Power and Significant results I need some clarity on the following statement:
"Statistically significant result, then there was - by definition - sufficient statistical power."
Is this right? if so how?

I say this is a ridiculous statement. A typical standard for power is $80\%$. If you have $1\%$ power and happen to luck into that one-in-a-hundred situation of being able to reject, that does not change the fact that your study had limited power.
Further, power must reference a certain effect. As is discussed here, low power corresponds to overestimating that effect, meaning that rejecting a null hypothesis might be the correct decision, but your analysis still has issues. Thus, even an argument like, “Yes, the sample size was tiny, but we rejected, anyway,” might be reasonable for just the rejection, but you are likely to have overestimated the effect.
