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