reserve S for non empty non void ManySortedSign,
  V for non-empty ManySortedSet of the carrier of S,
  A for non-empty MSAlgebra over S,
  X for non empty Subset of S-Terms V,
  t for Element of X;

theorem
  for A being finite-yielding non-empty MSAlgebra over S
  for X being SetWithCompoundTerm of S,V
  for g being OperSymbol of X-CircuitStr
  holds Den(g, X-Circuit A) = the_action_of (g, A) by Def5;
