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Theorem sbco2vlem 1820
 Description: This is a version of sbco2 1839 where is distinct from and from . It is a lemma on the way to proving sbco2v 1821 which only requires that and be distinct. (Contributed by Jim Kingdon, 25-Dec-2017.) (One distinct variable constraint removed by Jim Kingdon, 3-Feb-2018.)
Hypothesis
Ref Expression
sbco2vlem.1
Assertion
Ref Expression
sbco2vlem
Distinct variable groups:   ,   ,
Allowed substitution hints:   (,,)

Proof of Theorem sbco2vlem
StepHypRef Expression
1 sbco2vlem.1 . . 3
21hbsbv 1817 . 2
3 sbequ 1721 . 2
42, 3sbieh 1673 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 98  wal 1241  wsb 1645 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-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428 This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646 This theorem is referenced by:  sbco2v  1821
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