Proof: Multiply And Subtract Each Side

Let's prove the following theorem:

if a = b, then (a ⋅ c) - d = (b ⋅ c) - d

Proof:

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Given
1 a = b
Proof Table
# 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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