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Added in the proof for PTR-BCR-4 (on. page 23, equation 72). The following code is added:
b = dec2bin(2^5-1: -1 :0)-'0';
b1=b(:,1);b2=b(:,2);b3=b(:,3);b4=b(:,4);ba1=b(:,5);
LHS = min(reshape (b1.*b2.*b3.b4,2,[]));
RHS = min(reshape (b1 + b2 + b3 + b4 - 2ba1,2,[]));
isequal(LHS,RHS);