theorem Th19: :: MSAFREE3:19

for S being non void Signature
for Y being non-empty ManySortedSet of the carrier of S
for X being ManySortedSet of the carrier of S
for o being OperSymbol of S
for p being ArgumentSeq of Sym (o,Y) holds
( (Sym (o,Y)) -tree p in (S -Terms (X,Y)) . (the_result_sort_of o) iff rng p c= Union (S -Terms (X,Y)) )