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Theorem prtlem100 32493
 Description: Lemma for prter3 32518. (Contributed by Rodolfo Medina, 19-Oct-2010.)
Assertion
Ref Expression
prtlem100

Proof of Theorem prtlem100
StepHypRef Expression
1 anass 661 . . 3
2 eldifsn 4088 . . . 4
32anbi1i 709 . . 3
4 ne0i 3728 . . . . . . 7
54pm4.71ri 645 . . . . . 6
65anbi1i 709 . . . . 5
7 anass 661 . . . . 5
86, 7bitri 257 . . . 4
98anbi2i 708 . . 3
101, 3, 93bitr4ri 286 . 2
1110rexbii2 2879 1
 Colors of variables: wff setvar class Syntax hints:   wb 189   wa 376   wcel 1904   wne 2641  wrex 2757   cdif 3387  c0 3722  csn 3959 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1677  ax-4 1690  ax-5 1766  ax-6 1813  ax-7 1859  ax-10 1932  ax-11 1937  ax-12 1950  ax-13 2104  ax-ext 2451 This theorem depends on definitions:  df-bi 190  df-an 378  df-tru 1455  df-ex 1672  df-nf 1676  df-sb 1806  df-clab 2458  df-cleq 2464  df-clel 2467  df-nfc 2601  df-ne 2643  df-rex 2762  df-v 3033  df-dif 3393  df-nul 3723  df-sn 3960 This theorem is referenced by: (None)
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