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Theorem sb8e 2256
 Description: Substitution of variable in existential quantifier. (Contributed by NM, 12-Aug-1993.) (Revised by Mario Carneiro, 6-Oct-2016.) (Proof shortened by Jim Kingdon, 15-Jan-2018.)
Hypothesis
Ref Expression
sb5rf.1
Assertion
Ref Expression
sb8e

Proof of Theorem sb8e
StepHypRef Expression
1 sb5rf.1 . 2
21nfs1 2196 . 2
3 sbequ12 2085 . 2
41, 2, 3cbvex 2117 1
 Colors of variables: wff setvar class Syntax hints:   wb 188  wex 1665  wnf 1669  wsb 1799 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1671  ax-4 1684  ax-5 1760  ax-6 1807  ax-7 1853  ax-10 1917  ax-11 1922  ax-12 1935  ax-13 2093 This theorem depends on definitions:  df-bi 189  df-an 373  df-ex 1666  df-nf 1670  df-sb 1800 This theorem is referenced by:  sbnf2  2270  2sb8e  2298  sb8mo  2335  mo3  2338  bnj985  29776  bj-mo3OLD  31459  sbcexf  32365  exlimddvfi  32374  pm11.58  36751
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