No, Creme de Coconut is an alcoholic drink. Coconut milk is
produced from the pulp of a fresh coconut.
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Coconut flesh from a mature (not green) coconut and water. These
are mixed together then pressed and seived to get a liquid called
coconut milk. If there is less water used then you get coconut
cream.
The liquid inside a coconut is very differnent. That is coconut
liquor which is sweet and fairly translucent compared to milk.
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No, it contains "coconut water". Depending on the age of the
coconut, it may be slightly milky or more watery, but it's not milk
or even "coconut milk", which is made from the meat of the
coconut.