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Theorem compneOLD 27746
 Description: Obsolete proof of compne 27745 as of 28-Jun-2015. (Contributed by Andrew Salmon, 15-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
compneOLD

Proof of Theorem compneOLD
Dummy variables are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 pm5.19 349 . . . . 5
2 sp 1728 . . . . . 6
3 df-clab 2283 . . . . . . . 8
4 df-clab 2283 . . . . . . . 8
53, 4bibi12i 306 . . . . . . 7
6 sbn 2015 . . . . . . . 8
76bibi1i 305 . . . . . . 7
8 bicom 191 . . . . . . 7
95, 7, 83bitri 262 . . . . . 6
102, 9sylib 188 . . . . 5
111, 10mto 167 . . . 4
12 dfcleq 2290 . . . 4
1311, 12mtbir 290 . . 3
14 compeq 27744 . . . . 5
1514eqcomi 2300 . . . 4
16 abid2 2413 . . . 4
1715, 16eqeq12i 2309 . . 3
1813, 17mtbi 289 . 2
19 df-ne 2461 . 2
2018, 19mpbir 200 1
 Colors of variables: wff set class Syntax hints:   wn 3   wb 176  wal 1530   wceq 1632  wsb 1638   wcel 1696  cab 2282   wne 2459  cvv 2801   cdif 3162 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-6 1715  ax-7 1720  ax-11 1727  ax-12 1878  ax-ext 2277 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1310  df-ex 1532  df-nf 1535  df-sb 1639  df-clab 2283  df-cleq 2289  df-clel 2292  df-nfc 2421  df-ne 2461  df-v 2803  df-dif 3168
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