Proof: Distance Symmetry Example 2
Let's prove the following theorem:
if x ⋅ (distance AB) = (distance CD) ⋅ y, then x ⋅ (distance BA) = (distance DC) ⋅ y
Proof:
Proof Table
# | Claim | Reason |
---|---|---|
1 | x ⋅ (distance BA) = (distance CD) ⋅ y | if x ⋅ (distance AB) = (distance CD) ⋅ y, then x ⋅ (distance BA) = (distance CD) ⋅ y |
2 | distance CD = distance DC | distance CD = distance DC |
3 | x ⋅ (distance BA) = (distance DC) ⋅ y | if x ⋅ (distance BA) = (distance CD) ⋅ y and distance CD = distance DC, then x ⋅ (distance BA) = (distance DC) ⋅ y |
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