Proof: Sum Equation Pre 3

Let's prove the following theorem:

if (a + b) + c = d, then a + c = d + (b ⋅ (-1))

Proof:

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Given
1 (a + b) + c = d
Proof Table
# Claim Reason
1 (b + a) + c = d if (a + b) + c = d, then (b + a) + c = d
2 a + c = d + (b ⋅ (-1)) if (b + a) + c = d, then a + c = d + (b ⋅ (-1))

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