Proof: Multiply Substitute Two Terms

Let's prove the following theorem:

if the following are true:
  • a = x
  • c = y

then (a + c) / m = (x + y) / m

Proof:

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Given
1 a = x
2 c = y
Proof Table
# Claim Reason
1 a + c = x + y if a = x and c = y, then a + c = x + y
2 (a + c) / m = (x + y) / m if a + c = x + y, then (a + c) / m = (x + y) / m

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