Proof: Substitution 4
Let's prove the following theorem:
if a = b, then (a ⋅ c) + d = (b ⋅ c) + d
Proof:
Given
1 | a = b |
---|
# | Claim | Reason |
---|---|---|
1 | a ⋅ c = b ⋅ c | if a = b, then a ⋅ c = b ⋅ c |
2 | (a ⋅ c) + d = (b ⋅ c) + d | if a ⋅ c = b ⋅ c, then (a ⋅ c) + d = (b ⋅ c) + d |
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