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Theorem csbima12gALTOLD 36632
 Description: Move class substitution in and out of the image of a function. The proof is derived from the virtual deduction proof csbima12gALTVD 36708. (Contributed by Alan Sare, 10-Nov-2012.) Obsolete as of 20-Aug-2018. Use csbfv12 5883 instead. (Proof modification is discouraged.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
csbima12gALTOLD

Proof of Theorem csbima12gALTOLD
StepHypRef Expression
1 csbrngOLD 36631 . . 3
2 csbresgOLD 36630 . . . 4
32rneqd 5050 . . 3
41, 3eqtrd 2443 . 2
5 df-ima 4835 . . 3
65csbeq2i 3786 . 2
7 df-ima 4835 . 2
84, 6, 73eqtr4g 2468 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wceq 1405   wcel 1842  csb 3372   crn 4823   cres 4824  cima 4825 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-5 1725  ax-6 1771  ax-7 1814  ax-9 1846  ax-10 1861  ax-11 1866  ax-12 1878  ax-13 2026  ax-ext 2380  ax-sep 4516  ax-nul 4524  ax-pr 4629 This theorem depends on definitions:  df-bi 185  df-or 368  df-an 369  df-3an 976  df-tru 1408  df-ex 1634  df-nf 1638  df-sb 1764  df-eu 2242  df-mo 2243  df-clab 2388  df-cleq 2394  df-clel 2397  df-nfc 2552  df-ne 2600  df-rab 2762  df-v 3060  df-sbc 3277  df-csb 3373  df-dif 3416  df-un 3418  df-in 3420  df-ss 3427  df-nul 3738  df-if 3885  df-sn 3972  df-pr 3974  df-op 3978  df-br 4395  df-opab 4453  df-xp 4828  df-cnv 4830  df-dm 4832  df-rn 4833  df-res 4834  df-ima 4835 This theorem is referenced by: (None)
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