theorem Th39: :: COH_SP:40

for X being set
for m being Element of MapsT X ex f being Element of FuncsT X ex T1, T2 being Element of TOL X st
( m = [[T1,T2],f] & ( T2 `2 = {} implies T1 `2 = {} ) & f is Function of (T1 `2),(T2 `2) & ( for x, y being set st [x,y] in T1 `1 holds
[(f . x),(f . y)] in T2 `1 ) )