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Theorem sbanv 1766
Description: Version of sban 1826 where and are distinct. (Contributed by Jim Kingdon, 24-Dec-2017.)
Assertion
Ref Expression
sbanv
Distinct variable group:   ,
Allowed substitution hints:   (,)   (,)

Proof of Theorem sbanv
StepHypRef Expression
1 sb6 1763 . 2
2 sb6 1763 . . . 4
3 sb6 1763 . . . 4
42, 3anbi12i 433 . . 3
5 19.26 1367 . . 3
6 pm4.76 536 . . . 4
76albii 1356 . . 3
84, 5, 73bitr2i 197 . 2
91, 8bitr4i 176 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wb 98  wal 1240  wsb 1642
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-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-11 1394  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-sb 1643
This theorem is referenced by:  sban  1826
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