Proof: Distributive Property Variation 4
Let's prove the following theorem:
(a ⋅ b) + (a ⋅ c) = a ⋅ (b + c)
Proof:
# | Claim | Reason |
---|---|---|
1 | a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c) | a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c) |
2 | (a ⋅ b) + (a ⋅ c) = a ⋅ (b + c) | if a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c), then (a ⋅ b) + (a ⋅ c) = a ⋅ (b + c) |
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