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Theorem sbh 1732
 Description: Substitution for a variable not free in a wff does not affect it. (Contributed by NM, 5-Aug-1993.) (Revised by NM, 17-Oct-2004.)
Hypothesis
Ref Expression
sbh.1
Assertion
Ref Expression
sbh

Proof of Theorem sbh
StepHypRef Expression
1 sb1 1722 . . . 4
2 sbh.1 . . . . 5
3219.41h 1646 . . . 4
41, 3sylib 121 . . 3
54simprd 113 . 2
6 stdpc4 1731 . . 3
72, 6syl 14 . 2
85, 7impbii 125 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wb 104  wal 1312  wex 1451  wsb 1718 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-5 1406  ax-gen 1408  ax-ie1 1452  ax-ie2 1453  ax-4 1470  ax-i9 1493  ax-ial 1497 This theorem depends on definitions:  df-bi 116  df-sb 1719 This theorem is referenced by:  sbf  1733  sb6x  1735  nfs1f  1736  hbs1f  1737  sbid2h  1803  sblimv  1848  sbrim  1905  sbrbif  1911  elsb3  1927  elsb4  1928
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