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I'm having trouble with question 6.41 (A ∧ B) ∨ ¬A ∨ ¬B in the textbook...

I'm having trouble with question 6.41 (A ∧ B) ∨ ¬A ∨ ¬B in the textbook Language Proof and Logic (2nd edition) how do I write a formal proof without using Taut Con? I wrote one using Taut Con but I am unsure how to write it differently without using the rule.

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