Proof: Distributive Property 5
Let's prove the following theorem:
(a ⋅ c) + (b ⋅ c) = (a + b) ⋅ c
Proof:
# | Claim | Reason |
---|---|---|
1 | (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c) | (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c) |
2 | (a ⋅ c) + (b ⋅ c) = (a + b) ⋅ c | if (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c), then (a ⋅ c) + (b ⋅ c) = (a + b) ⋅ c |
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