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Theorem prtlem100 26706
 Description: Lemma for prter3 26733. (Contributed by Rodolfo Medina, 19-Oct-2010.)
Assertion
Ref Expression
prtlem100

Proof of Theorem prtlem100
StepHypRef Expression
1 anass 632 . . 3
2 eldifsn 3929 . . . 4
32anbi1i 678 . . 3
4 ne0i 3636 . . . . . . 7
54pm4.71ri 616 . . . . . 6
65anbi1i 678 . . . . 5
7 anass 632 . . . . 5
86, 7bitri 242 . . . 4
98anbi2i 677 . . 3
101, 3, 93bitr4ri 271 . 2
1110rexbii2 2736 1
 Colors of variables: wff set class Syntax hints:   wb 178   wa 360   wcel 1726   wne 2601  wrex 2708   cdif 3319  c0 3630  csn 3816 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-ne 2603  df-rex 2713  df-v 2960  df-dif 3325  df-nul 3631  df-sn 3822
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