Proof: Power Symmetry
Let's prove the following theorem:
(xm) ⋅ (xn) = x(m + n)
Proof:
# | Claim | Reason |
---|---|---|
1 | x(m + n) = (xm) ⋅ (xn) | x(m + n) = (xm) ⋅ (xn) |
2 | (xm) ⋅ (xn) = x(m + n) | if x(m + n) = (xm) ⋅ (xn), then (xm) ⋅ (xn) = x(m + n) |
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