Proof: Divide Numerators 2
Let's prove the following theorem:
if the following are true:
- a / c = b / c
- not (c = 0)
then b = a
Proof:
Given
1 | a / c = b / c |
---|---|
2 | not (c = 0) |
# | Claim | Reason |
---|---|---|
1 | a = b | if a / c = b / c and not (c = 0), then a = b |
2 | b = a | if a = b, then b = a |
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