Proof: Add Number to Both Sides
Let's prove the following theorem:
if a + 90 = 180, then a = 90
Proof:
Given
1 | a + 90 = 180 |
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# | Claim | Reason |
---|---|---|
1 | 180 + (90 ⋅ (-1)) = a | if a + 90 = 180, then 180 + (90 ⋅ (-1)) = a |
2 | 90 = a | if 180 + (90 ⋅ (-1)) = a, then 90 = a |
3 | a = 90 | if 90 = a, then a = 90 |
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