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Theorem sstrALT2VD 28946
 Description: Virtual deduction proof of sstrALT2 28947. (Contributed by Alan Sare, 11-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
sstrALT2VD

Proof of Theorem sstrALT2VD
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 dfss2 3337 . . 3
2 idn1 28665 . . . . . . 7
3 simpr 448 . . . . . . 7
42, 3e1_ 28728 . . . . . 6
5 simpl 444 . . . . . . . 8
62, 5e1_ 28728 . . . . . . 7
7 idn2 28714 . . . . . . 7
8 ssel2 3343 . . . . . . 7
96, 7, 8e12an 28837 . . . . . 6
10 ssel2 3343 . . . . . 6
114, 9, 10e12an 28837 . . . . 5
1211in2 28706 . . . 4
1312gen11 28717 . . 3
14 bi2 190 . . 3
151, 13, 14e01 28792 . 2
1615in1 28662 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359  wal 1549   wcel 1725   wss 3320 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2423  df-cleq 2429  df-clel 2432  df-in 3327  df-ss 3334  df-vd1 28661  df-vd2 28670
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