for j being Nat for D being non emptyset for f1 being FinSequence of D for i1, i2 being Nat st 1 <= i2 & i2 <= i1 & i1 <=len f1 & 1 <= j & j <=(i1 -' i2)+ 1 holds ( (mid (f1,i1,i2)). j =(mid (f1,i2,i1)).((((i1 - i2)+ 1)- j)+ 1) & (((i1 - i2)+ 1)- j)+ 1 =(((i1 -' i2)+ 1)-' j)+ 1 )