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Should I use “that”?

I was wondering that which of the following is better? From Theorem XXX we obtain YYY is red color... or From Theorem XXX we obtain that YYY is red color... Should I put "that" after obtain?
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Definition for an outer cycle in formal English

When defining a thing based on the mathematical perspective, I am using the following construction: This cycle can be defined as Outer Cycle: The closed path between two vertices whose starting ...