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Theorem sb6f 1681
Description: Equivalence for substitution when is not free in . (Contributed by NM, 5-Aug-1993.) (Revised by NM, 30-Apr-2008.)
Hypothesis
Ref Expression
equs45f.1
Assertion
Ref Expression
sb6f

Proof of Theorem sb6f
StepHypRef Expression
1 equs45f.1 . . . 4
21sbimi 1644 . . 3
3 sb4a 1679 . . 3
42, 3syl 14 . 2
5 sb2 1647 . 2
64, 5impbii 117 1
Colors of variables: wff set class
Syntax hints:   wi 4   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-11 1394  ax-4 1397  ax-i9 1420  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-sb 1643
This theorem is referenced by:  sb5f  1682  sbcof2  1688
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