theorem :: JORDAN22:12

for C being Simple_closed_curve
for i being Nat
for r, t being Real st r > 0 & t > 0 holds
ex n being Nat st
( i < n & dist (((Gauge (C,n)) * (1,1)),((Gauge (C,n)) * (1,2))) < r & dist (((Gauge (C,n)) * (1,1)),((Gauge (C,n)) * (2,1))) < t )