 reserve RNS1,RNS2 for RealLinearSpace;

theorem
for N be Multilayer_perceptron
  holds
  ex k be FinSequence of NAT
   st
   len N + 1 = len k
   &
   for i be Nat st 1<=i & i < len k
     holds N.i is Function of REAL-NS (k.i), REAL-NS (k.(i+1)) by Def2;
