Identify the fallacy committed in the following statement: 'Water is a non-poisonous compound. Therefore, its components oxygen and hydrogen are non-poisonous.'

The argument passes a property of the whole down to its parts, the fallacy of division.

Water as a whole compound is non-poisonous.

From this it wrongly concludes each component is non-poisonous.

A trait of the whole need not belong to its separate elements.

Inferring the parts' character solely from the whole is division.