Proof: Subtract Both Sides Pre 2

Let's prove the following theorem:

b + (c + (c ⋅ (-1))) = b

Proof:

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Proof Table
# Claim Reason
1 b + (c + (c ⋅ (-1))) = b + 0 b + (c + (c ⋅ (-1))) = b + 0
2 b + 0 = b b + 0 = b
3 b + (c + (c ⋅ (-1))) = b if b + 0 = b and b + (c + (c ⋅ (-1))) = b + 0, then b + (c + (c ⋅ (-1))) = b

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