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Theorem sb8e 2065
 Description: Substitution of variable in existential quantifier. (Contributed by NM, 12-Aug-1993.) (Revised by Mario Carneiro, 6-Oct-2016.)
Hypothesis
Ref Expression
sb5rf.1
Assertion
Ref Expression
sb8e

Proof of Theorem sb8e
StepHypRef Expression
1 sb5rf.1 . . . . . 6
21nfn 1793 . . . . 5
32sb8 2064 . . . 4
4 sbn 2034 . . . . 5
54albii 1557 . . . 4
63, 5bitri 240 . . 3
76notbii 287 . 2
8 df-ex 1533 . 2
9 df-ex 1533 . 2
107, 8, 93bitr4i 268 1
 Colors of variables: wff set class Syntax hints:   wn 3   wb 176  wal 1531  wex 1532  wnf 1535  wsb 1639 This theorem is referenced by:  exsbOLD  2103  sb8mo  2195  pm11.58  26737  bnj985  28496 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1537  ax-5 1548  ax-17 1607  ax-9 1645  ax-8 1666  ax-6 1720  ax-7 1725  ax-11 1732  ax-12 1897 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1310  df-ex 1533  df-nf 1536  df-sb 1640
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