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Theorem vjust 2552
Description: Soundness justification theorem for df-v 2553. (Contributed by Rodolfo Medina, 27-Apr-2010.)
Assertion
Ref Expression
vjust  {  |  }  {  |  }

Proof of Theorem vjust
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 equid 1586 . . . . 5
21sbt 1664 . . . 4
3 equid 1586 . . . . 5
43sbt 1664 . . . 4
52, 42th 163 . . 3
6 df-clab 2024 . . 3  {  |  }
7 df-clab 2024 . . 3  {  |  }
85, 6, 73bitr4i 201 . 2  {  |  }  {  |  }
98eqriv 2034 1  {  |  }  {  |  }
Colors of variables: wff set class
Syntax hints:   wceq 1242   wcel 1390  wsb 1642   {cab 2023
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-sb 1643  df-clab 2024  df-cleq 2030
This theorem is referenced by: (None)
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