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Theorem eujustALT 2285
 Description: Alternate proof of eujust 2284 illustrating the use of dvelim 2079. (Contributed by NM, 11-Mar-2010.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
eujustALT
Distinct variable groups:   ,   ,   ,   ,

Proof of Theorem eujustALT
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 equequ2 1799 . . . . . 6
21bibi2d 318 . . . . 5
32albidv 1713 . . . 4
43sps 1865 . . 3
54drex1 2069 . 2
6 hbnae 2057 . . . . . 6
7 hbnae 2057 . . . . . 6
86, 7alrimih 1642 . . . . 5
9 ax-5 1704 . . . . . . . 8
10 equequ2 1799 . . . . . . . . . . 11
1110bibi2d 318 . . . . . . . . . 10
1211albidv 1713 . . . . . . . . 9
1312notbid 294 . . . . . . . 8
149, 13dvelim 2079 . . . . . . 7
1514naecoms 2053 . . . . . 6
16 ax-5 1704 . . . . . . 7
17 equequ2 1799 . . . . . . . . . 10
1817bibi2d 318 . . . . . . . . 9
1918albidv 1713 . . . . . . . 8
2019notbid 294 . . . . . . 7
2116, 20dvelim 2079 . . . . . 6
223notbid 294 . . . . . . 7
2322a1i 11 . . . . . 6
2415, 21, 23cbv2h 2019 . . . . 5
258, 24syl 16 . . . 4
2625notbid 294 . . 3
27 df-ex 1613 . . 3
28 df-ex 1613 . . 3
2926, 27, 283bitr4g 288 . 2
305, 29pm2.61i 164 1
 Colors of variables: wff setvar class Syntax hints:  -.wn 3  ->wi 4  <->wb 184  A.wal 1393  E.wex 1612 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-10 1837  ax-11 1842  ax-12 1854  ax-13 1999 This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617
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