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Theorem ovelimab 6453
Description: Operation value in an image. (Contributed by Mario Carneiro, 23-Dec-2013.) (Revised by Mario Carneiro, 29-Jan-2014.)
Assertion
Ref Expression
ovelimab
Distinct variable groups:   , ,   , ,   , ,   , ,   , ,

Proof of Theorem ovelimab
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 fvelimab 5929 . 2
2 fveq2 5871 . . . . . 6
3 df-ov 6299 . . . . . 6
42, 3syl6eqr 2516 . . . . 5
54eqeq1d 2459 . . . 4
6 eqcom 2466 . . . 4
75, 6syl6bb 261 . . 3
87rexxp 5150 . 2
91, 8syl6bb 261 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  /\wa 369  =wceq 1395  e.wcel 1818  E.wrex 2808  C_wss 3475  <.cop 4035  X.cxp 5002  "cima 5007  Fnwfn 5588  `cfv 5593  (class class class)co 6296
This theorem is referenced by:  dfz2  10907  elq  11213  shsel  26232  ofrn2  27480  eulerpartlemgh  28317
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435  ax-sep 4573  ax-nul 4581  ax-pr 4691
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 975  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ne 2654  df-ral 2812  df-rex 2813  df-rab 2816  df-v 3111  df-sbc 3328  df-csb 3435  df-dif 3478  df-un 3480  df-in 3482  df-ss 3489  df-nul 3785  df-if 3942  df-sn 4030  df-pr 4032  df-op 4036  df-uni 4250  df-iun 4332  df-br 4453  df-opab 4511  df-id 4800  df-xp 5010  df-rel 5011  df-cnv 5012  df-co 5013  df-dm 5014  df-rn 5015  df-res 5016  df-ima 5017  df-iota 5556  df-fun 5595  df-fn 5596  df-fv 5601  df-ov 6299
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