Proof: Add Substitute Term
Let's prove the following theorem:
if the following are true:
- x = y
- (a + x) + c = f
then (a + y) + c = f
Proof:
Given
1 | x = y |
---|---|
2 | (a + x) + c = f |
# | Claim | Reason |
---|---|---|
1 | (a + x) + c = (a + y) + c | if x = y, then (a + x) + c = (a + y) + c |
2 | (a + y) + c = f | if (a + x) + c = (a + y) + c and (a + x) + c = f, then (a + y) + c = f |
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