for G being Go-board
for f being S-Sequence_in_R2
for p being Point of (TOP-REAL 2)
for k being Nat st 1 <= k & k < p .. f & f is_sequence_on G & p in rng f holds
( left_cell ((R_Cut (f,p)),k,G) = left_cell (f,k,G) & right_cell ((R_Cut (f,p)),k,G) = right_cell (f,k,G) )