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Theorem predasetex 5382
 Description: The predecessor class exists when does. (Contributed by Scott Fenton, 8-Feb-2011.)
Hypothesis
Ref Expression
predasetex.1
Assertion
Ref Expression
predasetex

Proof of Theorem predasetex
StepHypRef Expression
1 df-pred 5367 . 2
2 predasetex.1 . . 3
32inex1 4535 . 2
41, 3eqeltri 2486 1
 Colors of variables: wff setvar class Syntax hints:   wcel 1842  cvv 3059   cin 3413  csn 3972  ccnv 4822  cima 4826  cpred 5366 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-10 1861  ax-11 1866  ax-12 1878  ax-13 2026  ax-ext 2380  ax-sep 4517 This theorem depends on definitions:  df-bi 185  df-an 369  df-tru 1408  df-ex 1634  df-nf 1638  df-sb 1764  df-clab 2388  df-cleq 2394  df-clel 2397  df-nfc 2552  df-v 3061  df-in 3421  df-pred 5367 This theorem is referenced by: (None)
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