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Theorem vjust 2575
 Description: Soundness justification theorem for df-v 2576. (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 1605 . . . . 5
21sbt 1683 . . . 4
3 equid 1605 . . . . 5
43sbt 1683 . . . 4
52, 42th 167 . . 3
6 df-clab 2043 . . 3
7 df-clab 2043 . . 3
85, 6, 73bitr4i 205 . 2
98eqriv 2053 1
 Colors of variables: wff set class Syntax hints:   wceq 1259   wcel 1409  wsb 1661  cab 2042 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-5 1352  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-8 1411  ax-4 1416  ax-17 1435  ax-i9 1439  ax-ial 1443  ax-ext 2038 This theorem depends on definitions:  df-bi 114  df-nf 1366  df-sb 1662  df-clab 2043  df-cleq 2049 This theorem is referenced by: (None)
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