Proof: Subtract to Zero 3
Let's prove the following theorem:
if a - b = 0, then a = b
Proof:
Given
1 | a - b = 0 |
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# | Claim | Reason |
---|---|---|
1 | a = 0 + b | if a - b = 0, then a = 0 + b |
2 | 0 + b = b | 0 + b = b |
3 | a = b | if a = 0 + b and 0 + b = b, then a = b |
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