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Theorem tpid3gVD 37248
 Description: Virtual deduction proof of tpid3g 4090. (Contributed by Alan Sare, 24-Oct-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
tpid3gVD

Proof of Theorem tpid3gVD
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 idn2 37003 . . . . . . 7
2 3mix3 1180 . . . . . . . . . 10
31, 2e2 37021 . . . . . . . . 9
4 abid 2441 . . . . . . . . 9
53, 4e2bir 37023 . . . . . . . 8
6 dftp2 4020 . . . . . . . . 9
76eleq2i 2523 . . . . . . . 8
85, 7e2bir 37023 . . . . . . 7
9 eleq1 2519 . . . . . . . 8
109biimpd 211 . . . . . . 7
111, 8, 10e22 37061 . . . . . 6
1211in2 36995 . . . . 5
1312gen11 37006 . . . 4
14 19.23v 1820 . . . 4
1513, 14e1bi 37019 . . 3
16 idn1 36955 . . . 4
17 elisset 3059 . . . 4
1816, 17e1a 37017 . . 3
19 id 22 . . 3
2015, 18, 19e11 37078 . 2
2120in1 36952 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   w3o 985  wal 1444   wceq 1446  wex 1665   wcel 1889  cab 2439  ctp 3974 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1671  ax-4 1684  ax-5 1760  ax-6 1807  ax-7 1853  ax-10 1917  ax-11 1922  ax-12 1935  ax-13 2093  ax-ext 2433 This theorem depends on definitions:  df-bi 189  df-or 372  df-an 373  df-3or 987  df-tru 1449  df-ex 1666  df-nf 1670  df-sb 1800  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2583  df-v 3049  df-un 3411  df-sn 3971  df-pr 3973  df-tp 3975  df-vd1 36951  df-vd2 36959 This theorem is referenced by: (None)
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