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