Proof: Divide Substitute
Let's prove the following theorem:
if the following are true:
- a = b / c
- b = d
then a = d / c
Proof:
Given
1 | a = b / c |
---|---|
2 | b = d |
# | Claim | Reason |
---|---|---|
1 | b / c = d / c | if b = d, then b / c = d / c |
2 | a = d / c | if a = b / c and b / c = d / c, then a = d / c |
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