Can I process the part of the effect after "then" in this card's [When Digivolving] [On Deletion] effect even if the "if" condition in the 1st process isn't met?
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Yes, you can process it. Even if your opponent doesn't have 10 or fewer cards in their hand, this card's [When Digivolving] [On Deletion] effect will delete 1 of their level 3 or lower Digimon.
Source: EX10-049 SkullSatamon