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Theorem lnophmlem1 23555
Description: Lemma for lnophmi 23557. (Contributed by NM, 24-Jan-2006.) (New usage is discouraged.)
Hypotheses
Ref Expression
lnophmlem.1
lnophmlem.2
lnophmlem.3
lnophmlem.4
Assertion
Ref Expression
lnophmlem1
Distinct variable groups:   ,   ,   ,

Proof of Theorem lnophmlem1
StepHypRef Expression
1 lnophmlem.1 . 2
2 lnophmlem.4 . 2
3 id 21 . . . . 5
4 fveq2 5779 . . . . 5
53, 4oveq12d 6151 . . . 4
65eleq1d 2513 . . 3
76rspcv 3061 . 2
81, 2, 7mp2 9 1
Colors of variables: wff set class
Syntax hints:  =wceq 1654  e.wcel 1728  A.wral 2716  `cfv 5505  (class class class)co 6133   cr 9044   chil 22458   csp 22461   clo 22486
This theorem is referenced by:  lnophmlem2  23556
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1628  ax-9 1669  ax-8 1690  ax-6 1747  ax-7 1752  ax-11 1764  ax-12 1955  ax-ext 2428
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 1661  df-clab 2434  df-cleq 2440  df-clel 2443  df-nfc 2572  df-ral 2721  df-rex 2722  df-rab 2725  df-v 2971  df-dif 3316  df-un 3318  df-in 3320  df-ss 3327  df-nul 3621  df-if 3770  df-sn 3851  df-pr 3852  df-op 3854  df-uni 4048  df-br 4248  df-iota 5468  df-fv 5513  df-ov 6136
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