@messiah of culture,
depends on how you time it. Working out in general, from running, jogging, jumping jacks, pull out, etc is not bad at all, I assume you strech a bit. I see tons of joggers, they get up out of bed do a run, come back for breakfast and then go to work/school.
The answer is no. Your body needs to rejuvenate from any loss of calories. Not Break-fast. While fasting your body has nutrients to use.
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When I lost weight, I was only thinking about my diet needs and doing my walks. It worked. Now talking about gaining muscule mass or maintaining it via exercise and a proper matching diet is another story all together.