Proof: Add Negative B

Let's prove the following theorem:

if a = b, then a + (b ⋅ (-1)) = 0

Proof:

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

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