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