ab = 0 if and only if (a = 0 or b = 0)
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multiply anything by zero and your product will be zero!
The product of zero and any number is always 0.
If you're including zero, the product is zero.
Could you please specify which postulate you are referring to?
If one is zero, then the product is always zero.(Think about it ... you take 279 zero times. How much do you have ?)