotheses
Ref Expression
fnebas.1
fnebas.2
Assertion
Ref Expression
fnebas

Proof of Theorem fnebas
StepHypRef Expression
1 fnebas.1 . . 3
2 fnebas.2 . . 3
31, 2isfne4 26340 . 2
43simplbi 447 1
 Colors of variables: wff set class Syntax hints:   wi 4   wceq 1652   wss 3312  cuni 4007   class class class wbr 4204  cfv 5446  ctg 13657  cfne 26330 This theorem is referenced by:  fnetr  26357  fnessref  26364  fnemeet2  26387  fnejoin2  26389 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-13 1727  ax-14 1729  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416  ax-sep 4322  ax-nul 4330  ax-pow 4369  ax-pr 4395  ax-un 4693 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-eu 2284  df-mo 2285  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-ne 2600  df-ral 2702  df-rex 2703  df-rab 2706  df-v 2950  df-sbc 3154  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-pw 3793  df-sn 3812  df-pr 3813  df-op 3815  df-uni 4008  df-br 4205  df-opab 4259  df-mpt 4260  df-id 4490  df-xp 4876  df-rel 4877  df-cnv 4878  df-co 4879  df-dm 4880  df-iota 5410  df-fun 5448  df-fv 5454  df-topgen 13659  df-fne 26334
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