reserve W for Universe,
  H for ZF-formula,
  x,y,z,X for set,
  k for Variable,
  f for Function of VAR,W,
  u,v for Element of W;
reserve F for Function,
  A,B,C for Ordinal,
  a,b,b1,b2,c for Ordinal of W,
  fi for Ordinal-Sequence,
  phi for Ordinal-Sequence of W,
  H for ZF-formula;
reserve psi for Ordinal-Sequence;
reserve L for DOMAIN-Sequence of W,
  n for Element of NAT,
  f for Function of VAR,L.a;
reserve x1 for Variable;
reserve M for non countable Aleph;

theorem
  M is strongly_inaccessible implies Rank M is being_a_model_of_ZF
proof
  assume M is strongly_inaccessible;
  then
A1: Rank M is Universe by CARD_LAR:38;
  omega c= M;
  then omega c< M;
  then
A2: omega in M by ORDINAL1:11;
  M c= Rank M by CLASSES1:38;
  hence thesis by A1,A2,Th6;
end;
