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Theorem sb5rf 1774
 Description: Reversed substitution. (Contributed by NM, 3-Feb-2005.) (Proof shortened by Andrew Salmon, 25-May-2011.)
Hypothesis
Ref Expression
sb5rf.1
Assertion
Ref Expression
sb5rf

Proof of Theorem sb5rf
StepHypRef Expression
1 sb5rf.1 . . . 4
21sbid2h 1771 . . 3
3 sb1 1690 . . 3
42, 3sylbir 133 . 2
5 stdpc7 1694 . . . 4
65imp 122 . . 3
71, 6exlimih 1525 . 2
84, 7impbii 124 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102   wb 103  wal 1283  wex 1422  wsb 1686 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-11 1438  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468 This theorem depends on definitions:  df-bi 115  df-sb 1687 This theorem is referenced by:  2sb5rf  1907  sbelx  1915
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