1 + 1 = 2
Any "proof" you see that claims otherwise is fallacious.
Edit: by dividing by zero.
Note: one plus one also equals window, zero (when in mod 1), and 11 (1&1)
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One plus one does equal two. If you have one object, then bring in another object, you will have one more than what you started with. That would be two.
This is called the Abel-Ruffini theorem.
You cannot. What you have in the question is an expression. An expression cannot be proven. You need an equation (or inequality).
Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
This would be a real bear to prove, mainly because it's not true.