Proof: Substitute

Let's prove the following theorem:

if the following are true:
  • a = b
  • f = b - c

then f = a - c

Proof:

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Given
1 a = b
2 f = b - c
Proof Table
# Claim Reason
1 b - c = a - c if a = b, then b - c = a - c
2 f = a - c if f = b - c and b - c = a - c, then f = a - c

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