I wonder if this particular example does the opposite. It's too rigorous for a normal human. It seems humorously rigorous to state things like 10 is not equal to 0, and 10 is a real number and 1 is less than 10, not to mention the number of seemingly redundant repetitions showing how each of the numbers discussed is a complex number, separately an individually. Does defining 1+9=10 make the proof more believable?

Rigorous proofs like this are for mathematicians and computers, I doubt they help anyone believe who doesn't believe.

I'm not sure how best to help someone who doesn't believe, but it could take arguments with stronger intuition, or just allowing the person to demonstrate with their own proof. It probably depends on the person, and why they don't believe it.