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Theorem sbco2vlem 1917
 Description: This is a version of sbco2 1938 where is distinct from and from . It is a lemma on the way to proving sbco2v 1921 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 1914 . 2
3 sbequ 1812 . 2
42, 3sbieh 1763 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 104  wal 1329  wsb 1735 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515 This theorem depends on definitions:  df-bi 116  df-nf 1437  df-sb 1736 This theorem is referenced by:  sbco2vh  1918
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