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Theorem sbco2vlem 1869
 Description: This is a version of sbco2 1888 where is distinct from and from . It is a lemma on the way to proving sbco2v 1870 which only requires that and be distinct. (Contributed by Jim Kingdon, 25-Dec-2017.) Remove one disjoint variable condition. (Revised 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 1866 . 2
3 sbequ 1769 . 2
42, 3sbieh 1721 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 104  wal 1288  wsb 1693 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 666  ax-5 1382  ax-7 1383  ax-gen 1384  ax-ie1 1428  ax-ie2 1429  ax-8 1441  ax-10 1442  ax-11 1443  ax-i12 1444  ax-4 1446  ax-17 1465  ax-i9 1469  ax-ial 1473  ax-i5r 1474 This theorem depends on definitions:  df-bi 116  df-nf 1396  df-sb 1694 This theorem is referenced by:  sbco2v  1870
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