Proof: Multiply Substitute Two Terms 2

Let's prove the following theorem:

if the following are true:
  • a = x
  • c = y
  • s = (a + c) / m

then s = (x + y) / m

Proof:

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

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