Proof: Subtract Equation
Let's prove the following theorem:
if a + b = c, then a = c - b
Proof:
Given
1 | a + b = c |
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# | Claim | Reason |
---|---|---|
1 | a = c + (b ⋅ (-1)) | if a + b = c, then a = c + (b ⋅ (-1)) |
2 | c - b = c + (b ⋅ (-1)) | c - b = c + (b ⋅ (-1)) |
3 | a = c - b | if a = c + (b ⋅ (-1)) and c - b = c + (b ⋅ (-1)), then a = c - b |
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