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Theorem sb8ab 2159
 Description: Substitution of variable in class abstraction. (Contributed by Jim Kingdon, 27-Sep-2018.)
Hypothesis
Ref Expression
sb8ab.1
Assertion
Ref Expression
sb8ab

Proof of Theorem sb8ab
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 sb8ab.1 . . . 4
21sbco2 1839 . . 3
3 df-clab 2027 . . 3
4 df-clab 2027 . . 3
52, 3, 43bitr4ri 202 . 2
65eqriv 2037 1
 Colors of variables: wff set class Syntax hints:   wceq 1243  wnf 1349   wcel 1393  wsb 1645  cab 2026 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-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033 This theorem is referenced by: (None)
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