Proof: Multiply Substitute Two Terms 2
Let's prove the following theorem:
if the following are true:
- a = x
- c = y
- s = (a + c) / m
then s = (x + y) / m
Proof:
Given
| 1 | a = x |
|---|---|
| 2 | c = y |
| 3 | s = (a + c) / m |
| # | Claim | Reason |
|---|---|---|
| 1 | (a + c) / m = (x + y) / m | if c = y and a = x, then (a + c) / m = (x + y) / m |
| 2 | s = (x + y) / m | if (a + c) / m = (x + y) / m and s = (a + c) / m, then s = (x + y) / m |
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