theorem :: SCMPDS_6:117

for a being Int_position
for k1 being Integer
for I being Program of holds
( (if>=0 (a,k1,I)) . 0 = (a,k1) >=0_goto 2 & (if>=0 (a,k1,I)) . 1 = goto ((card I) + 1) ) by Lm10;