Proof: Swap Terms 2 and 3
Let's prove the following theorem:
((a ⋅ b) ⋅ c) ⋅ d = ((a ⋅ c) ⋅ b) ⋅ d
Proof:
# | Claim | Reason |
---|---|---|
1 | (a ⋅ b) ⋅ c = (a ⋅ c) ⋅ b | (a ⋅ b) ⋅ c = (a ⋅ c) ⋅ b |
2 | ((a ⋅ b) ⋅ c) ⋅ d = ((a ⋅ c) ⋅ b) ⋅ d | if (a ⋅ b) ⋅ c = (a ⋅ c) ⋅ b, then ((a ⋅ b) ⋅ c) ⋅ d = ((a ⋅ c) ⋅ b) ⋅ d |
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